diff --git "a/data/dm_maths/full_data_1/2429_11255.jsonl" "b/data/dm_maths/full_data_1/2429_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_1/2429_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Two letters picked without replacement from {p: 2, z: 1, c: 2, w: 3, u: 4}. What is prob of sequence uc?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*y = -20*n + 22*n - 5, -14 = -3*y + n for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 54347115*o**3 + 291847*o - 89 wrt o.\nAnswer: 326082690*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 499326307 to the nearest integer?\nAnswer: 22346","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(1 + sqrt(3)))**2*-6.\nAnswer: -600 - 300*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(200) - (sqrt(200) + (1 + sqrt(200) + sqrt(200) - sqrt(200))) - sqrt(200))*-2 - (4 + (3 + sqrt(200) - sqrt(200)))**2.\nAnswer: -47 + 40*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 54.498 - 54.458. Let d = -0.35 + -0.05. Which is the closest to -1? (a) d (b) 0.1 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor i**5\/4 + 3*i**4\/4 + i**3\/2 - i**2\/2 - 3*i\/4 - 1\/4.\nAnswer: (i - 1)*(i + 1)**4\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.251 + -0.749. Let h = -0.5 + 1.5. What is the closest to 1\/5 in h, 1\/2, z?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2673 times 181940\nAnswer: -486325620","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -4 + -6a033e?\nAnswer: -6a0342","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -38*2.\nAnswer: -76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*(q**(3\/2)\/q*q)\/q*(q\/(q\/((q\/(q\/q**(-5\/4))*q)\/q)))\/q)\/(q**(-3)*q**0))**40 assuming q is positive.\nAnswer: q**90","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -m**3 - 14*m**2 + 12. Suppose 8*t = 4*t - 72. Let k be (-768)\/54 - 4\/t. Let d be p(k). Solve 4*o - 4 = d for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:25 PM and 12:50 PM?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 65\/6 - 34\/3. What is the closest to 7 in -1, 0.5, u?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1 - -13. Let h be (c\/(-8))\/((-1)\/8). Calculate the greatest common factor of h and 30.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000001583 rounded to 7 dps?\nAnswer: -0.0000016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 5, y: 4, g: 5, r: 2, f: 3, e: 1}. What is prob of sequence hrr?\nAnswer: 1\/684","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 684 divided by 12?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -438 + 438 + 2*m. Let d(z) = 6*z**2. Determine d(b(y)).\nAnswer: 24*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*g + 17 + 4 = 0. Suppose 304 = g*b - 134. Suppose 4*i - 371 = -5*l, 0 = -2*l - 3*i - i + b. Calculate the highest common factor of 15 and l.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 113? (a) 1\/4 (b) -1\/5 (c) -2 (d) 60688\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2496)\/(-176) + 4\/(-22). Let m = o + -11. Let a(s) = -6*s + 6*s - s**2 - m*s - 6 - 4*s. Calculate a(-4).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) be the second derivative of 3*g**4 + 0 + 4*g**2 + g**5 - 11*g + 2\/15*g**6 + 14\/3*g**3. Factor c(d).\nAnswer: 4*(d + 1)**3*(d + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 6780 and 63054?\nAnswer: 630540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 59\/2825006 and 7\/212.\nAnswer: 5650012","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5.117 - 18.\nAnswer: -12.883","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 389 divide 262649946?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*m**2\/4 - 10221*m\/2 + 61353\/4.\nAnswer: -3*(m - 3)*(m + 6817)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5550982957.\nAnswer: 13, 2789, 11777","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c = r + 263 + 93, 0 = 3*r + 4*c + 1063. Let i = r - -482. What are the prime factors of i?\nAnswer: 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 22 and 286.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -4*j**3 - 12*j**2 - 7*j + 4. Suppose 3*y - 8 = -5*w, 38 = -4*y + 5*w + 2. Let l be v(y). What is l rounded to the nearest 10?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -6 - -33?\nAnswer: 2c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find a, given that 4*a**2 + 37765388*a - 226592472 = 0.\nAnswer: -9441353, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 6077 - 60847\/10. Find the common denominator of d and -125\/6.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1269189229?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:24 AM and 4:17 AM?\nAnswer: 173","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 24, -3, 76807 in increasing order.\nAnswer: -3, 24, 76807","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g - 5*b = -19, -g - 3*g - b + 14 = 0. Suppose -g*a + 8 = -a. Does 27 divide -4 + -2 + a - -56?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from juuuuuujpvqpjuju. Give prob of picking 1 j and 2 u.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-2)\/5)\/(3\/(-30)). Let r(y) be the second derivative of y**4\/12 - y**3\/2 + y. Calculate r(h).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 427 and 848449.\nAnswer: 427","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.045677 rounded to two dps?\nAnswer: 1.05","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence emm when three letters picked without replacement from {e: 3, m: 9}.\nAnswer: 9\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15287?\nAnswer: 15287","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express 71 - 29*h - 71 + 100*h as f*h + s and give f.\nAnswer: 71","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 12433 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 3 and -12895?\nAnswer: -38685","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 108, -1, 3, -0.5, -4 in decreasing order.\nAnswer: 108, 4, 3, -0.5, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 23\/(-230) - (-2)\/(-4)?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 0.059 times -2108\nAnswer: -124.372","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sum -160 and -1311.\nAnswer: -1471","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 770 and 300300?\nAnswer: 300300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000200663 to five dps.\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 39086?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1207650677 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 6*r - 160 = 0. Calculate the greatest common factor of r and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -9 times -242.4\nAnswer: 2181.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*w**2 + 2216*w\/3 - 246.\nAnswer: -2*(w - 369)*(3*w - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (-17 - (6 - (35 + -13))) + -1 + 1\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2\/(-8) + 714\/136. Let k(w) = -9*w - 13. Let y(l) = -6*l - 9. What is x*k(o) - 7*y(o)?\nAnswer: -3*o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 82 is divided by (-3*9\/108)\/((-1)\/116).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0 + -0.02. Let f = v + 0.0132. Round f to 3 decimal places.\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -x**3 - 5*x**2 - 3*x. Let r be s(-4). Let y(w) = 15*w - 9. Let u(k) = -k + 1. Let j(z) = -9*u(z) - y(z). Does 12 divide j(r)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -4*o**2 - o - 1. Let l be -1 - (0 + -3 - 0). Let u be k(l). Suppose r + 100 = -5*c, 5*r = 5*c + r + 100. Is u at least c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 114*k - 1555. Calculate t(8).\nAnswer: -643","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 433705*n + 4770754. Determine q(-11).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a - 4 = -39. Suppose a*l - 306 = 51. Does 28 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1929, -12, -2837, 1, -1 in decreasing order.\nAnswer: 1929, 1, -1, -12, -2837","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/11, -1, 0.3, -0.06 in descending order.\nAnswer: 0.3, 2\/11, -0.06, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s*((s\/(s**1\/s))\/s)\/s)\/s)**1\/(s**4\/s**7))\/((s*s**(-1\/2))**(39\/2))**(-1\/7) assuming s is positive.\nAnswer: s**(95\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/((h*h*h*h*(h*h**2)\/h*h)\/h))\/h)**(30\/11)\/(h**(-1\/6)*h\/(h\/(h\/(h\/((h*h\/(h\/h**(-4)*h))\/h*h)))*h)) assuming h is positive.\nAnswer: h**(-739\/66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 62174 and 721?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -70850 - -4.2.\nAnswer: -70845.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2068, -7974, -17730, -31342, -48816, -70158, -95374, -124470?\nAnswer: -157452","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(5*(-1*sqrt(80) - sqrt(80)) + -1 + 2))**2.\nAnswer: -2000*sqrt(5) + 200025","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-4)\/(-6)*12276\/(-31). Let c = z + 403. Let f = -139 + c. Solve -m = -f*m + 1 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-8)\/(3 - -1) + 5. Suppose -m*l = l - 112. Is 14 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = k + 22. Solve 0 = 3*n + 3*j - 18, 4*n + k*j + 8 = 7*j for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-30)\/((-1800)\/(-20))*(-57)\/(-1).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (l**2 - 11*l**2 + 3*l**2)*(208*l + 676*l - 213*l) to the form v + o*l + q*l**2 + h*l**3 and give h.\nAnswer: -4697","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 7649330 rounded to the nearest 10000?\nAnswer: 7650000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 258\/11 + -483\/22. What is the closest to x in -0.4, -20\/9, 5?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2962 - 2941. Solve 3*n + z*c - 17*c = 2, n = -5*c - 3 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -502671 or -502677?\nAnswer: -502677","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -33 + 55. Suppose -2*z = 2*p + z + 8, 0 = -3*p + 3*z + 18. What is the highest common divisor of p and f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + 0*w - 74 = 0. What is the tens digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 4319494 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one halves of a centimeter in millimeters?\nAnswer: 105","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2 + 6. Suppose -4*r + 2*r = -j. Let s be ((-5)\/r)\/(2\/(-8)). Sort s, -3, -4.\nAnswer: -4, -3, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in eleven quarters of a litre?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -w**3 + 7*w**2 - 5*w - 2. Let i be q(6). Solve 2*t + 8 = 0, i*t - t + 13 = -a for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -102 (base 3) in base 11?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 83758*j**2 - 53915*j**2 - 47377*j**2 as w + l*j + g*j**2 and give g.\nAnswer: -17534","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2.2 and -1.337.\nAnswer: -2.9414","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -2*i**2 + 19*i + 14. Calculate the smallest common multiple of 4 and y(10).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -8360 - -8360.3. Let l be (-2 + 2)*1\/(-2). What is the closest to l in 3, v, 0.02?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -0.5, 3, -121554?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 366371 divided by -1.\nAnswer: -366371","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 832?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -289, -575, -857, -1135?\nAnswer: -1409","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 70850 to the power of 1\/2, to the nearest integer?\nAnswer: 266","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -19852813*k**4*v - k**3*v + k**2*v + 27647640*v wrt k?\nAnswer: -476467512*k*v - 6*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 99300?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2793) + sqrt(2793)*-1)\/(sqrt(3) + (sqrt(3) + sqrt(3) + sqrt(33)\/(sqrt(33)\/sqrt(3)) - sqrt(3))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Determine d so that d**2 + 51*d - 52 = 0.\nAnswer: -52, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*x = -80 - 4. Let g = 258 - x. What is the tens digit of g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 21 + -12. Let f(q) = -4*q**2 - 3. Let s(g) = -17*g**2 - 13. What is h*f(r) - 2*s(r)?\nAnswer: -2*r**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1333237*a = -4*t + 1333241*a + 60, 5*t = 2*a + 33 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5671\/76 - 199869\/1672. Let p = q - -371\/8. What is the common denominator of p and (73\/27)\/((-113)\/(-339))?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from thhhthhhhhhh. Give prob of picking 1 t and 2 h.\nAnswer: 9\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 104252, 208421, 312606, 416813, 521048, 625317, 729626, 833981?\n\"Answer: d**3 + 2*d**2 + 104156*d + 93","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 126746577?\nAnswer: 3, 17, 828409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2.5? (a) 3 (b) -2\/7 (c) -0.66 (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 2 - 1430*g + 510*g.\nAnswer: -920*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -3*c**2 - 5058*c - 30337. Determine w(-6).\nAnswer: -97","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7 = 3*h - 2*h + 4*z, -5*z = 4*h + 5 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put together 2946383752639 and 0.3.\nAnswer: 2946383752639.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 100319?\nAnswer: 43, 2333","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 78322 and 394?\nAnswer: 15429434","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -2*p - 0*p. Let i be p*16\/(-2) + -3. Let f = 3 + i. List the prime factors of f.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1074402 to the nearest integer?\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -16, -52, -108, -184, -280, -396?\n\"Answer: -10*p**2 - 6*p","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 - 1 + 1 - p)*(37 - 42 - 24) + 196*p + 94*p - 493*p as i + g*p and give i.\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*n - 3*n + 4*n)*(1 + 2 - 1).\nAnswer: -10*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 3 + -6c57?\nAnswer: -6c54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when ((16\/(-56))\/1)\/(1\/(-119)) is divided by 17.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + sqrt(50)\/(sqrt(1000)*4) + -5)**2.\nAnswer: -sqrt(5)\/2 + 32001\/320","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 35427 * -4\nAnswer: -141708","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out -463598649 * 0.3.\nAnswer: -139079594.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -31 + (-24 - (-115 - (-30 + -1))).\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 2730836, 5461675, 8192514, 10923353, 13654192?\n\"Answer: 2730839*w - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 9 and 45.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express -36 + 8*z**4 + 73 + 165*z**2 - 9*z**3 - 162*z**2 - 35 in the form a*z**3 + q*z**4 + k + b*z**2 + h*z and give k.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in three eighths of a litre?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 80978.35l in millilitres?\nAnswer: 80978350","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 divided by -171396?\nAnswer: 1\/85698","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 55*g - 72*g. Solve g = 21*l - 26*l - 25 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 4, t: 6, v: 3}. What is prob of sequence vt?\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -1 (b) 11 (c) -3\/4 (d) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 472\/180447 less than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16\/(-6)*(-105)\/14?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*x - 5*x + 340 = 5*x. What is the lowest common multiple of x and 44?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1248278927 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + 2*-1*(-5 + 3 + sqrt(363) + sqrt(363) + sqrt(363) + -1 + sqrt(363) + 0 + sqrt(363) + -2 + (1 + 1 + sqrt(363))**2))*4.\nAnswer: -2880 - 792*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -l**2 + 11*l - 16. Give n(8).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 244 minutes before 11:52 AM?\nAnswer: 7:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -2\/1041, 8\/13 in descending order.\nAnswer: 4, 8\/13, -2\/1041","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 87.57208 tonnes to grams.\nAnswer: 87572080","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 2*l**3 - 2*l**2 - 4*l + 7. Let m(i) = -10*i**3 + 26*i**2 - 11*i**3 + 15*i**3 - 21 + 11*i - 20*i**2. What is -4*m(q) - 11*n(q)?\nAnswer: 2*q**3 - 2*q**2 + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 22 in 22\/17, -10, -0.041?\nAnswer: 22\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:49 AM and 9:40 AM?\nAnswer: 231","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1730 and 8365415?\nAnswer: 865","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 12\/37, -1 in descending order.\nAnswer: 12\/37, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 50*c + 2*f = 4*f - 136 + 14, -62*c + 42 = -61*c + 4*f for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 26671 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uuu when three letters picked without replacement from uuuuuuuuu.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand -26*g - 3*g + 70*g + (-5*g - 10 + 10)*(1 - 3 + 4) - g + 4*g - g.\nAnswer: 33*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 6*v**2 - 1 - 7*v**2 - 9*v - 4. Let l be a(-8). What are the prime factors of (l\/1)\/9*45?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 174765?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -18*f - 2793. What is o(-65)?\nAnswer: -1623","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3 and 6609.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.224247 and 0.3.\nAnswer: 0.075753","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -116 - -349\/3. Sort 3, 2, 0, z in decreasing order.\nAnswer: 3, 2, z, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(39)*-3 + sqrt(39) + sqrt(624)*-3)\/(-4*(sqrt(363) + 1*1*sqrt(363) + sqrt(363)))*-3.\nAnswer: -23*sqrt(13)\/44","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 220370 is divided by 3553?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/h**9)\/h*h)**(23\/3) assuming h is positive.\nAnswer: h**(-184\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -88 + 90. Suppose -10*o = -d*o + 5*o. Solve 2*f = -8, o = 3*q + 2*f + 3*f + 35 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + v = -235941, 3*o + 49*v = 45*v + 141583. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1 - 0.6. Suppose s - 14 = 3*s. Let g be (-2)\/s - (-2)\/(-56). Which is the third smallest value? (a) z (b) 4 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -g**2*n - 63496*g**2 + 75866*g*n with respect to n.\nAnswer: -g**2 + 75866*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 0\/(-3) - 602117 - -3. Let p = s - 7886. Round p to the nearest 100000.\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*q - 549 = -4*q. List the prime factors of -1*(1 + 0)*q.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z - 148 = 2*h - 497, -354 = -3*z + 3*h. Let g = z - 66. What is the remainder when g is divided by 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - b = 3*f - 6, 0 = 3*b. Suppose -f*z + 3*z - 3*r = 11, -4*r = -5*z + 44. What are the prime factors of z + ((-1)\/1)\/(-1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4016169 is divided by 71.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*v**4\/3 - 104*v**3\/3 - 100*v**2\/3 = 0. What is v?\nAnswer: -25, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) be the second derivative of b**6\/180 - 23*b**3\/3 - 64*b. Let a(c) be the second derivative of r(c). Let t(m) = 39*m**2. Calculate a(t(i)).\nAnswer: 3042*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -6 + -4 + 7 + 5. Let g(k) = 201*k**2 + 4 - 4 - 199*k**q. Let r(l) = -l - 3. Let j(t) = 2*t + 5. Let y(z) = -3*j(z) - 5*r(z). Give y(g(o)).\nAnswer: -2*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 2*u**3 - u**2 + u - 1. Let p be i(1). Suppose 0 = f - 18 - p. What is the remainder when 31 is divided by f?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 202 minutes after 6:13 PM?\nAnswer: 9:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1.9, -2, 1, 0 in decreasing order.\nAnswer: 1, 0, -1.9, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-22)\/(-33) + 13948\/(-13056) + 1\/2 and -21\/1088.\nAnswer: 1088","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/2 in 5, -5, 35\/9, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (16\/20)\/4*(-1598)\/(423\/9).\nAnswer: -34\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -3*3*25\/(-45). Suppose -71 = -w*f - 2*p + 3*p, f = -5*p + 35. What is the highest common factor of 6 and f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 4628, -460 in descending order.\nAnswer: 4628, 2, -460","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 502*g - 47183 + 26156 = 28408 + 12813 for g.\nAnswer: 124","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -56*g - 5426 = -59*g - 2*s, -4*s - 20 = 0. Calculate the lowest common multiple of g and 24.\nAnswer: 3624","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = w - 3. Let i(j) = -2*j + 7. Let m(p) = -3*i(p) - 7*u(p). Let h = 0 + 2. Let b(f) = 5*f**2 - 2*f**2 - h + 2. What is m(b(c))?\nAnswer: -3*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 0, -7, 5 in increasing order.\nAnswer: -7, 0, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 466, 464, 462, 460?\n\"Answer: -2*q + 468","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16853150 is divided by 254.\nAnswer: 250","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 246300747.\nAnswer: 3, 7, 11, 1066237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 50.68752ml in litres?\nAnswer: 0.05068752","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*t**2 + t**2 - 2*t**2)*(0*t + 2*t + 0*t)*(2 - 6 - 4)*(1 + 1 - 1).\nAnswer: -32*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -68024825 divided by 13604965.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 1 + 0*v**2 + 4*v**3 - 2*v**3 + 4*v**2 - 3*v - 3*v**3. List the prime factors of p(2).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 32*r**2 - 3591*r - 2810. Calculate x(113).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4424 + 4624. What is the highest common factor of s and 625?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -114, -230, -346, -462, -578, -694?\nAnswer: -810","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = x**3 - 11*x**3 + 39 + 11*x**3. Let i be b(0). Suppose -1 = -8*f + i. Solve -j - 2 = -f for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -456 - 125039.6.\nAnswer: -125495.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h = -5*h + 275. Let w(n) = -n**3 + 2*n**2 + 26*n - 5. Let y be w(6). Suppose y*m - 1 = 34. What is the highest common divisor of m and h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(312)\/(-2*sqrt(6))*-1)\/(-1*sqrt(16) - sqrt(144)*1).\nAnswer: -sqrt(13)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-5 + 6)\/((-1)\/(-4)). Suppose -3*n + 11 = 4*k, -l*n + 13 = 2*k - 5*n. Suppose -3*z + k*z - 6 = 0. Solve 0 = w - z*x - 17, -5*w - 5*x = -3*x for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 17\/6 of a century?\nAnswer: 3400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 4 + 20 = 0. Is h >= -29\/6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(-26)\/n*n**(-5\/7)\/n assuming n is positive.\nAnswer: n**(-201\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 182\/39*18\/(-20)*15.\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4*g**2*z**3 + 12*g**2*z**2 + 2*g**2*z - g**2 + 801*g*z**2 + 3768*g*z + 9*z wrt z.\nAnswer: 24*g**2*z + 24*g**2 + 1602*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -11.1 + 0.1. Let k = r + 15. What is the biggest value in k, 2, -7?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4 + 3. Let w(c) be the first derivative of 2*c**3 - c - 36. Calculate w(q).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g - 6 = -244*c + 248*c + 10, 4*g = -5*c - 38 for c.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) be the third derivative of -q**4\/24 - q**3\/6 + 2*q**2. Suppose v + h = 6*h - 27, -25 = 3*v - h. List the prime factors of t(v).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 44 and 23444014.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-2\/7)*k)**48*(k\/k**1)\/k**16 assuming k is positive.\nAnswer: k**(128\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let -s**2\/5 - 797*s\/5 - 796\/5 = 0. Calculate s.\nAnswer: -796, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f - 5*x = -2*f - 4553, 4*x - 6084 = -4*f. Is f\/12 - (-1)\/(-6) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (64\/((-176)\/22))\/(-2). Sort 2, -43, 0, -2, m in descending order.\nAnswer: m, 2, 0, -2, -43","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*s + 7*s - 13471 = 0. What are the prime factors of s?\nAnswer: 709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = 4*a - 24. Suppose -a*i = t - 44, 4*i = t - 4*t + 57. Solve -2*q = 3*q + i for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -59162, -118271, -177322, -236315, -295250, -354127, -412946?\nAnswer: -471707","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 121 + 1330899\/428922*-39\nAnswer: -1\/78","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + 1)*(h**2 + 0*h**2 + 0*h**2)*(16*h**2 - 8*h**2 - 16*h**2)*(-2*h - 1 + 1).\nAnswer: 16*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + 3*l - 104 = -2, 0 = 5*x + l - 170. Let o(n) = -n + 18. Calculate the remainder when x is divided by o(6).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -10*q*s**2 + q*s - 80*q + 2 wrt s.\nAnswer: -20*q*s + q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.17 take away 21070?\nAnswer: -21069.83","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 0.3, -1\/5, -5, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 42783485?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 4 + 1)*(-3*x - x + 3*x) + 9*x + 17*x - 10*x + (-2 - 6 + 3)*(4*x - 3*x + 0*x) + 0*x - 2*x + 0*x as r*x + g and give r.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v + 24 + 18 = 2*w, 3*v + 18 = 0. Let n(s) be the first derivative of 0*s**2 - 1\/4*s**3 + 0*s - w. Factor n(g).\nAnswer: -3*g**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -674 and 61.18?\nAnswer: 735.18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is (((-6)\/(-8))\/(126\/(-28)))\/((-16)\/34717152) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 350*w - 114*w = 4677 + 3211 - 100 for w.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1122 rounded to the nearest 10?\nAnswer: -1120","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -27*d. Let i(f) = -20*f**2. Determine o(i(n)).\nAnswer: 540*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -10325 (base 6) in base 15?\nAnswer: -64b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) be the first derivative of -o**2\/2 + o - 3. Suppose 5*p - 26 = t, -8*t = 2*p - 13*t + 8. Let w(i) = 2 + 3 + 1 - 5*i + 2*i**2. What is p*d(h) - w(h)?\nAnswer: -2*h**2 - h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1890064.\nAnswer: 2, 11, 10739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 5886400 and 650?\nAnswer: 650","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 5*m - 1087 = 0, -2*c - 5*m = 3*c - 5475. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + (5 + -4 - -4) - 6?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -7 - 121. Let d = f - -131. Solve 3*t = -d*z + 6, -2*z + t = 5*t - 4 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*u**5 - 111*u**4 + 1641*u**3 - 12117*u**2 + 44688*u - 65856.\nAnswer: 3*(u - 8)**2*(u - 7)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 315296 and 64?\nAnswer: 630592","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -55*f + 3 + 2 - 3 + 4. What is the tens digit of z(-2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3 + 6. Suppose s + y*s - 124 = -5*n, -82 = -3*s - n. Let j = s - 16. What is the units digit of j?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 909 is divided by 183.\nAnswer: 177","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -46\/71 and 13\/9.\nAnswer: 639","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -4*s**3 + 35*s**2 - 65*s + 3. What is y(6)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 6885067?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 + o**2 - 2)*(-2*o - o - 3*o) - 3*o**3 - 1 + 1 + (2*o - 2*o - 2*o**2)*(-o + 2*o + 0*o) to n*o + s*o**3 + p*o**2 + a and give s.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 107, 109, 113, 119, 127?\nAnswer: 137","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 2*w**2 + 3*w - 1. Let z(l) = 3*l**2 + 4*l - 2. Let h(q) = -4*c(q) + 3*z(q). What is h(-3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 7*q. Let c(m) = -m**3 + 7*m**2 + 6. Let b be c(7). Let u(p) = -7*p. Let t(i) = -8*i. Let n(y) = b*t(y) - 7*u(y). What is j(n(x))?\nAnswer: 7*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 - 27 = -k. Suppose -v = -224 - k. What are the prime factors of v?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y, 2 t, and 1 d when four letters picked without replacement from {d: 4, r: 3, t: 2, b: 4, y: 1}.\nAnswer: 4\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(-2 + (1*(sqrt(200)*6 + 2 + sqrt(200))**2 - (4*(sqrt(200) + 1)**2 + sqrt(200))*-1)).\nAnswer: 1110*sqrt(2) + 31818","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35 = -16*y + 157. Solve -7*k + y = -k for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -22 - -14 - (-20)\/2. Solve -h - p = -7, -b*p + 11 = -h + 3*p for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + ((2*(sqrt(90) + (sqrt(90) - 1*sqrt(90))))\/sqrt(2))**2.\nAnswer: 180","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -7, 1, -5455, -2 in increasing order.\nAnswer: -5455, -7, -2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -4*s. Let r(q) = 2*q - 339. What is r(d(y))?\nAnswer: -8*y - 339","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -321937 divided by -8701?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1360 and 2856?\nAnswer: 28560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) be the third derivative of k**4\/12 - 7*k**2 + 2. Let q(d) = -d. Let g = 8 + -12. Determine g*c(x) - 11*q(x).\nAnswer: 3*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 6 - 4. Let s(q) = -10*q + b - q**3 + 0*q + 15*q**2 + 0*q + 3. Let u be s(14). What is u rounded to the nearest 10?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 158, 215, 380, 707, 1250?\nAnswer: 2063","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*k*z**4 - 694*k*z**3 - 4*k*z**2 + 151*k - 1 wrt z.\nAnswer: 72*k*z - 4164*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = -0*v + v for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2\/(8\/12) + 447. Suppose 8*x - 300 = -2*a + 3*x, -n = -3*a - x. Suppose 2*j = 4*j + 2*m - a, 3*j - 4*m = 218. Is 13 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = u**3 - u**2 - 2*u + 12. Let q be m(0). What is the first derivative of -5*r**4 - r**4 + 9*r**4 - q wrt r?\nAnswer: 12*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 419 minutes before 9:53 AM?\nAnswer: 2:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2754884 and 1314831.\nAnswer: 57852564","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*g*o**3 + 4*g*o**2 - 2*g - 119*o**3 - 7*o + 114 wrt o?\nAnswer: 12*g*o + 8*g - 714*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) be the first derivative of g**4\/4 + 3*g**2\/2 + 2*g + 10. Let p(z) = -2*z**3 - 5*z - 4. Let u = -12 - -7. Give u*o(t) - 3*p(t).\nAnswer: t**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -312 divided by 78\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*o**2 - 3604815*o + 21629070.\nAnswer: -5*(o - 6)*(o + 720969)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -86 + 95 - (39 + -2 + 5 + (-23 - -18))\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c = 2*i, -c + 6 = -4*i + 5*i. Solve -4*l - i = -6 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5526 is divided by 41.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*i**2\/7 - 52936*i\/7 - 175138756\/7.\nAnswer: -4*(i + 6617)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 15457 plus -0.04?\nAnswer: 15456.96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*t + r + 15, 0*t - t + 5*r = -3 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16 + 798*g**3 + 777*g**3 - 1598*g**3.\nAnswer: -23*g**3 + 16","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-87)\/(-15))\/((-3)\/(-1335)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5 + 38. Suppose n + b + 10 = 0, 0*n + 5*n - 2*b + t = 0. What is the common denominator of ((-132)\/40)\/(n\/(-24)) and 50\/3?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -y**2 - 8*y - 3. Let n be c(-9). Let d(f) = -4*f - 9. Is d(n) a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) be the second derivative of -5*b**3\/6 - 8*b - 11. Let d(i) = -11*i. Determine -6*d(l) + 10*h(l).\nAnswer: 16*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -3 + 8 + 2 + -4. Suppose -h*u + 0 - 9 = -2*b, 5*b - u - 3 = 0. Factor 1\/2*s**3 + b*s**2 - 1\/2*s + 0.\nAnswer: s*(s - 1)*(s + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -b**2 + 4*b + 13. Let q be c(6). Let d be q*(0 - 0) - 1\/(-2). What is the second smallest value in -3, 2\/9, -1, d?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 209287271 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 = 4*k - 5. Let j(x) = -x**3 + 5*x**2 + 8*x + 2. Calculate the remainder when j(k) is divided by 9.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 102 + 73. Calculate the highest common factor of h and 25.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -654 + 663.74. Let o = n - 0.54. Let l = 9.200011 - o. Round l to 6 dps.\nAnswer: 0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -195 + -2558707?\nAnswer: -2558902","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 669 minutes after 7:43 PM?\nAnswer: 6:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/6? (a) 0.5 (b) -6 (c) -2 (d) 5 (e) -2\/79\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3311 - -5812. List the prime factors of u.\nAnswer: 41, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -23 + 23.1. Let a = -10 - -6. Let x = 16\/15 - 26\/15. What is the nearest to x in a, f, 4?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) be the third derivative of m**6\/160 + 23*m**5\/80 - 25*m**4\/16 - 336*m**2. Factor o(d).\nAnswer: 3*d*(d - 2)*(d + 25)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q + 4*s = -1, -3 - 14 = -5*q - 2*s. Let w be (-5)\/(-10)*q*2. Solve 0 = w*n + i + 1 - 7, n = 3*i + 14 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -u**2 - 2*u + 2. Let w be 4\/6 + (-70)\/15. Let n(a) = a**2 + 2*a - 2. Determine w*d(l) - 3*n(l).\nAnswer: l**2 + 2*l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 391923375?\nAnswer: 3, 5, 1045129","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 246623?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*t + 2 = -2*a, -5*a - 4*t = 60 - 49 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-14\/3))**(-1) assuming f is positive.\nAnswer: f**(14\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -2*m**2 - 176*m + 1466. Let s be i(-96). Which is smaller: s or -0.04?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -3*k**3 + k**2 - 2 - 3*k**2 + 4*k**2 - 2*k. Let a(d) = -4*d + 2. Let x be a(1). Let l(i) = i**3 - i**2 + i + 1. Calculate x*l(u) - r(u).\nAnswer: u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*c - 2*c + c in the form i + t*c and give t.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*t + 4*t - 3*t)*(-7*t + 141*t + 246*t + (3*t - 4*t - t)*(0 + 0 + 1) - 2*t - 2 + 2 + t + 0*t + t + 2*t + 0*t - 4*t).\nAnswer: -1128*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -2*u**3 + 11*u**2 + 10*u + 12. Let s be a(-8). Let k = s - 341. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 570920?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ii when two letters picked without replacement from {m: 6, e: 2, z: 10, i: 2}.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -3*n**3 - 154*n**2 - 461*n - 21091. Determine c(-51).\nAnswer: -181","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2059328 is divided by 66.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 306780187 a multiple of 2621?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 40408\/248 - 2\/(-31) is divided by 88.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 39 (b) -0.052 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 438 to the power of 1\/2, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4.7 - -5. Suppose -80 = 121*n - 201. What is the third biggest value in -4, p, 4\/9, n?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*o**3 - o**4 - 15*o**2 - o**4 + 7*o**2 to a*o**4 + t*o**3 + i + l*o + w*o**2 and give w.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*h = -14 + 50. Let v(k) be the third derivative of -7\/24*k**h + 0*k + 0 + k**2 - k**3. Differentiate v(f) with respect to f.\nAnswer: -7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + 0\/(-1 - 6).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.1 + -0.3. Let m be 21*13\/(-39) - -7*2 - 12. What is the closest to -2 in m, a, 6?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 581850\/139 - 4186. Let q = k + 449\/1112. Solve 3\/8*i - q*i**3 - 3\/4*i**2 + 3\/4 = 0 for i.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -784128 or 184?\nAnswer: -784128","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) be the third derivative of -557*u**8\/336 - 4*u**5\/3 + u**3\/2 - 266*u**2. What is the third derivative of l(h) wrt h?\nAnswer: -33420*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -w**3 + 2*w**2 - 11*w + 11. Suppose 18*j - 23*j + 5 = 0. Let y(c) = c**3 - c**2 + c + 1. Let p(i) = j*a(i) + 2*y(i). Is p(7) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6763290719 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -5, -7, -1, 19, 59, 125, 223?\n\"Answer: h**3 - 2*h**2 - 3*h - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - c + 3*q = 8, 5*q = -2*c + 24. Let t = c + 23. Solve 6*z - z = -t for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c**3\/9 - 586*c**2\/9 + 2272*c\/3 - 2248 = 0. Calculate c.\nAnswer: 6, 281","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 390 + -392 + 1 + 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6949022 to the nearest integer?\nAnswer: 2636","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -97*f = 6*f - 19*f - 1596 for f.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) be the second derivative of -5*k**3\/2 + 3*k - 8. Let s(n) = 14*n. Calculate s(q(b)).\nAnswer: -210*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -3, 2, 0.136, 0.1, -34, 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-9)\/m**(1\/2))\/((m**1*m)\/((m*m*((((((m\/(m\/m**(2\/23)))\/m)\/m)\/m)\/m)\/m)\/m*m)\/m*m)) assuming m is positive.\nAnswer: m**(-663\/46)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 104462962 to the power of 1\/7, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 64825*s**3 + 7*s**2 + 7*s - 37. Let x be b(-3). Round x to the nearest 100000.\nAnswer: -1800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -58290416 - -36200416. Round f to the nearest 1000000.\nAnswer: -22000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 133425.\nAnswer: 3, 5, 593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 9\/(-6)*8\/(-3). Suppose -5*i + 42 = -h*y, -4*y + 0*i = -4*i + 40. Let f = 0.04 - -0.06. Are f and y equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 10437*n - 10440*n - 18 for n.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -a**3 + 8*a**2 + 13. Suppose -2*h - 5*c - 4 + 46 = 0, -c + 66 = 4*h. What is the remainder when q(7) is divided by h?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -17055, -128515, -431049, -1020195, -1991491, -3440475, -5462685?\nAnswer: -8153659","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-22 - (-1512)\/68)*3\/(-4).\nAnswer: -3\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 66*g**2 + 150*g**2 + 137*g**2 - 18*g**2 to the form i*g + w*g**2 + u and give w.\nAnswer: 335","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 2*k**2 - 11. Let q(s) = 2*s**2 + 40484*s + 3. What is q(p(f))?\nAnswer: 8*f**4 + 80880*f**2 - 445079","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = l**3 + 21*l**2 - 23*l - 17. Let t be m(-22). Let q = t + 62. What is the units digit of q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 796690 > 796689?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 39793556.9 to the nearest 10000.\nAnswer: 39790000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 85449*k**4 + 241772 wrt k.\nAnswer: 341796*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00147481074 to three dps.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let 3456*o**5 + 90213*o**4 - 302529*o**3 + 16182*o**2 + 402324*o - 3144 = 0. Calculate o.\nAnswer: -262\/9, -1, 1\/128, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -z**3 + 5*z**2 - 4*z + 2. Determine s(4).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -p**2\/4 + 639*p\/4 + 805.\nAnswer: -(p - 644)*(p + 5)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -97 + -22. Let h = x + 9. Let t = 154 + h. Does 11 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1882)\/(-10) + (-14)\/70. Suppose 3*p - 7500 = -5*d, -d + 4*p = -1665 + b. Let c = d - 1008. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 363769?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -272 + 272.3. What is the third smallest value in 5, y, 0?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 + -45 + -992 + 1056\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -9*a**3 - 2*a**2 + 2*a + 3. Let g be l(-2). Let z = -61 + g. What is the lowest common multiple of 10 and z?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.2, 610.83, -1, 2, 1, -4\/7?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) be the second derivative of 0*d**3 - 3\/14*d**7 + 10*d + 0 + 0*d**2 - 1\/12*d**4 + 0*d**6 + 0*d**5. What is the third derivative of h(w) wrt w?\nAnswer: -540*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 7\/(-2 + (-2 - -3)). Let x(o) = 6 - 3 - 1 - 5*o + 4. Let c be x(h). What is c rounded to the nearest ten?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/((k*k\/k**(-5\/3)*k)\/k*k))\/k)**(-41) assuming k is positive.\nAnswer: k**(574\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-855)\/(-102))\/(-19)*(-31)\/93*(-12)\/(-3).\nAnswer: 10\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 59\/952 and -17\/196.\nAnswer: 6664","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -191482\/7 equal to -27356?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -230 - -357. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -20 - -15. Which is the third smallest value? (a) 3\/14 (b) 5 (c) s (d) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 11393, 11391, 11389, 11387, 11385?\nAnswer: 11383","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2184211655 to the nearest integer?\nAnswer: 1297","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2804420*b**2*q**3*s**3 - 10*b**2*q**2*s**2 + b**2*q*s**2 - 35*q**3*s - 4*q**3 + 13*q**2*s**2 + q*s wrt s?\nAnswer: -16826520*b**2*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-10)\/(-4)*(-96)\/(-80). Suppose 5 = 8*a - 3*a. Which is greater: a or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -2*m - 2*t + 9, 2*m = -t + 10. Suppose 0*o - m*o = 6. Let d = o + 4. Solve -3*s + s + d = 0 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 128, -5, 85 in ascending order.\nAnswer: -5, -2, 85, 128","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Determine s so that -4*s**5 - 143676*s**4 - 430988*s**3 + 143676*s**2 + 430992*s = 0.\nAnswer: -35916, -3, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 27574161569 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 4\/(2*6\/(-12))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -35*s - 5. Let v be i(-1). Suppose -8*b - 6 = -v. Suppose 3*x = b*z + 276, 0*z = -5*x + 2*z + 475. List the prime factors of x.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -1571, -3142, -4713, -6284, -7855, -9426?\n\"Answer: -1571*j","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 251253?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 544688154 divided by 30260453?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -11387.84 rounded to the nearest one thousand?\nAnswer: -11000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -3d555c - 53?\nAnswer: -3d55b0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2901, -6136, -9359, -12564, -15745, -18896?\nAnswer: -22011","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 9\/10 and 59\/10896.\nAnswer: 54480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) be the second derivative of b**3\/3 - 22*b. What is g(-2)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 382?\nAnswer: 2, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 37, 73, 105, 133?\n\"Answer: -2*a**2 + 42*a - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 271 - 343 = 0. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-84)\/294)\/((-3)\/(-63)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 95, -159, -847, -2185, -4389?\nAnswer: -7675","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 15*14\/(-525)*-2. Solve -12\/5*k**2 + 0*k**3 - 8\/5*k + f*k**4 + 0 = 0 for k.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -521301.9 less than 22499?\nAnswer: 543800.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -0.0495 (b) -3 (c) 5 (d) -2\/27 (e) 3 (f) 1.35\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h*h\/h**(17\/4))\/h)**(-29))**(1\/43) assuming h is positive.\nAnswer: h**(377\/172)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p = -5*n - 25 - 15, 4*n = -4*p + 40. Let s be 1*-1 + 38\/2. What is the greatest common divisor of s and p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n - g + 14 = g, -4*g + 12 = 0. Let f be n\/3*9\/(-6). Let q be ((-2)\/3)\/(f\/3). What is the biggest value in 0, q, -3?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*s + 2*s + 12 = 0. Suppose 189 = 5*m + 4*t - 248, 5*t = -s*m + 270. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 54689\/6510 + -1\/1302. Let v be 82\/(-8) - 3\/3. Let s = v + 55\/4. What is the common denominator of u and s?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 984 (base 12) in base 7?\nAnswer: 4033","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 29712849.\nAnswer: 3, 23, 29, 31, 479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (18*j - 4 - 16*j + 5)*(2*j**2 - 1 + 1).\nAnswer: 4*j**3 + 2*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -31502 (base 11) in base 15?\nAnswer: -d8c6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -13, 3, 16, 7, -6, -4.\nAnswer: -13, -6, -4, -3, 3, 7, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 430202 is divided by 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = d**2 - 12*d + 11. Let f be v(11). Solve 3*r + 2*r + 25 = f for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-3)\/(-12) - 3\/(-4). Let x = -2 - -6. Let i = h + x. Solve i*n = -22 + 7 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = -2*u, 1218*n - 1221*n = -u + 1 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3532 - -4725. What are the prime factors of c?\nAnswer: 1193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -2*i**2 + 2*i - 3. Let k = 448 + -3078\/7. Let z = k + -199\/35. What is the common denominator of z and w(5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 178 a factor of 31106\/4*1*(-7 - (-54)\/6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2\/9 (b) 2\/11 (c) -0.5 (d) -554\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-9)\/10*64\/3. Let d = p + 1814\/95. Which is greater: -1 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -47 - (-48 + (18 - -16))?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 995 and 498296.\nAnswer: 199","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 144786978 to the nearest integer?\nAnswer: 525","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -87, -71594 in increasing order.\nAnswer: -71594, -87, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 68*u. Let i be z(2). Suppose 23*c = -39*c - 403 + 1457. Calculate the greatest common divisor of i and c.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2586239312 to the power of 1\/2, to the nearest integer?\nAnswer: 50855","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (48\/32)\/((-2)\/4 - 0). Sort 62, l, -2, -5.\nAnswer: -5, l, -2, 62","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 31\/5 of a day?\nAnswer: 8928","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 520 - -1088. Let a be l\/(-42) - (-4)\/14. Let r = a - -112. What is the units digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 5354, 5323, 5270, 5195, 5098?\n\"Answer: -11*c**2 + 2*c + 5363","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 240 divided by 20?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 40754 is divided by 40702?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -222 (base 3) to base 2.\nAnswer: -11010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 32, 36, 40?\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3705329 to the nearest integer?\nAnswer: 155","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide -15752 by -358.\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((4 - 6) + (-6)\/(-8))*(38 - (-10560)\/(-275))?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 minus 368.536?\nAnswer: -368.936","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 2*y**2. Let h(z) = -22*z**2 + 7. Let i(k) = 15*k**2 - 5. Let a be 5*(-4 - -5)*1. Let w(o) = a*h(o) + 7*i(o). Determine t(w(u)).\nAnswer: 50*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -x**3 + 9*x**2 + 22*x - 3. Suppose -13*j - 33 = -2*j. Let g(h) = 1. Let t(v) = j*g(v) - p(v). Let t(d) = 0. What is d?\nAnswer: -2, 0, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.3075 + -0.252. What is t rounded to two dps?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/(d**(1\/4)*d)*d)\/(d\/(d\/d**(-4\/9)*d))*d\/(d*d\/d**(-24))*d*d\/d**(-2\/31) assuming d is positive.\nAnswer: d**(-23147\/1116)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (1696\/(-212))\/(56\/4774*11)?\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 385924054 divided by -29?\nAnswer: -13307726","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 5 + -2?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -183 (base 16) in base 6?\nAnswer: -1443","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/(1*(-1)\/((-4)\/2))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 10052?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 968501 is divided by 21041?\nAnswer: 615","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + z = -3*y + 573, -z + 5 = 0. What is the hundreds digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 510381.8 decades to centuries.\nAnswer: 51038.18","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 336827145 to the nearest integer?\nAnswer: 18353","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find y such that 3*y**3 - 6*y**2 - 12*y + 24 = 0.\nAnswer: -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(4\/3)*n*n)\/n)**44*n**(-5)\/n**(6\/13) assuming n is positive.\nAnswer: n**(3791\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rerrwwwewew. Give prob of picking 1 e, 1 w, and 1 r.\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 35 = 6*w. Let p = w - -5. Let x = p + -8. Is 2 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + -3*(sqrt(648) + -1)**2 + (-1*(sqrt(1152) - (-2 + sqrt(1152) + 0)))**2.\nAnswer: -1944 + 108*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2713835 divided by -3.\nAnswer: 2713835\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*g = -15 + 43. Suppose -14 = -4*n + z, -14 - 6 = -4*n + g*z. Suppose -5*f + n = -2*f. Which is greater: -4 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.15, -0.434, 2\/37 in ascending order.\nAnswer: -0.434, -0.15, 2\/37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -489 = a + q, 5*a + 6*q - 9*q = -2445. Calculate the common denominator of a\/780 + (-2)\/10 and -75\/4.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) be the first derivative of 31*m**2 + 17*m + 81. What is the remainder when r(3) is divided by 51?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -3*q**2 + 21*q - 4. Let y be k(6). Solve y*n = 19*n + 25 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 94.7 less than -4484647?\nAnswer: -4484741.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -20 + 24. Let i be 3 - (-6 - (-16)\/o). Suppose 2*a + c - 21 = 0, i*a + 3*c + c = 60. Calculate the least common multiple of a and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2*c*m**2 - 78*c + 3*m**2 + 23 wrt c?\nAnswer: -2*m**2 - 78","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(-2\/13)\/(m\/m**(-3))*m**(-4\/3)\/(m\/m**(1\/5)*m*m) assuming m is positive.\nAnswer: m**(-1616\/195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve m - 1 = -2*b - 13, -2*m - 4 = -b for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3432023*f + 1751962 with respect to f.\nAnswer: 3432023","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(-2\/43)*x)\/x)**(-2\/19)\/(((x*x*x**(-17\/5)*x)\/x)\/x**(-9\/5)) assuming x is positive.\nAnswer: x**(-1614\/4085)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1.439 + -1.839. Let w be 38\/(-3) - 6\/(-9). Which is the biggest value? (a) 1 (b) z (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -877 (base 10) to base 8\nAnswer: -1555","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -364*d**4 - 8732*d**3 + 284016*d**2 - 1604720*d + 17600 = 0. What is d?\nAnswer: -44, 1\/91, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1a95137 - 8?\nAnswer: 1a9512a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 453*f**2 - 13599*f + 165. Give g(30).\nAnswer: -105","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -2912*n + 449. Is o(-112) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 0 - 9 - 2 - j. Let b(x) = -2*x**2 - 32*x + 27. Let i be b(-17). What is n(i)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-730*t**3 + 923*t**3 + 1325*t**3)*(1 - 4 + 4).\nAnswer: 1518*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -178 - -150 - (-26 - -3)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1462 and 258?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 17*o - 15*o. Let f(j) be the third derivative of -j**5\/30 + j**4\/12 - j**3\/3 + 5791*j**2. Let t(c) = -6*c**2 + 6*c - 6. Give o*t(d) + 8*f(d).\nAnswer: 2*d**2 - 2*d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 3*y, 5*c - 5*y + 43 = 173. Suppose -c = 4*l + a, 4*a - 8 = 4*l + a. Let b(t) = -t**2 - 5*t + 8. Let q be b(-6). Sort l, 5, q.\nAnswer: l, q, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 9*j - 1. Let o(k) = 37*k - 4. Give 18*i(p) - 4*o(p).\nAnswer: 14*p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -11269 + 11277. Let r = -12 + 24. Calculate the greatest common divisor of z and r.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 77124 times -636?\nAnswer: -49050864","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + 4*g = 6*g - 6, 2*q - 5*g = -24. Find u such that -96\/5*u + 12\/5*u**q - 36\/5*u**2 + 3\/5*u**4 + 192\/5 = 0.\nAnswer: -4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -7.974 + -0.026. Let l = -1181 - -2313\/2. Let q = -24 - l. Which is smaller: k or q?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*m - 5*f - 2188, 2*m + 541 = 4*f + 1641. List the prime factors of m.\nAnswer: 2, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 2*n - 5)*(3*n + 4*n - 2*n)*(-215*n + 529*n - 257*n - 288*n).\nAnswer: 2310*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -c**2 - 7*c - 2. Let x be r(-6). Let g(a) = -a**2 - 1 + a**2 + 0 - 3*a + 3*a**2. Is g(x) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 503 minutes before 1:42 PM?\nAnswer: 5:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-3 - 75\/(-20))\/((-1)\/(-4)). Let v be (-1 + 3 + -3)*(-2 + p). Let b be (21 + -21)\/(v - 1). Solve 3*o - 3 = -b*o for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((5*sqrt(170)*2 + sqrt(170))*-3)\/(sqrt(60)\/(sqrt(6)*1) + (sqrt(160) - (sqrt(160) - 1*sqrt(160)))))**2.\nAnswer: 18513\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2 - (-1 - -2))*-1. Suppose -c*d + d = 0. Suppose 2*p + 201 - 521 = d. Round p to the nearest 100.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 436, 878, 1320?\nAnswer: 1762","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -5 + 9. Let i = -0.97 - 0.03. Let x = 7 - 6.7. What is the nearest to i in 4\/5, x, a?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-14)\/(-63) - 52\/(-9). Suppose 5*s - 1626 = -3*f, 4*f + 6 = -h. Let z = s + -200. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -60375 by 7421.\nAnswer: -60375\/7421","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4 + -3*sqrt(128) - 6*(1 + sqrt(128))) + -1 + 3 + sqrt(128)*2 + -5 + -4)**2.\nAnswer: 1008*sqrt(2) + 6353","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pvw when three letters picked without replacement from {w: 1, e: 2, p: 1, v: 1, z: 1, o: 1}?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 4708427218?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 393?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 710906723 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1996635?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let 138\/5*z + 1\/5*z**4 + 83\/5*z**2 + 18\/5*z**3 + 72\/5 = 0. What is z?\nAnswer: -12, -3, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -32\/11, 4, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.045 + -0.04504. What is z rounded to 4 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5309992229 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1010100110011 (base 2) to base 3.\nAnswer: -21110000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -12 + 12 - (-4 - -5)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -2994 - 64.1\nAnswer: -3058.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 7619, 30696, 69151, 122978, 192171?\n\"Answer: -s**3 + 7695*s**2 - s - 74","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-481*m + 1060*m - 515*m)*(4*m - m - m).\nAnswer: 128*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 273925 to the power of 1\/8, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 246 minutes after 12:26 AM?\nAnswer: 4:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2)\/10 + (-11)\/(-5). Suppose x = -z*x + 24. What is the remainder when 26 is divided by 4*1*28\/x?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 388 minutes after 6:41 AM?\nAnswer: 1:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2124014334211 - -2?\nAnswer: -2124014334204","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 6\/(-18) - (-383)\/60 and 107\/14?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (39\/195*8\/10)\/(2\/(50\/15))?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 627 + -626. Let m = -0.12 - 0.06. Let j = m - -0.28. What is the closest to i in -3, j, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/3 in 1\/2, -8, 1, 2, -11?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 41*k - 23*k + k**2 - 19*k - 5. Give b(4).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 5*q - 4*q + 0*q**2 + 4*q**2 - 3*q**2 + 3*q**3. Let j be k(-1). Suppose 4*i - 2*i = -2. Does i = j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + -3 - (-10 + 6 + 2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 23431, 104678, 240089, 429664, 673403?\n\"Answer: 27082*x**2 + x - 3652","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -144 by -72.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29 = y - 30 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15057 - -3.\nAnswer: 15060","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*f**4\/4 - 3*f**3\/4 - 15*f**2\/4 - 9*f\/4.\nAnswer: 3*f*(f - 3)*(f + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*h - 15*h**2 + 4*h**3 - h**4 + 1 - 2*h**3 + 0*h**4 + 0 - 3*h to the form o*h + r*h**3 + l*h**4 + v*h**2 + c and give l.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 + 5 + -3 + 1.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (w + 2 - 2)*(-6*w**2 + 0*w**2 + 3*w**2) + 2930*w**3 + 2990*w**3 - 5741*w**3.\nAnswer: 176*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 309.3968l?\nAnswer: 309396.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 76.195236828137+-2\nAnswer: 74.195236828137","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) be the second derivative of -3*b**3 + 0*b**2 + 26*b + 0 - 1\/4*b**4. Solve p(f) = 0 for f.\nAnswer: -6, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.47 - -0.03. Let d = -21.3 + 21. Let j = -0.147 - -0.147. Which is the closest to 0? (a) j (b) d (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 2*n - 4)*(69 - 9*n - 69) + (-5*n + 2*n + 5*n)*(2*n - 7*n + 3*n) + 3*n**2 - n**2 - 4*n**2.\nAnswer: -24*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2*(-18)\/(-60)*1\/(-3).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-8)\/48384*1076 + 1 + (-10)\/7 and -15\/272.\nAnswer: 7344","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000340283 rounded to five dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 18 - 19.7. Let a = 2.3 - c. Suppose 4 = -j - 1. Sort a, -1, j.\nAnswer: j, -1, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (1 + (-2 - -3))*-1. Let u(i) = 5*i + 8. Let n(w) = 14*w + 23. Let a(c) = 6*n(c) - 17*u(c). Let l be a(y). Solve 2*h = -2*h + l for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1522109?\nAnswer: 19, 80111","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 4*x = -3438, -o + 0*x - 4*x + 1713 = 0. List the prime factors of o.\nAnswer: 17, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 31 and 496?\nAnswer: 496","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -10, 5, -5 in increasing order.\nAnswer: -10, -5, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -9*s**2. Let q(l) be the third derivative of l**5\/30 - 18*l**2. Determine q(g(i)).\nAnswer: 162*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 316 - 56. Suppose n - 2*f = v, -3*n - 784 = -6*n + 2*f. Suppose n = 4*l + 2*d, -3*d + 1 = -2. Calculate the remainder when l is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 53712 is divided by 257.\nAnswer: 256","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*q - 315 = 23*q. Suppose q = 3*r + 5*d, d - 4 + 1 = 0. Solve g + 4 = -5*t + r, 0 = 4*g - 5*t + 2 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2637338031 to the nearest integer?\nAnswer: 1382","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = p**2 + 3*p + 20. Let z = 115 + -121. What is the remainder when 106 is divided by o(z)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine g so that g**2\/4 - 35*g\/2 + 901\/4 = 0.\nAnswer: 17, 53","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.14 and -65213.\nAnswer: 9129.82","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 3444017, 3443982, 3443947, 3443912, 3443877, 3443842?\n\"Answer: -35*a + 3444052","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + -1*((sqrt(243)*1*-1)\/sqrt(9))\/(3*-5*sqrt(45)\/sqrt(5)).\nAnswer: -sqrt(3)\/15 + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 154096.7 and -4.\nAnswer: -616386.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 599 minutes after 5:29 PM?\nAnswer: 3:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve o - 4 = 2*k - 1, 0 = 4*k + 4*o - 12 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 39890 to the nearest integer?\nAnswer: 200","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = l**2 + 2*l - 5. Let p be x(-5). What is the third derivative of -p + 3*z**3 - 11 + 21 - z**2 wrt z?\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*m + 4947 - 4975 = g, 2*g = -5*m + 65 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 9*y - 4. Let k(q) = -q. Give -c(p) - 6*k(p).\nAnswer: -3*p + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 6*m - 8*m + 3 - 3. Let d(i) = 2*i - 4*i + 0*i + 3*i. Determine d(l(q)).\nAnswer: -2*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -1, -2, -5 in descending order.\nAnswer: 0, -1, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -400, 19, -4267 in decreasing order.\nAnswer: 19, -400, -4267","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/(y*y\/y**(1\/4)*y))**39\/((y**(2\/13)\/y)\/(y**(1\/8)*y))*(y**(1\/3))**(-42)*((y\/(y**5\/y))\/y)\/y*y**3 assuming y is positive.\nAnswer: y**(-8557\/104)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dddxxxexxddxx. Give prob of picking 4 d.\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 22 - 4. Suppose v*p - 18 - 162 = 0. Let c = 40 - 20. Calculate the highest common factor of p and c.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.9? (a) 2\/7 (b) -0.3 (c) 0 (d) 405\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + 5 + sqrt(72) + (sqrt(72) - (sqrt(72) + (-1 + sqrt(72) - sqrt(72)))) + sqrt(72))**2.\nAnswer: 24*sqrt(2) + 289","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 209897 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*h - 4*h + 0*h)*(-17 - 4 - 3).\nAnswer: 168*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = j**3 + 5*j**2 + 2*j + 7. Let q = 15 + -20. Let a be p(q). What is the units digit of (2 - 0) + 46 + a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -3 (b) -23\/3 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 26\/4 + 5\/10. Suppose 2*b = 10, x - b - b + m = 0. What is the tens digit of (1 + (x - 5))*-31?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 77329.7t to milligrams.\nAnswer: 77329700000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + v = -0*v - 123, -49 = -z + 3*v. Suppose -z*x + 1924 = -36*x. What is the hundreds digit of x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 21\/451505 and -71\/730.\nAnswer: 903010","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 - (-1 + 15)) + (-230 - -230)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:58 PM and 3:05 PM?\nAnswer: 67","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide -422963 by 2.\nAnswer: -422963\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r, 1 p, and 1 z when three letters picked without replacement from {p: 1, z: 1, b: 5, r: 3}.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*x + 10*x + 20 = 2*y, -y - 5*x + 25 = 0. Suppose 10 + 0 = 5*h. Sort -1, 3, y, h in decreasing order.\nAnswer: 3, h, y, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (7 - -1) + -1 - 1 - 0?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2 - 1. Let i = -84.866 + -0.134. Let h = 90 + i. Which is the third smallest value? (a) z (b) h (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 1 + 0)*(-6 + 2 + 3)*(-5 + l + 5)*(226*l**4 - 135*l**4 + 432*l**4).\nAnswer: 1046*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:36 PM and 8:33 PM?\nAnswer: 237","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 32543?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -s**3 - s + 1. Let a(n) = -22*n**3 + 2*n**2 + 2*n + 3. Determine -a(k) - 2*r(k).\nAnswer: 24*k**3 - 2*k**2 - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(5\/2)\/g**21)\/((g**(-20)*g)\/g**(-4)) assuming g is positive.\nAnswer: g**(-7\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2 and 0.64105.\nAnswer: -1.2821","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y = -4*f + 36, -9*y = -11*y + 5*f - 27. Let l be (0 - y\/(-19))*10\/30. Which is the nearest to l? (a) 0 (b) 0.5 (c) 1\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/7 of a week in minutes?\nAnswer: 5760","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -w**3 - 11*w**2 - 11*w + 1. Let a be b(-10). Suppose j = 5 + a. Solve 4*i + 0*i = j for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 5b0 + b4?\nAnswer: 684","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -13397, -53061, -119169, -211721, -330717?\nAnswer: -476157","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -1, -26, -71, -136, -221, -326?\n\"Answer: -10*z**2 + 5*z + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + 3*z = 210. Calculate the remainder when 11 is divided by (-12)\/8*z\/(-9).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -3*d - 2. Let a be b(10). Let h = a + 36. Suppose -2*g**2 - 7 + g**3 + g**h + 0*g**2 + 7 = 0. What is g?\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u and 1 t when three letters picked without replacement from tuuwwwtu.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1832813905?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -6916 - -6921. Solve -5*q = 5*l + 20, 24 = k*l - 6*q - 11 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*((4 + sqrt(7) + 1 - (sqrt(77) - (-2*sqrt(77) - sqrt(77)))\/sqrt(11))**2 - sqrt(56)\/(sqrt(200)*1 + sqrt(200))).\nAnswer: -301*sqrt(7)\/2 + 440","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -74 = -16*i + 14*i. Let j = i + 33. What is the units digit of j?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 142 is divided by 74?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 16220 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 the fourth biggest value? (a) 2 (b) 0.04 (c) 12 (d) -6.14\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2103592?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2 - ((-6)\/(-3) + 2). Let s be 193\/(-2) + 1\/i. Let q = 137 + s. What is the highest common divisor of 5 and q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 36 - 22. Let h(p) = -2*p**3 + 17*p**2 - 24*p + 24. Let d be h(7). Suppose 0 = -5*a - 5, 5 = l - 5*a - d. Solve j + 4*f = i, -l*j + 1 = -j - f for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -147*k - 26895. Calculate j(-183).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 16*i + 930. Let n be k(-58). Let q(z) be the first derivative of 4\/5*z**3 + 6\/25*z**5 + 0*z - 1\/30*z**6 - 10 - 2\/5*z**n - 13\/20*z**4. Factor q(b).\nAnswer: -b*(b - 2)**2*(b - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 136 - -3?\nAnswer: 139","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 38593 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1057145, 2114299, 3171453, 4228607?\nAnswer: 5285761","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Let a(x) be the second derivative of x**4\/12 + 8*x**3\/3 + 31*x**2\/2 - 11*x. Let k be a(-16). What is the highest common factor of k and 155?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 18333?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -13.8 + 8.7. Sort n, -2, -1 in decreasing order.\nAnswer: -1, -2, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) be the third derivative of -o**4\/6 - o**3\/3 - 8*o**2. Give n(-2).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 5*r**2 + 10*r - 3*r**3 + 13*r - 23*r wrt r.\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor j**2\/3 + 71695334*j\/9 - 23898445\/9.\nAnswer: (j + 23898445)*(3*j - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve a - 5*v - 106 = -82, 8*v = 4*a - 36 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6757, -7123, -7489, -7855?\nAnswer: -8221","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = r**3 - 18*r**2 - 18*r + 2. Let g(l) = -l**3 + 1. Let m(h) = -2*g(h) + t(h). Let q(a) = -a**2 - a. Calculate -m(z) + 18*q(z).\nAnswer: -3*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 5*v + 25 = 0, 0*v = -d + 2*v - 10. Let p(o) be the second derivative of 0*o**2 + 0*o**3 + d - o + 1\/12*o**4. Let x(f) = 3*f. Calculate x(p(c)).\nAnswer: 3*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 6*x**3 + 5*x**2 - 5*x + 5. Let k(h) = -2*h - 10. Let a be k(-7). Is p(a) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5936580.\nAnswer: 2, 3, 5, 13, 43, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*d - 3*t + 22 = 0, 3074*d - 4*t = 3079*d - 26 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*g + 309 - 309.\nAnswer: -2*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 3, -3, -2422, 2, -4, 17 in decreasing order.\nAnswer: 17, 3, 2, -1, -3, -4, -2422","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t = -3*x + 6, -2*x - t + 3*t = -4. Suppose 64 = -x*c + 6*c. Calculate the remainder when 31 is divided by c.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -128, -432, -19 in descending order.\nAnswer: -19, -128, -432","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 + 2 + (1 - -5) + -11?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 3*d**2. Suppose -p = -6 + 4. Suppose 12 = -5*z + 11*z. Let m(y) = -3*y**z + y**2 + 0*y**p. Give o(m(n)).\nAnswer: 12*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 35676346?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-476)\/(-12))\/(-14 - 441\/(-27)).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*c + 10*c = 24280. Suppose -2*y - c = -0*y. Let t = y - -24229\/8. What is the common denominator of 5\/9 and t?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = h + 14. Let l be x(-10). Let b(i) = -i**2 - 2*i. Let k(r) = -3*r**2 - 10*r - 2. Let j(p) = l*b(p) - k(p). Determine j(3).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 179 a factor of 475961?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 44*y**3 + 608*y**2 + 460*y - 104.\nAnswer: 4*(y + 1)*(y + 13)*(11*y - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:16 AM and 10:27 AM?\nAnswer: 371","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from deddlell. Give prob of sequence dll.\nAnswer: 3\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 7194 divided by 33\nAnswer: 218","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -259*n**3 - 3*n**2 - n. What is m(-1)?\nAnswer: 257","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2273*b**5 + 233*b**3 - b**2 - 3*b + 342278 wrt b?\nAnswer: -136380*b**2 + 1398","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 33, 1, -3, -2886, -1 in decreasing order.\nAnswer: 33, 1, 0, -1, -3, -2886","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2111 + 2107. What is the closest to -115\/6 in 4, 0, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (15*(-4)\/8)\/(((-117369)\/(-810))\/161)?\nAnswer: -25\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = x - 1. Let k be t(3). Suppose -h + 0*h = -k. Suppose h*a = 4*a. Solve 3*d + d - 8 = a for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 155*b**4*y + b**4 - b**3*y + 1399*b**3 - 26*b**2 - 35300*b*y + 2*y + 1 wrt b.\nAnswer: 3720*b*y + 24*b - 6*y + 8394","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = h**2 + 3 - 3. Let o(l) = 1 - 3963*l + 5227*l - 1343*l. Calculate o(v(g)).\nAnswer: -79*g**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (6\/(-12))\/((-6)\/101940). Suppose 0 = 6*a - a - 4*u - f, 3*a - 5097 = 2*u. What is the units digit of a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 271 is divided by 119.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((4\/(-18))\/((-58)\/(-29)))\/(((-4)\/(-6))\/(-1))?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*d**5 - 630*d**4 + 2397*d**3 - 3414*d**2 + 2076*d - 456 = 0. Calculate d.\nAnswer: 2\/3, 1, 2, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 70*l - 30 = 64*l. Solve -l*g + 16 = -g for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(130) - 2*sqrt(130)*-1)\/(sqrt(490)*-6) + -1.\nAnswer: -1 - sqrt(13)\/14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (-6 + 2*t + 6)*(-2 + 3 - 6)*(-65 + 63 + 319)*(1 + 0 + 1)*(-3*t + 0*t + 0*t) in the form s + p*t + u*t**2 and give u.\nAnswer: 19020","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 14*j**2 - 3*j. Let b(n) = -3969*n. Determine b(u(d)).\nAnswer: -55566*d**2 + 11907*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nyyy when four letters picked without replacement from {n: 7, t: 1, y: 2}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -113886571 - 14.\nAnswer: -113886585","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 544*o**5 + 35268*o**4 - o**2 + 2*o + 291458 wrt o?\nAnswer: 32640*o**2 + 846432*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 14, 5, 231 in descending order.\nAnswer: 231, 14, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, -3, -13\/3, -7 in descending order.\nAnswer: 0.5, -3, -13\/3, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15476?\nAnswer: 2, 53, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -6 - -9. Let n(c) = 15 + c - v*c + c. What is the units digit of n(7)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 2*d**3 - 18*d**2 + 48*d - 369. Calculate r(9).\nAnswer: 63","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (((-9858)\/341)\/159)\/((30\/(-3333))\/(-5))\nAnswer: -101","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1 (b) -8 (c) -0.4 (d) -3 (e) -9714\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 516 divide 1400963220?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -3 - 253552?\nAnswer: -253555","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 5107980?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 365*k**2 - 7*k + 1. Let d be b(-12). Suppose 4*j - 2*j - 21058 = -n, -d = -5*j + 2*n. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -28*w - 5. Let n be m(-4). Let b = 286 - n. What is the tens digit of b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18662 is divided by 18?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 3.9, 660.1, -3\/7?\nAnswer: 3.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 12*j + 182. Let f be x(-15). Let h(p) = -11*p - 8. Let o be h(-1). Solve -14 = d + o*a, -5*d - f*a = -0*a + 5 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -23093.101+-12.488\nAnswer: -23105.589","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1361*x**2 + 203*x**3 + 123*x**2 - 99*x**3 - 103*x**3.\nAnswer: x**3 - 1238*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gke when three letters picked without replacement from {g: 1, k: 1, e: 1}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 51\/2396 and 62\/1797.\nAnswer: 7188","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 2436 times -0.037?\nAnswer: -90.132","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (3 + (-250)\/60)*10 - (-4)\/6?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -328\/7 at most as big as -47?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r = 1 + 68. Suppose -32*z + 384 = -8*z. Let j = z + r. What are the prime factors of j?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 14) to base 12.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + 3 + sqrt(68) + -1*sqrt(68))**2.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*i - i - 3*l - 1961, 2*i - 2*l + 794 = 0. Let s = 1349 + i. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*k**2 + k**2 - 5*k**2 - 6*k**2 + 6*k**2 + k**2.\nAnswer: 2*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Solve -61 = 40*x + 21*x for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -2424121022 (base 5) to base 16\nAnswer: -56da6c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 135 and 360?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*b - 4*w - 64 + 21, -3*w = 6*b + 39 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4615*n - 484995 = 10962*n + 68*n for n.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = x**2 + 7*x - 59. Let l be k(5). Solve 3*v + l = 2*v for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 306 - 323 = -5*r, -379 = -3*r - 4*w. Suppose -2*g = -5 - 9. Suppose -3*v = -r - g. What are the prime factors of v?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3409*x - 3406*x + 3 + 0 + x**3 in the form i*x**3 + u + h*x + w*x**2 and give u.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = 4*p - 12, -2*v + 3 = -5. Let x be (-40)\/18 + p\/9. Let t = 0.2 - 0.2. Which is the closest to -2\/9? (a) x (b) -0.2 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 59 - 31 = 0. Let x = 12 - 6. Let j be (-4)\/x + 300\/l. What is the highest common factor of j and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1 - -2) + -4 - 79514125\/(-5500). Let s = o - 14453. Find the common denominator of -37\/36 and s.\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 147332440.\nAnswer: 2, 5, 59, 163, 383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 63594748 is divided by 21198245.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(1\/4))**(1\/59) assuming z is positive.\nAnswer: z**(1\/236)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14 + -1 + 0 + (4 - 9).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -7*w - 9. Suppose 4*r - 12 = 0, 1 = 3*j + j - 5*r. Let q(n) = 3*n + 4. Let b(m) = j*c(m) + 9*q(m). Let k(a) = -4*a**2. Determine k(b(x)).\nAnswer: -4*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*((-2*sqrt(343))**2 + (-2*sqrt(63))**2).\nAnswer: -4872","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -19 by 839931.\nAnswer: -19\/839931","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Work out 5 * 0.64.\nAnswer: 3.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 198\/(-3024)*-8 - 2\/3.\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1597 + -1138. Suppose 0 = -2*d - j + n, 3*d - d + 5*j = 439. Suppose 0*g - 87 = -3*g. Calculate the highest common factor of d and g.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = o - 3. Suppose -48 = 4*a - o. Let u = a + 20. What is the remainder when 17 is divided by u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1504 (base 6) in base 4?\nAnswer: 12100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1577948297186.5 + 0.6.\nAnswer: -1577948297185.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let -v**3 + 870040*v**2 - 189242400400*v = 0. Calculate v.\nAnswer: 0, 435020","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 157*m**3 + m**2 + 3*m + 3. Calculate c(-1).\nAnswer: -156","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 182802.6t to kilograms.\nAnswer: 182802600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (-5*sqrt(22)\/sqrt(2))**2.\nAnswer: 275","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1 - 1. Let q(b) = b + 1. Let w be q(2). Find the second derivative of 0*m**w + 2*m + m**3 + i*m wrt m.\nAnswer: 6*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7 + -132 + 105 - 3\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3368797\/101 - 677830877\/17271. Let t = l - -49864\/9. Let s = -352 - t. Which is the nearest to 0.1? (a) -0.2 (b) s (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 23*w**3 - 155*w**2 + 87*w + 35. Let k(g) = -34*g**3 + 232*g**2 - 130*g - 52. Let x(j) = 8*b(j) + 5*k(j). Determine z so that x(z) = 0.\nAnswer: -2\/7, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + -4 + sqrt(832) + 0 + (sqrt(13) - (3 + sqrt(1573) - sqrt(1573)))**2)*2.\nAnswer: 4*sqrt(13) + 42","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*h**3 - 1158*h**2 - 45576*h.\nAnswer: 3*h*(h - 422)*(h + 36)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 - 32 = -29*i + 28*i - 4*g, -5*i = -2*g for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.8079636 to 0 dps.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of -5 - (-4 + 3) - -139.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dc when two letters picked without replacement from {v: 2, d: 5, q: 8, c: 1}.\nAnswer: 1\/48","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1 + 9. Let u be ((-3)\/(-6))\/(1\/k). Suppose 170 = 3*a - u. Is a a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -2 + 10*w**3 - 9*w**3 + w + w**2 - 2*w**2. Let g be u(2). Determine i, given that i**3 - 8*i - 2*i**3 - 4 - i**2 - g*i**2 = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 7*l + 10*w + 162913 = 0, -5*l - 5*w + 271565 = 0. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -g**3 - 65*g**2 + 188*g - 1178. What is k(-68)?\nAnswer: -90","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 268600 divided by -1700?\nAnswer: -158","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000035950475 to seven dps.\nAnswer: -0.000036","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(-2)*y\/(y**(-6\/5)\/y*y)*y)\/(y**(-8)\/y*y**4))**(-17) assuming y is positive.\nAnswer: y**(-527\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 411011401 to the power of 1\/3, to the nearest integer?\nAnswer: 744","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 36807126 is divided by 46?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 25452.927 - 25439. What is d rounded to one decimal place?\nAnswer: 13.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2)\/7 - 2\/(-7). Suppose 1 = -t + 3*n + 7, 3*n - 30 = -5*t. Solve s*h = -2*h - t for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, 22, 3 in ascending order.\nAnswer: 3, 7, 22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/16 at least -0.068?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -r**2 - 27*r - 90. Let g be x(-23). Suppose -3*t + g*t = -3*c + 916, 0 = -t - 1. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -6383663 less than -6383655?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.5 + -1.5. Sort -4\/5, -2\/9, b.\nAnswer: b, -4\/5, -2\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -224592, -224609, -224626, -224643?\nAnswer: -224660","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (0 - -1) + (-6 - -4). Let y(l) = l**3 - l**2 - l. Let p(q) = q**2. Calculate k*y(g) - p(g).\nAnswer: -g**3 + g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2741?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 267 is divided by 30.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 3 = -3. Suppose -k*g = g - 192. Let z = g - 29. What is the units digit of z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*w + w - 4*w**2 - 3*w**3 + 6*w**2 + 2*w to the form n*w**2 + k*w + h + r*w**3 and give n.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -4 + -6f?\nAnswer: -73","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2534\/6*(-12)\/(-4). Calculate the greatest common divisor of c and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -22*u - 1454. Calculate z(-24).\nAnswer: -926","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 5211.217 millimeters in nanometers?\nAnswer: 5211217000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.21 * 1.2.\nAnswer: 0.252","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:20 PM and 6:04 AM?\nAnswer: 404","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 + 1\/(3\/483) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*r + 2*r - 76. Let i be (-26)\/91*7*114\/9*-12. What is the highest common factor of r and i?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.14? (a) -2\/197 (b) -3 (c) 2\/7 (d) 6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 86*s**5 + 903*s**4 - 903*s**4 - s**4 + 3*s**3 - 3*s**5 - s**2 - s**4 + s**4 + 0*s**3 + 0*s**3 - s**5 + (-2*s**3 - 5*s**3 + 5*s**3)*(2*s**2 - 2*s + 2*s).\nAnswer: 78*s**5 - s**4 + 3*s**3 - s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 360133*r**3 + 8*r**2 - 16*r - 766?\nAnswer: 2160798","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-35)\/315 + (-107737)\/(-2331) + -46.\nAnswer: 4\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3860 or 3861?\nAnswer: 3860","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express -22541*r - 107149684 + 107149684 - 14899*r as u*r + j and give u.\nAnswer: -37440","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -111 + 156 + (-17 - 0).\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -2*d**3 - d**2 + 3*d - 1. Determine m(-2).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 21 - 21.2. Let x = -0.06 + 0.16. Let s = 223 - 226. Which is the third biggest value? (a) j (b) x (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) be the first derivative of -49\/3*q**6 - 40*q**2 + 8*q - 235\/2*q**4 - 2 + 290\/3*q**3 + 70*q**5. Let x(g) = 0. Calculate g.\nAnswer: 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 270 and 11670?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -72*r - c = -55*r - 18*r + 2, -548*r + 3*c + 2186 = 0 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3 - -5. Suppose i - 36 = -h*i. What is the tens digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1\/(((-14)\/24)\/(-7)). Suppose y = -3*t + r + 36, 2*t - 12 = 2*r. Suppose 13 = 4*h + 2*c - 5*c, 3*h + 4*c + t = 0. Put h, 5, 3 in decreasing order.\nAnswer: 5, 3, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ttt. What is prob of picking 2 t?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -20 not equal to -120792\/6217?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -19 + 15. Let y = 3.07 + -0.07. Which is the third biggest value? (a) y (b) -0.3 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -o**3 + 10*o**2 + 11*o + 1. Calculate a(11).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 9047 from -584.07804.\nAnswer: -9631.07804","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 3 - 3 = 0. Suppose -g + 23 = 4*k - 91, -4*k + 5*g = -126. Let x = k - 29. Solve 2*j + 8 = 2*a - 0*a, -a + 3*j + w = x for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1781789 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6706013.\nAnswer: 31, 137, 1579","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 8\/(-3*2\/(-6)). Let x be b\/(-40) + (1 - 142\/(-10)). Suppose 2*o = x - 5. Solve 2*k + 2 = -5*p - 2, k - o = p for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(165)\/(sqrt(3) - sqrt(3)*2))\/sqrt(11).\nAnswer: -sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 196*v - 75 - 839 = 262. Solve 2*x + 14 = -4*g, 24 - 67 = -v*x + 5*g for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33 a factor of 163449?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -18, 10, 21 in decreasing order.\nAnswer: 21, 10, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m = 4, 5*f = 4*m - 5306 + 19405. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (20\/(-105))\/((-11)\/(-297)*-12)?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = -0*i. Let r be 4*(1 - (-1)\/(-4)). Let h be 7 + (0\/(-7) - 2). Sort i, h, r in descending order.\nAnswer: h, r, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yyfyffyyffyyfyfffy. What is prob of picking 1 y and 1 f?\nAnswer: 9\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**(-8)*(z\/(z*z**(-8)*z)*z)\/z*z*z\/(z\/(z**(-5)*z))*z*z**0\/z assuming z is positive.\nAnswer: z**(-4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in 18, 1, 2\/141, -0.4, 78?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -17a - -191a2?\nAnswer: 19023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 20*a - 200 = -22*a, 4*t = -a + 397. Suppose -4*l = 24 - 156. Calculate the greatest common factor of l and t.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 26 (b) -3\/8 (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1 + (-1 - 1))\/(-3 - -2). Suppose -20 - h = -q - 2*o, 2*o = -4*q + 92. Calculate the remainder when 12\/42 + (-467)\/(-7) is divided by q.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 43 (base 15) to base 5\nAnswer: 223","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1 and 16?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 10 + -2. Let r be (-6)\/(-4) - 2\/(-4). What is the highest common divisor of a and r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5\/(-30) - (1 + -10 + 49392\/4320)\nAnswer: -13\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 3*20\/(-12)*(-4)\/(-5)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine a so that 22*a**2\/3 + 268*a\/3 + 16 = 0.\nAnswer: -12, -2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*((sqrt(5)*-4 - sqrt(5)) + 2))**2.\nAnswer: -320*sqrt(5) + 2064","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 4*n - 3. Let b be o(2). Let z be (6\/(-10))\/((-4)\/b). Put 0.4, z, 3 in ascending order.\nAnswer: 0.4, z, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*-1*sqrt(325))**2 - (sqrt(1573) + -1 + sqrt(117)\/(1*sqrt(9))).\nAnswer: -12*sqrt(13) + 11701","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c when two letters picked without replacement from {i: 17, c: 2}?\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 5) in base 16?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (b - b + b)*(113*b + 63*b + 9*b) - 3*b**2 - 2*b**2 + 3*b**2 as o*b + w*b**2 + u and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 5971 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 254 minutes before 3:51 AM?\nAnswer: 11:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 103 + -71. Suppose -q = 3*n - 16, n - 6*q - i = -q. Differentiate -5*u - 4*u + 7*u - n with respect to u.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 + 11 + -8 + 9.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-33)\/(-9) + 20\/(-12) + 3073.\nAnswer: 3, 5, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 637 + -257. What are the prime factors of i?\nAnswer: 2, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -20da (base 15) in base 11?\nAnswer: -5253","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(38)\/(sqrt(18) + sqrt(2)) - sqrt(19) - (3 + sqrt(19) + 2).\nAnswer: -7*sqrt(19)\/4 - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 - 371635*z + 4.\nAnswer: -371635*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 31.10713 - 30.991. What is o rounded to 1 dp?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -108*i + 38*i = -95200. What is the remainder when i is divided by 31?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3.8 - -5.7. Let z = v - 1.90033. Round z to four dps.\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = a**2 - 16*a + 65. Let r be u(7). Solve 13 = -r*o + 11 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.1 + 37810735.\nAnswer: 37810734.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 32, 293, 1000, 2375, 4640, 8017, 12728, 18995?\n\"Answer: 37*d**3 + d**2 - d - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 8047031659 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -77*l + 1546512 = 48*l + 178*l. Is 22 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/(g\/(g\/(g*g**(3\/11))))*g)**10*(g*g**23\/g)**(-24))**(-44) assuming g is positive.\nAnswer: g**23968","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-x**2 + 0*x**2 - x**2)*(3*x - x + 3*x**2 - 2*x**2).\nAnswer: -2*x**4 - 4*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 37 + -34. Suppose -g*x = 2*x - 15. Solve x*p = -5*b - 5, -2*b + 11 = -4*p + 39 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.03? (a) 0 (b) 2 (c) -17 (d) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = y - 2*y. Let n(d) = -d**3 - 3*d**2 - 2*d. Let t be n(-2). Let g = t + y. What is the units digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -39\/38 and 13\/6.\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 16*w + 156. Let t(f) = f**2 + 4*f - 140. Let a be t(-14). Let k be l(a). Calculate the highest common divisor of k and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (34 + 26 - 2)*(-g**3 + 2*g**3 - 2*g**3).\nAnswer: -58*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -41*m - 38*m + 101*m.\nAnswer: 22*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 165050?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9 + 355*c + 5 - 14 to the form q + b*c and give b.\nAnswer: 355","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -24447, -161, 3.1 in increasing order.\nAnswer: -24447, -161, 3.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a = 4*t - 2*t + 1239, -5*a = t - 1248. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -2 (b) -4 (c) 3807.7 (d) -5 (e) 1\/4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(500) + -2))**2 - (-1 + 5*(sqrt(5) + (sqrt(45)\/sqrt(9))**2)).\nAnswer: -1005*sqrt(5) + 12576","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 680775*r**2 - 4992*r**3 - 680775*r**2 + 3*r**3 - 3*r**3 - r**3 + (-1 + r + 1)*(3*r**2 - 3*r**2 - 2*r**2) to z*r + m*r**2 + v + f*r**3 and give f.\nAnswer: -4995","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -4*r**2 + 3*r - 3. Let d be w(2). Let p = -9 - d. Suppose 3*y - y = p. Which is the second smallest value? (a) y (b) -3\/8 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 47779379, 47779386, 47779397, 47779412, 47779431, 47779454?\nAnswer: 47779481","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 greater than 12\/10571?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -40 - -40. Let m be h - (12 + 4)\/(-1). Let v be (-8)\/(-20) - m\/(-10). Let a(s) = s - 4. What is a(v)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (22 + 23 - 2)*(0*o**4 - 9*o**4 - 12*o**4) to the form r*o**4 + q*o**2 + x*o + g*o**3 + p and give r.\nAnswer: -903","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 611586 and 2001654.\nAnswer: 1098","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = 3*a - 24, -5*a = -0 + 5. What is the remainder when 77 is divided by c?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t + 4 = t. Suppose -7*h = -3*h + 2*k - 12, -4*k = 4*h - 8. Solve 0 = t*v - h + 20 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (2\/16)\/((14\/(-4))\/7). What is the closest to 1 in -1\/8, g, 3\/2?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - y = y, -4*b - 5*y = -33. Suppose 0 = -b*n + 1 + 3. Suppose -n*v - 318 = -4*v. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -h + 67. Let s be b(13). Suppose -s = 4*x - 1242. What is the greatest common factor of x and 27?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18928 = -14*c - 147*c - 2020*c - 44321 for c.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -3*l**4 - 17*l**3 - 9*l**2 + 31015 wrt l.\nAnswer: -12*l**3 - 51*l**2 - 18*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -26, -29, -32, -35?\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 221, 224, 227, 230, 233, 236?\n\"Answer: 3*v + 218","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/n**(-17))**49\/(((n\/(n*n**(-20)))\/n)\/((n\/((n\/(n\/(n\/(n*n**(3\/34))*n))*n)\/n))\/n)) assuming n is positive.\nAnswer: n**(29311\/34)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 + 0 + 0)*(9 + 18 - 14 - j)*(5 + 3 - 3) to the form f*j + y and give y.\nAnswer: 130","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -q**2 + 3*q - 6. Let i = 107 - 244. Let z = -133 - i. Give c(z).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5 - 35*n + 13 + 4*n**3 - 9 + 2*n**3 - 1 + 1 + (0 + 3 - 4)*(-3*n**3 + 3*n**3 + n**3) to y*n**3 + p*n + f*n**2 + a and give p.\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve v - 1012*m = -1011*m + 5, 2 = 4*v - m for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 16460 and 4240.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2219253 to the nearest integer?\nAnswer: 1490","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-3)\/(-1) + 31\/(-10). Let m = -175 + 941\/4. Let g = -60 + m. Which is the third smallest value? (a) v (b) 3 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 5*l - 2. Let a(h) = -3*h - 2. Let o(z) = -a(z) + g(z). Suppose 4*p = 2*m, m - 3*p - 1 + 2 = 0. Let t(f) = m*f - 3 + 3. Give t(o(j)).\nAnswer: 16*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 230 a factor of 79130309?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 2 x when three letters picked without replacement from {g: 12, x: 2, y: 2, r: 4}.\nAnswer: 1\/570","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.2*12.692.\nAnswer: -2.5384","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 0.9*0.05\nAnswer: 0.045","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -14032.16202 + 14032. Which is smaller: p or 1?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 101 + a**2 - a - 98 + 3*a. What is o(-3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 66705?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j = m - 6*m, 0 = j - 2*m. Let t(d) = d**2 + d. Let p be t(0). Solve 4*c + j*c = p for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9856.863 milligrams to grams.\nAnswer: 9.856863","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 7367 + -6355. Which is smaller: -1\/2 or u?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of (-2)\/(-4)*(-14 - -48)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3771047 is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor p**3 + 18*p**2.\nAnswer: p**2*(p + 18)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1222 (base 3) to base 9.\nAnswer: -58","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 6*(32\/6 - 2). Let w be 34\/60 - 8\/b. What is the third smallest value in -1, 0.3, w?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = t**3 + 5*t**2 - 8*t + 5. Let q be w(-6). Let x = -17 + q. Suppose 169*k - 167*k = 6. Which is the nearest to x? (a) -2 (b) 1 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16 - (-1 - 2 - (35 - 42)).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 3*s - 138 = -2*s, 3*s + 12 = 0. Suppose -5*i + n = -18. What are the prime factors of i?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 11 = i, 28*i + 28 = 32*i. Let x = -2\/433 - -880\/3031. Which is the nearest to x? (a) 1 (b) p (c) -0.06\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1705 is divided by 1642.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 38, 74, 110, 146, 182, 218?\nAnswer: 254","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12167 is divided by 2432.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 5 + 3 = 4*d, m - 5*d - 11 = 0. Let b be (-6)\/(-54)*m\/4. What is the nearest to -0.1 in -3, 5, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -46*m**3 + 0*m + 70*m**3 - m + 2*m**2 + (-4*m + 4*m - 2*m)*(-1 + 1 - 2*m**2).\nAnswer: 28*m**3 + 2*m**2 - m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-666)\/12*4\/(-6). Let w = t - 112\/3. Suppose 0*n - 5 = -5*n. Which is smaller: w or n?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (13\/(-2))\/((-45)\/11790)?\nAnswer: 13, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -655 + 649. What is the third biggest value in -9, -1\/5, f, 2?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/65*-2)\/(51\/(-85))?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -17*s*u**3*y + 2*s*u**3 - 5*s*u**2*y + 6*s*y + 10*u**3*y + u**3 - 4*u**2 + 2*y wrt u.\nAnswer: -102*s*y + 12*s + 60*y + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 43479132 and 4182?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*a**4\/9 + 180*a**3 + 2738*a**2\/3 - 52232*a\/9 + 6520 = 0. Calculate a.\nAnswer: -9, 2, 815","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 204865?\nAnswer: 5, 40973","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (j - j + 3*j)*(60*j**4 - 1753*j**3 + 1753*j**3).\nAnswer: 180*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eeeseddse. Give prob of sequence ese.\nAnswer: 5\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 128420294993 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -776, -1551, -2326, -3101?\nAnswer: -3876","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -598 - -615. What is the remainder when 117 is divided by d?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.1 (b) 14 (c) 0.5 (d) 0 (e) -13 (f) 2\/59\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -152402, -168416, -184442, -200486, -216554, -232652?\nAnswer: -248786","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - (8 + -3 - (-1 + 10))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*y**2 - 2 - 104*y**2 + 2.\nAnswer: -107*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/(-6))\/((3\/(-18))\/(-1))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 4 - 5*w - 4 - w**3 + 3 - 6*w**2. Let x be r(-5). Let k = x - -5. Solve 0 = -4*l + k*l + 8 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) be the first derivative of 3*o**5\/5 + 3*o**4\/2 - o**3 - 3*o**2 - 10. Factor i(r).\nAnswer: 3*r*(r - 1)*(r + 1)*(r + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 183834063.\nAnswer: 3, 7, 19, 51193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 3*b = 5288, 259*b - 260*b = 0. What is the thousands digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 12 - -46. Let x = -84 + a. Let l = x - -27.7. Round l to the nearest integer.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1229875 divided by 5.\nAnswer: 245975","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -0.47 - -359.44461\nAnswer: 358.97461","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 469*g + 0.\nAnswer: 469*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 42, 2, -1 in ascending order.\nAnswer: -1, 2, 42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is ((1460\/1168)\/(5\/3))\/(2\/(-64))?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(450)*-1)\/(6*sqrt(8)\/sqrt(4)))\/(-4*4*sqrt(147)*2).\nAnswer: 5*sqrt(3)\/1344","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -42791*j - 1026985. What is r(-24)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 359866?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 23252611 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-4)\/((-12)\/69) + 2. Suppose 5*q = -5*d - 15, 2*q + 4*d - 9 = -u. Let j = 2 - q. Are j and 5\/7 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 3\/884 and 0.049 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 26724603 and 51?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 204 minutes before 12:38 AM?\nAnswer: 9:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 71*l - 488 + 985 = 0 for l.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 15 (base 6) in base 3?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 331673080?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 w when three letters picked without replacement from {q: 11, w: 9}.\nAnswer: 7\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -2 - -10?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.0608183 * -1331.\nAnswer: -80.9491573","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -4 + 3*s - 16*s**2 + 4. Let b(v) = 18665983*v - 18665983*v - v**2. Determine b(o(q)).\nAnswer: -256*q**4 + 96*q**3 - 9*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is h in -h**2 - 12*h - 27 = 0?\nAnswer: -9, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 121 and 4813?\nAnswer: 582373","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (2 - 1)*0\/(-1). Let h be s\/(1 + 1\/1). Let l be (h - 4)*(-1)\/2. Solve -l*d + 1 = -3*d for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = r**2. Let t(a) = -6*a**2. Let w(z) = -5*s(z) - t(z). Let g(j) = 3*j**2 - 33. What is w(g(p))?\nAnswer: 9*p**4 - 198*p**2 + 1089","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = f - 7. Let y(a) = 2*a - 10. Let g(h) = -7*n(h) + 5*y(h). Let w be g(5). Let t = 18 - w. What is the units digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) be the third derivative of -u**4\/24 - 17*u**3\/6 - 2*u**2. Let b be w(-10). Let k = b + 12. Let i(r) = r**3 - 5*r**2 + 7. Determine i(k).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -2*l**2. Let t(f) = -47*f + 2. What is t(b(g))?\nAnswer: 94*g**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 19288*u - 7519?\nAnswer: 19288","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in seventeen halves of a litre?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 12 and 232.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1987010483.\nAnswer: 26833, 74051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*c + 2 = -6*c for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 42591005?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eooo when four letters picked without replacement from aaoaaaaeaoaaaaao.\nAnswer: 1\/7280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -33375, -66744, -100109, -133470?\n\"Answer: 2*o**2 - 33375*o - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 125 a factor of 6076957?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 468 and 564330.\nAnswer: 3385980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 48*l**3 + l**2 - 4*l + 4. Calculate c(1).\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a minute in milliseconds?\nAnswer: 75000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -43 + 41. Let z = 0.5 + -0.2. Let x = 0 + z. What is the nearest to m in -4, 1, x?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 2, 703827 in descending order.\nAnswer: 703827, 4, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(-2)\/y*y*y*y**8*y*(y\/((y*y**(1\/6))\/y*y))\/y**(-1\/5) assuming y is positive.\nAnswer: y**(241\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -8 + 6 + 1*6. Let y(j) = j**3 + 4*j**2 - j + 3. Is y(i) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2\/3 (b) -2.4 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -2*t**2 + 51*t. Let d be b(11). Let u = d + -285. Calculate the remainder when u is divided by (-5)\/(25\/(-2))*45.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 655 minutes after 2:02 PM?\nAnswer: 12:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 + 6 = -11*w. Let n(g) = g**2 - 9. Give n(w).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 61\/3 of a year?\nAnswer: 244","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 970 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 r(j) = -j**3 + 443*j**2 + 620*j - 78169. What is r(444)?\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -128, 1, 48476?\nAnswer: -128","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -1 + 12 + (1 - (8 - -3)) + -23\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-10)\/(-15)*3 + -2. Suppose o = -2*m - 0*m + 12. Calculate the smallest common multiple of 8 and m.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -2\/111, 0, -0.5.\nAnswer: -0.5, -2\/111, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 409, 3171, 10675, 25291, 49389, 85339?\n\"Answer: 395*n**3 + n**2 - 6*n + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 3 - 3 + 11*k**2. Let d(f) be the third derivative of 2*f**2 + 24*f + 1\/8*f**4 + 0 + 0*f**3. Give d(r(s)).\nAnswer: 33*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.1695 and 125204.\nAnswer: -21222.078","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6271*l**2 - 3*l**3 - 6271*l**2.\nAnswer: -3*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2.6? (a) -1\/2 (b) -5 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (12 + -11)*(-6)\/4*-2. Suppose -t + 3*t = 4*u + 2368, b*t - u - 3552 = 0. Is 10 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 20861.9051 to the nearest 100.\nAnswer: 20900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (5 + (-2*2*sqrt(44) + sqrt(528)\/(-1*sqrt(12)))\/(sqrt(20)\/(-3*sqrt(320))))**2.\nAnswer: 1200*sqrt(11) + 158421","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 10917794766 - 0.4?\nAnswer: 10917794765.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3092089 - 1991111 = -353*q. Is q a multiple of 90?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*m**5 - 1450*m**4 + 864435*m**3 + 264421100*m**2 - 531429680*m + 266145600 = 0. Calculate m.\nAnswer: -356, 1, 420","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -32775*l**2 - 3*l - 7*l + 2*l.\nAnswer: -32775*l**2 - 8*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = f**3 - 6*f + 17539. Is o(0) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y + y - 16 = 0. Let x be y\/20 - 7\/(-15). Let k = 4 + -8. What is the nearest to x in 0, -3, k?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1280659410?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5597\/3958 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 149153, 149162, 149175, 149192?\n\"Answer: 2*a**2 + 3*a + 149148","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.05710142275 to three decimal places.\nAnswer: -0.057","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v = 4*z - 27775, -v - 1 + 0 = 0. Suppose 6937 = 2*b + 3*b - 3*o, 5*o = 5*b - z. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7333844*x - 3666940*x - 3667100*x.\nAnswer: -196*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2387*p - 3261*p**2 - 2532*p - 3*p**3 - 1591*p = 0 for p.\nAnswer: -1085, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 44\/5 of a milligram in micrograms?\nAnswer: 8800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 76608661 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 5\/2, 4788, 0.3, 0.2, 3, -0.3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28 = 5*n + 148. Does 18 divide (-861)\/n - 3\/(-24)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 1463?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -x**2 + 8*x - 5. Let b be p(7). Let j = 0.56 - 0.16. What is the biggest value in b, j, 1?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -c**2 - 4*c + 19. What is d(-3)?\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find l such that -4*l**4 - 361572*l**3 + 1446336*l**2 - 1446352*l = 0.\nAnswer: -90397, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -23514120 divided by 4410?\nAnswer: -5332","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 c when three letters picked without replacement from jjjjcjjcjjcjjc?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.024? (a) 2\/7 (b) -559\/2 (c) -1\/6 (d) 2\/13 (e) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0017546748 rounded to 5 dps?\nAnswer: 0.00175","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (7*n**2 - 4*n**2 + 5*n**2)*(-3 - 2 + 6)*(2 + 0 + 1) to the form m*n + t*n**2 + f and give t.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -31 - 9. Let y = -13 - o. Does 27 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 134708.52 nanoseconds in minutes?\nAnswer: 0.000002245142","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1 - -14106152?\nAnswer: 14106153","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 1092*j**2 - 169*j. Let p(z) = -39*z**2 + 6*z. Let v = 8978 - 8809. What is v*p(g) + 6*k(g)?\nAnswer: -39*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 129 is divided by 36?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -709*x + 132525. What is r(187)?\nAnswer: -58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 366076960?\nAnswer: 2, 5, 107, 21383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -28 or -30?\nAnswer: -28","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-104)\/884)\/(2 - (-2)\/(-2))?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -12, 1, -1, -4, -563 in increasing order.\nAnswer: -563, -12, -4, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 16, 34, 56, 82, 112, 146, 184?\nAnswer: 226","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3857*v**2 + 12*v**3 - 3790*v**2 + 7647*v**2.\nAnswer: 12*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + -2 + 3 + (2*sqrt(252) - sqrt(252)))**2.\nAnswer: 60*sqrt(7) + 277","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 145469 to the power of 1\/4, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*g**2 + 0*g**2 + 2*g**2 + (-5*g + 4*g + 3*g)*(4*g + 3*g - 5*g) + 3*g**2 - 5*g**2 + 4*g**2 + (-13*g - 24*g + 19*g)*(16*g - 3*g + 4*g).\nAnswer: -301*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 28 and 574?\nAnswer: 1148","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 123711 is divided by 61690?\nAnswer: 331","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 7 - 1)*(-4*b + 3*b - 11*b)*(-5 - 2 + 3)*(1 + 3 - 3)*(-5*b - 6*b + b).\nAnswer: -2400*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -34*p**2*u**3*y - p**2*u**3 + 74*p**2*u**2*y + p**2*y - 3*p*u**3*y - 2*p - 2*y wrt u?\nAnswer: -204*p**2*y - 6*p**2 - 18*p*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -4379 at least -4376?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 104071 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 2 o when three letters picked without replacement from {f: 3, o: 3, j: 1, y: 3, d: 3, s: 1}.\nAnswer: 3\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 15153 - 753. Let c(l) = -l**3 + 3*l**2 + l - 1. Let f be c(3). Let r be (-50)\/((f\/a)\/(-1)). Round r to the nearest 100000.\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -68 (b) -0.09 (c) -603 (d) 5 (e) 4 (f) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*m + 727*i + 22 = 6*m + 722*i, -4*i - 3 = 4*m - 91 for m.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.05 - 0.05. Let h = g + 0.2. Which is the closest to 1\/3? (a) -0.2 (b) 5 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (432\/(-736))\/9*(-40)\/(-20).\nAnswer: -3\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 83314148 to the nearest integer?\nAnswer: 9128","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 137\/108 and 61\/35401680?\nAnswer: 106205040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 435 and 2175.\nAnswer: 435","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 1. Let o(s) = 8*s - 12. Let l(f) = -7*f + 12. Let t(h) = -5*l(h) - 4*o(h). Determine -12*q(v) - t(v).\nAnswer: -3*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2725589.\nAnswer: 227, 12007","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -100*u**3 + 2*u**2 + 2*u + 1. What are the prime factors of w(-1)?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 17 + -6. Suppose n - r - c = 5, r = 2*n - 36. Is 11 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -1627 and -0.2?\nAnswer: 1626.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -42 - -2. Let x = 40 + u. Let j = -0.1 + 0. Which is the closest to j? (a) 0.4 (b) x (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + -14 - (82 + -85)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -7*z**2 + 4*z + 4. Let x(t) = -27*t**2 + 15*t + 15. What is 15*d(k) - 4*x(k)?\nAnswer: 3*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1 + 43?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 518326741?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by 2463073\nAnswer: -1\/2463073","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*x = -2*b - 6, 4*x - 3*b = 2*x + 13 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 286 minutes after 5:12 AM?\nAnswer: 9:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -25*z**2 - 4*z - 8. Let u(o) = 51*o**2 + 7*o + 14. Let i(a) = 4*u(a) + 7*y(a). Let h(s) = s. Determine h(i(b)).\nAnswer: 29*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) be the first derivative of 2*m**3\/9 - 4*m**2 + 40*m\/3 + 46. Let y(r) = 0. What is r?\nAnswer: 2, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -240445*0.5.\nAnswer: -120222.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*q - 2*q - 3*c - 8, 0 = 2*c. Let j be -4*(-5 + (5 - 3 - -2)). Let g = 8 - j. Calculate the greatest common factor of q and g.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + (5 + 2 + sqrt(153))**2)*4.\nAnswer: 168*sqrt(17) + 792","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 345576812?\nAnswer: 2, 7, 1763147","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2364 and 1506.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -22 - 430?\nAnswer: -452","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dlll. What is prob of picking 1 d and 2 l?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, 0.4, 28 in descending order.\nAnswer: 28, 6, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-52)\/(-3))\/(10\/60).\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -15.23 + 634.23. Let u = m - 619.654. What is u rounded to 1 decimal place?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) be the second derivative of 1 + p + 5\/12*p**5 + 5\/6*p**2 - 25\/18*p**3 - 5\/36*p**4. Factor j(c).\nAnswer: 5*(c - 1)*(c + 1)*(5*c - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4.114 + -4.166. What is the second smallest value in 47, c, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*f**6 - 15557*f**4 - 4*f**3 + f**2 - 2*f + 90186?\nAnswer: 360*f**3 - 373368*f - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 10, -5, -2, 4, -0.5, 1913\/4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 353801.1 millimeters to micrometers.\nAnswer: 353801100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4*s**5 + 173*s**4 - 8*s**3 + 3*s**2 - 465199*s.\nAnswer: 80*s**3 + 2076*s**2 - 48*s + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 102 + (-15916)\/138 - (0 - 18)\nAnswer: 14\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Are 0.9 and 7.5611 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + 4*(sqrt(34)\/sqrt(2))**2 + -5 + (-1 + sqrt(272) + 3 + -4 + sqrt(68))**2.\nAnswer: -24*sqrt(17) + 675","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4528?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 433408806.\nAnswer: 2, 3, 809, 3307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1455548 and 36?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 586 minutes after 10:18 PM?\nAnswer: 8:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5 + 1. Is 2\/w - (-3852)\/8 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -397 - -674. Suppose -2*j - 3*j + o = 4*y, 5*j - 271 = -2*y. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5703 is divided by 26.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 2 + 0)*(932*d + 67*d + 48*d)*(-1 - 4 + 3)*(0 + 0 - 1) as n*d + c and give n.\nAnswer: 4188","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -i*k*w**3 - 29*i*k*w**2 + i*k + 551*i*w**3 with respect to k.\nAnswer: -i*w**3 - 29*i*w**2 + i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 694 is divided by 174?\nAnswer: 172","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 644 and 6580.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2289 - -2502. Let t = 41 + -29. Calculate the remainder when h is divided by t.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 107807801.\nAnswer: 31, 47, 61, 1213","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + (3 - 13) + (-1 - 3)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = s**2 - s. Let d be c(-1). Suppose 5*b + 5*v - d*v = 103, 0 = -2*v - 8. Suppose -30 = -5*r - q - 3*q, -4*r - 3*q = -b. Let n(f) = 2*f. Give n(r).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -15 - 13*z**3 + 15 + (-5 + 4 - 4)*(-5 + z**3 + 5).\nAnswer: -18*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4019*v - 3992*v - 297 = 0. Suppose 2*u = -3*g + 6*g + 316, -836 = -5*u - 4*g. Calculate the remainder when u is divided by v.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*b + 11 + 25. What is the highest common divisor of b and 9?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -59636.6 to the nearest 100.\nAnswer: -59600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(77) + -4*(sqrt(77) - sqrt(77)*2) + sqrt(77))\/((2*sqrt(84))\/sqrt(12)))**2.\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1403199?\nAnswer: 3, 7, 22273","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21*c**2 - 5 + c**2 + 5.\nAnswer: 22*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.6311439 and 0.4.\nAnswer: -0.25245756","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1081.\nAnswer: 23, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 94, 90, 86, 82, 78?\n\"Answer: -4*a + 98","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 37703, 75375, 113047, 150719, 188391, 226063?\n\"Answer: 37672*r + 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -158230.07207075191 + -38.52792834809. Let l = i + 158267.9. Let p = 0.7 + l. Round p to six dps.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*f - 12 = 2*f. Suppose f*m - 15 = 0, m + 3*m + 6 = 2*v. What is the remainder when v is divided by 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = k**3 + 5*k**2 - 7*k - 1. Let u be q(-6). Suppose -3*g = g + 2*p - 18, -3*g = u*p - 17. Solve 1 - g = -3*d for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*s**5 - 5*s**4 - 6463*s**3 - 4571*s**2 + 5*s wrt s.\nAnswer: 120*s**2 - 120*s - 38778","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -29*b**2*i**2 - 834*b**2 + 2*b*i**2 + 3*i wrt i?\nAnswer: -58*b**2*i + 4*b*i + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -12\/11 or -11\/4?\nAnswer: -11\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1826 is divided by 1779?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 1 j when two letters picked without replacement from ohaoajookaooa.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = v - 2. Let c(i) = i**2 - 11*i - 3. Let y be c(11). Let f(o) = -o + 3*o - 5*o + 5. Calculate y*f(g) - 7*s(g).\nAnswer: 2*g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of -125*(-4 + (-36)\/(-10))?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 67040062 is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -x**3 + 3*x**2 - 2*x + 2. Suppose 0 = y + 4*q - 2*q - 8, 0 = -5*q + 15. Let v be i(y). Suppose 45 - 7 = v*r. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 468 + 257 = 52*p - 107. Solve -5*y - 4*o + p = 0, -5*y + 5 = -3*y + 3*o for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 679 minutes before 11:39 AM?\nAnswer: 12:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -26*k - 6. Let t(y) = 5*y + 3 - 3 + 1. Let b(v) = -2*g(v) - 11*t(v). Differentiate b(j) wrt j.\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1728a - 43d5?\nAnswer: -1b681","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -225 - -440. Let f be 6\/2 - -541 - -2. Let b = f - g. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23955.\nAnswer: 3, 5, 1597","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*sqrt(7)*2 - (sqrt(7) + (sqrt(112) + 0)**2) - (3*sqrt(84)*-2)\/sqrt(12).\nAnswer: -112 + 15*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Total of -19913 and -0.3.\nAnswer: -19913.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 165158.\nAnswer: 2, 7, 47, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 5 = -5*d. Let b = 13 - 10. What is the closest to 2\/3 in 0, b, d?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 2*l + 2. Let f(z) be the first derivative of -z**2\/2 + 7*z + 1. Is 11 a factor of f(l)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-267)\/(-324) - 9\/12?\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) be the second derivative of 34*j + 0*j**3 + 3\/2*j**5 - 1\/20*j**6 + 0 + 0*j**2 - 25\/2*j**4. Factor q(h).\nAnswer: -3*h**2*(h - 10)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1255658 is divided by 1833.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 255929371 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + 3)*(-28*n - 23*n - 30*n).\nAnswer: -243*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5047 (base 10) to base 5.\nAnswer: -130142","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 555*f**2 - 1114*f**2 + 558*f**2 + 7*f - 2*f**3 in the form s*f**3 + k*f + b*f**2 + p and give b.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 10 - 6. Let z = 7 - 4. Suppose -z*n + 5*n - y = 0. Solve 6 = 5*p - s, 2*p + s + n*s = -1 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 436428.\nAnswer: 2, 3, 449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -4*s**2 + 8*s. Let j = 6 + 2. Let v(w) = -w. What is j*v(a) + p(a)?\nAnswer: -4*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 61 - 181 - (-43 + -14)?\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.5 + 0.8. Let k be 3 - (-39)\/(-9) - -1. Let q be 3\/(-4)*32\/(-36). Which is the closest to q? (a) l (b) -2 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 18 - 15. Suppose -394 = s*p + 695. What is the common denominator of -137\/6 and (154\/p)\/((-2)\/(-6))?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-252)\/(-44) + -6)*-29 - 1*(2 - -3). Find q, given that -d*q + 14\/11*q**5 + 80\/11*q**4 + 0 + 172\/11*q**2 - 234\/11*q**3 = 0.\nAnswer: -8, 0, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 87485940 by -54.\nAnswer: -1620110","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -2716386, -5432767, -8149146, -10865523?\n\"Answer: o**2 - 2716384*o - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*h + 4*h + 5*h)*(7*h + 0*h - h).\nAnswer: 30*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 2 + -2 + (-5 - (5 + -83)) + 1 + -7\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -b**3 - 4*b**2 + 11*b - 17. Calculate d(-7).\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 0.3 (b) 2 (c) -1 (d) -0.02\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -p + 3*a + 2*a + 81, 3*p - 253 = 5*a. Suppose 5*s - p = n, -n - 64 = -4*s + n. Is s a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 16\/(-52)*(-13)\/2. Let u = -39 - -72. Solve t*z = s + 9, -5*z + 2*s = -u + 11 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 335454 = -4*s, -9*q + 335462 = -8*q - 4*s. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-3)\/(-2))\/(2\/4). Let x(f) = 2*f**2 - 7*f - 7. Let l(p) = p**2 - 3*p - 3. Let q(c) = w*x(c) - 7*l(c). Let z(g) = -2*g**2. Give z(q(b)).\nAnswer: -2*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wu when two letters picked without replacement from {w: 2, l: 1, g: 2, u: 1, b: 1}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand -10*i**4 + 7*i**3 - 7*i**3 + (9*i**2 - 3*i**2 + 3*i**2)*(-9*i - 2*i**2 + 9*i).\nAnswer: -28*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(1\/8)\/j*j**(-18)\/j)\/((((j*j**4)\/j)\/j)\/j*j**(-2\/15)) assuming j is positive.\nAnswer: j**(-2609\/120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out 869 - 31.\nAnswer: 838","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2356428845?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3.5 + 7.5. What is the nearest to 0.1 in 0.3, -2\/5, a?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + m = -1, -4*i + 7*i + 2*m + 1 = 0. Is 1 less than i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 47 divide 182231?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -1078000 rounded to the nearest one hundred thousand?\nAnswer: -1100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 15\/785924 - -21458077\/11788860. Let x = y + -22\/183. Calculate the common denominator of x and 0 + -6*(-5)\/44.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 34186 + -4157. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve r + 11*l + 898 - 935 = 0, 0*l + 4*l = -4*r + 148 for r.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 603\/88 - 49\/22. Calculate the common denominator of k and -83\/2.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2206\/473 or -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.18866807 to 2 decimal places.\nAnswer: -0.19","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2080 is divided by 82.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3096073 is divided by 341?\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-56)\/(-320))\/(1\/(-5)*(-236)\/236)?\nAnswer: 7\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 6519064*s**3 + 80269819*s**2?\nAnswer: 39114384","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/d**(-1))**19\/(d**(-3\/8)*d**(-3)\/d) assuming d is positive.\nAnswer: d**(339\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4524.091 decades to centuries.\nAnswer: 452.4091","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = w + 6 - 20. Let f be -2*w - -8*(-4)\/(-8). Let j be f\/(-54) - 62\/18. What is the nearest to 0 in 2\/11, 0.5, j?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 15.81 - 16. Let h = -0.09 - r. Which is bigger: h or 5\/4?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -175995, -705219, -1587681, -2823387, -4412343, -6354555, -8650029?\nAnswer: -11298771","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 336577 is divided by 189?\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1 + -1. Suppose 0*j + j - 8 = z. Calculate the lowest common multiple of 4\/((-32)\/(-30)) + (-4)\/(-16) and j.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(48)\/(sqrt(8)\/sqrt(2)) + sqrt(12))\/(sqrt(4)*1*-6).\nAnswer: -sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = h**3 - 3*h**2 - 2*h + 2. Let b be k(3). Let z = b + 9. Suppose -m + 32 = -5*o + 101, 2*o = z*m + 46. What is the remainder when o is divided by 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -8.71267 + -6854.47.\nAnswer: -6863.18267","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1498?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1212102200 (base 3) in base 9?\nAnswer: 55380","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q = 2*n - 506, -89 = -q + 5*n + 43. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 4739 to the nearest 100.\nAnswer: 4700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 22\/5, -1.024, -4 in increasing order.\nAnswer: -4, -3, -1.024, 22\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 641888 to the power of 1\/3, to the nearest integer?\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.7 + 3.7. Let h = -2.8 + p. Let k = 16 + -16.3. Which is the second biggest value? (a) -5 (b) h (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 j when two letters picked without replacement from {x: 3, j: 4, f: 9}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*g - 3*g + 8*g)*(3*g + 2*g - g - 3).\nAnswer: 40*g**2 - 30*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) be the second derivative of 1\/20*c**5 - c**2 + 1\/12*c**4 + 11*c - 1\/2*c**3 - 3. Determine p(-2).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 divided by -1106875.\nAnswer: 1\/221375","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -cd5 (base 16) to base 14\nAnswer: -12a9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -28*g**3 - 3*g**2 + g + 4. Let s be d(-2). Find the second derivative of 16*y**3 + 8*y + 214 - s wrt y.\nAnswer: 96*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 18 = 2*z - 5*z, -2*z = -5*i. Let w be ((-36)\/z)\/((-8)\/(-20)). Find the common denominator of w\/(-15) + (-668)\/(-30) and -26\/11.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6217529 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 c(m) = m + 1. Let d be c(4). Let b = -228 + -297. Let x = b + 544. Solve -s + 3*n = 11, 0 = 4*s + 3*n - d + x for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 11 + -6. Let i(f) be the third derivative of -f**4\/24 + 2*f**3 + 12*f**2. Let w be i(a). Calculate the greatest common divisor of w and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -i. Let j be q(4). Let a be ((-4)\/(-4))\/((-2)\/j). Suppose -4*c + 78 = a. Calculate the highest common factor of 19 and c.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 200 - 131. Suppose q*h = 76*h - 2478. What is the units digit of h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2620546.\nAnswer: 2, 101, 12973","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in thirteen fifths of a gram?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -1 + 4 + (-16 - -22). Suppose h*z - 217 = 719. What is the tens digit of z?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -10 + (20 + (-2 - -1) - ((-69 - -71) + 6))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) be the first derivative of -5*c**3\/6 - 67*c + 38. Let l(t) be the first derivative of d(t). Let f(s) = 29*s**2. Give f(l(k)).\nAnswer: 725*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) be the second derivative of -5*o**2 + 5\/6*o**3 + 3\/4*o**4 + 1\/20*o**5 + 2*o + 0. What is the units digit of r(-8)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 203402336?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 41874 or 1256233\/30?\nAnswer: 41874","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 9416?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 14920.4 milligrams to tonnes.\nAnswer: 0.0000149204","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4917*h**4 + 21*h - 93 wrt h?\nAnswer: 59004*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -3*v. Suppose 19 = 5*k + 2*j - 4, -3*k + 10 = 5*j. Suppose 5*d + 20 = k. List the prime factors of r(d).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -91.2 - -89. Let i = -0.4 - 0. Let n = i - m. Round n to the nearest integer.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 14\/5 and -39\/2890?\nAnswer: 2890","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -q**2 + 6*q - 304 + 4*q**2 + 298. Let v(m) be the third derivative of m**5\/60 + m**4\/24 - m**3\/6 - m**2. Calculate -b(a) + 6*v(a).\nAnswer: 3*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 102043 - 510209\/5. Factor o*u + 81\/5*u**3 + 21\/5*u**5 + 69\/5*u**4 + 39\/5*u**2 + 0.\nAnswer: 3*u*(u + 1)**3*(7*u + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 68750 and 502150?\nAnswer: 550","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 47, 46, 43, 38, 31, 22?\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1000001 - -100001100?\nAnswer: 101001101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 112520625 + -112520630.0999897. Let c = 6.38 + -1.28. Let u = c + q. What is u rounded to six dps?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-10)\/(240\/(-18)))\/((-61101)\/(-2232)).\nAnswer: 2\/73","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -113*d + 326*d - 109*d - 105*d.\nAnswer: -d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 1953 = -153. Let x be 5 + 0 + (-1692)\/a. What is the nearest to x in -5, 0, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2133320000 (base 4) to base 16.\nAnswer: -9fe00","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (41*244\/17507)\/(3\/14*-2)\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -39+0.10851\nAnswer: -38.89149","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -52*p**3 - 3*p**2 + 10*p + 7. What is the tens digit of l(-4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g = -18*g - 51 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/3? (a) -0.1 (b) 4\/21 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Are 30\/10077049 and 1 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1343 - 6716\/5. Which is the biggest value? (a) 3\/5 (b) -15 (c) t (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 537 and 1419828.\nAnswer: 537","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 4, 40, 76, 112?\n\"Answer: 36*w - 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 382 to the power of 1\/5, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bb when two letters picked without replacement from {s: 2, d: 5, b: 3, t: 1, i: 1}?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 48 and 168?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) be the third derivative of -v**5\/15 + 5*v**4\/3 + 16*v**2 + 2. Find d such that z(d) = 0.\nAnswer: 0, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2 - (-21)\/15)*-5. Let q(g) = 5 + 2 + g**2 - m. Let u be q(0). Solve -5*d + 4*d - 2*t = -2, -5*d + 24 = -u*t for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of s**3*y + 328998*s**2*y**3 + 10*y**3 - 64*y**2 + 2*y - 44 wrt s.\nAnswer: 3*s**2*y + 657996*s*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in u**3 + 7*u**3 + 8*u**3 - 3*u**3.\nAnswer: 13*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 85840929?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 7, z: 6, t: 4, m: 1}. Give prob of sequence sz.\nAnswer: 7\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.12 + 0.02. What is the nearest to 0 in 1, 4, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 36 - 32. Solve 5*m + 0*m = 4*k + 37, 3*k - 11 = -d*m for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45 = -5*p + 3*a, 4*p = -5*a + 3*a + 58. Calculate the greatest common divisor of p and 3012.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32140 a multiple of 56?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f = -7*f + 21. Suppose 30 = f*s + 9. Solve 0 = -s*q + 4*q - 4 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2596323?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-80)\/(-6))\/(20\/(-60)). Let a = n + 43. Solve 2*q - 5 = a*v - 7, 6 = -v + 2*q for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/(36\/162*45\/10).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 1 - 3 + 25*d**2 + 2 - 2*d. Let h(r) = 3151*r**2 - 253*r. Let s(q) = -2*h(q) + 253*k(q). Let y(n) = -2*n. Determine s(y(t)).\nAnswer: 92*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19533 is divided by 21?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 30 + 7 + (-1 - -1) + -3 is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 997 is divided by 127?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 620010297?\nAnswer: 3, 68890033","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*r**3 + 2*r**2 - 66 - 2*r**2 + 3*r**3 - 45 as y*r**2 + k + q*r + g*r**3 and give k.\nAnswer: -111","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -7*m**2 + 3*m**5 - 9*m**4 - 3*m**3 - 3*m**2 + 25*m**3 - 5*m**4 - m**5.\nAnswer: 2*m**2*(m - 5)*(m - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dddbldbddbbndrrb. What is prob of picking 1 r, 2 b, and 1 l?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jooxxjjxxx. Give prob of sequence xxxo.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -10 + 6. Let i = 2396\/11 - 218. Suppose 2*s = -3*d + 1, -d + 1 = 2*s + 2. Which is the nearest to q? (a) -2\/5 (b) i (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 6 - 1)*(-2*n + 2*n + 2*n) + 3*n - 1 + 1.\nAnswer: 7*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 3989 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 1, j: 11}. What is prob of picking 2 j?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 149\/30 and -76\/993453435.\nAnswer: 1986906870","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 201 - 31?\nAnswer: 120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kk when two letters picked without replacement from {s: 1, q: 1, n: 2, k: 6, v: 2, a: 3}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16427*g + 0 + 0 + 23*g**2 + 16427*g.\nAnswer: 23*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 2*g - 1. Give s(12).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*((-4 + sqrt(320) + 0)*-6 - -1*(sqrt(320) + 1)*-1)**2.\nAnswer: -32418 + 5152*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -6*j - 12. Let m be a(-5). Let h = m - 12. Let s = h + 24. What is the tens digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 587 + 567 = 126*h - 484 for h.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -497\/4369 + -1\/257. Which is the second smallest value? (a) 1\/2 (b) -0.5 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2490 - -2490. Which is smaller: 3\/10751 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 119506 to the power of 1\/2, to the nearest integer?\nAnswer: 346","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -31150 divided by 2225.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 143 - 142.11. Let g = c - 7.89. Let n = -17.8 + 18. Sort -5, g, n.\nAnswer: g, -5, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 19 - 15. Sort 3, h, -12 in increasing order.\nAnswer: -12, 3, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1000111 + 1011101101000011101?\nAnswer: 1011101101001100100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (22\/10)\/(5412\/24600).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 60 and 77835.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 24*g - 100. Let z be w(4). Let j(y) = -10*y - 12. Let f(x) = -9*x - 11. Let u(m) = -7*f(m) + 6*j(m). Determine u(z).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 140728 (base 13) in base 3?\nAnswer: 220201200221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-17527984)\/(-56) + (-2)\/(-7). Round p to the nearest 100000.\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 9.009 - 9. What is g rounded to three decimal places?\nAnswer: 0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/67, 13, -0.1, 0.7 in descending order.\nAnswer: 13, 0.7, -1\/67, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 327\/9 + (-305)\/(-183) + 7\/7 + 5.\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = v**6 - v**3 + v**2 - 2. Let w(r) = -r**6 + 253*r**3 - 40*r - 2. Let h(l) = u(l) - w(l). What is the third derivative of h(f) wrt f?\nAnswer: 240*f**3 - 1524","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 69\/2 of a microgram?\nAnswer: 34500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*x + 0*x + 15180 + 0*x + 9277.\nAnswer: -4*x + 24457","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -95 - -95.2. Sort -0.5, 0.3, f, -3.\nAnswer: -3, -0.5, f, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 0*g + 2 + 3 + 3*g - 4*g. What are the prime factors of u(-5)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 203 (base 5) to base 3.\nAnswer: 1222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 80 - 53. Let u(h) = 32*h - 1331. Calculate the remainder when u(44) is divided by a.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 21\/(-2)*(-320)\/24. Let r be 4\/(d\/44 + -3). Let i = -17 + r. Put 10, i, 1 in ascending order.\nAnswer: 1, i, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (7 - 11 - 19)*(c + 0 + 0) in the form d*c + l and give d.\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 543 is divided by 88.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000513 to 7 decimal places.\nAnswer: 0.0000051","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 541496.5kg in micrograms?\nAnswer: 541496500000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -6 (b) -47 (c) 3 (d) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/4 + 1 - 555\/(-518).\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 11 + -41101?\nAnswer: -41060","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 713*l - 1416. Let c be r(2). Solve -c*y + 31*y = 147 for y.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 136304 and 22?\nAnswer: 1499344","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 6780.1mg in micrograms?\nAnswer: 6780100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 114 and 60?\nAnswer: 1140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 186 or -2\/7?\nAnswer: 186","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - (-4 + -6)) + (-11 - 22 - 11)?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 167000104?\nAnswer: 2, 20875013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 73 divide 1588888454?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 243043 to the power of 1\/8, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 633208 and 8?\nAnswer: 633208","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or 5634?\nAnswer: 5634","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 98 - 47. Let a = 50.6 - z. Let c = -0.227 + 0.427. What is the third smallest value in c, 4, a, -1\/4?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = a**2 + 10*a - 1. Let p be n(-10). Calculate the remainder when 57 is divided by p\/(92\/(-30) - -3).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-6 - 288\/42)*(19 + 64\/(-3))\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.3 in 1205\/8, 11, -1, 10?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -k**2 - 9*k + 17. Let i be t(-9). Let p be 0*2\/4*-1. Suppose l + 0*l - i = p. What are the prime factors of l?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 * 133.03965\nAnswer: 399.11895","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*a + 10 = -3*g + 14*a, -5*g = -2*a + 4. Solve g = -14*d - 31 - 11 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-3\/2)\/(q*(q\/q**(1\/4))\/q*q))\/(q\/(q*q**(-2\/15)*q)*q\/(q*q**12)) assuming q is positive.\nAnswer: q**(577\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -659 - -2321. What is the tens digit of x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.42 take away 20809703.81?\nAnswer: -20809704.23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 418 and 3914.\nAnswer: 43054","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(68) + 3*(sqrt(68)*2 - sqrt(68)) - (sqrt(68)*-1 + 5) - (5 + 1*sqrt(68)*1))*-4*4 + -5)**2.\nAnswer: -39680*sqrt(17) + 302553","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -6? (a) -3.9 (b) 3 (c) 1\/6 (d) -650\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19 - 34 + 15 - 82*q**2.\nAnswer: -82*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:54 PM and 6:10 AM?\nAnswer: 616","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 11\/189 and 53\/495943?\nAnswer: 13390461","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate (70\/20)\/(1050\/1950).\nAnswer: 13\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 96579?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 983, 1910, 2837?\n\"Answer: 927*t + 56","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ue when two letters picked without replacement from rbuer.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (62\/8)\/(22\/(340 - -12)). Solve -3*j + 34*j = -p for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -286, -620, -902, -1078, -1094, -896?\nAnswer: -430","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -482, -314, -146, 22?\n\"Answer: 168*k - 650","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 722.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -74*o**2 + 26*o - 6. Let y(c) = c**2 + 2. Let l(s) = -a(s) - 3*y(s). List the prime factors of l(-2).\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -w**3 - 10*w**2 + 11*w - 2. Let s be l(-11). Let b be 1\/s + (-105)\/6. Is (-2)\/3 + (-894)\/b a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = b - 12. Let g(k) = -b - k**2 + 10. Let l(q) = 28*q + 7. Let s(t) = -9*t - 2. Let n(z) = 2*l(z) + 7*s(z). What is n(g(h))?\nAnswer: 7*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-35)\/(-4) + (-6)\/(-24). Suppose k = 3*m - 0. What are the prime factors of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -x**3 - 26*x**2 + 30*x + 90. Calculate the lowest common multiple of 6 and h(-27).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*z + 6*z - 1. Let g be (z*-1)\/((-1)\/5). Suppose g*r + 3*h = 7*h + 1645, -4*r + h = -1316. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r = -5*f + 25, -3*f = -2*r + r - 23. Suppose -f*l + 22 = -2*l - 4*p, -14 = -l + 4*p. Solve 6 = 5*t - 2*t - l*z, -3*z = -3*t + 6 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 + -16 + 0 + 4 + -4?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 574212479.\nAnswer: 574212479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 125 - 120. Suppose -x = 4*c - 35, c + 4 = 3*c - 4*x. Suppose -2 = -d + c. Calculate the least common multiple of d and s.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g + 2*q - 12 = 2, 4*g + 2*q = -16 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 74 * 3194.344.\nAnswer: 236381.456","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1.9 in -40, -753, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 75 and 100.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) be the second derivative of 2147*n**3\/6 - 1391*n**2\/2 - 55*n. Find the first derivative of g(j) wrt j.\nAnswer: 2147","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 29689 and 1342?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 22950 is divided by 66.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -15958 - -24374. Is r a multiple of 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.059 - 0.058. Let a = 2.201 - b. Let k = 0.2 - 0.1. Which is smaller: k or a?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 8*g - 4 - 14*g**2 + 8 + 16*g**2. Determine h(-5).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 921017 and 8170.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 193?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + -6 + 2 + 0 + 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5500, -5514, -5528, -5542, -5556?\nAnswer: -5570","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 22711170?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -708 + 703. Let k = -1.63 - -1.93. Which is the biggest value? (a) p (b) k (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 25.4*0.564579\nAnswer: 14.3403066","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1538*k = 1533*k + 3*m + 35, k + 2*m + 6 = 0 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -179*a**2 + 16240*a - 8121*a + 8*a**2 - 8119*a.\nAnswer: -171*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1358938724?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -12*m**2 - 4*m - 3. Suppose -5*h = 19 + 1. Let g(u) = 13*u**2 + 5*u + 4. Let y(v) = h*g(v) - 5*f(v). Suppose 4*x - 3 = x. Determine y(x).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 78279174, 78279175, 78279176?\n\"Answer: y + 78279173","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 33827 - 18763. Suppose h = -0*b + 3*b - 5*v, -4*v + 10072 = 2*b. Let s = b - 1381. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = j + 31. What are the prime factors of j?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -g**2 + 10*g - 25. Let w be q(7). Let x(f) = 8*f - 1. Let u be x(2). What is the common denominator of (w - -2) + u\/11 and 59\/7?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 74985.87 centuries in millennia?\nAnswer: 7498.587","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -460 - -165. Which is greater: -294 or q?\nAnswer: -294","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -675 (base 10) in base 11?\nAnswer: -564","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -32*l + 162. Calculate y(-8).\nAnswer: 418","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y\/(y**47*y)*y**(-1\/42)\/y assuming y is positive.\nAnswer: y**(-2017\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 6 + -15. Let m = c + 14. Suppose m*o - 56 = 3*d + 40, -2*o + 4*d + 44 = 0. What is the tens digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23459625.\nAnswer: 3, 5, 7, 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 6*d + 0 + 4*d)*(-1 - 1 + 3) - 9*d + 0*d + 3*d.\nAnswer: -8*d - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 23110000 rounded to the nearest one million?\nAnswer: 23000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 4 (b) 1734 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 262, -0.28, 7, -10, -4?\nAnswer: -0.28","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-21)\/((-336)\/(-40))*14\/(-20).\nAnswer: 7\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -4 - (-10 + -13 + 9) - (-36 - -9)\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 14 - 36 - 86*x**2 + 9 - x**3 + 76*x**2 + 11 + 5*x to the form c + f*x + g*x**3 + h*x**2 and give c.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -427811891*l**3 + 673227530*l**2.\nAnswer: -2566871346","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**3\/m**(-1\/3))\/(m**5\/(m*m**2)) assuming m is positive.\nAnswer: m**(4\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.16 (b) 0.1 (c) 0.03\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -25*z**2. Let p(m) = -19310*m**2. Determine p(y(b)).\nAnswer: -12068750*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000625 to six decimal places.\nAnswer: 0.000063","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 3*s**3 + 213*s**2 + 6*s - 14288. Give d(-70).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 96.58237 litres in millilitres?\nAnswer: 96582.37","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 (base 2) in base 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(80)\/sqrt(8) - 3*(sqrt(10)*3 + sqrt(10) + sqrt(10)))\/((sqrt(50) - sqrt(450)*-1)\/(-5*sqrt(20)\/sqrt(2))).\nAnswer: 35*sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(-1\/5)*c\/(c*c**(-2))*c)\/(c**6\/(c\/(c**6*c))))**(-49) assuming c is positive.\nAnswer: c**(2254\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*i = -13*i - 3. Is (-2)\/3 - 0 - 320\/i a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-20)\/(-50) + ((-6)\/5)\/3. Solve z = -v + 4*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -5, -6\/35, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 11900?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**2\/(o\/((o**(-1)*o)\/o)))\/(o**(1\/2)*o**2*o)*o\/(o\/(o\/(o*o**(-5)*o)))*o**(1\/6)*o*(o\/(o**(-1)\/o)*o)**(-22) assuming o is positive.\nAnswer: o**(-259\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u + 3*u = 9. What is the second derivative of u*r**2 + 5*r**3 - 39*r - 3*r**2 + 35*r wrt r?\nAnswer: 30*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 561806 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1742769.\nAnswer: 3, 7, 9221","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*l**3 + 28 - 2*l - 18 - 11 + (2*l**2 - 2*l**2 - 2*l**2)*(2*l - l - 2*l).\nAnswer: 6*l**3 - 2*l - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 9042 divided by 11?\nAnswer: 822","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 8202527 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 207 minutes before 12:04 PM?\nAnswer: 8:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 14, v: 5}. What is prob of picking 3 e?\nAnswer: 364\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 + 0 = p. Let a be -31*p\/(-2 + 1). Let t = a - 5. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = z**2. Let q(m) = 7*m**2 + 5*m - 5. Let f(y) = 9*y**2 + 6*y - 6. Let o(j) = 5*f(j) - 6*q(j). Calculate 11*l(x) - 4*o(x).\nAnswer: -x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pu when two letters picked without replacement from {p: 10, u: 2}?\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -122 (base 4) to base 11\nAnswer: -24","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = 2*l - m + 4*m, -3*l + 5*m = 9. Suppose -w = -l*u - 259, w = -4*w + 4*u + 1313. What are the prime factors of w?\nAnswer: 5, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 230732 times -58?\nAnswer: -13382456","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -u**3 + 2*u**2 - 2*u + 3. Calculate o(2).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = n**3 + 10*n**2 + 10*n - 3. Let z be i(-8). Let m be (2\/(-5))\/(36\/z). Let w be (10\/6)\/(2\/(-6)). What is the second smallest value in m, w, 1?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -34*g + 13*g - 25*g - 24*g in the form m*g + i and give m.\nAnswer: -70","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 50989 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 321273 and 652?\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 513214 (base 6) to base 10.\nAnswer: 40906","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 30 + -39 + 204\/17.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -v**3 + 2*v**2 + 3*v + 3. Let a be c(3). Let l(o) = 11*o - 2. Let m be l(a). Suppose w - 5*t = m, 0*t + 5*t + 15 = 0. What is the tens digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 15545 - 2?\nAnswer: 15543","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -135819*c + 132510*c + 281265 for c.\nAnswer: 85","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5? (a) 0.05 (b) -0.1 (c) 1955 (d) -3 (e) -0.4 (f) 14\/3\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 19531.4 + -19531. What is the closest to -1 in 0.1, n, -1, -167?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 1961.394 minutes?\nAnswer: 32.6899","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 461765?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -79 + 129. Suppose b - 6*b + 29 = -4*c, -b - 2*c = -17. List the prime factors of 2\/b + g\/18.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2*19*(15 + -11) a multiple of 38?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = g**3 - 3*g**2 + 3*g - 2. Let w be l(2). Let h(y) = -y - 8. Suppose 0 = -3*x - 7 - 14. Let t be h(x). Which is smaller: w or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23369 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -f**2 + 255*f + 2407. Let t be d(-9). Let i = -33 + 74. Solve -5*x = -i + t for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) be the second derivative of m**4\/12 + 9*m - 19. Let r(n) = -190*n**2 + 1. Determine c(r(v)).\nAnswer: 36100*v**4 - 380*v**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*i + 47 = 8*z + 12*i, 2*z = 5*i - 7 for z.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j**(1\/5)\/j)**(-19)*(j**(-4)\/j)**(-34))**(-2\/29) assuming j is positive.\nAnswer: j**(-1662\/145)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -228*l + 264*l - 864 = 0. What is the greatest common factor of 3948 and l?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(-2 + sqrt(112) + 1)**2 - -5*(-1 + (2 + sqrt(700))**2).\nAnswer: 248*sqrt(7) + 2837","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -271 + 266. Let i(f) = 28*f. Let h(j) = -18*j. Let g(u) = o*i(u) - 8*h(u). Let q(w) = -90*w. Give 88*g(n) + 4*q(n).\nAnswer: -8*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 1365, 5423, 12187, 21657?\n\"Answer: 1353*n**2 - n + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 35*j - 30. Let f(y) = 2*y. Let i(r) = -10*f(r) + x(r). Calculate the remainder when i(6) is divided by 28.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = 2*k - 2. Suppose -69*o = -67*o - 10. Suppose -m = 2*a + o, a = 13*m - 8*m + 3. Sort 0, k, 8, m.\nAnswer: k, m, 0, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -30 - -25 - (-2 + -7)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = n**3 - 14*n**2 + 2*n - 41. Does 10 divide b(15)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -n**3 - 9*n**2 - n + 1. Let l be q(-9). Suppose 0 = 3*y - 9, -2*y + 6 + l = 5*o. Solve 3*b + 0*b = 4*j - 12, 3*j - o*b = 8 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 2*x + 16 = 0, -2*q + 5*x - 9 = -5*q. Let z = q + -8. Let r(j) = -3*j - 13. Let p be r(z). Calculate the greatest common factor of p and 68.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pv when two letters picked without replacement from vvpvphccvvvppv.\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) be the third derivative of -w**6\/120 + 7*w**5\/30 + 7*w**4\/12 - 19*w**3\/6 + 12*w**2. Is g(-8) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -i**2 + 15*i - 1. Let b be s(15). Let v be (-1)\/((-3)\/4 - b). Let c be 15\/(-10)*v\/6. Is c greater than or equal to -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17208453 is divided by 58933.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 3*n**2 - n. Let b be c(-1). Suppose 3*z - 4 = z. Find the first derivative of h - z - b*h + h wrt h.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.033 + 3.3501?\nAnswer: 3.3831","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 4*j + 21 = 0. Let p = j - 18. Suppose -876 = -p*u - 3*i - 0*i, 2*i + 286 = u. Round u to the nearest 100.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*c - 21*c + 28 = 0. What is the units digit of c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1712d9 (base 15) to base 11\nAnswer: -6a3893","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2705.\nAnswer: 5, 541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) be the second derivative of 41*y**3\/6 - 326*y + 3. Let m(z) = -2 - z + 2. Give m(t(a)).\nAnswer: -41*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**11\/(c*c**16)*(c\/c**(-3\/4))**(3\/11))**(-1\/23) assuming c is positive.\nAnswer: c**(243\/1012)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = b - 2. Calculate the lowest common multiple of r(16) and 8.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000347 rounded to 6 decimal places?\nAnswer: -0.000035","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) be the second derivative of y**3\/6 + 65*y**2\/2 - 3*y. Is d(0) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 14 - 9. Let m be (2 - 6\/4)*10. What is the greatest common factor of m and q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1868*p**5 - 1699*p**2?\nAnswer: -112080*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 158707.\nAnswer: 19, 8353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -223+133169\nAnswer: 132946","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 165891 is divided by 91?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_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: Calculate the highest common divisor of 30850 and 614.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -3*m**3 - 2*m**2 - 2*m - 2. Let j(a) = -9 + 0*a + 4*a - 7*a - 6*a - 12*a**3 - 9*a**2. Let d be 78\/12 + 9\/(-2). Determine d*j(h) - 9*t(h).\nAnswer: 3*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Do 7932 and 71378\/9 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -122, 5, 8 in decreasing order.\nAnswer: 8, 5, 0, -122","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:49 PM and 3:17 AM?\nAnswer: 688","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-5170)\/1155)\/(4\/(-7)) + 35\/30?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.12 from -74.18.\nAnswer: -74.06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -5*w**3 + 3*w + 3. Let m be o(-1). Suppose 0 = m*c + 10, -5*c - 41 = -4*y - 3. Let v(x) = 5*x - 33. Let q be v(y). Solve -3*p = -5*p - q for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*u**2\/11 - 1592*u\/11 - 3176\/11.\nAnswer: -2*(u + 2)*(u + 794)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express -k**2 + 4*k**3 + 94*k**4 + 2 + 90*k**4 - 276*k**4 + 94*k**4 + 75*k**2 as v + q*k**4 + j*k + w*k**3 + u*k**2 and give q.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(sqrt(143) + (sqrt(143) - -1*sqrt(143))*3)\/(4*sqrt(33)\/sqrt(3)).\nAnswer: 7*sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 34012 (base 5) to base 16.\nAnswer: 94e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2)\/11 - -3*(-934037)\/(-143). What is c rounded to the nearest one hundred?\nAnswer: 19600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1962?\nAnswer: 2, 3, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -69.75008 to two decimal places.\nAnswer: -69.75","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20830 is divided by 1231.\nAnswer: 1134","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -11*m + 2. Let o(u) = u**3 + 12*u - 3. Give -2*o(v) - 3*w(v).\nAnswer: -2*v**3 + 9*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 220, 441, 660, 877, 1092, 1305, 1516?\nAnswer: 1725","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1795?\nAnswer: 5, 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by -254.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = 5*w - 3*k - 3, 5*w + 5*k + 15 = 0. Let c = w - -2. Calculate the highest common divisor of c and 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 38\/5 - 116\/15. Suppose 17 = 5*s - 2*s - 5*d, 0 = -5*s + d - 1. Let t be -2 + s + (0 - -2). Which is the closest to t? (a) 4\/3 (b) g (c) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3321 a factor of 537112?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 2 a when three letters picked without replacement from {a: 2, n: 6}?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5883083623 to the nearest integer?\nAnswer: 76701","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*f**2 - 317380*f - 634776.\nAnswer: 4*(f - 79347)*(f + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -c**2*k*l - 75543*c**2*l - 2*c**2 + 2*c*k - 3*c*l - 13*k - 1051 wrt l.\nAnswer: -c**2*k - 75543*c**2 - 3*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -31*o + 1824. What is l(59)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 0 + 5 + -9 + 46 - ((-3 - 9) + 17)\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 108*k - 1268. Let p be d(12). Solve -38*q - 60 = -p*q for q.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 42813?\nAnswer: 3, 67, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -298977556 divided by -4\nAnswer: 74744389","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 552393 and -6.\nAnswer: -3314358","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 786975?\nAnswer: 3, 5, 7, 1499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4 - -6. Let i be -6 - j\/2*-2. What is the common denominator of i\/(-14) + 345\/(-56) and 151\/18?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 332027775?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 7019340 to the nearest integer?\nAnswer: 191","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 4504587872?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -8 - -14. What is the least common multiple of b and (-11 - (1 - 1))\/(-1)?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine m so that -5*m**4\/4 + 1221*m**3\/2 - 54331*m**2\/4 - 17229*m\/2 + 5580 = 0.\nAnswer: -1, 2\/5, 24, 465","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -14.671 rounded to 0 decimal places?\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -4 >= -531?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = g**2 - 10*g - 13. Let u(w) = 2*w**2 - 11*w - 13. Let c(x) = -3*k(x) + 2*u(x). Let n be c(-7). Suppose 9*d - n - 12 = 0. Solve 2*q = 8 + d for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mmjm when four letters picked without replacement from {j: 4, m: 16}.\nAnswer: 112\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*r**3 - 7*r + 0*r + 1480391*r**2 + 5 - 1480391*r**2 in the form i*r**3 + n + l*r**2 + b*r and give i.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*d + 184488 = -2138. Find the third derivative of 7*j**6 + 2*j**3 + 10978*j**4 - d*j**4 - 7*j**2 - 1 wrt j.\nAnswer: 840*j**3 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -187, 3, 5, -3, 7, -1 in ascending order.\nAnswer: -187, -3, -1, 3, 5, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 934 a factor of 28553501?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2)\/3 + (-32)\/(-12). Suppose -u*g - g - 2010000 = 0. What is g rounded to the nearest one hundred thousand?\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -526*i + 4. Let o be t(4). Round o to the nearest 1000.\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/((-12)\/249))\/((-46)\/(-6256)*136)?\nAnswer: -83","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) be the first derivative of z**3\/3 + z**2\/2 + z - 1. Let k be (-11)\/3 + 3\/(-9). Let b(m) = m**2 + 2*m + 2. Determine k*i(w) + 2*b(w).\nAnswer: -2*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nuel when four letters picked without replacement from uelqn?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -55*j + 4. Let r be l(25). Let k = 1929 + r. What is the units digit of k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -4*(-4 - (-2 - -2)). Suppose m - 6 = -5*a, k - 3*a - 9 = 0. Solve -2*u + 4*u = 4*g - 18, -k*g + 15 = -3*u for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l - 24 = -0*g + 4*g, 3*g - 2 = 2*l. Sort g, -3, -0.3 in increasing order.\nAnswer: -3, g, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -q**2 - 29*q - 41. Let r be i(-27). Suppose -2*o = r*o - 8325. What are the prime factors of o?\nAnswer: 3, 5, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (2\/14)\/((-106)\/(-23002)). Suppose -3*b + 9*a = 4*a - x, -4*a - 20 = -2*b. What is the greatest common factor of b and 40?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 4*v**3 + 4*v**2 - 7*v + 5. Let t(u) = -5*u**3 - 4*u**2 + 8*u - 6. Let j = -3221 - -3216. Give j*t(p) - 6*f(p).\nAnswer: p**3 - 4*p**2 + 2*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 135161.\nAnswer: 13, 37, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4712?\nAnswer: 2, 19, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 27399975 = 5*s, 2*s + 72142488 + 64857502 = 5*n. Round n to the nearest one million.\nAnswer: 27000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -6\/23 (b) 4\/5 (c) -9959\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 69 divide 2227410?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 694d + -13d77?\nAnswer: -b428","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**8*k**(-1))\/(k**0)**(-41) assuming k is positive.\nAnswer: k**7","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 160 - k + 171 - 507 + 168. Let y(h) = -h**2 - 2*h - 23. What is -8*o(m) + 3*y(m)?\nAnswer: -3*m**2 + 2*m - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 - 1) + (3 - 5).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 4*x**2 + 26*x - 194. Calculate r(-11).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3021, 3017, 3005, 2979, 2933, 2861, 2757?\nAnswer: 2615","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(-4)\/t)\/(t\/t**(-2\/13)*t))\/(t**(-3\/5)\/(t**4*t))*(t**(2\/9)\/t**(2\/3))\/(t*t*t\/t**1*t*t**(2\/7)*t) assuming t is positive.\nAnswer: t**(-25733\/4095)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*t = 2*t. Solve q + q - 4 = t for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 2 a when three letters picked without replacement from {f: 1, l: 1, x: 1, t: 1, a: 3}?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 72 and 841428?\nAnswer: 1682856","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 1650?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1 - -1 - (1 + -2). Suppose 58 + 14 = h*g + m, 5*g - 5*m - 140 = 0. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -1009806, -1009808, -1009810, -1009812, -1009814, -1009816?\n\"Answer: -2*c - 1009804","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.150789km in nanometers?\nAnswer: 8150789000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + 0 - 12 = 0. Let x = 10 - k. What is the biggest value in -2, -2\/7, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 12212*t**2 - 4211*t**2 - 4536*t**2 to the form a*t**2 + n*t + b and give a.\nAnswer: 3465","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 3565 + 34?\nAnswer: 3632","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out 20 * -0.02676.\nAnswer: -0.5352","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = q**3 - 4*q**2 + 106. What is t(0)?\nAnswer: 106","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express 59*h**2 - 9*h**2 + 102*h**2 - 32*h**2 as y*h + f*h**2 + n and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.308 - -4.308. Let v(a) = -5*a**3 - a**2 + a + 1. Let w be v(-1). Let n be w\/10 + 2\/(-4). Sort x, 1\/2, n.\nAnswer: n, 1\/2, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*c + 0*c + c + (8*c - 4 + 4)*(-3 + 2 - 2))*(-5 + 8 + 3).\nAnswer: -156*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 11\/2, -4\/3, -8\/5, -3, 0.\nAnswer: -3, -8\/5, -4\/3, 0, 11\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand k + 0*k - 2*k + (-1 + 1 + 2)*(-3*k + k + 3*k) + 2*k - 4*k + 4*k + (172 + 71 - 21)*(0*k + k + 2*k).\nAnswer: 669*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -3*w**3 - 2*w + 2. Let l be t(1). Suppose -12 = 3*n + 6. Is (-28)\/n*(12 + l) a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) be the first derivative of 50*g**3\/3 + 3*g**2 - 2*g - 138. What are the prime factors of v(-2)?\nAnswer: 2, 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0, 464\/3, -4\/5, -6, 2\/11, 2\/15?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1 + 4)\/(-6)*0. Suppose 4\/11*t + 2\/11*t**2 + r = 0. Calculate t.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 150*i**2 + 1234*i - 150*i**2 - 169*i**5 + 1045*i**5 + 358*i**5 wrt i?\nAnswer: 24680*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is j in -15*j**3 + 25*j**2 + 20*j - 20 = 0?\nAnswer: -1, 2\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*w**2*y + 25872261*w*y - 38358138*y with respect to w.\nAnswer: 4*w*y + 25872261*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0 + 0.01. Let k = 768\/7 - 110. What is the nearest to k in t, 3\/2, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -122300 rounded to the nearest ten thousand?\nAnswer: -120000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out -173 * -1.\nAnswer: 173","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 - 1 - 1 + 1 - 1 - 2 + (2 - 6 + 3)*(-2 + 3 + 1) + 0 - 3 + 2 + 17 + 50 + 1)*(m**4 + 2 - 2) in the form h + o*m**4 + r*m + z*m**3 + p*m**2 and give o.\nAnswer: 61","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1490, 1344, 5 in decreasing order.\nAnswer: 1344, 5, -1490","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4 - -51. Is 11 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor k**2 - 72*k - 73.\nAnswer: (k - 73)*(k + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2539*p**4 - 460*p**2 + 2*p?\nAnswer: 60936*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16809 = -2*d + 5*j, 58*j - 8402 = -d + 63*j. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8724 + (-14 - -24 - (0 + -2)) a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*v + 3 = -5*v. Let k(w) = 3*w**3 + 3*w**2 - w - 2. Is 32 a factor of k(v)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -4*w - 5. Let l(r) = r + 1. Let t(s) = g(s) + 5*l(s). Let c be (-4)\/(-10) - (-32)\/20. Let v(q) = -3*q + 3*q - c*q**2. Calculate t(v(n)).\nAnswer: -2*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -3 + 10429206?\nAnswer: 10429203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find u, given that -u**5 - 11902*u**4\/5 - 1409893*u**3 + 39784148*u**2\/5 - 39889148*u\/5 - 22771984\/5 = 0.\nAnswer: -1193, -2\/5, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t**4\/5 + 38*t**3 - 40*t**2 - 152*t + 768\/5 = 0. What is t?\nAnswer: -96, -2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wwrr when four letters picked without replacement from {u: 1, f: 1, r: 2, w: 5, a: 3}.\nAnswer: 1\/297","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2.24 - -2.1. Let h = r - -0.09. Let q = h - -1.85. Sort -3, q, 2\/3 in increasing order.\nAnswer: -3, 2\/3, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -91, -2263726, -5, -0.4 in decreasing order.\nAnswer: -0.4, -5, -91, -2263726","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 94?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xe when two letters picked without replacement from {e: 5, t: 1, x: 2, f: 2, o: 10}.\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -11414*w**2 + w. Let t(y) = 2*y. Determine t(a(x)).\nAnswer: -22828*x**2 + 2*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + -3 + -1 + sqrt(2448) + sqrt(2448)*1*1 + 3)**2.\nAnswer: 9792","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 7631401?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -46523649.6 times -4?\nAnswer: 186094598.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2012 (base 3) to base 16.\nAnswer: 3b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -6*t**2. Let d(h) = -2*h + 6. Let v(j) = -7. Let f(q) = 1. Let a(c) = 6*f(c) + v(c). Let u(i) = -6*a(i) - d(i). Determine p(u(o)).\nAnswer: -24*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -6337 - -6341. What is the closest to 2 in -2\/21, 9, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = s + 10. Let u be v(-7). Let a be 2\/44*(1 - u). Let i = 1.5 - 1. What is the third biggest value in -2, i, a?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -7*x - 2. Let k(h) = -29*h - 7. Let g(s) = -2*k(s) + 9*w(s). Calculate the smallest common multiple of 5 and g(-3).\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*b + 96 = 3*b. Let f be b\/(-40) - (-457)\/5. Let g = f - 55. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 49174.83cm in micrometers?\nAnswer: 491748300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 4, v: 3, e: 2, r: 2}. What is prob of picking 1 e, 2 r, and 1 v?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -3*a + 7. Let f(d) = d - 1. What is -5*f(t) - m(t)?\nAnswer: -2*t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + -4 + 1 + (sqrt(1300) + (2*sqrt(1300))**2 + -3 - sqrt(1300)) + -1.\nAnswer: 5194","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 3b + 28521?\nAnswer: 2855c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*o + 2*o - 4*o + (2*o - 2 + 2)*(-3 + 4 + 2).\nAnswer: 8*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 120 is divided by 66.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 12 - (-2)\/(-2) - 1. Let k = -3 + d. What is the units digit of k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -39*p**3 + 10*p**2 + 5*p. Let f be a(4). Does 65 divide (-3)\/(-1)*f\/(-36)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -209520, -419047, -628574, -838101?\nAnswer: -1047628","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/(o\/(o**0\/o)))**(-30)*(o**4\/o)\/o**(2\/15))\/((o\/(o\/o**(-2))*o)\/(o**(-5)\/o))**(-27) assuming o is positive.\nAnswer: o**(2518\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 310808817?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/102)\/((-11)\/429*-13)?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -81, 53, 415, 1119, 2279, 4009, 6423?\n\"Answer: 19*u**3 + u - 101","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 49 (base 10) to base 14.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 15\/4 of a day?\nAnswer: 90","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 79 in 89.4, -0.4, -1?\nAnswer: 89.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 a factor of 57428?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + -2*-4*sqrt(60)\/(sqrt(72)\/sqrt(6)) + 3)*3.\nAnswer: -3 + 24*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 8694 and 13057254?\nAnswer: 378","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let -10*r**3 - 104*r**2 - 234*r + 180 = 0. What is r?\nAnswer: -6, -5, 3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-17)\/204*24*-14?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = d**3 + 2*d**2 + 4*d + 5. Let s be t(-2). Sort -14, s, 4 in ascending order.\nAnswer: -14, s, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/21? (a) 11\/4 (b) -2\/3 (c) 0 (d) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2453791 to the nearest integer?\nAnswer: 135","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 2*j**3 - 4*j**2 + 3*j + 8. Let r(d) = -d**3 + d + 2. Let w(m) = 6*m**3 - m**2 - 4*m - 9. Let z(a) = -5*r(a) - w(a). Calculate h(c) + 4*z(c).\nAnswer: -2*c**3 - c + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*m - 2*c, m - 2*c = 2*c. Let g be (m - -1) + 3 + 0\/8. Solve 0 = l + 2*s - 3, 3*s - 6 = -g*l + 11 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -14*s - 5. Let m be z(8). What are the prime factors of (-2)\/4 - m\/6?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1b3 (base 16) to base 4.\nAnswer: -12303","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 30*f - 3 - 7 - 7 + 18.\nAnswer: 30*f + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-112)\/(-184))\/(-1 - (-49)\/50). Let r = y - -14923\/414. Find the common denominator of -41\/4 and r.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4451a (base 16) to base 9.\nAnswer: -465766","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 690 minutes before 2:17 AM?\nAnswer: 2:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x = -17*x - 306. Let i = 9 + x. Do -8 and i have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-11))**(1\/8) assuming z is positive.\nAnswer: z**(-11\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 369236 to the power of 1\/2, to the nearest integer?\nAnswer: 608","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 17267223 to the power of 1\/9, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -250\/539 or -1?\nAnswer: -250\/539","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 111.6846ml in litres?\nAnswer: 0.1116846","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 679 - 472?\nAnswer: 207","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -37\/570 and -19\/3125?\nAnswer: 356250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2\/(-6)*15\/(-25). What is the closest to n in -2, 0.1, -2\/19, 4?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -61*z + 302 - 1200 = 2945. Put -2, 4, z, 6 in descending order.\nAnswer: 6, 4, -2, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -7*t - 13. Let g be u(-3). Let r(v) = 7*v - g*v + 3*v. Let f(i) = -12*i + 9. Let b(o) = -o + 1. Let p(k) = 24*b(k) - 3*f(k). What is r(p(s))?\nAnswer: 24*s - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 27*c - 52*c + 25*c - c.\nAnswer: -c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -i**3 - 37*i**2 - 111. Give y(-37).\nAnswer: -111","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 776 divided by -29.\nAnswer: -776\/29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 6019 + -6016. Suppose 2*q + 32 = 3*q. Let x = -22 + q. Solve -i + f*i = x for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 103 and 52051?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -35.6 - -0.2?\nAnswer: -35.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/13)\/((-1)\/715*11)\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 14326 (base 9) to base 14.\nAnswer: 37a0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w when two letters picked without replacement from fwfw?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*m - 4*w + 374, 4*m - 2*w - 708 = -0*w. Let s = m - 3041\/17. Let c = -6 + 10. What is the third biggest value in 3\/5, c, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 692 minutes before 8:39 AM?\nAnswer: 9:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 1 x when two letters picked without replacement from tynyyhyx?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 o when three letters picked without replacement from aoaoaoaaaaa.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d**(-4\/3)\/d*d*d\/d**11*d)\/(d**(-24)\/((d*d**(-42))\/d)) assuming d is positive.\nAnswer: d**(-82\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 678253734?\nAnswer: 2, 3, 37, 41, 59, 421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -34307, -68615, -102923, -137231, -171539?\n\"Answer: -34308*g + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 117, 231, 345?\n\"Answer: 114*r + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-7)\/((-1)\/(12\/(-66)) - 5). Let h(n) = n**2 + 15*n + 16. Let q be h(w). Solve 2*x + q*p = 1 + 3, 3*x - p - 14 = 0 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 83602.92l to millilitres.\nAnswer: 83602920","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 8950 and 371990.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 33833?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(90)\/sqrt(36))\/(sqrt(15)\/(sqrt(12)\/sqrt(4))).\nAnswer: sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 2 u when three letters picked without replacement from {q: 8, r: 1, u: 2, d: 7}?\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/16, 1, -2217\/481 in decreasing order.\nAnswer: 1, -1\/16, -2217\/481","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = v - 3*q, 5*q - 17 = -3*v + 22. Let k(a) = 0*a + a**3 - 2*a**3 - v*a**2 + 4 - 3*a. Does 14 divide k(-8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + -3*(sqrt(1700) + 0) + 0 - (4 + ((-2*sqrt(153))**2 + -2)*5).\nAnswer: -3056 - 30*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 5*c + 385 = 6*u, 0 = 3*u + 3*c - 282. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18413 at least as big as 18413?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 616.\nAnswer: 2, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 13\/4 of a litre?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22979*s - 6410*s - 11261*s + 6467*s.\nAnswer: -34183*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 327, 342, 379, 450, 567?\nAnswer: 742","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -8, -25, -76, -179, -352, -613, -980, -1471?\nAnswer: -2104","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 12 divided by 224889\nAnswer: 4\/74963","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 7\/((-14)\/4) + -1. Let g(p) = -p**3 + 3*p**2 + 2*p - 2. Let h = -1431 - -1455. Calculate the remainder when g(o) is divided by h.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 33 + (-320)\/16 + -7?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -928, -953, -978, -1003?\nAnswer: -1028","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 133 is divided by 46?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((63\/84)\/((-3)\/8))\/((-2)\/(-4)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12848977 is divided by 793?\nAnswer: 791","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 2*r**2. Let p = 6131 - 6129. Let h(o) be the first derivative of 0*o**p + 0*o + 6 - 11\/3*o**3. Calculate v(h(n)).\nAnswer: 242*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - 1 = -3*z. Suppose -5 + 40 = 7*n. Let q(y) = -n + z + 4 - 2*y. Determine q(-4).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((15\/500)\/(48\/128))\/((-12)\/(-20)).\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w - 10 + 14 = 0. Let a(g) = -2*g - 2. Let f be a(-2). Factor -t**f + 0*t**2 - w + 2.\nAnswer: -(t - 1)*(t + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 35 - -3 - (0 + 0). Factor -c*z + 2*z**2 + 64 + 2*z**2 + 6*z.\nAnswer: 4*(z - 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 1, i: 1, d: 2}. What is prob of sequence id?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 26693 is divided by 225?\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, 0.06, 3585.\nAnswer: 0.06, 0.2, 3585","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 171511 (base 9) in base 2?\nAnswer: 11001111010001000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -r + 0*r - r + (4 - 2 - 1)*(0 + 2*r + 0) + 1 - 1 - r - 5*r + 0*r + r - 4*r + 3*r + 2*r + (-3*r - 2*r + 4*r)*(0 + 0 + 2).\nAnswer: -6*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-54)\/36)\/((-2)\/48). Suppose -z + 2*v = v - 8, -5*v - t = -4*z. What is the units digit of z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-16)\/(-6) - 4\/6. Let v(n) = -7*n - 12*n - 2*n**q + 19*n. Let z(d) be the third derivative of d**5\/60 + 2*d**2. Determine v(z(c)).\nAnswer: -2*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find w, given that 2*w**5\/15 + 114*w**4\/5 + 2632*w**3\/15 - 15096*w**2\/5 + 7776*w = 0.\nAnswer: -162, -18, 0, 4, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 458*q**2 - 160*q**2 - 165*q**2 - 152*q**2.\nAnswer: -19*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*(sqrt(114) + sqrt(114) + sqrt(114)*-1) + sqrt(114) + sqrt(114) - sqrt(114))\/sqrt(6) + -3)**2.\nAnswer: -18*sqrt(19) + 180","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 56074 to the power of 1\/2, to the nearest integer?\nAnswer: 237","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 18*p**3 + 13*p**2 - 761*p - 743. Let a(i) = 3*i**3 + 2*i**2 - 127*i - 124. Let f(z) = -13*a(z) + 2*s(z). Suppose f(c) = 0. What is c?\nAnswer: -6, -1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8 - -393)\/(-35) - (-757)\/69.\nAnswer: -2\/69","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -0.166 (b) 5 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 201.5 - 202. Which is the third smallest value? (a) 11 (b) 6 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 55*f - 206*f + 54*f + 46*f - 7 + 49*f.\nAnswer: -2*f - 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -3*l - 7. Let n be u(-3). Suppose 0 = -q + 2*b - 3, 3*q = -n*q + 4*b + 9. Let t(p) = p**3 - 4*p**2 - 8*p + 6. Calculate t(q).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -111 + 45*b - 9*b - 18*b - 8*b. Let k be d(11). Which is greater: k or -4\/31?\nAnswer: -4\/31","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in -2\/3, 0, -2, -1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -s**3 - 17*s**2 - 18*s + 7. Let g be q(-16). Determine p, given that 12 - 29*p - 10*p**4 - 17*p**3 - p**3 - 7*p + g*p**2 + 13*p**4 = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-12)\/90*10\/6?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (a + 1 - 1)*(-3 + 1 - 2)*(4 - 5 - 2).\nAnswer: 12*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.4? (a) 306 (b) 0.01 (c) 2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:06 AM and 12:52 PM?\nAnswer: 646","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 44*o**2 + 31*o + 271. Is 95 a factor of d(-11)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 208313431.\nAnswer: 4391, 47441","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 23\/4 and -65\/106.\nAnswer: 212","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 v when two letters picked without replacement from {v: 2, i: 8}.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 10556891 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*q**3 + 3*q**3 - 2*q**3 - 2*q**2 + (8*q**3 - 4*q**3 + 7*q**3)*(-6 + 3 + 4).\nAnswer: 12*q**3 - 2*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 161 = -5*s - 2*a + 530, 0 = 5*s - 5*a - 390. Calculate the remainder when s is divided by 13.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -217412 (base 8) to base 9.\nAnswer: -121716","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.79 - -1.21. Which is the third smallest value? (a) x (b) -0.24 (c) 6\/11 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 34 = -11. Let l = s + -14. Let a = 25 - l. Calculate the lowest common multiple of a and 6.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9548731 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-12 - 3*c**2 + 12)*(c**2 - 2*c**2 + 0*c**2) + (2*c**2 + 4*c**2 - 4*c**2)*(c**2 + c**2 + 0*c**2).\nAnswer: 7*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = -5*x - 0*o + 15, 0 = -2*x - 4*o + 6. Let j be (3 + 2 + -3)\/(3\/9). Suppose 0 = 4*u + j*u - 40. What is the lowest common multiple of u and x?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(153) + sqrt(153) + 0) + 0 + sqrt(153) + -2 + sqrt(153) + ((1 + sqrt(153))*-2 + sqrt(153) - sqrt(153))*-3)**2.\nAnswer: 480*sqrt(17) + 61216","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.05? (a) -6800 (b) 5 (c) -2 (d) 11.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 5157 and 27.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 362449080 divided by -111867.\nAnswer: -3240","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -69.5681 rounded to the nearest ten?\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -4*x + 1 + 2*x + 2*x**3 + x - 3*x**3. Let v(h) = -2*h**4 + 3*h**3 + 3*h - 4. Let f(t) = -3*a(t) - v(t). What is the first derivative of f(g) wrt g?\nAnswer: 8*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -32694 - -32702. Solve -7*f + c*f = 5*s - 11, -10 = 2*s - 4*f for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 - 15*h**2 - 6 - 32*h**4 + 9*h**2 + 4*h**2 + h**3 as n*h**3 + w + l*h**4 + c*h + x*h**2 and give l.\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 3*h**2 + 3*h - 7. Suppose 29*g - 24 = 23*g. Let a be c(g). Sort 5, 1, a in decreasing order.\nAnswer: a, 5, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) be the first derivative of q**7\/189 + 2*q**6\/135 + q**5\/90 + 13*q + 7. Let p(a) be the first derivative of f(a). Factor p(y).\nAnswer: 2*y**3*(y + 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -755, -675, -543, -359, -123, 165, 505?\n\"Answer: 26*d**2 + 2*d - 783","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -2, 1\/3, 3\/5, -0.329?\nAnswer: -0.329","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(342)\/(-2*sqrt(9)))\/(sqrt(2) - (sqrt(2) + sqrt(128)*-2) - sqrt(2)).\nAnswer: -sqrt(19)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*f**5 + 1653*f**4 - 120*f**2 + f + 14?\nAnswer: 180*f**2 + 39672*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 12023?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-8)\/12)\/(2\/(-15)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 496 minutes before 8:36 PM?\nAnswer: 12:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.1469 - -38.1469. Let k = -13.1 - -13. What is the nearest to k in j, 2\/5, 2?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -7 and -7 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1700) + sqrt(1700) + (sqrt(1700) - (sqrt(1700) + 2)) + (-3*(sqrt(17) + -5))**2 + 4.\nAnswer: -70*sqrt(17) + 380","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 divided by 13934?\nAnswer: 3\/13934","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -51, -99, -133, -147, -135, -91, -9, 117?\n\"Answer: n**3 + n**2 - 58*n + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -998166 or -7985325\/8?\nAnswer: -7985325\/8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -6*j**2 - 72*j + 26. Calculate k(-13).\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-5)\/5 + 3)*1. Solve 0*v - x*v - 7 = c, 2*v + 2*c = -12 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 2048038.29ms?\nAnswer: 0.023704146875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 64 a factor of 1282?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 715*l*r**2 - 3*l*r + 50*l + 2*r - 73 wrt r.\nAnswer: 1430*l*r - 3*l + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -50 + 67. Let u be (-4)\/10 + 6\/(-10). What is the remainder when v is divided by -1 + u*5*-2?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4014014244 (base 5) to base 6\nAnswer: 442253324","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*q + q**3 - 6*q)*(9*q**2 - 20*q**2 + 4*q**2) - 2*q**5 + 0*q**5 + 0*q**5 + (0*q**2 + 0*q**2 + 2*q**3)*(-2*q**2 + q**2 + 3*q**2).\nAnswer: -5*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) be the first derivative of 47*i**4\/6 - 74*i**3\/3 - 122*i - 155. Let h(r) be the first derivative of t(r). Find the second derivative of h(a) wrt a.\nAnswer: 188","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 0 + s**4)*(11 - 13 - 20)*(-2 - 1 + 2) + 28*s**3 - 150*s**4 + 5*s**3 + 149*s**4 to g*s**4 + v*s + o*s**3 + x*s**2 + i and give o.\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = k - 3. Let s = -1 + 7. Let p be r(s). Suppose -5*i + 46 = -p*i. Solve -4*o + 2*n = -4, n + n - i = -5*o for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 3*c - 17 = -2*c, 0 = -5*q + 2*c + 19. Solve 0 = q*t + 5*m + 10, 5*m = -4*t - 23 + 11 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10020 - 11000?\nAnswer: -21020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + -32 - (52 - 67).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*g - 4*g + 5*g + (-3*g + 7*g - 18*g)*(2 + 1 - 2).\nAnswer: -10*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -1 + -3 - 30\/(-5). Let l(b) = b**2 + 0*b**2 - x - 12*b + 1 + 10*b. Suppose -5*p = -8*p + 15. Determine l(p).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = o**3 + 12*o**2 - 6*o - 12. Let v be k(-12). Let w be 4\/(8\/(-14))*v\/(-21). Solve 9*f - 5*f - w = 0 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yyykuukdkydkk. Give prob of sequence kd.\nAnswer: 5\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -44 - -36.9. Let y = 7 + b. Let q = 601 - 600.7. What is the nearest to q in -0.5, -2\/3, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 1076 = -5*n, 379 = 3*n - p - 270. Suppose -2*z = 7*z - n. What is the greatest common divisor of z and 64?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 44 = -f. Is f a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27750031 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b + 5030 = -5*k + 6*k, -2*k + 4018 = -4*b. Let o = b - -1839. Is 52 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/4 in 2\/13, -0.2, 0.3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xcxccyyyfbc. What is prob of picking 1 f and 1 y?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1829*m**2 + 2535*m wrt m?\nAnswer: -3658","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 707 + -664. Calculate the remainder when w is divided by 16.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 2*v**2 + 36*v - 4. Determine h(-18).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -28*z + 26. Let m(u) = 14*u - 12. Let g(t) = -13*m(t) - 6*x(t). Let s(l) be the third derivative of l**5\/10 + 6*l**2. Determine s(g(k)).\nAnswer: 1176*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*a + 96 - 283 = 0. Calculate the highest common divisor of a and 913.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 86.7 - 86.4. Which is the nearest to 27? (a) 5 (b) z (c) 3 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 11*f. Let y be s(1). Suppose -5*q + 57 = 2*k, -7 = -2*q - 2*k + y. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-15)\/(-12))\/(3\/996). Suppose -b - o = -5*t, 3*t + 5*b = 2*b + 231. Let r = t + -47. What are the prime factors of r?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 185 is divided by 23 + ((-24)\/12)\/(2\/6)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -58 times 34.6?\nAnswer: -2006.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 8.0979 - 8.17. Let s = z - 69.1279. Round s to the nearest ten.\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 18\/(-63) - (-632)\/7. Let v = 94 - r. Suppose -81 = -v*p - 25. What is the highest common divisor of 238 and p?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gjg when three letters picked without replacement from {j: 2, g: 11}?\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 5*j + 20 = 0, -4*x + 4*j = 6*j - 34. Let n(y) be the first derivative of y**2\/2 - 10*y - 283. What is n(x)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1140 = 13*s - 9*s. Suppose 5*d - s = -0*d. What is the remainder when d is divided by 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 83263 and -1.\nAnswer: 83262","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (6 - (-12 + 7 - -17)) + 6\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v + 3*t - 15 + 23 = 3, t - 1 = v for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1297 - -2546. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 1 and -867\/111007 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 2391.461 hours?\nAnswer: 8609259600000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1586259*s**2 - 1262256.\nAnswer: 3172518*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2\/9 - 11\/9. Let b be o\/2*4*1. Sort -5, b, -1 in descending order.\nAnswer: -1, b, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 2*c + 0*c - 4*c. Let o(z) = -z. Let n be o(-2). Let x(b) = 2*b + n*b - 2*b - b. Calculate x(h(w)).\nAnswer: -2*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = q**3 - 7*q**2 - 8*q + 7. Let m be c(8). Suppose -o = -m - 19. Let a be (-1)\/4 + o\/8. Solve -a*p = 2 + 10 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) be the first derivative of -2*t**3\/3 - 75. Let v(i) = -2*i - 56. Determine u(v(l)).\nAnswer: -8*l**2 - 448*l - 6272","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -8*g**2 + 1154*g - 2322. Give t(2).\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 291711870 and 20?\nAnswer: 583423740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 59889010?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m - m + 2*y = -34, 0 = -m + 5*y + 4. Let f(u) = 8 - m - 4 + u + 8. Give f(-7).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 2 d when three letters picked without replacement from gjddjddjgdddjd?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1.342 - 5.342. Let i = 43.7 + -44. Sort 1\/2, i, -4\/19, a.\nAnswer: a, i, -4\/19, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -2*a**3 + 16*a**2 + 21*a - 22. Let r be o(9). What is the second derivative of 26*w**3 - w**r - 130 + 121 + 2*w**5 + 6*w wrt w?\nAnswer: 20*w**3 + 156*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -3256, -3199, -3142, -3085, -3028, -2971?\n\"Answer: 57*v - 3313","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(396) + 0)*2 - sqrt(396).\nAnswer: 6*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 10*s**2 + 53*s - 52. Let f be m(1). Solve f*o - 8*o + 5 = -4*l, -l + 3 = 5*o for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -10144574968375\/6348 + 1598074185. Let o = m - -17\/529. Find the common denominator of -73\/44 and o.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/24*16\/(-120)*20.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + -1.2541?\nAnswer: -4.2541","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 97\/132360 and -131\/186.\nAnswer: 4103160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand -s**3 - 3*s**3 - 2*s**3 + (0*s + 3*s + 0*s)*(-2 + 2 + 2*s**2 - s**2 - 8*s**2 + 0*s**2 + (5 - 3 - 1)*(22 - 22 - 9*s**2)).\nAnswer: -54*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3 - 1. Let x = -1.3 + 1. Let k = -1.6 + 1.1. What is the third biggest value in a, k, x?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 4 - 2*b)*(2 + 2 - 5).\nAnswer: 2*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 0 + (5\/(-5) - -3) + 84. Let d = 687\/8 - j. What is the second biggest value in 2\/17, d, 29?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 378521 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -35.37 + 36. Round l to 1 decimal place.\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 91*i + 4*i**2 - i**3 - 42*i - 55*i + 5 - 10. Calculate f(4).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - 16 = 4*y, 4 + 0 = -y + x. Let w be -3*y\/6 + 609998. Round w to the nearest one hundred thousand.\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1273 divided by 516\nAnswer: -1273\/516","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*p**3*x**4 - 140*p**3*x**3 + 3*p**3*x**2 + p*x**3 + 41*x**2 wrt x.\nAnswer: 48*p**3*x - 840*p**3 + 6*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -4220*o**3 - 4810?\nAnswer: -12660*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 624325?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 f and 1 z when four letters picked without replacement from {f: 18, z: 1}.\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 4057 to the power of 1\/3, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + 2*(1 + 1*(2*sqrt(108) + 2 + (sqrt(108) - sqrt(108)*1) + 2 + sqrt(108)) + 2))**2.\nAnswer: 648*sqrt(3) + 3969","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*y**4 + 3*y**4 - 2*y**4 + (-7*y + 12*y + 6*y)*(-2*y + 0*y + 3*y)*(-y**2 - 2*y**2 - y**2).\nAnswer: -43*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4094 is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 + x + x**2 - 5 + 0 + 3*x**3 + 0*x**2 to the form o + i*x**3 + w*x**2 + d*x and give o.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.1*228756.\nAnswer: -22875.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -10 greater than -0.19?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -15 (base 15) to base 10.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -58, -74, -94, -118?\nAnswer: -146","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -224 = -37*j - 19*j. Put 0, j, 5, -1 in descending order.\nAnswer: 5, j, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = o**2 + 17*o + 3. Let l be m(-7). Let u be 1 - 5 - l\/16. Is u greater than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 34*v - 267. Determine b(9).\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1221623511?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*f + 3*g + 18, f + 4*f = 4*g - 57. Let r be 2\/(-24)*(-24)\/f. Let i = -30.2 + 30. What is the closest to i in -1, r, -4?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-81)\/(-15) - 4\/10. Suppose -5*o - s*a + 35 = 0, -3 = 3*o - 3*a - 0. Suppose o*f + 230 = f. What is f rounded to the nearest 10?\nAnswer: -120","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - 99*s + 94*s = 16, -5*b + 4*s = -36. Solve -z = -i - 2, 0 = -16*z + 19*z + b*i - 6 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 41.15296 + 0.6.\nAnswer: 41.75296","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 425 is divided by 12?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 21 + -31 + -12 + -5?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is x in 2*x**3\/9 - 1430*x**2\/9 + 50096*x\/9 + 17176\/3 = 0?\nAnswer: -1, 38, 678","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -8 - -13. Let v be (-4 - -1) + (1 - b). Let q = -2 - v. Sort q, -1, 3 in decreasing order.\nAnswer: q, 3, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -413412 (base 12) to base 7\nAnswer: -11454056","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find s, given that 2\/19*s**2 + 9248\/19 + 272\/19*s = 0.\nAnswer: -68","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 11722?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -3 + -52?\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -10110010001 (base 2) to base 13\nAnswer: -858","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*k + 423246 + 2098158 = 0. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1895659 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Add together -4143715889 and 2.\nAnswer: -4143715887","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -1 - 7386*d**2 + 7385*d**2 + 1. Let v(t) be the second derivative of -t**3\/6 - t. Calculate v(w(h)).\nAnswer: h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 12*h. Let m(f) = 55*f**2 + 8*f - 1. Determine m(c(k)).\nAnswer: 7920*k**2 + 96*k - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - (-6 - (-4 + 1 + -2)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d + 34 = 36 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = t**2 + 31*t + 71. What is the units digit of a(-29)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in 1\/2, 9, -1\/7, -4?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 924c - -9?\nAnswer: 9255","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = f. Let p(l) = -4*l - 2. Let z(s) = -2*h(s) - p(s). Let y(a) = 1. Calculate -y(k) + z(k).\nAnswer: 2*k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 92036194?\nAnswer: 2, 46018097","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -a8 + 0?\nAnswer: -a8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 0*k**2 + 58 - 13*k - 18*k + k**2 + 13*k. What is the units digit of p(17)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**2\/c)\/(c*c**0))\/(c*c**(2\/17)*c**(-1\/9))*c**0*c*c**(-3\/4)*(c\/(c**(-2\/5)*c)*c*c*c*c)**(-1\/2) assuming c is positive.\nAnswer: c**(-9047\/3060)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 1990350?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -85427006 divided by -8066?\nAnswer: 10591","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-l - 2*l + l)*(-4*l - l + 4*l)*(503 - 71 + 747 + (-4 + 1 + 1)*(-2 + 3 + 1))*(-5*l + 5*l - l).\nAnswer: -2350*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3404025?\nAnswer: 3, 5, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*k + 17*k = -83200. Round k to the nearest one thousand.\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 51575 and 2450.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 1 + 7*x**2 - x + x**3 - 8 + 5*x. Let g be u(-6). Let m(f) be the third derivative of f**6\/120 - f**5\/15 - f**4\/4 + f**3 - f**2. Calculate m(g).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(-2\/21)*c**(3\/7)\/c*(c**0\/c*c)**12 assuming c is positive.\nAnswer: c**(-2\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 48? (a) -4 (b) -0.9 (c) 650\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 3*b**2 - 20*b - 9. Calculate j(7).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 483840 and 2240?\nAnswer: 483840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1691 + 1693. Solve -5*h + 4*p + 7 = 0, -2*h + p = d*h + 1 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1.04 + -0.766. Round a to two decimal places.\nAnswer: 0.27","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*v**3 - 3*v**3 + 2*v**3)*(8*v - 6*v + 11*v) in the form y*v**3 + h + q*v**4 + b*v + l*v**2 and give q.\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 596 and 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (30 - 12) + (-2 - (3 + -1)).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 8320896 and 30756?\nAnswer: 2796","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 * -88\nAnswer: -8.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 110200111020 (base 3) to base 5.\nAnswer: 30442200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.32 - 0.12. Let n = s - -0.04. Let y = 1\/15 - 43\/195. What is the third smallest value in y, -1\/2, n?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 220.4, -11, -3\/2 in ascending order.\nAnswer: -11, -3\/2, 220.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*s - 44*s - 34*s - 8*s.\nAnswer: -96*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t = 2*g - 29, 0 = g - 3*t + 2*t - 7. Find the third derivative of 85*q - 85*q - 18*q**3 - 9*q**g wrt q.\nAnswer: -108","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*s**2 - 17*s**2 + 334 - 334 + 13*s**2.\nAnswer: s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.5407*-4.\nAnswer: -2.1628","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12183 (base 15) to base 14.\nAnswer: -17071","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 9 + 2. Suppose 5*j + 0*h = -3*h + v, 0 = j - h - 7. Suppose -j*d = d - 5. What is the units digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 903\/5 + -180. What is the closest to y in 2\/5, 0.3, 5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -18225 + 18229. What is the closest to 137 in g, 4\/7, 2\/9, 4\/3?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (15\/(-20))\/((-2)\/376). Let c = -139 + r. What is the highest common factor of c and 58?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let r be 12\/(-8)*16*-1. Let t be 2\/(-5) + (-2)\/(-5). Suppose 0*y = 4*y + 8, t = 4*c - 3*y - 38. What is the greatest common factor of c and r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/((-8)\/(-2))*3.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-34)\/102 + (-76)\/(-144) + (-7)\/(-28)?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 6*v**3. Let b(w) be the third derivative of 0*w**3 + 0*w**4 + 0 + w**2 + 1\/120*w**6 + 0*w**5 + 0*w. Let s be (2 + 10\/(-4))*2. Give s*x(m) + 5*b(m).\nAnswer: -m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z - 4*z - 3 = 3*p, -2*p = 5*z - 9 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -154, -9, -4, 26 in increasing order.\nAnswer: -154, -9, -4, 26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 231, 503, 803, 1125, 1463, 1811, 2163, 2513?\nAnswer: 2855","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r = -5*m + 64, 3*m - 21 = -3*r + 6*m. Find the third derivative of -1311 + 1311 + 15*u**2 - r*u**3 wrt u.\nAnswer: -66","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 13952.2 + -13952. Put 0, -4\/7, -2, -59, o in increasing order.\nAnswer: -59, -2, -4\/7, 0, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -6*d**4 - 304*d**3 - 22808*d - 292*d**2 + 2*d**4 + 23408*d.\nAnswer: -4*d*(d - 1)*(d + 2)*(d + 75)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -70 (b) 0.5 (c) 25\/1341\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -w + 2*j - 0*j + 9, 5*w + 2*j - 105 = 0. Suppose -z + w*z = 72. Solve -o + a - 3 = 2*a, -o - z*a = 15 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20 is divided by 12.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 35b5e (base 16) in base 3?\nAnswer: 102011210002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i - 7812 + 7680 = -13*i for i.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + 4 = -0*y. Let r = y + 6. Suppose 2*p = -0*p + 4*j + 426, -4*p - r*j = -792. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 121289 - 1815?\nAnswer: 119474","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -5029 divided by 11280?\nAnswer: -107\/240","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 4*n - 2*b = -7, 4*b = -5*n + 35. Suppose 0 = -3*t - n*a - 11817 + 489, -3*t - 5*a - 11320 = 0. What is t rounded to the nearest 100?\nAnswer: -3800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.17 in -9, 0, -48\/55, 2, -7?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 5 in 1, 0.3, 6\/7?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 338171327?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4077 is divided by 2695?\nAnswer: 1382","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -151, -297, -459, -643, -855?\nAnswer: -1101","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -13 - -16. Suppose 0 = 2*w - 0*k + k - 2, 0 = -2*w - 5*k - 6. Solve j*d - 3*a = 3, -2*a - w = 6 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -142b + -1b3?\nAnswer: -15de","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 553278997 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -872, -860, -796, -656, -416, -52, 460?\n\"Answer: 4*l**3 + 2*l**2 - 22*l - 856","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 190890 to the power of 1\/2, to the nearest integer?\nAnswer: 437","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-20)\/12 - 242\/(-3). Let k(j) = -j**3 + 9*j**2 + 6*j + 11. Let d be k(8). Let l = d - p. Does 25 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-16)\/(-10) + 7 + -8 - 1024\/640.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0*(10\/(-20))\/(1\/1).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -155*k + 4835 - 1580 for k.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -83\/2520576 and -99\/2?\nAnswer: 2520576","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put together -2 and 521238.\nAnswer: 521236","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*x - 6 - 58 = 0. Solve -3*g = -2*k + 2, g - 4*k + 4 = -x*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 3*a + 33 = -0*a, -2*k = -a - 23. Suppose -5*s = 2*j - 21, -k = 3*s - 5*j - 3. Suppose -7 = -2*v - s. What are the prime factors of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -37181 less than or equal to -37181?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 317627 times 117?\nAnswer: 37162359","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3799433?\nAnswer: 11, 47, 7349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -40, -116, -206, -316, -452, -620, -826, -1076?\nAnswer: -1376","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h**4 - 626367*h**3 + 8768547*h**2 + 626367*h - 8768550 = 0.\nAnswer: -1, 1, 14, 208775","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -s**2 + 6*s + 4. Let y be x(6). Let f(k) = 2 - 3 + k - 2*k + 2*k. List the prime factors of f(y).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (6 - 7)*(-3 - 0). Let s = o + 2. Suppose 2*w - 188 = -5*v, s*w + 2*v = -134 + 583. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ssllqeqqlls. What is prob of picking 1 q and 1 e?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (l - 4 + 4)*(2 + 1 - 5 + (-1 + 3 - 3)*(-4 + 2 + 4) - 941 + 455 + 412).\nAnswer: -78*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3425?\nAnswer: 5, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*d + 7*d + 108 = 0 for d.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/((-8)\/30)*4\/6?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10 - -4) + (-2)\/(-1) - 1?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 9753000 to the nearest one million.\nAnswer: 10000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -u**3 - 16*u**2 + 9*u - 62. Let w be q(-18). Let n = w - -556. List the prime factors of n.\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = o**2 - 14*o - 55. Calculate h(21).\nAnswer: 92","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let 3\/2*j**3 - 843\/2*j**2 - 29400 + 29820*j = 0. Calculate j.\nAnswer: 1, 140","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3233 (base 4) to base 14\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 20858195221 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -0.5, -2\/49, 0.2, 1\/23?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 30411024*q + 67375490?\nAnswer: 30411024","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 >= -1\/302289?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.054 + 2213806379?\nAnswer: 2213806379.054","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 12765?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -13 - 41443?\nAnswer: -42011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 48*n - 3*n - 96615. Suppose x + 2*o = 13981, 3*o + 16153 = x + n. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2644293?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -y**2 - 6*y + 3. Let c be z(-6). Let a(j) = 15*j. Let l(u) be the third derivative of -u**4\/24 - 7*u**2. Let n(s) = a(s) + 12*l(s). Calculate n(c).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -758 times -0.05?\nAnswer: 37.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -8*g + 9 - 7*g + 22*g. Let o(h) = 3*h + 4. Suppose s + 3*s = 36. What is s*o(m) - 4*t(m)?\nAnswer: -m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 54 a factor of 231984814?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 23*c**2 - c. Let o(j) = 18*j**2 - 9*j + 33. Let u be o(5). Let r = u - 439. What is h(r)?\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 126554 + -1111017569\/8779. Let g = j - -3634527\/61453. Let c = g - 3781\/56. What is the common denominator of -77\/4 and c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 27*q + 6. Let b(z) = 352*z + 77. Determine 6*b(p) - 77*d(p).\nAnswer: 33*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gessaeggslglggelsg. What is prob of sequence less?\nAnswer: 1\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 495*h**3 + 51*h**3 + 450*h + 204*h + 142*h - 2*h**5 wrt h.\nAnswer: -40*h**3 + 3276*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -65*p**3 - 17090705*p**2 - 1123430871115*p + 86417860445 = 0.\nAnswer: -131467, 1\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 64300.68l?\nAnswer: 64300680","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1178 and 3586762?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 0, 6, 24, 60, 120, 210, 336, 504?\n\"Answer: z**3 - z","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1533 a multiple of 73?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*m**4 - 4880*m**3 + 129215*m**2 - 1044670*m + 2424840 = 0 for m.\nAnswer: -1002, 4, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -15.29 - -15.39. What is the nearest to u in 0.2, -5\/4, -0.3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (4\/(-1))\/(-1)*333\/(-23532)*53\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 47439897 + 16022*g - 47439897 to d + c*g and give c.\nAnswer: 16022","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in -0.2, 4, 28, 5?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-10*1\/300)\/(5\/8))\/(56\/(-336)).\nAnswer: 8\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 8*o**3 - 1304*o**2?\nAnswer: 48","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-6)\/4)\/((-16)\/32). Suppose 5*z + 22 = p*t - 11, 4*z = -2*t. List the prime factors of t.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qe when two letters picked without replacement from bqliiiiqqlielbb?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(208) + 2 + sqrt(208)\/(-1*sqrt(4)) - (5*(-1 + sqrt(1872)) - (sqrt(13) + 2 + sqrt(117) + sqrt(13))*-4)**2.\nAnswer: -83207 - 478*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 2*v**3 - 56*v**2 - 1151*v + 345. What is s(-14)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7386?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 30748 + -30744. Solve -k*x = -42 + 22 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange t**3 - t**4 + 1 + 3 + 2*t - 5 + t**2 to the form f*t**3 + u*t**4 + x*t**2 + g + b*t and give b.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 6000\/13 or 1?\nAnswer: 6000\/13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11*(-16 - 2314\/(-143))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-75)\/30*((-1056)\/270 - -4).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -25 - -32. Suppose q*a + 0 = 49. Let f = 4 + a. Does 6 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.218 + -104.782. Let v = 105.1 + m. Which is the nearest to 0? (a) 9 (b) v (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -101.6 - -102.1. Let i be 1 + -1 - (-2)\/(-7). Let d = -14 + 6. Which is the smallest value? (a) i (b) d (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0 (b) -2\/27 (c) 5 (d) -0.3 (e) -4\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -273, -572, -941, -1416, -2033, -2828?\n\"Answer: -6*j**3 + j**2 - 260*j - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 71 - 70. Let n(k) = -10*k**2 + k. Determine n(h).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-249)\/(-747))\/(((-6)\/27)\/(96\/(-63))).\nAnswer: 16\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 1. Let m(x) = -x**2 - 4*x + 6. Let p be m(-5). Let y(w) = -2*w + 6. Calculate p*y(r) - 3*q(r).\nAnswer: -2*r + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1467.9 rounded to the nearest one hundred?\nAnswer: 1500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 213003?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 652524266294+-1\nAnswer: 652524266293","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by -27?\nAnswer: 1\/27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 - -9 - (1 + 4).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -215*i + 72. Let y(c) = 5*c - 1. Let u(x) = -5*y(x) + z(x). Find the first derivative of u(m) wrt m.\nAnswer: -240","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-6)\/(-9) + (-10)\/(-3). Suppose 2*g - 5*w = -7 - 2, q*w = 20. Suppose -6*t + g = -2*t. Solve 3 - t = -a for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -3*f - 3. Let w(h) = h**3 - 9*h**2 - 11*h + 7. Let k be w(10). Let g = k + 0. Let z be 2\/(-6) + 8\/g. Calculate a(z).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -j**4 - j**2 - 2*j. Let y(o) = -2*o**4 - 44*o**3 + 126*o**2 - 48*o - 216. Let x(a) = -6*g(a) + y(a). Factor x(h).\nAnswer: 4*(h - 6)*(h - 3)**2*(h + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/23, -0.3, 5, -19, 0.1 in decreasing order.\nAnswer: 5, 0.1, -2\/23, -0.3, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 163\/3 - 53. Let s = -54 + 90. Let x = s + -32. Which is the fourth smallest value? (a) 0 (b) x (c) m (d) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = -3*g - 2*g + 15, 0 = 3*v. Solve 0 = -8*d + g + 13 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 650035?\nAnswer: 5, 29, 4483","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 42917438?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*u + 85246952 = -9690348. Round u to the nearest one hundred thousand.\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.89418ng in micrograms?\nAnswer: 0.00189418","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = d**3 - 7*d**2 - 9*d + 21. Determine c(8).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) -3\/7 (b) -4 (c) -0.3 (d) -0.08\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 60772, 60768, 60764, 60760?\nAnswer: 60756","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -904*b + 1806*b - 885*b.\nAnswer: 17*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z*z**(-5))\/z)\/z*z)\/z*z*z**(1\/2)*z*(z**(-3)*z)**(-15\/2) assuming z is positive.\nAnswer: z**(23\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*f + 0*f - f)*(39 - 24 + 8 + 42).\nAnswer: -65*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 31*p**3 - 34143*p + 68330*p - 34048*p - 1 to the form y*p + i*p**2 + r + w*p**3 and give r.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 133361*o = 133357*o + 68 for o.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -20.6371 - 6.0119. Let w = -24.96 - i. What is w rounded to one decimal place?\nAnswer: 1.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1680 and 16176?\nAnswer: 566160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 112 - -1120221310?\nAnswer: 1120222022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 25*l**2. Let w = -40 - -28. What is the remainder when -1 + (-14)\/w + (-8303)\/(-114) is divided by j(1)?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 7488 * -0.5.\nAnswer: -3744","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -13 - (-36 + 10) - (25 - 2)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -893998*f**3 + 3*f**2 + 13*f + 11. Is c(-1) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1)\/7 + 464\/112. What are the prime factors of (i - 61\/(-2))*2?\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2508, -2509, -2510, -2511, -2512?\nAnswer: -2513","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 29 + -17. Let t = -7 + a. Let m = 68 - 36. Solve 0 = p - 2*s + 10, 5*p - t*s = -s - m for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -40.8 + 41. Let h = 0 - 0.2. Let i = h + 0.3. Which is the nearest to i? (a) n (b) 4 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (548\/685)\/((-144)\/20)\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -202222000222 + 11?\nAnswer: -202222000211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in three tenths of a litre?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aaaj when four letters picked without replacement from {a: 5, j: 3}?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-26*a - 1 + 13*a - 29*a)*(-a + 18*a - 2*a) to o*a + c + x*a**2 and give o.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -2*u**2 - 2*u + 4. Let a be l(-3). Let w = 6.73 + -6.63. Which is bigger: a or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2247 + 352 - 3424 - 2382 - 7116)*((2 + 3 - 4)*(-5*y + 3*y + y) + 5*y - 3*y + 0*y).\nAnswer: -10323*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 222593.\nAnswer: 7, 31799","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -401, -441, -479, -515, -549, -581, -611?\n\"Answer: h**2 - 43*h - 359","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -20 - -42. Let i = a - 10. What is the units digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) be the second derivative of s**7\/5460 - s**6\/1170 + s**5\/780 + s**3\/2 - 11*s**2\/2 - 41*s. Let w(v) be the second derivative of a(v). Factor w(f).\nAnswer: 2*f*(f - 1)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2 (b) 8 (c) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -u**2 + 2*u - 3. Let s(c) = -c**2 + c - 2. Suppose -4*v = -2*x - 6, -22*x + 18*x + 36 = 4*v. Calculate v*r(y) - 6*s(y).\nAnswer: 2*y**2 + 2*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -8678.5531 + 8670.5. Let y = 0.0531 + m. Which is the fourth biggest value? (a) 0.2 (b) -1\/2 (c) y (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1\/1*-5*3. Let f(j) = 2 - 3*j**2 - 3 - j**2 + 5*j**2 + 2*j + 0. Is f(k) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Sort -540, 5, 920, -5 in decreasing order.\nAnswer: 920, 5, -5, -540","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -182105295 plus -33206?\nAnswer: -182138501","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 2865097 a multiple of 81?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 2\/15, 0.2, -0.01, 3, -626.\nAnswer: -626, -4, -0.01, 2\/15, 0.2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -322, -640, -956, -1270, -1582, -1892, -2200?\nAnswer: -2506","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-2\/3)*((q\/q**(-24\/11)*q)\/q)\/q)\/(q*q\/(q*q\/q**(-5\/8)))**(1\/19) assuming q is positive.\nAnswer: q**(7765\/5016)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41*n + 38*n = -9. Solve 0*p = -n*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 3*p - 3. Let l be x(2). Let y be 2 + (-7)\/l + -1. Let j be (2 - 1)*(-5)\/10. Is y less than or equal to j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - (-1 - (-4 + 3 + 2))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 310 minutes after 5:49 AM?\nAnswer: 10:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 3*y**3 - 5*y**2 - 7*y - 5. Let a = 9 + -12. Let c = 6 - 13. Let m(r) = 4*r**2 + 3*r - 2*r**2 + 3 - 1 - r**3. Give a*l(g) + c*m(g).\nAnswer: -2*g**3 + g**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*((-1 + -2 + -1*sqrt(112))**2 + ((1 + sqrt(112))*2 - -4*sqrt(112)*-1)**2)*-1.\nAnswer: -573 + 8*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from osoyphoyyyohys. Give prob of sequence soy.\nAnswer: 5\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is (86\/(-8))\/(8\/(-32)) a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*c - 4*c + 3*c)*(c - 2*c + 3*c)*((-c**2 + 6*c**2 - 4*c**2)*(-3 + 0 + 2) - 2*c**2 + c**2 + 10*c**2) as v*c**4 + y*c + m*c**2 + k + o*c**3 and give v.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -5*l**2 + 7*l + 6. Let m(t) = 9*t**2 - 15*t - 12. Let y(f) = -4*m(f) - 7*p(f). Let w be (9\/(-15) + 104\/65)*11. What is y(w)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -72, 20.2, 0.1, 5?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -168 (b) 2\/15 (c) 7150 (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 2*w + 5 - 2*w - 4*w + 5*w. Calculate l(7).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -2306*q**3 - 3*q**2 + 2*q - 5. Let h be m(-3). Suppose 5*y - h = -19889. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 303221212122 - 2?\nAnswer: 303221212120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-82)\/(-5) + 4\/(-10). Let q be 3 - 2\/((-4)\/(-6)). Suppose f - s - 9 = q. What is the highest common divisor of f and 10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -68*y + 409732 - 407828 = 0 for y.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 307.0442 + -0.0442. Let t = v + -306.99999859. Round t to seven dps.\nAnswer: 0.0000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = b**3 + 154*b**2 - 240*b - 13175. Determine w(-155).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1566*v + 202*v - 30056 = 0 for v.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) be the third derivative of z**5\/60 + z**4\/8 + z**2 + 78. Find a, given that x(a) = 0.\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 12? (a) 3 (b) 14 (c) 6.1 (d) 2\/13 (e) 9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 3, w: 8, x: 2, f: 7}. What is prob of sequence xf?\nAnswer: 7\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (0 - (-1 - -8)) + -2. Let h = -4 - u. Suppose h*v = 26 - 11. Which is the nearest to v? (a) 2 (b) 2\/7 (c) 2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2411.54 to the nearest ten.\nAnswer: 2410","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b + 4 = -4*p, 2*p - 4*b + b - 14 = 0 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -8? (a) -0.9 (b) -8\/11 (c) 3\/2 (d) -708\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 198*y**2 - 16*y - 125. What is the hundreds digit of h(-6)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 4*g + 5. Let l be c(7). Let p = l - 6. What is the remainder when 51 is divided by p?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*((sqrt(104)*1*-4*2)\/(-2*sqrt(56)\/(sqrt(7) + sqrt(7)*-4)))**2.\nAnswer: 11232","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/5? (a) -2\/11 (b) -0.09 (c) 0.2 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15262430?\nAnswer: 2, 5, 17, 89779","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 413 + -385 + (-2 - 19)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1220211 (base 3) to base 13.\nAnswer: -838","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 9*n - 3. Let x be u(-3). What is the remainder when 48\/9*x\/(-8) is divided by (-1)\/(-2) - 26\/(-4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-1050)\/(-20))\/(-21))\/((-104)\/(-39)).\nAnswer: -15\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 428 a factor of 565388?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b523 (base 12) to base 13\nAnswer: 8cb8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -9*f + 27*f - 17*f. Let m(b) = -5*b**2. Give o(m(c)).\nAnswer: -5*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 364\/104*4\/(-7).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.41 times 129?\nAnswer: -52.89","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -21 divided by 426\nAnswer: -7\/142","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 0 + 0 - 1 - -1. Suppose 8 = -t*c + 2*c. Suppose -6*i + 2 = -4. Sort c, -1\/4, i in descending order.\nAnswer: c, i, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -65*w**3\/6 - w**2\/6.\nAnswer: -w**2*(65*w + 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 2*i**3 + 8*i**2 + 3*i. What is n(-2)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -2, -5679, -6, -4 in decreasing order.\nAnswer: 1, -2, -4, -6, -5679","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-7)\/t**(-2\/7))\/((t*t**8*t)\/((t\/t**4)\/t)) assuming t is positive.\nAnswer: t**(-145\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -16, -51, -132, -277, -504, -831, -1276?\nAnswer: -1857","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 1\/3, -0.06, 784, 1?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 71.1 and -0.7795?\nAnswer: -55.42245","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 43, 4\/301, -1\/11, -46 in ascending order.\nAnswer: -46, -1\/11, 4\/301, 43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -1 (b) 4 (c) 2 (d) -5 (e) 13\/41\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iif when three letters picked without replacement from qsvfqfquqsusiiu?\nAnswer: 2\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -3989 at most as big as 7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*3*(-1 + sqrt(3)).\nAnswer: -3 + 3*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:38 AM and 5:06 PM?\nAnswer: 688","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -134.755 to the nearest ten.\nAnswer: -130","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(1331)*4 - sqrt(1331))**2 + sqrt(1331).\nAnswer: 11*sqrt(11) + 224939","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18668046 is divided by 18667983?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 51*n - 41831 = -16715 + 30984. Which is bigger: n or 1098?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -2\/5, 1, -2, -3, 1\/2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -323 + 331. Suppose 60 = 22*o + k*o. Solve -o*m + 4*d = 18, 3*m - 2*d = -10 - 5 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 2 + 9*v**3 - 23*v**3 - v**2 + 15*v**3. Let c be z(2). Let p(s) = -2*s + 4. Determine p(c).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o - 3*u = u - 43, 4*o = -3*u + 35. Let v(p) = -p**3 + 11*p**2 - p + 15. Let g be v(o). Suppose 92 = g*k + 20. List the prime factors of k.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -46 + 375*r**2 - 361*r**2 + 544*r + 6.\nAnswer: 14*r**2 + 544*r - 40","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (15 + 162)*(-1)\/(-3). Suppose 0 = -13*d - 20 + q. Solve -d*o + 1 = -5 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*o - 2*m + 206, 0 = 5*o - 2*m - 3*m - 295. Let p = 78 + -113. Let u = p + o. What is the units digit of u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 8, h: 9, u: 2}. Give prob of picking 1 d and 3 h.\nAnswer: 56\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find b such that -62*b**5 - 7308*b**4 + 187254*b**3 - 671692*b**2 + 552288*b - 60480 = 0.\nAnswer: -140, 4\/31, 1, 3, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 707*r = -248*r + 286*r - 9366 for r.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -4, -127968, -170.\nAnswer: -127968, -170, -4, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 8435 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 87\/46 and -89\/6514?\nAnswer: 149822","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*d**2 - 3*d + 11*d + 2 + d - 5*d - 2*d**3 to the form m*d**3 + w + p*d**2 + i*d and give p.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-8)\/((-240)\/(-27)))\/(1161\/7740).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*d**3 - 2*d**3 - 2*d**3 + (-4*d + 1 - 1)*(-d**2 - d**2 + 0*d**2) + 3 - 3 - d**3 + 808*d - 808*d + 55*d**3.\nAnswer: 64*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 66, -5, -0.03, 18 in descending order.\nAnswer: 66, 18, -0.03, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*u - 3*o + 4 = 9*u, 0 = u - 5*o - 12 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1045\/18 + -58. Let g = n + 112\/9. Find the common denominator of g and 3\/2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 6.711 - 6.211. Which is the second biggest value? (a) -0.3 (b) u (c) -1\/22\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*n - 5*z + 12, 6*z - 2 + 8 = -6*n + 6 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 372?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16929*j + 56617*j + 15398*j + 75291*j.\nAnswer: 164235*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor b**3 - 237*b**2 + 698*b + 936.\nAnswer: (b - 234)*(b - 4)*(b + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -27209 + 182.\nAnswer: -27027","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 882 = s - 3*b, -3*s + 862 = -2*b. Let l = -157 + s. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(468) - 5*-1*sqrt(468)) + sqrt(468) + sqrt(468) - (sqrt(468) - -1*(sqrt(468) + 0 + sqrt(468))) - -3*-3*(-3 + sqrt(468)))**2.\nAnswer: -1296*sqrt(13) + 8217","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*u**3 + 4037*u + 4034*u - 8071*u.\nAnswer: 3*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2\/5 + 115\/25. Let h(s) = -s**2 + 7*s - 5. Let a(g) = 6 - 2 - 15*g + 7 + 2*g**2. Let m(f) = 2*a(f) + 5*h(f). Give m(u).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = h - 6. Let n be s(7). Let g be (0\/n)\/(-16 - -15). Suppose 2*d + 3*c - 19 = g, -28 = 3*d - 5*c - 9. Solve 3*a + 2 = d*a for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6556 is divided by 160.\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 558 + -494.2. Round c to the nearest ten.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 2660?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 247556?\nAnswer: 2, 199, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -19291 + 42*o**2 - 42*o**4 - 9*o - 14*o**6 + 19291 wrt o.\nAnswer: -1680*o**3 - 1008*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*i + 66 + 64. What is the greatest common divisor of 26 and i?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 39, -924, -2 in descending order.\nAnswer: 39, 4, -2, -924","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d = 2*a + 37 + 102, 4*d + a = -177. Let v = d - -9. Let i = v - -154. Is i a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 162395 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = a**3 + a**2 + 2*a + 8. Let x be q(-2). Solve 3*d = -2*b + 1, x = -2*b + b + 5*d - 19 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 619, 2222, 4819, 8416, 13019, 18634?\n\"Answer: w**3 + 491*w**2 + 123*w + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 491 minutes before 9:28 PM?\nAnswer: 1:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = 4*z - 3*h, -4*z + z = -2*h - 11. Suppose -18*i + 53 = -19. Solve -z + i = m for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1030058343.\nAnswer: 3, 19, 2007911","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*r = -j + 10, 0 = 14*r - 11*r + j - 8 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.456 and -9.548?\nAnswer: 10.004","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 32 or 529\/17?\nAnswer: 32","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 4\/(2 + (-8 - -7)). Solve -9 = 3*h, 0*a - 2*a = i*h + 20 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 265 and 1219.\nAnswer: 6095","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 32036 - -75105\nAnswer: 107141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 62679191 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4.94 - 5. Suppose 316 = 2*p + 100. Suppose -p*g + 9 = -99*g. What is the third smallest value in g, 0.4, 2, a?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 343.0084 litres?\nAnswer: 343008.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -2 + 4 + (-84)\/6. Calculate the lowest common multiple of (-231)\/v + 6\/8 and (2 - -2)\/(-1) - -12.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1\/5 of a litre?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10 + 10110001?\nAnswer: 10110011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*y - 676 - 602 + 1270 + 43*y**2 + 2*y**2 + 2*y - 2*y - 2*y**2 + y**2 + 2*y**2 + (-2*y - 2*y + 2*y)*(-2 + 2 - 2*y).\nAnswer: 50*y**2 - 5*y - 8","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 13827 (base 14) to base 7\nAnswer: 260450","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -40321600 to the nearest 100000.\nAnswer: -40300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-p + 6*p - 3*p)*(8 - 2 + 1 + (-263 + 554 - 72)*(-3 - 3 + 4)).\nAnswer: -862*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -q + 51. Suppose o = 2*g - 2 + 28, 43 = 3*o + g. Let j be v(o). Solve 2*l + j - 39 = 0 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7157 is divided by 354?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.2 + 0. Let n = 118 + -117. What is the closest to n in 2, -0.5, j?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -h**3 + 11*h**2 - 12*h + 15. Let w be q(10). What is the smallest value in -0.02, -0.4, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 42 - 18 = 0. Let x = 13 - w. Is x less than or equal to -9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-8)\/10*25\/(-10). Suppose i + y*g = -i - 2, -3*i + 4*g + 32 = 0. Suppose 0 = -5*j - b + 4*b + 745, -i*j + 579 = b. Is j a multiple of 39?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) be the first derivative of -a**6\/6 + 1152*a**5\/5 + a**4\/2 - a**2 - 3542*a - 2185. Find the second derivative of b(s) wrt s.\nAnswer: -20*s**3 + 13824*s**2 + 12*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -h + 10. What is the lowest common multiple of 9 and p(-11)?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b = -152*f + 154*f + 196646, 4*f + 78684 = 2*b. What is the ten thousands digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.5, -132, 3\/8, 7273?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-28)\/(-42))\/((-2)\/(-3))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine d so that -836540*d**5 - 1673085*d**4 - 836550*d**3 - 5*d**2 = 0.\nAnswer: -1, -1\/167308, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out -56259 * 698.\nAnswer: -39268782","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) be the first derivative of -2*g**3\/5 - 6*g**2\/5 - 28. Determine y so that q(y) = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8 + 9 + -8 - (-12 + 8) - (42 + 5)\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -566935767*q**3*y - q**2*y + 4*q**2 - 2*q*y + 63517*q + 192*y + 1 wrt q?\nAnswer: -3401614602*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 3*2 - (3 - 2). What is the derivative of 14*a**3 + s - 3 - 12*a**3 wrt a?\nAnswer: 6*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2740512193 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -30*15\/(-225)*(-9)\/(-3).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -15 - -13. Let l = 10.33 + -10.53. Which is bigger: s or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 56410 is divided by 28188.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 divided by 38299.\nAnswer: 6\/38299","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*g**2 - 81*g - 174.\nAnswer: 3*(g - 29)*(g + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 25390247 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4 + -67. Let d = 63.0059 + n. What is d rounded to 3 dps?\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(1\/9)\/j*j*j**(-1\/8)*j**(-2)\/j**(4\/3))\/(j\/(j\/((j*j\/(j\/j**(-1))*j*j*j)\/j*j))*j**(-2\/5)\/j)**(8\/9) assuming j is positive.\nAnswer: j**(-1717\/360)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7278 + 130*o**2 + 7278 + 187*o**2.\nAnswer: 317*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = c - 1. Let i(s) = -2*s - 1. Suppose 2*n = u + u + 2, -5*u + 13 = n. What is n*z(v) + i(v)?\nAnswer: v - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 8 and 49553072.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 7, y: 2, l: 5}. What is prob of picking 2 l?\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 541*o**6 - 1319*o**2 + 39*o**3 - 81*o**3 + 856*o**6 + 39*o**3 - o wrt o.\nAnswer: 167640*o**3 - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 121*u = -5*g + 124*u + 58, 4*g + 5*u = -72 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = i**2 + 13*i + 1. Let o be q(-6). Suppose 0*c = -20*c + 1420. Let g = o + c. Is 10 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 minus -168?\nAnswer: 169","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find m, given that -2*m**5 - 30*m**4 + 2750*m**3 - 12450*m**2 - 15228*m = 0.\nAnswer: -47, -1, 0, 6, 27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Add together -1963655 and 0.5.\nAnswer: -1963654.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 371837803 to the power of 1\/7, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 5 = 0, a = -c + 12 + 28. Let d(o) = 175*o - 9. Let z be d(1). Let h = z - c. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = -3 + 278. What are the prime factors of v?\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -113\/1002420 and -151\/20520.\nAnswer: 114275880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.1 or -1973926?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 72\/12 + (0 - 17\/3). Let q(w) be the first derivative of -o*w**3 + 11 + 4*w - 3\/2*w**2. Determine q(-3).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 0, 30, 3, -102 in descending order.\nAnswer: 30, 5, 3, 0, -102","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 minutes after 7:08 AM?\nAnswer: 7:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 256*v. Let m(a) = -6*a. Give m(x(d)).\nAnswer: -1536*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -145831*f**3 - 37362*f**3 + 52869*f**3.\nAnswer: -130324*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 + 2 - 2*g**2 + (-4*g + 2*g + 3*g)*(-2 + 2 - g) + 2*g**2 - 177*g - 43*g + 72*g in the form v*g**2 + x + i*g and give i.\nAnswer: -148","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/105 greater than -1\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vm when two letters picked without replacement from {m: 1, v: 7, g: 1}.\nAnswer: 7\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z when two letters picked without replacement from xffozz.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.3097 to two decimal places.\nAnswer: 0.31","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (1\/3*-2)\/((-216)\/972)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (4 + -24)*2\/(-4). Suppose 5*g + r = -0. Let v(u) be the first derivative of -2*u**3\/3 + u**2\/2 + 2*u + 1. What is v(g)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 2*b = -2, 0*m + 10 = m + 2*b. Let x(p) = m + 3*p + 0*p - 3*p + p. Calculate x(-5).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12754404?\nAnswer: 2, 3, 13, 27253","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3 + 4. Let x = -2 - t. Which is bigger: -1 or x?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4471215075 + -4471215107.99999677. Let o = k + 33. Round o to 7 dps.\nAnswer: 0.0000032","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*l + 2*l**2 - 155*l + 37*l + 28*l.\nAnswer: 2*l**2 - 105*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -93 - 2?\nAnswer: -95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8341?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 6\/1*(-15)\/(-9). Suppose -4*y + 6 = -x. Suppose 2*q + y*p = -10, 3*p + 16 = -p. What are the prime factors of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 4*h - 123 = 0, 0*z = z - 3*h - 46. Let d = 39 + z. Calculate the greatest common divisor of d and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16416421*y + 8208128*y + 8207774*y.\nAnswer: -519*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 32 + -33.3. Let m = v + 40.3. Let s = m - 38.999983. What is s rounded to 5 dps?\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -119 - 0\nAnswer: -119","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = r**3 - 16*r**2 + 16*r - 13. Let f be d(15). Suppose -64 = -f*y - 5*q, 3*y - 17 = -4*q + 79. What is the smallest common multiple of 5 and y?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*v*v**(-3))\/v*(((v\/(v\/v**(-1\/4))*v)\/v)\/v*v)\/v)**(8\/15) assuming v is positive.\nAnswer: v**(-26\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 7.94 - 7.84. Which is bigger: h or -1.42?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -42*w - 108*w + 413*w + 422*w to the form r + l*w and give l.\nAnswer: 685","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -4 - -125?\nAnswer: 121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/3 or 13206?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) be the second derivative of -i**3\/6 + 7*i**2\/2 + 2*i. Let z be f(3). Solve z*b + 3*r = 2*r + 17, -2*b - 2*r + 4 = 0 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 o when three letters picked without replacement from qcyyoq?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1494 and 2739.\nAnswer: 16434","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g = 4*r + 19 + 1, -5*g = -2*r - 10. Suppose g = -5*u - 20, -p + 25 = -3*u - 8. Is p a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = f**2 + 8*f - 20. Let z be h(2). What is the nearest to 0 in -2\/11, 0.5, z, -0.3?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 2\/3 (b) 5 (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 4*v**3 + 14*v**2 - 3*v + 5. Let i(c) = c**3 + c**2 + c + 1. Let n(b) = 5*i(b) - z(b). Let t be n(8). Do t and -7 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 8129027999 and 0.9.\nAnswer: 8129027999.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1212010111001 - -12?\nAnswer: 1212010111020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00026593 to 5 dps.\nAnswer: -0.00027","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 5212?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of -5*((-511)\/(-70) + -7)\/(6\/(-168)) and 528.\nAnswer: 3696","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 13 = 7. Suppose -p + 175 = d*p. Suppose 0*l - 525 = -105*l. Calculate the greatest common factor of l and p.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 30 and 33?\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29*u = 901 - 814 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 4842 a factor of 683671032?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -155, -632, -1429, -2546, -3983, -5740?\nAnswer: -7817","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in eighteen fifths of a millennium?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = z**2 + z + 5. Let l be d(0). Suppose l*b = 4*b + 14. Suppose -5*m + 619 = -81. What is the highest common divisor of m and b?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, -4, 2, 209 in descending order.\nAnswer: 209, 2, -4, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -7\/3? (a) 2\/9 (b) 21\/2 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-328767)\/(-54)*1 + -2. Let v = 6089 - o. Find the common denominator of v and 22\/10*(-5)\/4.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b when two letters picked without replacement from {b: 7, v: 7}?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.4, 1, -1.6?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in one twentieth of a minute?\nAnswer: 3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 11318\/5 + -2264. Suppose -5*h = 2*f - 3, 3*f - 6*h + 4*h = -5. What is the closest to 2\/3 in f, l, -5?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 717772151 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide -11 by -48.\nAnswer: 11\/48","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 879685 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (1\/2)\/(3 + (-411)\/138). Let g(l) = 2*l - 43. Let s be g(k). Find m, given that -20*m**2 + 30 - 2*m + 5*m**s + 4*m + 3*m = 0.\nAnswer: -1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 5351851073 from 0.12.\nAnswer: -5351851072.88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*i + 1 - 1 + (65 - 8*i + 12*i - 5*i)*(-3 - 1 + 3).\nAnswer: 3*i - 65","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 18612501 to the nearest integer?\nAnswer: 265","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 0 (b) -1063 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8 - 8 - ((-1920)\/(-6))\/(-16))*(-26)\/4?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 83*v**2 - 97153165*v - 97153228*v + 194306393*v.\nAnswer: 83*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1296 by -648.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - d + 36 = 6*i, -4*d + 4 = 0. Calculate the remainder when i is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -28217 and -0.5682?\nAnswer: 28216.4318","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 60000\/18*(-1 - -25). What is f rounded to the nearest 10000?\nAnswer: 80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-24)\/(-18))\/((-1)\/(-285)). Suppose -4*p + 524 = l, 4*p - 4*l = 7*p - h. What is the highest common factor of p and 24?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 41 in -5, 3\/4, -8, -1\/3, 2\/11?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -82818, -82816, -82814, -82812, -82810, -82808?\n\"Answer: 2*i - 82820","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -2*r**2 - 33268. Let m(q) = 18*q. Calculate m(j(y)).\nAnswer: -36*y**2 - 598824","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 8046.471 micrograms?\nAnswer: 0.008046471","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -12 (base 10) to base 14\nAnswer: -c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 195 minutes after 7:25 AM?\nAnswer: 10:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (2\/(-4))\/(1\/(-2)). Let z(y) = 1. Let a(m) = 2*m**2 - 3. What is o*a(p) + 3*z(p)?\nAnswer: 2*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(98) + 3*1*sqrt(98) + (sqrt(98) - 2*sqrt(98)*-2))**2 + (-5 + sqrt(98)*1)*5.\nAnswer: 35*sqrt(2) + 7913","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3616268319?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 69541921 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -3*z - 2*z. Suppose 2*s + 2*o = 20, -o + z*o - 4 = 0. What is the units digit of s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -15 (b) -265 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3.11216 - 0.11216. What is the third biggest value in j, -0.4, -743?\nAnswer: -743","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -x**2 + 10*x + 14. Let l(m) = m**2 - 5*m - 3. Let i be l(7). Let c be j(i). Solve -c = -s + 2*y - 3*y, 4*s - 3*y + 2 = 0 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 230379?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17877 is divided by 5934.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + ((sqrt(245) - (-1 + sqrt(245) + -2)) + -5)**2)*-4*-6.\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1 - -3. Calculate the smallest common multiple of w and 62.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:17 PM and 10:24 PM?\nAnswer: 367","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -165 + 182 + 14 - (0 - 54).\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 11, v: 9}. Give prob of sequence rvvv.\nAnswer: 77\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1)\/4 - 68\/(-16). Suppose 15 = w*h + 3. Which is the biggest value? (a) h (b) -0.5 (c) -1 (d) -8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -37\/137513 and 161\/18462?\nAnswer: 149339118","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 50 minutes before 4:46 AM?\nAnswer: 3:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a, 1 v, and 1 q when four letters picked without replacement from aaavaaaaavavdrvrvraq?\nAnswer: 15\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 8645 a multiple of 95?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 - (-4 + 5 - 1974) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (4 - (3 - 3))*-1. Let a(d) = d**2 + d + 5. Is a(p) a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u - t = -9, 2*u - 3*t - t + 14 = 0. Let m = 5535\/7 - 791. Which is smaller: m or u?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -3 (b) -11\/4 (c) 2 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 0\/1 - (-30)\/(-5). Let a = 22 + p. Suppose 3*j - a = j. What is the remainder when 13 is divided by j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((a\/((a\/a**(-9))\/a))\/a)\/a*a*(a\/a**(2\/9))\/a)**36)**49)**(-5\/16) assuming a is positive.\nAnswer: a**(20335\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14 + (-10 + 8 - 6 - -2).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 0\/(3 + -3 + 2). Solve f + f + 10 = h for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 + 0 + (3 - (5 - -5)) + (4 - -5).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of -29 and 2855.\nAnswer: -82795","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = q + 1. Let p be 4\/12 + 52\/6. Suppose 24 = -p*v + 5*v. Let h(r) = 13*r + 18. Let d(m) = 4*m + 6. Let s(b) = 11*d(b) - 4*h(b). Determine v*l(j) - s(j).\nAnswer: 2*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/(-5))\/2*10\/(-42)*-14\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24*u**2 - 688947 - 12*u**2 + 688947 - 7*u**2.\nAnswer: 5*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 77 divide 1617?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 91 = 4*z - 73. Suppose 4*t + 8 = r, -t = 5*r - z - 62. Does 10 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -129 - -103?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3 + sqrt(12)\/sqrt(4))*-2)**2 - (((sqrt(9)*1)\/sqrt(3))**2 - sqrt(30)\/sqrt(40)).\nAnswer: -47*sqrt(3)\/2 + 45","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 54 and 513?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o = 3 + 5. Suppose 0 = -0*i - 3*i, i = -3*x - 6. What are the prime factors of (22\/4)\/(x\/o)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = q**3 - 29*q**2 + 64*q + 24. Let s be m(26). Let n be 12\/(-130)*s\/204. Which is smaller: 0 or n?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 2, t: 4, s: 1}. Give prob of sequence vs.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) be the third derivative of d**5\/12 + 385*d**4\/24 + 161*d**2 + 1. Factor h(l).\nAnswer: 5*l*(l + 77)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*p**4 - p**4 + 0*p**4 + (p**4 + 5*p - 5*p)*(-5 - 4 + 1) + (2*p**2 - 2*p**2 - 2*p**2)*(3 - 3 + 2*p**2).\nAnswer: -17*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lleeell. What is prob of picking 1 e and 2 l?\nAnswer: 18\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1577958 to the nearest integer?\nAnswer: 116","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -277 divided by -3253?\nAnswer: 277\/3253","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 2*o**2. Suppose 42 - 178 = -34*l. Let z(t) be the third derivative of 0 + 0*t + 0*t**3 - 1\/8*t**l - 9*t**2. Calculate z(p(k)).\nAnswer: -6*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 3882609475 to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in one fifth of a litre?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3167 - -3170. Which is the biggest value? (a) r (b) -0.2 (c) 6\/17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 102 and 5?\nAnswer: 510","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -49 + 523. Let c be 3 - (-9)\/(27\/a). Calculate the remainder when (-4)\/(-12) + (-4)\/((-12)\/c) is divided by 29.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3 + 4 - 2*t**3 + 4*t**3 + (-1 + 3 + 0)*(-t + t**3 + t).\nAnswer: 4*t**3 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -11 + 11. Let y(g) = 9*g**2 - 57*g + 18. Let n be y(6). Determine c so that u*c - 2\/13*c**2 + n - 2\/13*c**3 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 240 a multiple of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -2898 divided by 11?\nAnswer: -2898\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 779.6873t?\nAnswer: 779687300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 19*u. Calculate y(-1).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -23 + -535797.57.\nAnswer: -535820.57","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-two fifths of a litre in millilitres?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -1480100 rounded to the nearest one hundred thousand?\nAnswer: -1500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 9715361?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 21*s**2*w**2 + 71*s**2*w - 11*s**2 + 160082*s*w**2 - 4*s*w - 27*w**2 + 604*w - 5 wrt w.\nAnswer: 42*s**2 + 320164*s - 54","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 164379.\nAnswer: 3, 157, 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2, 5, -221?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 52 = -q. Suppose 2*z = 5*p + 1 + 295, 2*p + 147 = z. What is the greatest common divisor of z and q?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 2340*x + 23. Determine h(0).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ruurryurrur. What is prob of picking 4 u?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, -1137.05, -4 in decreasing order.\nAnswer: 0.5, -4, -1137.05","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 52\/234*-21*(4032\/49)\/(-6)?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-14)\/49)\/(195\/91).\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13962*d - 1072 = -13869*d + 2851 + 355 for d.\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 268\/40 + ((-357)\/102)\/((-2)\/(-4)).\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -218311\/4 - -1159241\/20. Let v = b - 3389. Find the common denominator of -81\/14 and v.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 20718 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 712*h**2 + 703*h**2 - 2129*h**2 + 711*h**2.\nAnswer: -3*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 61327929.6us in weeks?\nAnswer: 0.000101402","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 12, -4, -7, -6, 0, 5, 13 in descending order.\nAnswer: 13, 12, 5, 0, -4, -6, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - 5\/7)\/(300\/(-525))?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find t, given that 8*t**3\/9 - 628576*t**2\/9 + 12458554490*t\/9 - 1455985521550\/3 = 0.\nAnswer: 357, 78215\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.0248 + -0.0248. Put 8\/11, -1\/4, q, -2\/19 in ascending order.\nAnswer: -1\/4, -2\/19, q, 8\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l - x = -21, -2*x - 27 + 9 = -4*l. Suppose 4*k + l*q = 0, 3*q - 5*q - 3 = k. Suppose -1 = -r + k. Calculate the least common multiple of 2 and r.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -583\/4 + 145. Let m(q) = q**2 - 3*q - 19. Let g be m(6). Let h be (g + 0)\/(-16 + 21). Which is the closest to 2? (a) w (b) 2\/7 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vvvwdxdwvvhaawd. What is prob of picking 1 x, 1 d, and 2 w?\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -n**2 - 9*n - 6. Let c be j(-6). Suppose 0 = -v + c + 13. Suppose -21*d - 316 = -v*d. What is the units digit of d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1 - -0.78. Let q = i + 0.52. Sort -2, -1.3, q in increasing order.\nAnswer: -2, -1.3, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 2*j**2 + 6*j - 8. What is t(0)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7596992.\nAnswer: 2, 13, 23, 397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (16\/3)\/((-8)\/(-24)). What is the highest common divisor of 48 and s?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 3 (b) -3 (c) 1\/15 (d) 5 (e) 0.4 (f) 1\/3 (g) -2\/73\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -24\/5 (b) 1\/4 (c) 0 (d) -0.1 (e) -184 (f) -1 (g) -3\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) be the first derivative of -r**2\/2 - 7*r + 10. Let s be 4\/(-46) + (-102)\/(-1173). Give v(s).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2108 (base 10) in base 5?\nAnswer: -31413","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 1259?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4755273 and 69?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 868706 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-713)\/69 - 0\/1. Let k = g - -121\/12. What is the nearest to -1 in k, -1, 1\/6?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21169 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*j**3 + 186850*j**2 + 186856*j - 373704 = 0. What is j?\nAnswer: -2, 1, 93426","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 3306, 5, -4, -1 in ascending order.\nAnswer: -4, -1, 5, 3306","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (9\/(-15))\/(1\/(-5)). Suppose -36 = n*k - 6*k. What is the tens digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kkh when three letters picked without replacement from {h: 1, k: 17}?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -391 greater than -305?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((-2*sqrt(55))\/sqrt(11))**2.\nAnswer: -120","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -13 + -4 - 0 - -62. Solve r = -3*h + 33 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:51 AM and 11:04 AM?\nAnswer: 493","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 4 (b) 0.87 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 103 minutes before 2:27 PM?\nAnswer: 12:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o**4 + 4*o**2 = 0.\nAnswer: -2, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*g + 23*g = -2*h - 91*g - 88, 6 = h - 2*g for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 350 (b) 2\/7 (c) -18\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2529 is divided by 2444.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 207 + 366 = 27*q + 141. What is the nearest to -3\/4 in q, 19, 2\/7, -3?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/7)\/(-9 + 10 - 4).\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 0*q**2 - 1 + 1 + 2*q**2. Let s(p) = -12*p. Determine s(t(h)).\nAnswer: -24*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 493 and 68.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:10 AM and 7:12 AM?\nAnswer: 62","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = c - 3. Let p be z(5). Let y be (1 + 1)*(0 + p). Suppose -2*f + 16 = y*u, 0 = 3*u + u - 16. Is f <= 1\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 42.3 + -42. What is the third biggest value in 3\/4, g, -3, 1\/3?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.7 - 0.3. Let t = 0 - m. Let l = 8 + -8.1. Which is the closest to -0.1? (a) t (b) l (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -120, -67, 28, 171, 368, 625, 948, 1343?\nAnswer: 1816","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 13960019 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) be the third derivative of -7*n**4\/12 - 208*n**2. Let c(x) = 15*x. Calculate c(k(m)).\nAnswer: -210*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.0207191 years to months.\nAnswer: 0.2486292","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 3 = x + 2*x, 5*l - 15 = 5*x. Let n = -107.6 - -107.7. Which is the nearest to -1\/3? (a) n (b) l (c) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + (0 - -1) + 0 + 2.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - 108 = -10*k. Suppose 3*o - 3*m - 101 = 235, 2*o + 5*m - 196 = 0. Calculate the highest common divisor of k and o.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 227847 = 54*k + 28209. What are the prime factors of k?\nAnswer: 3697","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/(-3)*14\/(252\/27).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 8676, 9393, 10108, 10821, 11532, 12241?\n\"Answer: -w**2 + 720*w + 7957","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e, 1 g, and 1 t when three letters picked without replacement from eiegeieeteeeeii?\nAnswer: 9\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:40 AM and 8:30 PM?\nAnswer: 710","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 2*d**2 - 18*d - 12. What is the tens digit of n(-4)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2156249 and 95?\nAnswer: 204843655","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 10, y: 2}. What is prob of sequence iiii?\nAnswer: 14\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -2*m. Let z(w) be the first derivative of 2*w - 6 + 9\/2*w**2. What is z(j(b))?\nAnswer: -18*b + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -4*n**2 - n + 8*n**2 + 0 + 1 - 3*n**2. Let z = 865 + -868. Let h(w) = 2*w**3 + w**2 + 3*w - 4. Determine z*i(f) - h(f).\nAnswer: -2*f**3 - 4*f**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Determine y, given that 0 + 1\/3*y**3 + 160\/3*y - 44\/3*y**2 = 0.\nAnswer: 0, 4, 40","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 43*i**4*w - 2*i**2*w**2 + 161*w**2 wrt i?\nAnswer: 172*i**3*w - 4*i*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 7, x: 3}. Give prob of picking 2 k.\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (19 + -2 + 1 - (-1 + 11) - 34) + 3\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -2 (b) 4 (c) -1.17 (d) -10 (e) -4558\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) be the third derivative of 0 + 1\/24*r**4 + 1\/3*r**3 - r - 1\/15*r**5 + 12*r**2. Find the second derivative of h(l) wrt l.\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(2057) + 1*(sqrt(2057) + 0) - sqrt(119)\/(-1*1*sqrt(7))).\nAnswer: 69*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -63983*j**3 - 28*j**2 - 162*j - 4840?\nAnswer: -383898*j - 56","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9233 is divided by 9221.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 1096*x**3 + 6*x**2 + 2*x. Let s(q) = -10962*q**3 - 63*q**2 - 21*q. What is 42*i(w) + 4*s(w)?\nAnswer: 2184*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -25*r**3 + 3*r**2 + 5*r - 113. Let t(u) = 35*u**3 - 3*u**2 - 6*u + 112. Determine -4*j(d) - 3*t(d).\nAnswer: -5*d**3 - 3*d**2 - 2*d + 116","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 66*n**2 - 75*n**2 + 49*n**2 + (2*n + 0 + 0)*(-4*n + 0*n + 2*n) - 101 + 11*n**2 + 101 to the form v + x*n + a*n**2 and give a.\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) be the second derivative of -n**4\/48 - 19*n**3\/8 - 55*n**2\/4 - 198*n - 1. Find q such that u(q) = 0.\nAnswer: -55, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gd when two letters picked without replacement from yggygyggyyyydggyygg?\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 9615 = -6781. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 144 and 208647072.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (46\/(-4))\/(((-3)\/(-15))\/(102\/(-5))). Is o less than 1174?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2130\/93887 or -1?\nAnswer: 2130\/93887","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 458 minutes after 3:04 PM?\nAnswer: 10:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:23 AM and 5:45 AM?\nAnswer: 142","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.01 - 0.49. Which is the second smallest value? (a) 0.5 (b) 1 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-7)\/(-6))\/(-1)*(-16)\/28?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3\/4? (a) -0.033 (b) 2\/5 (c) 4 (d) 1.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 51 and 105.\nAnswer: 1785","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 822 a factor of 25096482?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (27\/((-90)\/10))\/1?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (4\/(-5))\/(-3*2\/(-30))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = q**3 - 15*q**2 + 41*q - 26. What is y(3)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1002 is divided by 20.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 55 divided by 1717?\nAnswer: 55\/1717","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 2*b - 30. Let f be k(16). Suppose 5*d - f = 4*d. Suppose p - d = -0*p. Solve p*g - 4 + 0 = 0 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*p**3 - 3*p**3 - 2*p**3 + (3*p**2 + 2*p - 2*p)*(0 - 1 - 3)*(-2 + p + 2) to the form y*p**3 + n*p**2 + z*p + s and give y.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*d**2 + 33307*d**3 - 3*d**2 - 33310*d**3.\nAnswer: -3*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jjvmjmvmjvl. What is prob of picking 1 m and 2 j?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 398*t**2 + 13*t + 23. Is z(-8) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 4 and 220.618?\nAnswer: 882.472","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 28, -4, -7, 5 in descending order.\nAnswer: 28, 5, 3, -4, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t = 7*t - 324. List the prime factors of t.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(76) + sqrt(76) + -4 + 4 + sqrt(76) + sqrt(76) + -1 + 1)**2 - 6*-6*(sqrt(76) + -4)*-3.\nAnswer: -216*sqrt(19) + 1648","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2661?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rrrrfrfrrrr. What is prob of sequence ff?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -58 + 334. What is the tens digit of l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g = 3*k + 10 - 0, 2*g + 10 = k for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 10795 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -96*-1.716.\nAnswer: 164.736","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4.9 - 4.7. Let d = -4 + 3. Suppose -3 = 3*n - 0*n. Which is the nearest to n? (a) d (b) h (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5932.34914472 - -0.11?\nAnswer: -5932.23914472","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a meter in millimeters?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = k**3 + 3*k**2 - 3*k + 1. Let o be z(-3). Let l be (18\/(-45))\/((-26)\/o). Which is the closest to -1? (a) l (b) 1\/3 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - 5*j = 14, -3*j + 1909 - 1933 = -4*r. Solve -15 = -3*u - 5*o, 2*u = -6*o + r*o + 10 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8a669 (base 13) to base 12\nAnswer: 1016b3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 371*z = 326*z + 39 + 6. Suppose -h - 3 - 1 = 0. What is the nearest to z in -1, 4, h?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 0*l**2 - 8*l**2 + 3 + 7*l**2 + 3*l + 3 - 8*l. Let y = 1 + -8. Calculate m(y).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000008462918864 to 7 dps.\nAnswer: -0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (68\/(-20) + 1)\/((-12)\/40). Suppose j - 396 = -f*j. What is the smallest common multiple of j and 20?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -2*f + 37. Is 7 a factor of l(-11)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-15)\/20)\/((-2)\/(-6) + 44\/264)?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 6*t**2 - 9*t + 40. Let u be f(9). Suppose -4*d + 1368 = 4*k - k, k - u = -5*d. What is the hundreds digit of k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -556860 >= -556862?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -49 + 203. Let s = 253 - k. List the prime factors of s.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m + 6*z = z + 20, m + 12 = 3*z for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -52*l. Let s(j) = -15*j + 2. What is s(f(n))?\nAnswer: 780*n + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:28 PM and 10:46 PM?\nAnswer: 318","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -c + 4*h - 9, 3*c + h + 1 = -0*h. What is the remainder when (-4)\/(12\/21)*c is divided by 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 533877?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -2*j**3 - 3*j - 1. Let o be p(-2). Solve -22 = -4*d - 2*f, 4*d + f = o - 2 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2154 = -0*u + 2*u. Suppose u - 3947 = -10*b. Let f = b + -166. Calculate the greatest common factor of 11 and f.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -2006 - -50440?\nAnswer: 48434","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 247 is divided by 48.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2066975 is divided by 15425.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 p, 1 x, and 1 u when four letters picked without replacement from ppuxppppppxu.\nAnswer: 112\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 (base 7) in base 11?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 11*l**2 + 5*l + 7. Let v(t) = 5*t**2 + 8*t + 9. Let i(n) = 2*n + 2. Let u(x) = 3*i(x) - v(x). Give 4*c(b) + 9*u(b).\nAnswer: -b**2 + 2*b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -h**3 + 58*h**2 + 1133*h + 572. Let j be b(-15). Suppose -126\/5*d**j - 36\/5*d**3 - 63\/5 - 156\/5*d - 3\/5*d**4 = 0. What is d?\nAnswer: -7, -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 75755075 and -92185.\nAnswer: 75662890","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -83*d + 3408 - 3076 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = -3*d - 76, 101*d + 3*f = 98*d - 78. What is the tens digit of 2\/d + (-47645)\/(-60)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ue when two letters picked without replacement from eeue?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 30\/(-56) + 3*(-3)\/(-36)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-20 - -19) + (3 - 3).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -3*m**3 + 110*m**2 - 74*m - 76. Give y(36).\nAnswer: -148","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 110 + 25 = -5*q, 0 = q + 2. Calculate the highest common factor of t and 330.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 8632396 rounded to the nearest 1000?\nAnswer: 8632000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (2\/1)\/(1560\/(-1590)) and 0 + 0 - 3 - (-238)\/40.\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 1388, 3, -2\/3, 5?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 1 divided by -7426470\nAnswer: -1\/7426470","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 608658408 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 55869311?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 20 times 6\nAnswer: 120","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -2364.6 times 2.3\nAnswer: -5438.58","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101011001 - -1101?\nAnswer: 101100110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) be the first derivative of -t**5\/2 - 5*t**4\/6 - 9*t - 9. Let q(y) be the first derivative of l(y). What is the third derivative of q(s) wrt s?\nAnswer: -60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-39)\/147 + (-36)\/(-63) and 127\/182.\nAnswer: 1274","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -3 and 0.0434.\nAnswer: -2.9566","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 139765203?\nAnswer: 3, 5176489","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(64)*-2)\/(sqrt(72)*2) - (-3*(sqrt(88)*-1 + sqrt(88)))\/(1*sqrt(1584) + sqrt(1584)).\nAnswer: -4*sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 6*u**2 - 281*u + 165. Let a be r(72). Calculate the highest common divisor of 39 and a.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36*h - 29*h - 1963148 = -37*h. What is the hundreds digit of h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1.2 (b) -1 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 5 = 5*n - 23, 4*n + 2*h = 30. Suppose -173*q + 75 = -248*q. Sort 4, n, -5, q in increasing order.\nAnswer: -5, q, 4, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in 2.7, -3\/14, 3, 0.3, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z = -3*r - 2*r - 3, 3*z + 3*r = 0. Suppose -m + z = -2*m. Is m + 44\/(-3)*-6 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (224\/(-21))\/((-4)\/6). Find the third derivative of 14*y**2 - n*y**2 + 4*y**4 - 6*y**4 wrt y.\nAnswer: -48*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 1330?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1485033221?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7 + 0 + 3)*(855*a**2 + 564*a**2 - 5*a + 5*a - 168*a**2).\nAnswer: -5004*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 88536982?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -x + 7. Let m be k(3). Let v be m\/6 + (-12)\/(-9). Solve -v*w - 14 = 3*g + 2*g, -3*w = -5*g - 29 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 39 minutes before 10:40 AM?\nAnswer: 10:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 610 minutes after 9:51 PM?\nAnswer: 8:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (16\/(-6))\/(57112\/920931)\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 1019082, 1019092, 1019102, 1019112?\n\"Answer: 10*y + 1019072","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-24)*f)\/((((f**(-1\/6)*f)\/f)\/f)\/f) assuming f is positive.\nAnswer: f**(-125\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*z**4 - 3*z**4 + 3*z**4 + (0 + 0 - 2*z)*(2*z**2 + 0 + 4 - 1)*(-2 - z + 2).\nAnswer: -z**4 + 6*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 275 divide 3053042214?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -6*j**6 + 6*j**5 - 270*j**4 - 26717*j**2 wrt j.\nAnswer: -720*j**3 + 360*j**2 - 6480*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3.895706 + 0.104294. Suppose 3*i - 8 = -q, -4*i + 29 = -0*i + 5*q. Put r, 2, -2, i in descending order.\nAnswer: r, 2, i, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 82 + (18 - (43 + -5 - 9))?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -11 - (-6 + (6 - 20))\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 106794\/10 - (-2)\/(-5). Suppose -d = 4*y - 1079. Round y to the nearest 1000.\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.3704687 - 0.27147082. Let m = -0.046 - 0.053. Let g = q + m. What is g rounded to seven dps?\nAnswer: -0.0000021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*(-11)\/(55\/(-10)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 34976844 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: In base 3, what is -21122 + 10120001?\nAnswer: 10021102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 40244, 42060, 43866, 45656, 47424, 49164?\n\"Answer: -g**3 + g**2 + 1820*g + 38424","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 202390 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 34 + (-89 - 6) + 32?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 876*r + 292 + 744 = 728*r for r.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 79 + -140. Let i = -54 - h. Is 5 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 5*b - 5*q, 4*q - 13 = -4*b - 5. Sort 5, -11, b, 4 in ascending order.\nAnswer: -11, b, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-1)\/2)\/((-12)\/288). Suppose -i = -r*i + 7*i. Suppose 20*u = 24*u - 4. Solve s + i*s = u for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7*j**2 - j**2 - 2*j**2 + 7*j**2 - 1 - 3*j to the form n*j**2 + k*j + a and give n.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.035 - 29.035. Let l = -24 - d. What is the third biggest value in -0.2, -1\/10, l?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 29*k**2 - 5*k + 2 + 5*k.\nAnswer: 29*k**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*z**2 + 4 - 4)*(-1 + 5 - 3)*(77*z + 88*z + 0*z).\nAnswer: -825*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -12073.047806 + 11414.0478373. Let z = -659 - l. Round z to 5 decimal places.\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -10*c + 3*c**3 - 7*c**3 - 4*c**3 wrt c.\nAnswer: -48*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) be the third derivative of 6*j**2 + 11\/6*j**3 + 1\/60*j**5 + 1\/8*j**4 + 0*j + 0 + 1\/120*j**6. What is the tens digit of k(0)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 78*((-1)\/(8\/(-20)) + 30)?\nAnswer: 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00534258758 rounded to four dps?\nAnswer: -0.0053","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1173278 plus 0.3?\nAnswer: 1173278.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -69\/1420 and 63\/197224936.\nAnswer: 986124680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1768 - 30099\/17. Calculate the common denominator of 46 and j.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 8*p**2 + 8*p - 5. Let t(s) be the third derivative of -7*s**5\/60 - 7*s**4\/24 + 2*s**3\/3 - 12*s**2 + 2. Let o(v) = -5*q(v) - 6*t(v). Give o(-2).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g**(-19)*g*g)\/g**(1\/7)*g**(-8)*(g\/(g\/(g*g**(3\/8))))\/g assuming g is positive.\nAnswer: g**(-1331\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1373 - -3?\nAnswer: -1370","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1441432011 (base 5) in base 6?\nAnswer: 214410513","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 48 a factor of 945097235?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -8733 or -8739?\nAnswer: -8739","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = f + 2*f. Let x(j) = -2 + f + 8*j + 3. Let p be x(-2). Round p to the nearest ten.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -28*q + 1912. Let r be n(39). What is the highest common divisor of 902 and r?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (sqrt(3) - 1*sqrt(15)\/sqrt(5)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 114157 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 20399?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -18 + 8 + -14 + 4 - (3 + -3)?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ii when two letters picked without replacement from rriiirrrrr.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-7)\/(-63)*6)\/((-15)\/(-126)). Which is the smallest value? (a) n (b) 0 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 651 to the power of 1\/5, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -m**2 + 17*m - 23. What is h(16)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -11*m**3 - 10*m**3 + 24*m**3 - m**3 + 0*m + 0*m + (-2 + 0 + 3)*(-1 + 1 + 2*m**3) - 2*m**3 + 7*m**3 - 2*m**3.\nAnswer: 7*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -53 - -60. Let n = 10 - 9. Let o be ((-5)\/3)\/(8\/(-24)) + -1. Which is the nearest to -1? (a) k (b) o (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 12*r**3 - 7*r**2 - 3*r + 31. Let q be (-1)\/(((-9)\/(-1))\/(-45)). Does 14 divide a(q)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 45410 to the nearest integer?\nAnswer: 213","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 4727 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(120) + sqrt(120) + -1*sqrt(120) + sqrt(120))\/sqrt(12))\/sqrt(5).\nAnswer: 2*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 241*n - 11596. Give f(48).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -28711 <= -28717?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 894*l**2 + 121*l - 22. What are the prime factors of p(4)?\nAnswer: 2, 3, 23, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5 - -6. Let j be z\/4 - (1 - 1). Sort -1, j, -0.1 in increasing order.\nAnswer: -1, -0.1, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1.9 + 1.4. Which is the nearest to 0? (a) l (b) -3 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 276412 and 12?\nAnswer: 829236","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*s - 3*s**2 + 4*s**2 + 6*s.\nAnswer: s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 528 divide 147844?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.08 (b) 0.3 (c) -2\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -144 = 3*o + 39. Let r = o - -36. Let z = -13 - r. Is 12 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 8900765*q**5 + q**4 - 1229551*q**2.\nAnswer: 534045900*q**2 + 24*q","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 t when two letters picked without replacement from {t: 15, f: 3, a: 2}.\nAnswer: 21\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:20 AM and 5:29 AM?\nAnswer: 249","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 584765 is divided by 882?\nAnswer: 881","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -160 - -27?\nAnswer: -131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2\/(-3)*3\/(-2). Let v(j) = 13*j. Suppose -77*t + 81*t = -3*g + 81, -100 = -5*g + 5*t. Calculate the remainder when g is divided by v(o).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1, 3.58, -1\/5, -2, 0.66?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 4*q. Let a be u(1). Suppose -4*z + 2*b = -2*z - 110, -a*z + b = -232. Let k = z - 40. Is k a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7\/3 - (-22 - -24)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10849 to the power of 1\/5, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 3*l**3 - 2*l**2 + 3*l + 2. Let w(o) = -o**3 - o + 1. Let a(i) = -2*i**3 + 5*i**2 - 2*i - 10. Let v(p) = -a(p) - 5*w(p). Give 5*n(z) - 2*v(z).\nAnswer: z**3 + z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = n - 1. Give w(-5).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 34137571 to the nearest integer?\nAnswer: 324","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(4 + sqrt(19)*-2 + 4).\nAnswer: -48 + 12*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 355 = 5*b + o, 5*b - 365 = -4*o + 5*o. Suppose v + 3*h - 9 = -h, 4*v = -4*h + b. Solve v = 4*j + 29 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7111494um in nanometers?\nAnswer: 711.1494","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-23)\/4 - 1\/4. Let w(q) = 9*q**2 - 6*q. Let p(s) = -10*s**2 + 7*s. Let j = 34 - 41. Let z(x) = a*p(x) + j*w(x). Let u(c) = c. What is u(z(b))?\nAnswer: -3*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*b - 4*b + 2*b)*(-20 + 244 - 125)*(3 - 4 + 2).\nAnswer: 99*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 61*y + 96 - 21 + 47 = 0 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*c - c + 2*c)*(-1 + 6 - 3) + 9*c - 12*c - 12*c - c + c - 3*c + (0 - 5 + 3)*(-3 - 2*c + 3) + (0 + 0 - 2)*(-2 - 2*c + 2).\nAnswer: -8*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -178*i**2. Let d(v) = -273825*v + 1. Give d(h(u)).\nAnswer: 48740850*u**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1509 + -1.\nAnswer: -1510","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1\/9 (b) -0.5 (c) -54 (d) -1 (e) -12 (f) 2\/33 (g) 17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (45*(-41)\/(-22140))\/(2\/(8\/3))\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1141745 to the nearest integer?\nAnswer: 105","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 220495, 220497, 220499?\n\"Answer: 2*q + 220493","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1057?\nAnswer: 7, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-48)\/(-40) - 1\/5. Let u be (0 - -1)*0\/(-3). Let y = c - u. What is the units digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 29663\/((-1)\/(-22)*11).\nAnswer: 2, 29663","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -u**2 + 7*u - 5. Let w be y(6). Suppose -3*j + 403 = n - 118, -j - n + 175 = 0. Suppose -w = f, 3*f - j + 41 = -5*s. What is the units digit of s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -399 divided by -1.\nAnswer: 399","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 6*c - 4*c. Let f = -7 + 10. Suppose -7 = -g - i, -4*i + 2*i + 16 = f*g. Solve 0 = s + s + c*d - 12, 0 = g*s - 4*d - 6 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = k**2 + k. Let s(x) = -x**2 + 5*x - 1. Let q = -97 - -100. Let t(f) = q*j(f) - s(f). What is t(2)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 132049 = 3*k, 3*f = 4*k - 39329 - 136745. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*p**3 + 30*p**3 - 15*p**3.\nAnswer: 2*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 0, -1\/6, 0.053?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1305*u = 8130 - 39 - 91611 for u.\nAnswer: 64","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 9013, 18045, 27077, 36109?\nAnswer: 45141","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 581 is divided by 20?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yl when two letters picked without replacement from {c: 4, g: 1, l: 5, y: 1, m: 1}.\nAnswer: 5\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -59 - -63. Let y(g) = 1. Let x(d) = 8*d - 4. Let h(k) = x(k) - 2*y(k). Is 13 a factor of h(s)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) be the first derivative of 5\/3*m**3 - 58 - 49*m - 3\/2*m**2. Differentiate z(k) wrt k.\nAnswer: 10*k - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) be the third derivative of 17*u**5\/60 - u**4\/12 + 121*u**3\/6 + 317*u**2 - 1. What is the derivative of j(d) wrt d?\nAnswer: 34*d - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -12*f + 635 - 563 for f.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 156901 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 63289 to the power of 1\/2, to the nearest integer?\nAnswer: 252","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -14 + 9. Let p = 0.281 - -3.719. Put p, h, 2\/23 in ascending order.\nAnswer: h, 2\/23, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-101 - -111) + 7 + -33?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -4 + 0 + 2 + 17. Let b(z) = 109*z - 46. Is b(t) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3791.928 - 3797. Round o to one decimal place.\nAnswer: -5.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 13485, 27029, 40573?\nAnswer: 54117","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0 - -6. Let s be (t\/(-8))\/((-117)\/24). Which is smaller: s or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -7*u. Suppose 3*g = -2*z + 93, 11 = -2*g + 2*z + 63. Let n(y) = -42*y - g*y + 73*y. Give n(m(b)).\nAnswer: -14*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 77.7 + -78. What is the nearest to 0.1 in u, -2\/9, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*c - 26*c + 15*c.\nAnswer: -9*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -20*t**2 - 1. Suppose 1 = -5*j - 4. What is z(j)?\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 38980086?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1548)\/((-36)\/6) - 3. Suppose 8*w - 49 - c = 0. Let j be 12\/48 + w\/8. Solve -j*r = -6 - 14 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 112023705.\nAnswer: 3, 5, 269, 27763","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) be the second derivative of 22*t**3\/3 + 13*t**2 - t. Let v(i) = -5*i - 3. Let j(h) = 1487*h - 4513. Let m be j(3). Determine m*v(r) - 6*l(r).\nAnswer: -4*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -11 - -12. Let f = -4 + 6. Suppose -f = -w + s. What is the units digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - 4*n = -15. Suppose -4*s + 3*f + 12 = -19, 15 = -n*f. What is the units digit of s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 238d (base 14) to base 8\nAnswer: 14071","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1904 by -952.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 59 a factor of 370456?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 336 = -5*j - h, 273 = 4*j + h. Calculate the greatest common factor of 1173 and j.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.2 and -0.38426.\nAnswer: -0.58426","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gknqqeqegnrrrg. Give prob of picking 1 e and 1 n.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -4 (b) -2\/9 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18*g**2 - 7*g**2 + g**2 + 289*g - g**3 + 3 + 24*g**2.\nAnswer: -g**3 + 289*g + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = -3 + 8. Let z(j) = j**2 + 3*j - 6. Let h be z(m). Let b be (-4)\/6*(-1 + -2). Solve -b = 3*r + h for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l = 3*x - 12, 16*l + 12 = -4*x + 20*l. Let a be (-3 + 20\/6)*9. Let j = -43 + 50. Solve a*t - j*t - 12 = x for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 235207575 to the nearest integer?\nAnswer: 15336","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 14 = -5*v, -v = 3*h - 0*h - 8. Let z be (-1 + -1 - -2)\/v. Let t = -5 - z. Put -2, t, 1 in increasing order.\nAnswer: t, -2, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 1 m when two letters picked without replacement from {j: 5, y: 1, l: 7, m: 3}?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 56451 to the nearest integer?\nAnswer: 238","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find m, given that 26*m**3\/7 - 1500*m**2\/7 + 8818*m\/7 + 408 = 0.\nAnswer: -4\/13, 7, 51","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 37724*k**3 + 37729*k**3 + 37730*k**3 - 113179*k**3.\nAnswer: 4*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 232, 235, 240, 247, 256, 267?\n\"Answer: w**2 + 231","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 19296131 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s + 282 - 230 = 5*d, 2*s = -12*d + 124 for d.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 4*h - 48 = 0, 7*d - 6*d = -5*h + 12. Let s(t) = t**2 + 8*t - 11. What is s(d)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*c + 6*c = -1480. Let j = c - 142. Let m be ((-1)\/j)\/((-21)\/126). Is 2\/69 greater than m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-420)\/490*2\/2)\/((-4)\/(96\/(-9))).\nAnswer: -16\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1165399511 to the nearest integer?\nAnswer: 1052","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 4 (b) -10.411 (c) -0.2 (d) -30 (e) 48\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -46*f + 2220. Determine l(50).\nAnswer: -80","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 307709.\nAnswer: 47, 6547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 397, -62, -5, 2 in increasing order.\nAnswer: -62, -5, 2, 397","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 307 + -306.5. What is the closest to 5 in 4, -7, z?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 781*m - 1570*m + 3*m**2 + 182 + 788*m to r*m**2 + v*m + t and give t.\nAnswer: 182","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate c**2*s - 4*c**2*w**2 - c*s**2*w**2 + 7389*s*w**2 - 715*w**2 with respect to s.\nAnswer: c**2 - 2*c*s*w**2 + 7389*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 179 divide 17444?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -0.203 * 184310\nAnswer: -37414.93","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -w**3 + 13*w**2 - 17*w + 6. Calculate the remainder when l(9) is divided by 36.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -40715243 or -40715242?\nAnswer: -40715242","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Are -8\/7931565 and 1 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 42 (base 5) to base 10\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (q**2 - 7*q**2 + 4*q**2)*(3*q - 2*q + 0*q) - 14*q**2 - 12*q**2 + 24*q**2 - 3*q**3 in the form t*q**2 + x + o*q**3 + r*q and give t.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1 (b) 3 (c) 11.1875779\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -14 + 32. Suppose 0 = 2*w - 5*d - 6, 0 = -5*w + d + s - 3. Suppose -3*c = -2*j - 482, 4*c + 109 = w*j + 752. What is the units digit of c?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 193 + -199. What is the tens digit of 43 + (54\/(-3))\/c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3821\/1477 - 23\/1477. Let 0*v + 0*v**2 + 0 - 3\/7*v**5 + i*v**4 - 15\/7*v**3 = 0. What is v?\nAnswer: 0, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1253 - 1240 + 65*j**2 + 2493.\nAnswer: 65*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 53715098?\nAnswer: 2, 283, 94903","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 2*s + s - 7 - 2*s. Let b be j(7). Solve 3*z + 4*t = 27, 3*z + b*z - 5*t = 0 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - 5 = -1. Let b be 23\/(-7) - 2\/(-7). Sort o, b, -1 in increasing order.\nAnswer: b, o, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 32 divide 766?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 288565 to the power of 1\/2, to the nearest integer?\nAnswer: 537","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 20*i**3 - 5*i**2 + 5. Let m(b) = 21*b**3 - 6*b**2 + 6. Give -5*m(y) + 6*s(y).\nAnswer: 15*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 699802 to the power of 1\/9, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 344 minutes before 6:52 AM?\nAnswer: 1:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - (2 + (-15)\/(-12)*4).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 374355 is divided by 22017.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5120, -2282, 556, 3394, 6232, 9070?\nAnswer: 11908","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 46476 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.054555867 + 11190?\nAnswer: 11190.054555867","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -8458, 7, 24, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (-20)\/((-10)\/2)*3\/4\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*g**4 + 0 - 4*g - 5 + 4 + 3*g**4 in the form h*g**4 + c*g + q + k*g**3 + m*g**2 and give q.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 + 111*s**3 + 72*s**3 + 152*s**3.\nAnswer: 335*s**3 + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -5.2 + 0.2. Let c = l + 4.63. What is c rounded to one decimal place?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(4 + sqrt(396) + -2)*4)**2.\nAnswer: 6144*sqrt(11) + 102400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.3 (b) -3845 (c) 3.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -303220301 - 2?\nAnswer: -303220303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 1 b when two letters picked without replacement from {w: 1, r: 1, g: 1, b: 1, o: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 + (2 + -1 - -1) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -4, 5, 69 in descending order.\nAnswer: 69, 5, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -76, -173, -294, -451, -656, -921?\n\"Answer: -2*d**3 - 83*d + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -2*x**2. Let z(g) = -4*g**2 + 25725*g. Calculate z(v(j)).\nAnswer: -16*j**4 - 51450*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 14*i**3 - 2*i**2 - 4*i - 4. Let v(t) be the first derivative of 27*t**4\/4 - 4*t**3\/3 - 7*t**2\/2 - 7*t + 1263. Give 7*d(g) - 4*v(g).\nAnswer: -10*g**3 + 2*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 0.1 (b) -2\/17 (c) 4.7 (d) -3\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 10*q**4*t*x - 8993*q**3*t**2 - 10*q*t**2 - 2*q*t + 85*t**2 - 19*t*x + 2*t wrt q?\nAnswer: 120*q**2*t*x - 53958*q*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.063 + 448.5420105703.\nAnswer: 448.6050105703","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/((k\/(k*k\/(k*k**(-2))))\/k*k))\/k**(-20)*k\/(k*(k**5\/k)\/k*k)*k**(1\/3) assuming k is positive.\nAnswer: k**(58\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w\/(w\/w**(-1\/25))*w*w\/(w*w**(-12))*w\/(w*w\/(w**(-8)\/w))*w*w**(-8\/15)\/w assuming w is positive.\nAnswer: w**(182\/75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand -m**3 + 6*m**3 - 2*m**3 + (-m - 2*m - m)*(-2*m**2 + m**2 - 2*m**2) + (-4*m - m + 4*m)*(2*m**2 + m**2 - 5*m**2).\nAnswer: 17*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1870 and 0.94?\nAnswer: -1757.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4.735 + -11.87. What is y rounded to the nearest integer?\nAnswer: -17","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 34 + -61 + 17 + -19.\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-90)\/(-6) + 9)*(50\/(-15) - -3).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -141833095.5 and 2263.\nAnswer: -141830832.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ccmrcccccccrccrmc. Give prob of picking 2 c.\nAnswer: 33\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -14 + (8 - (11 - 3))\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 23083 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -12 - -10.9. Let u = -0.1 - c. Which is bigger: u or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2122111202201 (base 3) to base 5\nAnswer: 330020104","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -923*u - 522*u + 391*u to the form o + x*u and give x.\nAnswer: -1054","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000643455364 to 7 dps.\nAnswer: 0.0000643","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46*m + 43*m = -192. What is m rounded to the nearest ten?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -115*i = -88*i. Let b(m) be the third derivative of -1\/300*m**6 + 0*m**4 + i*m - 1\/525*m**7 + 0*m**3 + 0*m**5 + 11*m**2 + 0. Find v such that b(v) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*w + 10336 = -10634. What are the prime factors of w?\nAnswer: 2, 3, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 41\/214211922 and -127\/3624.\nAnswer: 856847688","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*b - 37*b - 1855 = 30*b. Sort 0, b, 3, 5 in descending order.\nAnswer: 5, 3, 0, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.02095 rounded to 3 dps?\nAnswer: -0.021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 2140542 divided by -654\nAnswer: -3273","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*x = -0*x. Suppose -3*b + 10 - 7 = x. Let l = -45\/4 - -145\/12. Is b at least l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -899*d**2 + 217*d. Let u(t) = 25*t**2 - 6*t. Give 6*a(z) + 217*u(z).\nAnswer: 31*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) be the first derivative of l**4\/4 + 2*l**3\/3 - 3*l**2\/2 - 3*l + 11. What is the smallest common multiple of o(-2) and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 10\/3 of a millennium?\nAnswer: 40000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -2\/9 (b) -0.04 (c) -1\/18\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -646 = 40*v + 31*v - 37*v for v.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.7263 + 0.2737. What is the nearest to 4\/19 in r, 3\/5, -3?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -173*q + 191*q + 630 = 0. Put 2, -3, q in decreasing order.\nAnswer: 2, -3, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 109 + -83. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2185007 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 1281204540?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (c - 2*c + 0*c)*(3 - 3 + 2*c**3)*(428 - 428 + 52*c).\nAnswer: -104*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 50*o - 53*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 266 minutes after 1:07 PM?\nAnswer: 5:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*v + 11*v**3 - 15*v**3 + 2*v**5 + 5*v.\nAnswer: 2*v*(v - 1)**2*(v + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - 1 - 1 = 0. Is x - -14 - (-3 + 5) a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) be the second derivative of -x**3\/3 - 56*x. Let o(i) = -4*i**2 - 7. What is o(n(b))?\nAnswer: -16*b**2 - 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 9625313 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (0 - -1)\/(1\/(-17)). Let w = h + 25. List the prime factors of w.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 178 + -48. Let v = a - 126. Suppose 3*y - 2 = -2*h, -3*y + 3*h = -0*y + 3. What is the nearest to -0.2 in -2\/7, y, v?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -135750, -135754, -135754, -135750, -135742, -135730, -135714?\nAnswer: -135694","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7541 is divided by 920?\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1\/4 or 2103?\nAnswer: 2103","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sum 4646620 and 0.00201873.\nAnswer: 4646620.00201873","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 4915.869 milligrams in micrograms?\nAnswer: 4915869","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*m - m + 4*m + (0*m + m + 0*m)*(-2 + 4 - 3) - 3*m + 0*m + 0*m + 3*m - 15 + 15 + (3*m + 2*m - 2*m)*(-3 - 6 - 27).\nAnswer: -106*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/((u**(2\/7)\/u)\/u))**(11\/9)\/((u\/(u\/(u\/(u**(2\/3)\/u*u))))\/(u\/u**(-2)))*(u**(1\/4)\/((((u*u*u\/u**(-2\/3)*u)\/u)\/u)\/u))**(-1\/5) assuming u is positive.\nAnswer: u**(7897\/1260)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 32*q**2 + 14*q - 85. Let r(v) = -8*v**2 - 3*v + 19. What is -2*b(s) - 9*r(s)?\nAnswer: 8*s**2 - s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 4708979?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tphp when four letters picked without replacement from {l: 1, t: 13, p: 5, h: 1}.\nAnswer: 13\/5814","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 51474549?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 4*i. Let a be n(1). Calculate the common denominator of 0\/1 - ((-608)\/(-88) - a) and 31\/4.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine y so that -3993*y**5 + 5808*y**4 - 33*y**3 - 1410*y**2 - 348*y - 24 = 0.\nAnswer: -2\/11, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 87294450, 349177800, 785650050, 1396711200, 2182361250, 3142600200?\n\"Answer: 87294450*x**2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1157 + 1159. Solve 8 = t*j + 2 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kpp when three letters picked without replacement from kppkpppkpkkpkk?\nAnswer: 7\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 2*c + 2. Let k(w) = -529*w + 760. Let z(g) = -k(g) - 4*o(g). Differentiate z(t) wrt t.\nAnswer: 521","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.04, 41, 28?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 4*x**2 - 6*x + 2. Suppose 42 = 4*g + 3*f, -5*f = 1 - 11. List the prime factors of o(g).\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -18*q - 5*q**2 + 10*q + q**2.\nAnswer: -4*q*(q + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 1845, 1881, 1983, 2187, 2529?\n\"Answer: 6*b**3 - 3*b**2 + 3*b + 1839","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -59 + 61. Let d = 5 - 3. Suppose -s + 2*s = 0. Solve -k*i - d*i = s for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 6957.5 + -9961. What is j rounded to the nearest 10?\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor w**2\/10 - 30729*w\/5 + 61457\/10.\nAnswer: (w - 61457)*(w - 1)\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -309217747 divided by 47.\nAnswer: -6579101","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 23 + -1. Solve -10*a = -m*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 1, -1 in descending order.\nAnswer: 4, 1, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 115*a**3 + 24071649944*a - 114*a**3 - 24071649944*a.\nAnswer: a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 6*i + 3. Suppose -x - 5*j = 17, 4*x + 2*j - 5*j = 1. Determine q(x).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 17467?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 841813\/18 - 46775. Suppose -2*l - 1439 = -3*f - 1, 0 = -3*l + 2*f - 2152. Let w = -1467\/2 - l. Calculate the common denominator of b and w.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*m + 0*m + 19*m)*(-4 + 1 + 2)*(5*m - 14*m + m).\nAnswer: 184*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10777532 is divided by 116.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -29*f**3 - f**2 - 4*f - 8. Let w(g) = -g**3 - 5*g**2 + g + 3. Let s be w(-5). What are the prime factors of o(s)?\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 51300472 is divided by 1615?\nAnswer: 1612","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = u - 16. Let p be q(7). Let a(k) = 2*k + 11 + 6 - 2*k + k. Calculate the remainder when a(p) is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -d54 (base 16) to base 9\nAnswer: -4611","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 130\/(-40) + (-9)\/12. Which is smaller: p or -7\/2?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 115 + -120. Let z = -47 + 21. Let f = z - -79\/3. Which is the biggest value? (a) h (b) f (c) 3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3.6 - -10.4. Let a = 22 - q. Let p = -8.000036 + a. Round p to five decimal places.\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) be the first derivative of -3*n**5\/5 + 15*n**4\/4 - 9*n**3 + 21*n**2\/2 - 6*n + 4. Let p(k) = 0. Calculate k.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-37)\/2 - (-14 - -19) and ((-2)\/(-1))\/((-1320)\/218).\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*g - 217 - 95 = 0. Let u be 1*317 - ((g - 15) + -15). What is the greatest common factor of 85 and u?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -586 - -585.88. Which is the nearest to 1? (a) 5 (b) -2 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wu when two letters picked without replacement from uwuwwwjuwjwwwwwww?\nAnswer: 9\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (-5*sqrt(171)*2)**2 + (1 + sqrt(171))*1.\nAnswer: 3*sqrt(19) + 17102","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 212*d**4 - 932*d**3 + 844*d**2 + 260*d - 384 = 0 for d.\nAnswer: -32\/53, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*h**2 - h**5 + 3*h**2 + (13*h + 19*h - 11*h)*(-18 + 18 + 2*h**4).\nAnswer: 41*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 80, 118, 218, 410, 724, 1190, 1838, 2698?\n\"Answer: 5*y**3 + y**2 + 74","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = l. Let s(o) = -4*o + 5. What is n(s(m))?\nAnswer: -4*m + 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 29373 is divided by 125?\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3700 divided by -1850.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 17208 and 107550.\nAnswer: 430200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) be the third derivative of -l**7\/360 + 31*l**4\/24 + 3*l**2. Let p(i) be the second derivative of m(i). Let z(b) = b. Determine p(z(o)).\nAnswer: -7*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 236884?\nAnswer: 2, 59221","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1303653 (base 8) to base 15.\nAnswer: -725ab","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*p + 5*p - p.\nAnswer: -6*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.6? (a) -1 (b) -20 (c) 0.0083 (d) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (-104 + 60 + 43 - 384*o)*(36*o - 2*o - 8*o)*(3 - 4 + 4) as m*o**2 + h + s*o and give m.\nAnswer: -29952","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 9380 and 74288260?\nAnswer: 1340","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k + 147*j - 151*j = 38, 4*k - 3*j = 23 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 99951 to the nearest one thousand.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 12 - 11.99. What is the third smallest value in -1, v, 0?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 37 - 34. Suppose -1 + 10 = p*g. Solve -4 = g*m + 8 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -685a - -11656?\nAnswer: 58a7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -10670 or -177?\nAnswer: -177","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in one fifth of a microgram?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 6078.04 - 6078. Sort -0.4, c, -1, -1\/2, -3 in decreasing order.\nAnswer: c, -0.4, -1\/2, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -9\/815?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -155*x = -272*x + 4680. Let y(q) = -q + 8. Let d be y(0). What is the highest common factor of x and d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -158 = -2*w + 8. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -940825 or -940826?\nAnswer: -940826","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -0.4, 602, -1, -10, 0, -3?\nAnswer: 602","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (392\/(-101724)*-173)\/(((-14)\/(-180))\/1)?\nAnswer: 60\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -76*z + 153*z - 78*z. Let j(w) = 14*w**2. Calculate o(j(h)).\nAnswer: -14*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -13, -24, -5, -11 in ascending order.\nAnswer: -24, -13, -11, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 35 and 714?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 125 is divided by 35.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -i - 5. Let z be u(-9). Suppose 2*t + 57 = -7*n + 2*n, 0 = 4*t + z*n + 120. Let j = -23 - t. Calculate the highest common factor of 64 and j.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -40*j + 1. Suppose -11 = 2*a - 35. Suppose -8 = -4*k - a. Is 24 a factor of b(k)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 89 minutes after 12:03 PM?\nAnswer: 1:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 - 13*g - 41*g + g**2 + 9*g - 6*g**2 in the form c + i*g**2 + s*g and give s.\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*b - 2*b + 3*b)*(-5*b + 5*b - b + (1 - 2 + 3)*(3*b - 3*b - 2*b) + 2 + b - 2).\nAnswer: 12*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) be the third derivative of 3*m**4\/8 - 3*m**3\/2 - 20*m**2. Let v be (-3)\/9 - (-39)\/9. Let q(t) = 5*t - 5. Calculate v*c(d) - 7*q(d).\nAnswer: d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -y**3 - 232*y**2 + 22263*y + 111. Determine m(73).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yypp. Give prob of sequence pyyp.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -35\/9, 1, 3.26, -1.\nAnswer: -35\/9, -1, 1, 3.26, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*s**2 - 3*s + 0 - 4 + 5)*(-760*s**2 + 2087*s**2 + 2700*s**2) to the form d*s**3 + u + c*s**4 + n*s + q*s**2 and give d.\nAnswer: -12081","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bi when two letters picked without replacement from bqqwwwoqwgwqwqogioi?\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -14921\/9306 - 4\/517. Find the common denominator of z and -47\/8.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-37)\/(-7) - (-126)\/(-441)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b - 2*f - 14 = -b, -3*f = -3*b + 39. Let z = 117 + -117. Suppose z = 7*q - 3*q - 328. What is the remainder when q is divided by b?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -i + 15. Let u be f(10). Suppose u*n + 10 = -4*z, -5*z - 52 = -5*n - 17. What is the third derivative of 0*m + 0*m - 3*m**5 - 3*m**n - m**5 wrt m?\nAnswer: -240*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + ((sqrt(133) - (sqrt(133) - (sqrt(133) - (sqrt(133) + sqrt(133)*1*-3)) - sqrt(133)) - 4*(sqrt(133) + 2*sqrt(133)))\/(sqrt(14)\/(3*sqrt(50))))**2 + 3.\nAnswer: 273606","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -157 + 154. Let d be 8\/(-10)*(-2)\/(-4). What is the closest to d in 0.3, 0.5, r?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u, 1 p, and 1 w when four letters picked without replacement from {x: 5, p: 3, k: 2, j: 1, u: 6, w: 2}?\nAnswer: 15\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3374030073?\nAnswer: 3, 163, 293, 23549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*g = 3*g + 24. Let p = g - 2. Let k = -4 + p. Solve 0 = 3*s - k*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-20)\/(-150)*72\/(-64)*32*-5.\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 + 29*d - 15*d - 12*d)*(-13 - 21 + 3)*(-6 + 1 + 1) in the form j + g*d and give j.\nAnswer: 124","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 10*g - 3. Let u be j(3). Suppose 7*m = 4*m + u. Suppose 2*r = -3*h + 36 + m, 15 = -5*h. List the prime factors of r.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2.565 - -0.405. Let o = 0.03 + v. What is the third smallest value in 2, o, 1\/4?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence exg when three letters picked without replacement from ngegxnkgyxggxnxnnxxn?\nAnswer: 1\/228","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*i - 9, 1 = 4*m - 5*i - 18 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2822150 = 67*f - 72*f. Let x = -194430 + f. What is x rounded to the nearest one hundred thousand?\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine b, given that -b**2 + 171886*b + 515667 = 0.\nAnswer: -3, 171889","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = 5*y, 10*y - 7*y = -n. Which is smaller: 7 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1.9? (a) 2 (b) 0.1 (c) 2\/19 (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.75 + 0.75000306. What is z rounded to seven dps?\nAnswer: 0.0000031","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 27\/427055 and -41\/35?\nAnswer: 2989385","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (219492\/195 - (-2)\/5) + 108\/(-18). Calculate the greatest common divisor of 130 and a.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 152*t - 12*t - 793 - 47 = 0 for t.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 + 1 = -5*m. Let b(r) = r**2 + r - 1. Let k(v) = v**3 - 9*v**2 - 13*v + 10. Let f(c) = m*k(c) - 4*b(c). Calculate f(6).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -17037 - -16994. Which is bigger: q or -28?\nAnswer: -28","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 1 j when two letters picked without replacement from {u: 3, l: 4, j: 2}?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1465 and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 149, 43, -63?\n\"Answer: -106*r + 255","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 450544 is divided by 34?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 17673*f*y**4 + 2*f*y + 65379*f wrt y.\nAnswer: 70692*f*y**3 + 2*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23 = -2*w - 3. Find the first derivative of 4*j + 10*j - 22 + 3*j - w*j wrt j.\nAnswer: 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00153720598 rounded to four decimal places?\nAnswer: -0.0015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1160 - 1140. Solve -57*s - r = -61*s for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -11*j**5 - 12*j + 12*j + (-2*j + 2*j + j + 2*j - j - 2*j + (3*j - 5*j + 4*j)*(2 + 0 + 0) + j - 5*j + 3*j)*(-1 + 1 + 2*j**4) - 47*j**5 - 3*j**5 + 17*j**5.\nAnswer: -38*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -2*f, 5*r + 6*f - 182 = 2*f. Let t = r - 24. What are the prime factors of 1\/(3\/t)*3?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 38390 by 55.\nAnswer: 698","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2954767362?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) be the first derivative of 14\/3*k**3 + 21 + 0*k + 0*k**2 + 1\/4*k**4. Find the third derivative of c(t) wrt t.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 0 (b) -0.147 (c) -3\/238 (d) 4 (e) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = k**3 + 6*k + 10 + 0*k - k - 10*k**2 - 2. Let x be z(9). Let h = -9 - x. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 39445.\nAnswer: 5, 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 227, 261, 335, 449?\n\"Answer: 20*j**2 - 26*j + 233","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v - 5992 = -8*v. Suppose 140 - v = 3*x. Let d = -81 - x. What is the hundreds digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 92128 and 608.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*c + 6*c - 5*c)*(-2 - 8 - 6).\nAnswer: -128*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 514 minutes after 5:05 AM?\nAnswer: 1:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is p in -112*p**2\/5 + 1844*p + 106272\/5 = 0?\nAnswer: -41\/4, 648\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bb when two letters picked without replacement from bwbb.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 57484, 229937, 517362, 919759, 1437128, 2069469?\n\"Answer: 57486*a**2 - 5*a + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = y + 2*i - 2, -y + 3*i = 9. Let c = 3 - y. Solve g = 5, 4*l - 5*l + c*g = 14 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 2*g**2. Let u(r) be the third derivative of -r**4\/6 + 8*r**2. Give i(u(p)).\nAnswer: 32*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*p + 84 = -24*p. Let i = 16 + -15. Is i != p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -2*z + 26. Let a be f(11). Solve a = 3*n + 7 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(3\/19)*i\/(i*i*(i*i**(-37)*i)\/i*i))**(-1\/35) assuming i is positive.\nAnswer: i**(-649\/665)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9302 (base 11) to base 3.\nAnswer: 121221012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36*l + 196989 = 27033. What is the hundreds digit of l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z - 13 = -38. Suppose 5*u - v + 5*v = 25, 20 = -5*u + z*v. Sort u, 4\/5, -4.\nAnswer: -4, 4\/5, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n = 3*n - 1. Let l be (-155)\/(-30) + n - 4. Let r = 0 + 1. What is the nearest to -2 in r, l, 3\/8?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -81 + 83. Let f = 51 + a. Let k = -48 + f. Solve 15 = -5*m + k*x, 0*m - x + 7 = 3*m for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:46 PM and 8:34 PM?\nAnswer: 48","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*v = -8*v + 2*k - 75, -6*v + 4*k - 92 = 38 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 1 z when two letters picked without replacement from {f: 1, h: 1, s: 1, z: 1, n: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) be the first derivative of -7*x**3\/3 - 7*x + 3. Differentiate p(y) wrt y.\nAnswer: -14*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in one sixteenth of a tonne?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-10)\/(-2))\/((-253)\/(-1771))?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1882080*c*i*k + c*k - 2*i*k + 48827*k - 20 wrt c.\nAnswer: -1882080*i*k + k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) be the third derivative of j**5\/360 - j**4\/36 + 4*j**2 + 5. Determine o, given that k(o) = 0.\nAnswer: 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -12.86, 0.012, -24?\nAnswer: 0.012","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3137419 - 9346591.\nAnswer: -6209172","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) 0.47 (b) -0.3 (c) -4 (d) 0.2 (e) 999\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -53*v + 57*v = -3*z - 31, 35 = -3*z - 5*v for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.9, 4\/15, -1\/8, -1, 0.3?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2.1 in -2, -50, 3, 1\/2, 20?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 123 and 11091279.\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 41*r**2 + 3946*r + 266. What is p(-96)?\nAnswer: -694","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from sukshsksusskksksusss. Give prob of picking 1 k and 2 u.\nAnswer: 1\/76","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4242.\nAnswer: 2, 3, 7, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10 + 7 + 0)*(-1 + 2 - 2 + a).\nAnswer: 17*a - 17","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 8 + 2*i**2 - 14 + 5 + i**3. Let x be m(-1). Suppose x = -9*u + 4*u + 100. What is the highest common divisor of u and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = k**3 + 3*k**2 + 2*k + 1. Let g be z(-2). Suppose 7*i - 22 + 1 = 0. Differentiate -3 - 5*m + 6 - g - i with respect to m.\nAnswer: -5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*s - 2548 = -5*s. Suppose 0 = 8*d - 172 - s. Let t = d - 43. Solve -p + 7 = -3*p - t*y, 4*p - 21 = y for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 6752 + -6178. What is the remainder when v is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-6)*i**9*(i**(-2\/3))**47)**(-21) assuming i is positive.\nAnswer: i**595","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -4, 87, 2555, 86, 2 in ascending order.\nAnswer: -4, 2, 4, 86, 87, 2555","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 85842666 and 185042.\nAnswer: 16822","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand l**5 - 2*l**5 + 2*l**5 + (2*l**4 + l**4 - l**4)*(-3 - 2*l + 3) - 3*l**5 + l**5 + 3*l**5 + (-2*l**4 - 3*l**4 + 3*l**4)*(-3*l + 2*l + 2*l).\nAnswer: -4*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -121404222 (base 5) to base 8\nAnswer: -2144112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 4*v - 17. Let f be b(4). Let z be (-7*6\/(-84))\/(f\/2). Let w(n) = 1. Let i(p) = -3*p - 6. Let q = -19 - -13. What is q*w(d) + z*i(d)?\nAnswer: 3*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*o - 5*o - o**2)*(0*o - 2*o + 3*o)*(3*o + 3*o - 4*o)*(2*o - o + 0*o) + (-36*o + 19*o + 6*o)*(-4*o**4 - 6 + 6).\nAnswer: 42*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2 + 0. Let n = 3 - v. Factor -2*c - c - c + 0*c + n + 3*c**2.\nAnswer: (c - 1)*(3*c - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l - 100405 = -100485 for l.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 600, 554, 504, 450, 392, 330?\nAnswer: 264","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*h + 23*h = -32. Suppose 0 = -h*i + 1891 + 5133. What is the hundreds digit of i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1104 is divided by 72?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9\/5*y**3 - 3\/5*y**4 + 0 - 84\/5*y + 72\/5*y**2 = 0 for y.\nAnswer: -7, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3163 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 45679 - 40017 = 798*y + 45779 + 37289 for y.\nAnswer: -97","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = k**2 + 9*k + 9. Let z be g(-7). Let w be (-5)\/5*z - 2. Suppose -14 = -w*h + o, 2 = -h - 3*o + 5*o. Solve h*j = j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = u**2 - u. Let s be ((-30)\/75)\/((-2)\/30). Let h(t) = -3*t**2 - 3*t**3 + 3*t + 295 + 305 - 600. Give s*v(d) + 2*h(d).\nAnswer: -6*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2111111102210 (base 3) to base 4.\nAnswer: 11010112230","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is three quarters of a gram in milligrams?\nAnswer: 750","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 122 or 120?\nAnswer: 120","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 191.\nAnswer: 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -5*w**2 - 3*w + 21. Let l(j) = 11*j**2 + 7*j - 43. Determine -5*h(m) - 2*l(m).\nAnswer: 3*m**2 + m - 19","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 101101 (base 2) to base 7\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 378*g**3 - 4*g**2 - 4*g - 4. Let c(l) = 6048*l**3 - 63*l**2 - 63*l - 63. Give 4*c(k) - 63*n(k).\nAnswer: 378*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -2\/3 (b) 1.161 (c) -3\/7 (d) 139 (e) -3\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1846741 is divided by 17?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = q**3 + 3*q**2 - 6*q - 2. Let w be c(-4). Solve -b = 2 - w for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0081187262 to three dps.\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 66*r - 472. Give u(7).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) be the second derivative of b**4\/4 - 5*b**3\/6 - 9*b**2\/2 - 10*b + 2. Calculate n(5).\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4*(14\/21)\/(98\/(-21))?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -54 divided by 2.\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (5 + -4 + 2)\/(-1). Let k(q) = 3*q**2 + 3*q + 11. Let o(n) = n**2 + n + 5. What is p*k(y) + 7*o(y)?\nAnswer: -2*y**2 - 2*y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -2 + 8\/4 - (-10)\/1. Suppose -8*o + 10*o + y = 0. Put o, -2\/21, -3 in decreasing order.\nAnswer: -2\/21, -3, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(2430) + sqrt(90)\/(sqrt(3)*3) + sqrt(30))\/((1*sqrt(120)\/sqrt(2))\/((sqrt(6) + (sqrt(6) - sqrt(54)))*5)).\nAnswer: 385*sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 14210959 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*f - 17*f + 27 = j, 3*f = -12. Calculate the remainder when 55 is divided by j.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u**5\/4 + 123*u**4\/2 + 320*u**3 - 3135*u**2\/2 - 1279*u\/4 + 1506 = 0. Calculate u.\nAnswer: -8, -1, 1, 3, 251","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1256 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: What is the second derivative of 59624*g**3 - 2*g**2 - 26*g - 166 wrt g?\nAnswer: 357744*g - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 57 a factor of (-57)\/(-9)*(-79 - -979)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:20 AM and 1:28 PM?\nAnswer: 488","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vy when two letters picked without replacement from tvyvyttytty.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(-2\/3))**(5\/9))**(4\/25) assuming n is positive.\nAnswer: n**(-8\/135)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 4893259 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-16)\/(-18)*-6*(-4)\/(-16).\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 3*b - 2. Let n(w) = 16*w - 11. Let p(v) = 11*h(v) - 2*n(v). Let s(z) = 3*z + 7. Let k(c) = -c - 2. Let j(d) = -7*k(d) - 2*s(d). Calculate p(j(t)).\nAnswer: t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) be the second derivative of w**3\/3 - 2*w. Let r(t) be the third derivative of -2*t + 0*t**4 + 0*t**3 + 7\/60*t**5 - 47*t**2 + 0. What is j(r(g))?\nAnswer: 14*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 361 + -201. Is 17 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = 3*o, 0*r = -2*o + r - 1. Let t be (o\/14)\/(1\/(-2)). Let l = -2 - -4. What is the nearest to l in -2, t, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 85*b - 1046*b - 475*b - 106*b in the form u + w*b and give w.\nAnswer: -1542","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 103 divide 11210005?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -3*m - 1. Find the first derivative of -8*j**3 - 6 + m*j**3 + 5 + 2 wrt j.\nAnswer: -18*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 15 - 30. Let c = s + 14. Which is smaller: c or -0.4?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 + 3)*(4*x**4 - 2*x**5 - 4*x**4).\nAnswer: -6*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1742 - 1736. Solve -2 = 2*i - 2*b, 0 = 3*i + 2*b - 3 + v for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3086538 - -2447624124\/793. Let x = h - 64\/61. Let z = x - -40\/39. What is the third smallest value in z, 4, -4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) be the first derivative of -n**4 + 70*n**3\/3 + 51*n**2\/2 - 21*n - 3909. What is the second derivative of a(w) wrt w?\nAnswer: -24*w + 140","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 3*b + 126 = 0, -35*b - 186 = 4*s - 36*b. Let r = -101 + 59. Let m = r - s. Solve i - 15 = m*i for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:42 AM and 3:18 PM?\nAnswer: 576","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 3706925 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + 55 - (-27 + 0 + 278 + -263).\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -15 - -19. Suppose -3*n - v*p + p = -132, 3*n + 4*p = 131. List the prime factors of n.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32*z + 665 = -391. Which is greater: 35 or z?\nAnswer: 35","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -97*g - 20 = -92*g. Let j(y) = -y**3 - 6*y**2 - 6*y - 7. Let h be j(-5). Let w = -0.4 + 0.9. What is the nearest to -5 in h, g, w?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*r + 301 - 309 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1 + (-2)\/(-1 + -1). Let j(v) = 2*v + 2. Let m(s) = -5. Let w(n) = 1. Let i(x) = -m(x) - 6*w(x). Calculate a*i(k) + j(k).\nAnswer: 2*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(448) + 1 + 6*sqrt(42)\/sqrt(6).\nAnswer: 1 + 14*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p + 55*x = 53*x + 5, 2*p + 6*x = -20 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2524.87 millennia to months.\nAnswer: 30298440","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9 + -37 + (4 - (3 + -4 + -3 + -2)).\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (60\/(-9))\/(-5) - (-33)\/9. Calculate the remainder when 82 is divided by 7*6\/30*z.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 640*g - 816*g = 3344 for g.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3404176, 3404173, 3404170, 3404167, 3404164?\nAnswer: 3404161","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 432609 is divided by 6407?\nAnswer: 3340","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -12*l**3 + 14 + 26*l - 13 + 27*l - 51*l. Suppose 4*v - 4*n + 29 = n, -2*v + 18 = 4*n. Calculate z(v).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - 40 = -10*x. Suppose -w - 32 = -3*a - 116, 454 = x*w + 2*a. Is 12 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0 + 0. Let l(d) = -d**3 + 2*d**2 - d - 1. Let v be l(2). Let t be (-18)\/4 + (-9)\/v. Which is the nearest to 0.2? (a) t (b) -5 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*r + 4*j - 16 = 0, 4*j + 4 + 12 = 5*r for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) be the first derivative of -2*t**2 - 1\/20*t**5 + 1\/4*t**4 + t + 1 + 0*t**3. Let i(s) be the first derivative of k(s). Factor i(d).\nAnswer: -(d - 2)**2*(d + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1 + 4. Suppose -4*n - t + 15 = 0. Let u(v) = 4*v**2 - v**3 + 6*v + 3*v**n - 6 - 3*v**3. Calculate u(5).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t = 5*t + 9. Let j be 2249\/4 + t\/4 + 0. Suppose p - r - 105 = 11, 5*p + 4*r - j = 0. What is the tens digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine d so that -2*d**5\/9 + 10*d**4\/9 - 14*d**3\/9 + 2*d**2\/3 = 0.\nAnswer: 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 2, a: 1, s: 5, e: 11}. Give prob of sequence as.\nAnswer: 5\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a micrometer in nanometers?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -9*p**3 + 6*p**2 - 6. Suppose -3*u - 3*u = -24. Let k = -10 + u. Let b(y) = y**3 - y**2 + 1. What is k*b(c) - l(c)?\nAnswer: 3*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 15 and 2330140?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*j**5 + 3*j**5 + 2*j**5 + j**5 - j**5 + 2*j**5 + (5*j + 0*j - 4*j)*(j**3 + j**4 - j**3) + (3*j**4 + 0*j**4 - 4*j**4)*(-2*j + 3*j + 2*j).\nAnswer: 2*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1 - -1. Suppose 5*s + 2*t + t + 40 = y, 24 = -3*s + t. Let i = 3 - s. What is the tens digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 17 - 7. Let l = 57 - 12. Let p = l + -26. Calculate the remainder when p is divided by z.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -v**3 - 15*v**2 - 38*v + 49. Give j(-11).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from aavaaava. Give prob of picking 1 v and 3 a.\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21724 is divided by 79.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r + 10 = 8*r. Calculate the remainder when 226\/4 - r\/(-4) is divided by 15.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 18135\/3900 + 10\/(-8) + -1.\nAnswer: 12\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 181116 and 12404124.\nAnswer: 4644","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 266 - 92. Let t be p\/24 - (-2)\/(-8). Solve -5*l - 3 = t for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.88 + -3.12. Which is the third biggest value? (a) 0 (b) 0.2 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) be the third derivative of -x**5\/15 - 14*x**2. Let k(p) = -9*p**2. Determine k(d(h)).\nAnswer: -144*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:54 AM and 6:12 PM?\nAnswer: 558","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sum 178 and -0.441.\nAnswer: 177.559","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 676 minutes before 1:47 PM?\nAnswer: 2:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 208 and 11.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.12567269 equal to 59?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40 = 17*u - 15*u. Let m be ((24\/(-14))\/(-1))\/(u\/210). Calculate the greatest common divisor of m and 24.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 divided by -65493173.\nAnswer: 7\/65493173","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 6.002 + -0.002. Which is smaller: 0.1 or a?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-8331)\/66648*4*(-4)\/(-138)\nAnswer: -1\/69","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -383\/494250 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 395824 a multiple of 692?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3284*b - 3322*b + 1368 for b.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1ce + 4?\nAnswer: 1d3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) be the third derivative of -h**6\/180 + 4*h**5\/135 - h**4\/36 - 2*h**3\/27 + 2*h**2 - 39*h. Factor n(k).\nAnswer: -2*(k - 2)*(k - 1)*(3*k + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 7 + -5. Suppose p - 42 = -s*p. Does 5 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3463.44 nanoseconds in microseconds?\nAnswer: 3.46344","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1)\/4 - 837\/(-372). Suppose 839 = -j*s + 2321. What is the units digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -11 + 11 - (8 - 0) - (-54 + 73)?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(3*-2*(-3 + sqrt(40)\/(sqrt(8) + sqrt(128) - sqrt(8)) + -2*sqrt(125))*5)**2.\nAnswer: -1743525\/4 - 52650*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) be the first derivative of o**4\/8 + o**3\/3 + o**2\/4 - 3. Determine n so that q(n) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 47 + -27. Let d = -47521 - -47523. Solve 0*t + 2*t + 8 = m, 5*t + h = -d*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -86, -94, -116, -158, -226, -326, -464, -646?\n\"Answer: -y**3 - y**2 + 2*y - 86","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s = 3*s - 162. Calculate the highest common factor of s and 36.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 29 - -71. Suppose -8*x - z = -4*x. Let w = x - -51. What is the units digit of w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -w**2 - 12*w - 9. Let y be r(-6). Let x = -156 - -158. Suppose 3*d - x*v = 23, 4*v - y = -4*d + 3*v. Solve j - 9 = 5*s, 0 = j - 2*j + 4*s + d for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7525 a multiple of 215?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -1*120860\nAnswer: -120860","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = l**3 + 8*l**2 - 3*l - 6. Let t(v) = v**2 - 7*v + 10. Calculate the remainder when h(-8) is divided by t(6).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -3*b. Let t(a) = -18351*a**2 + 1. Calculate t(s(r)).\nAnswer: -165159*r**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (9\/297)\/(3\/(-18)).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) be the second derivative of 517*q**4\/4 + 243*q**3 + 556*q - 4. Find the second derivative of n(y) wrt y.\nAnswer: 3102","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 30*i - 20*i - 140. Solve -5 - 13 = -2*k - 3*q, 2*k + 2*q - i = 0 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 107, 105, 101, 95, 87, 77?\n\"Answer: -k**2 + k + 107","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3\/8 in 4, 4\/5, 2, -11?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/(j\/(j**(-22)*j*j*j)))\/(j\/(j\/((j*j**(-13))\/j))))\/(j*j**(2\/9)*j*j*j*j**(-1\/6)) assuming j is positive.\nAnswer: j**(-181\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 143287902?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 52 is divided by 35?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 12 = -4*i, -2*j - 5*i = 3*j - 20. Let q(n) = 0 - n + 1 - j. Determine q(3).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 17062*v - 26538 wrt v?\nAnswer: 17062","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.1 < 4\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 530 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -6\/19, 3\/2, -932, 0.3?\nAnswer: -6\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 r when four letters picked without replacement from rreyyywyevrre?\nAnswer: 1\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + 41 = -5*i, 49 = -4*x - 0*i + i. Let p = -5 - x. Let q(h) = 26*h + 59. Let d be q(-2). Solve 3*j + p = d*j for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -l**2 + 4*l + 2. Let x be z(-4). Suppose 2*h - 5 = 9. Calculate the remainder when h is divided by ((4\/(-4))\/2)\/(3\/x).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 151 divide 7936523?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*g + 2*g + 2*g)*(1 + 0 + 0)*(-29 - 96 - 34) to h + a*g and give a.\nAnswer: -318","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 204530 is divided by 544?\nAnswer: 530","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.03056 + 0.0310242. Round i to five dps.\nAnswer: 0.00046","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3851524 or -4?\nAnswer: -3851524","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 41288 and 156.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 45088589?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 88 (base 14) to base 16\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 9*c. Let f(u) be the first derivative of -1\/3*u**3 + 0*u - 3 + 0*u**2. What is f(m(g))?\nAnswer: -81*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 0.07 (b) -425 (c) 0.4 (d) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = v**3 - 3*v**2 - 3*v + 3. Let c be t(4). Suppose -3*u - c = -u - 3*d, -3*d = u - 10. Let l(s) = 5*s**2 + s. What is l(u)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (45\/(-18))\/((-2)\/(-4))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -3.64, 2\/9, -2, 1\/2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = z**2 - 1. Let w(j) = j**2 - j + 6. Let d be w(0). Let n(m) be the second derivative of -3*m**4\/4 + 3*m**2 - 1944*m. Give d*q(p) + n(p).\nAnswer: -3*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2566172.\nAnswer: 2, 7, 37, 2477","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 932, 3727, 8378, 14879, 23224, 33407, 45422, 59263?\nAnswer: 74924","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-9)\/(-147)*-2)\/((-9)\/21).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (0*(-4)\/24)\/1. Let o be (-9)\/(-4) + 8\/(-32) - h. Which is the closest to o? (a) -0.12 (b) -1\/9 (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -21 - -24. Is (-3 - -2)*(-722 + m) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -75 = -5*a + 220. Let x = a - 68. Is 4 a factor of 72 - 4 - x\/3 - -1?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 942 is divided by 313.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (1 - (-42)\/(-9))\/(27\/405). Let r be m\/(3 - -2) + 16. What is z in 40\/13*z**4 + 22\/13*z**r - 44\/13*z**2 + 4\/13 - 8\/13*z**3 - 14\/13*z = 0?\nAnswer: -1, 2\/11, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -28935 divided by 62?\nAnswer: -28935\/62","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Determine s so that -9*s**5 + 15*s**4 + 6*s**3 - 18*s**2 + 3*s + 3 = 0.\nAnswer: -1, -1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4952, 9978, 14902, 19670, 24228, 28522?\nAnswer: 32498","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find a, given that 2*a**2\/25 + 4584*a\/25 + 2626632\/25 = 0.\nAnswer: -1146","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 15136 (base 7) to base 13.\nAnswer: 1ba6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/50 of a tonne in kilograms?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 157264410 a multiple of 670?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 4 + 1876552?\nAnswer: 1876556","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nitzs. Give prob of picking 1 t and 1 n.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 11 + -470?\nAnswer: -45e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3 - 0.236824.\nAnswer: 2.763176","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/1*30\/6\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 2.635249 weeks?\nAnswer: 18.446743","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = 2*q - 430, 3*z - 867 = 7*z + 3*q. Is (6 - -1) + (-3 - z) a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = f. Let h be 618\/12 - (-2)\/(-4). Let y(k) = 9*k. Let n(j) = j. Let w(l) = h*n(l) - 6*y(l). Determine s(w(d)).\nAnswer: -3*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 279 - 89. Let h = a + -191.49. What is h rounded to one decimal place?\nAnswer: -1.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36*n - 264 = 4*m, -47*m - n - 4 = -48*m for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 783*h + 46600 = 389*h - 41*h - 730*h for h.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let 20*k**4 + 1845*k**3\/2 + 9220*k**2 - 65325*k\/2 + 22500 = 0. Calculate k.\nAnswer: -25, -24, 1, 15\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-21)\/(-7) + 31 + 1. Suppose w = 4*d - 25. Is d a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -u**2 + 5*u. Let v be (-3)\/12 + 10\/8. Let k(y) = -y. Let d(c) = v*m(c) + 5*k(c). Let p(x) = -3*x. Give d(p(w)).\nAnswer: -9*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -88*d**3 + 14948*d**2 - 633760*d - 86700.\nAnswer: -4*(d - 85)**2*(22*d + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 51279780?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 5 (b) -3\/2 (c) 0.3 (d) -207 (e) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 80.4, -2\/11, 59.1 in descending order.\nAnswer: 80.4, 59.1, -2\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -i**4*u**3 - 3*i**3*u*y + 3*i**2*y + 4*i*u**3 - 29*u**3*y + 1 wrt i.\nAnswer: -12*i**2*u**3 - 18*i*u*y + 6*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 3177071 and -0.3?\nAnswer: -953121.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 19686\/(-6592) - (-381)\/127 and -83\/1442.\nAnswer: 23072","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - 7) + (-234)\/(-27).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (l - l - l**3)*(108*l + 36 - l**2 - 107*l - l**2) - 5*l**5 - 3*l**5 + 4*l**5.\nAnswer: -2*l**5 - l**4 - 36*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 5463345 and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 2846, 22096, 74358, 176138, 343942, 594276?\n\"Answer: 2751*f**3 - 7*f + 102","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(-3 + 4*(1 + sqrt(605)) + (2 + -1 + sqrt(605) - (sqrt(605) - (5 + -1 + sqrt(605)))**2)).\nAnswer: -42 + 165*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.1 (b) -5 (c) 1 (d) 1\/38 (e) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 12 + -12.00019. What is f rounded to 3 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -470065 - 470064 + 1410188 - 470061 + 90*m.\nAnswer: 90*m - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 4*n. Let d(i) = 11*i**2 + 763*i - 33. Determine u(d(l)).\nAnswer: 44*l**2 + 3052*l - 132","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 3*i = -51. List the prime factors of i.\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**0)**(-13\/2))**21 assuming z is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -q**3 + 71*q**2 - 283*q + 1104. Calculate k(67).\nAnswer: 99","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/((b**(2\/3)\/b)\/b))**(-36)\/(b*b\/b**11*b*b*b*b*b**(-9)*b*b) assuming b is positive.\nAnswer: b**(-72)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 11*i**2 - 2*i + 3. Let z be j(1). Suppose 2*h = -4*a - z, 0*a = a + 4. What is the closest to 0.1 in h, 0.1, 0.5?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 102 a factor of 406062?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-235)\/(-94) + ((-405)\/6)\/5.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -7*j + 65. Let q = 641 + -633. Let h be t(q). Solve 0 = -3*a + h*a - 12 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -127532339 - 0.4.\nAnswer: -127532339.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 3, d: 3, a: 2, r: 3, w: 8}. Give prob of picking 1 d, 1 t, and 2 w.\nAnswer: 21\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*l - 4*h + 295, 3*h + 2*h - 206 = -2*l. Suppose b = -4*z - l - 78, -2*z = -b - 153. What are the prime factors of 12\/30 + b\/(-15)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40*u**4\/7 + 854228*u**3\/7 + 4561385208*u**2\/7 + 7751373876*u\/7 - 2735959896\/7 = 0. What is u?\nAnswer: -10677, -2, 3\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 196394807?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3424 and 496.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:23 PM and 1:08 AM?\nAnswer: 705","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s*s*s*s**43*s*s)\/(((s\/s**(3\/5))\/s)\/s))**(-39))**(1\/27) assuming s is positive.\nAnswer: s**(-3224\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 28 and 188187?\nAnswer: 5269236","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 13.15 - 20.3. Let t = 0.35 - f. Round t to the nearest integer.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -300 + 576. Suppose 238 = 4*c - 2*u - l, 2*c - 248 = -2*u. Does 17 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -2*h - 1. Let s(k) = -3*k - 1. Let v(x) = -5*o(x) + 2*s(x). Let t be v(3). Suppose 2*p = -5 + t, -5*p = 3*l - 586. What is the tens digit of l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4482 to the power of 1\/3, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 91386153 - -6\nAnswer: 91386159","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 31104 and 90.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = 4*k + 2 - 24, -3*x - 3*k = -45. Solve 7*z = x*z + 60 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-63)\/9 + 9)*1\/(-2). Is 1\/y + 2528 + -6 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -78 + 1 + 1 - 2. Let v be g\/(-8) - (-1)\/4. Let f = 24 - v. Is f a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -4171, -3729, -2521, -163, 3729?\n\"Answer: 64*n**3 - n**2 - 3*n - 4231","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1923161 + 1917232 = -847*b for b.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -v**3 - 6*v**2 + 7. Let q be a(-6). Let r = 1 - q. Let o(s) = -10*s - 12. Is 16 a factor of o(r)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*i = -6 - 20. Let k be i + (-9 + 10 - (1 - -1)). Let a(v) = 3*v**3 - 4*v**2 + 4*v - 1. Calculate a(k).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -84 - -214. Let h be 2\/11 - c\/(-11). What is the derivative of 6*o - 7*o + o - 6*o**3 - h wrt o?\nAnswer: -18*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 43*k = -2*d + 40*k + 3, -3*d - 12 = -k for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 3*w**3 + 54*w**2 - 13*w + 100. What is the hundreds digit of k(-17)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 231*x**3 + x**2 - 92*x?\nAnswer: 1386","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (10 - (-2 - -3)) + 2 + -3 + 1?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (63*j**3 + 243*j**4 + 61*j**3 - 123*j**3)*(-6 + 2 + 29).\nAnswer: 6075*j**4 + 25*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 (base 10) in base 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 448 + -869\/2. Suppose -10*l + 154 = l. Is t equal to l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*w = 102*w - 1042920. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (146\/(-219))\/((-2)\/39).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.06302 or 2307?\nAnswer: 0.06302","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-84)\/(-98))\/((-2)\/(-7)). Solve -z*r + 4*l + 13 = 0, 6*r + 3*l = 4*r - 14 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -1\/8 (b) 2 (c) 2\/57 (d) -0.122 (e) 9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -5b + 318?\nAnswer: 29b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.03 + -0.13. Let v = -2.9 + h. Let q = v - -3.000003. What is q rounded to five decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -122*y - 48 = -106*y for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 78802666.\nAnswer: 2, 4273, 9221","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(1\/3))**(-6\/11))**(25\/4) assuming h is positive.\nAnswer: h**(-25\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = -5*h + 10*h - 3*v, -v = -5. Suppose 0 = c - 2*b - 15, 3*b = -2*c + h + 29. Solve 2*y + c = -y + r, 4*y + 11 = -r for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2406357*o - 1203185*o - 4 - 1203184*o - 9 + 3.\nAnswer: -12*o - 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -8686.20503 rounded to the nearest 10?\nAnswer: -8690","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6515.\nAnswer: 5, 1303","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-105)\/(-42) - (0 + 22\/12))*-15?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Determine u so that 5*u**3 + 455*u**2 + 8840*u - 9300 = 0.\nAnswer: -62, -30, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/7, -1, 22, -0.1 in decreasing order.\nAnswer: 22, -0.1, -2\/7, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 2 + 6)*(7 + 3 - 2)*(65 + 71 - 131)*(-3*s - 2*s + 2*s)*(-4 + 3 + 2).\nAnswer: -480*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2367401007?\nAnswer: 3, 19, 37, 439, 2557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -196650 divided by 1725\nAnswer: -114","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 5*w + 4 = 0. Let u = w + 12\/5. Which is the third smallest value? (a) u (b) -0.4 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -406 - -407. Let t(x) = 10*x + 197. Let u be t(-20). What is the smallest value in r, 12\/17, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27 = -5*b - 2. Suppose -k = 2*k - b*c - 14, 4*c + 1 = -k. Suppose 11 = k*i + 2. What is the units digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*k = -76*k + 220 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -5 (b) -0.2 (c) 0.4 (d) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 22178 to the nearest integer?\nAnswer: 149","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c, 1 w, and 1 a when three letters picked without replacement from {a: 1, c: 2, w: 1}.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -68189261 times -14\nAnswer: 954649654","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/11, -1, 21.74 in ascending order.\nAnswer: -1, 2\/11, 21.74","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*f - 12*h + 6*h = 5*h + 76, 2*f - 8 = 2*h for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -x**2 - x + 1. Let v(j) = 4*j**2 + 6*j - 13. Let u(k) = -v(k) - 5*w(k). Is 8 a factor of u(0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*j**2 + 6*j**2 + 12*j**2 to the form k*j + u*j**2 + v and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 25344 and 8448?\nAnswer: 25344","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 1588, 1603, 1674, 1831, 2104, 2523, 3118?\n\"Answer: 5*y**3 - 2*y**2 - 14*y + 1599","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -33 in -522, 6, -0.7?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 387011 bigger than 387015?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(-5)\/u*u)\/(u\/u**(-2)))**(-10)*(u*(u\/(u**(-2\/7)\/u))\/u)**8\/(u**(-1))**(18\/5) assuming u is positive.\nAnswer: u**(3566\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence md when two letters picked without replacement from {d: 12, m: 6}.\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -2*o**3 + 29*o**2 - 73*o - 16. Let l be t(11). What is the greatest common divisor of 119 and l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (65 - 69) + -5 + 4 + -10.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -96034, -384093, -864146, -1536193, -2400234?\nAnswer: -3456269","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -25 + 13. Let n = s + 12.000054. Round n to 5 decimal places.\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2638 - 498*g - 2638 + (-5 + 5 + 1)*(-2*g + 7 - 7) in the form k + w*g and give w.\nAnswer: -500","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (414\/391)\/((-312)\/52)\nAnswer: -3\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-72)\/156*7\/7\nAnswer: -6\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:37 AM and 5:20 PM?\nAnswer: 463","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -126634, -253341, -380048, -506755?\n\"Answer: -126707*n + 73","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(-3\/4)*i**(2\/19))\/(i\/((i*i**(-2\/7)\/i)\/i)*i*i**(-3\/2)\/i))**39 assuming i is positive.\nAnswer: i**(-29679\/532)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 42, 50, 64, 84?\n\"Answer: 3*b**2 - b + 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 223 a factor of 110975887?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 6\/7*(-63)\/(-18). Suppose 2*n - 7 = c. Suppose 162 = n*j - 448. List the prime factors of j.\nAnswer: 2, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.30509921 to 3 dps.\nAnswer: 2.305","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 3 + 0)*(4 + 3 - m + 12)*(-1 + 0 + 2).\nAnswer: m - 19","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1088)*-2*5*3.\nAnswer: -240*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2*1)\/(38\/(-57)). Let o be (j - (-32)\/(-28)) + -2. Let f = -0.3 - 0. Sort o, 2, f in ascending order.\nAnswer: f, o, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) be the second derivative of -4*x**3 + 53*x**2\/2 + 4108*x. What is o(4)?\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -2*c. Let g = 44 + 44. Let m = g - 86. Let a(w) = -2*w + 22*w + 6*w - m*w. Determine t(a(y)).\nAnswer: -48*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -8*j - 32. Let k be z(-11). Suppose 5*a - 129 - k = 0. Suppose -2*b + 440 = 4*u, 3*u - 2*b + 113 = 4*u. What is the remainder when u is divided by a?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*o**2\/3 + 125*o - 370\/3.\nAnswer: -5*(o - 74)*(o - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) be the second derivative of 1\/3*m**3 - 3*m + 0 + 0*m**2. Let g(b) = 3*b. What is g(y(r))?\nAnswer: 6*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2 (b) 39\/7 (c) -4 (d) 5\/6 (e) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.1187 or 8.58?\nAnswer: -0.1187","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3.3215 + -0.0921308.\nAnswer: 3.2293692","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -6*s**3 + 7*s**2 - s - 10. Let k(g) = -5*g**3 + 6*g**2 - g - 8. Let i(t) = 4*k(t) - 3*u(t). Give i(2).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 22018 (base 11) to base 9\nAnswer: 47754","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.5 - -7.5. Let k = -171.4 - 23.6. Let z = 197 + k. Sort t, -4\/7, z.\nAnswer: -4\/7, z, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 133309 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5116, 10247, 15384, 20527?\nAnswer: 25676","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 87*r**3 - r**2 + 6*r - 88. What are the prime factors of w(6)?\nAnswer: 2, 7, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h when two letters picked without replacement from {h: 1, r: 3, x: 1, b: 5}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 6 (b) -116 (c) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1678794256 to the power of 1\/2, to the nearest integer?\nAnswer: 40973","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = 92 - 86. Solve 2 = -w*b + 2*b for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2139*t + 1275*t - 64 + 78 - 14 in the form u + g*t and give g.\nAnswer: 3414","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -380 in -12, -1\/3, -1\/7, 0.1, 0.01?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) be the second derivative of 149*w**3\/6 + 57*w**2 - 6*w + 7. What is the derivative of n(m) wrt m?\nAnswer: 149","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in 0.3, 1\/9, -1, 11.3, -0.3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -3*j - 1. Let w be 8 + -5 + -1*25. Let q be d(w). Let h = 109 - q. What is the tens digit of h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1 - -1. Let k = -50.5 - -51. Which is the nearest to u? (a) 2 (b) 5 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2448)*3*-5*-6)**2 - (2 + 3*sqrt(2057) + 0)**2.\nAnswer: -132*sqrt(17) + 19810283","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 97\/7841634 and -28\/255.\nAnswer: 666538890","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = -2*s + 20. Let f(h) be the second derivative of h**4\/8 - 5*h**3\/6 - h**2 + h. Let b(y) be the first derivative of f(y). Calculate b(s).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 7) to base 14.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.001013475749 to 5 dps.\nAnswer: -0.00101","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or 3\/118498?\nAnswer: 3\/118498","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor i**3\/5 - 1022*i**2\/5 + 258028*i\/5 + 1585176\/5.\nAnswer: (i - 514)**2*(i + 6)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.1 and -116267655733.\nAnswer: -116267655733.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 128*u**3 + 41*u**2. Let v(q) = 43*q**3 + 14*q**2. Calculate 17*v(r) - 6*x(r).\nAnswer: -37*r**3 - 8*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Are 3 and 5789806 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 297 + -392. What is the remainder when 57 is divided by (-38)\/r - (-24)\/(-10) - -24?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 410493313.\nAnswer: 3359, 122207","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l = -3*l - 10. What is the third derivative of -12*n**5 - 2*n**5 + 0*n**l + 12*n**2 wrt n?\nAnswer: -840*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 10 - (-9 + (-55)\/(-11)). Let b(n) = -1 - 6 - 7*n + 0 + 2 - n**3 + 20*n**2. Is b(f) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.29 - -0.01. Let h = b - 5.3. Let l = -1.06 - -0.06. What is the nearest to l in -4, -0.2, h?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*m - 354 = -2004. Is m a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5*1*(-8)\/20\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -11, -2\/15, -0.5, 2, -0.09 in ascending order.\nAnswer: -11, -0.5, -2\/15, -0.09, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*n + 26*n + 1601 = 4*v, 2*n + 3*v - 1069 = 0. Calculate the greatest common divisor of 289 and n.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a week in minutes?\nAnswer: 12600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a = -v - 1, -5*a - 11 = -0*v + 3*v. Calculate the lowest common multiple of 10\/a*(-3 - -1) and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 2*u**3 - 37*u**2 + 41*u - 40. Suppose -4*k = -3*d - 0*d - 79, -3*d = -2*k + 41. Is v(k) a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -10 - -15. Suppose 0 = -2*g + 2*d - n*d + 15, -4*d - 20 = 0. What are the prime factors of g?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 125227659 to the nearest integer?\nAnswer: 11191","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*w = 23*w + 728000. What is w rounded to the nearest one hundred thousand?\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6682 - 20050 - 4*k + 6675 + 6682 - 117*k**2 to the form r + b*k + c*k**2 and give c.\nAnswer: -117","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-1)\/(-5))\/(-5*1\/(-75)). Let y be (-1)\/4*(-5809 - x). Suppose 2*i + 2*u = -3*i + y, -4*i = -3*u - 1167. What are the prime factors of i?\nAnswer: 3, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -21514380891071.2000386 + 21514371430095. Let f = k - -9460977. Let p = f + -0.8. What is p rounded to six dps?\nAnswer: -0.000039","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4 in -0.02, 4, -2, 2\/7, 0.9?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((1 + 0 + 1)*(3*k + 2*k - 3*k) - 3 + 3 - k)*((-1 + 5 - 3)*(0 + 1 + 0) - 1 + 2 + 0 - 1 + 2 - 4).\nAnswer: -3*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -2*r**2 - 31*r - 34. Calculate m(-14).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 145 a factor of 845919958?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -6 + 5 + (24 - 14) + (1 - -24)\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*(2*(sqrt(228) + sqrt(228)*-1) + sqrt(228) + sqrt(228) + sqrt(228)))\/((sqrt(12) + (sqrt(12) - ((sqrt(144)*-1)\/sqrt(12) + sqrt(12))))*-6))**2.\nAnswer: 475\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n + 4*p - 16 = 0, n - 3*n + 13*p = n - 62 for n.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:13 PM and 1:09 AM?\nAnswer: 296","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 73 - 64. Let t be (4 - (-183)\/m) + (-2)\/6. Let f be -1 + 1\/(6\/t). Solve 3*z + 5*j + 4 = 0, -f*z + 4 = -0*z + j for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = r**2. Let w = -18 - -20. Let v(s) be the third derivative of 1\/30*s**5 + 0*s - w*s**2 + 0*s**3 + 0 + 0*s**4. Give v(m(t)).\nAnswer: 2*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 283733, 567467, 851201?\n\"Answer: 283734*v - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = f**3 + 7*f**2 - f - 7 + f - f**2 - 2*f. Let c be s(-6). Suppose -2*d = -c*h - 30, -5*d + 5*h = -d - 40. Solve 6 = -d*y + 1 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 20 = n. List the prime factors of n.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 45\/(-36)*12 - -1\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) be the first derivative of -9*q**2 - 4*q - 1620. Let i(s) = -18*s - 5. Determine -5*i(p) + 6*v(p).\nAnswer: -18*p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*d + 0*d**3 - 5 - 3119*d**4 + 3122*d**4 + 4*d**3 to the form v*d + z*d**2 + r*d**3 + a + n*d**4 and give r.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*g - 868 = -13*g. What are the prime factors of g?\nAnswer: 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 198 - 165. Solve 18*h + t = -57 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-9)\/(-3))\/((-120)\/16*3\/5).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = y**3 - 5*y**2 + 13*y - 16. What is h(3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uf when two letters picked without replacement from fsffffofsofufuu?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*((sqrt(567) - (sqrt(567) + -1)*-1) + 4*(sqrt(567) + -1)) + 3)**2 + -1.\nAnswer: -5832*sqrt(7) + 184031","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 73032553?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -14107, 5 in ascending order.\nAnswer: -14107, -4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 5*m**3 - 214*m**2 - 38*m - 574. Give x(43).\nAnswer: -359","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3 + 0. Suppose v*j - 35 = -g, 0 = 4*j - 0*g - 3*g - 25. Let k = j - 10. Solve k = -2*y, -y - 12 = 4*a - 5*y for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14754?\nAnswer: 2, 3, 2459","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 591 minutes after 10:26 AM?\nAnswer: 8:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -3\/232 (b) 1262230 (c) 1\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -16489853, -16489854, -16489855, -16489856?\nAnswer: -16489857","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 62617 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 6 + -8 + (0 - 2) + 3\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 74032 + 1?\nAnswer: 74033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -217 - 3*k - 3*k**3 + 3*k**3 - 59 + 3*k**3.\nAnswer: 3*k**3 - 3*k - 276","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 829941?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -872 + 294 = 34*n for n.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*r - 23 = -i, 38*i - 40*i - 26 = -4*r for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/50 of a kilometer in millimeters?\nAnswer: 60000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -56435257\/11 or -5130479?\nAnswer: -56435257\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -18*v**3 - 4*v**2 - 3*v + 21. Is s(-4) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -42\/11, -0.5, 2\/5, -1.21, 5\/2, -2?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.09 - -0.08. Let w = 4.21 - 4.7. Let m = d + w. What is the second smallest value in m, 1, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -13*p + 36. Let r(z) = -8*z + 24. Suppose -48 = -11*i + 5*i. Let u(o) = i*r(o) - 5*m(o). Determine u(-15).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23 = -4*m - 7. Suppose v = m*h - 63, h + 4*h - 81 = 2*v. Let c(q) = q**2 - 6*q + 8. What is the remainder when h is divided by c(6)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = w**3 + 6*w**2 - 5*w + 6. Let k(t) = -t**3 - 5*t**2 + 4*t - 5. Let v = 36 + -26. Let d = v - 15. Calculate d*z(p) - 6*k(p).\nAnswer: p**3 + p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 28 and 231?\nAnswer: 924","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + w = -0*f + 14, 0 = -3*f + w + 16. Put 4, 2\/7, 0.06, f in ascending order.\nAnswer: 0.06, 2\/7, 4, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1447 and 14470?\nAnswer: 14470","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2*5\/(-50)*5)\/(2\/(-8)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -29858, -58466, -87074, -115682, -144290?\nAnswer: -172898","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b = -0*b + d + 532, -4*b + 3*d + 419 = 0. Let z = 425\/4 - b. Is -1 greater than z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/4 in 1, -1\/6, 0.5, 0.715?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c + 25 = -5*c. Let u(o) = o**2 + 3*o - 6. Let x be u(c). Suppose -1268112 = x*z + 29931888. Round z to the nearest one million.\nAnswer: -8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -s + 3. Let l be d(-2). Let n = l + -1. Let v = -3 - -4. What is the smallest common multiple of n and v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-1)\/p)\/(p\/((p\/(p*p\/p**(-1)*p))\/p))*p*p\/(p**(-4\/3)*p)*p*p**(2\/3)*(p**(-2\/9)*p**5)**3 assuming p is positive.\nAnswer: p**(34\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4856 divided by -4.\nAnswer: 1214","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -12? (a) -0.53 (b) 0.5 (c) -3 (d) 2\/65\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 31 + -26. Suppose o - 1 - 2 = 0. Suppose 0 = -j*m + o*u - u + 207, 3*u + 208 = 5*m. What are the prime factors of m?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -280454, -280403, -280380, -280385, -280418, -280479, -280568?\n\"Answer: -14*o**2 + 93*o - 280533","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xmxmqffmqmmmqxtftmm. Give prob of picking 1 t and 1 x.\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 10, 1\/3, 22 in decreasing order.\nAnswer: 22, 10, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*h + 2*k + 66 - 18, -4*k - 8 = 0. Let q = -13 - -20. Calculate the remainder when h is divided by q.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-11)\/((-1320)\/4)*5 + 2093\/42)\/4?\nAnswer: 25\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 1 i when two letters picked without replacement from ziizziz.\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -1897350 * 3\nAnswer: -5692050","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8\/32)\/((-18)\/(-96)).\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -228 = -3*d + 41*d for d.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -r**3 + 13*r**2 + 120*r - 311. Give l(3).\nAnswer: 139","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h*h*h**(4\/11)*h*h**(-18\/11)*h**21\/((h*h**(6\/11))\/h) assuming h is positive.\nAnswer: h**(244\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 1, e: 14}. Give prob of picking 2 e and 1 z.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -10883963240.99999754 + 10883962984. Let f = -285.3 - -28.3. Let v = f - l. Round v to 7 dps.\nAnswer: -0.0000025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 33\/5 and 24\/7?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g**(-4\/7)\/(g\/(g\/g**(-1\/8))))\/(g*g\/g**(-1\/2)*(g\/g**(-5))\/g*g))**(1\/44))**(-2\/53) assuming g is positive.\nAnswer: g**(501\/65296)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 67584095?\nAnswer: 5, 17, 46771","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 4 + 4)*(-158*l + 31*l - 11*l)*((-1 + 2 - 2)*(-1 - 1 + 4) - 1 + 5 - 3)*(1 - 2 + 3).\nAnswer: -276*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 277 = -95. Let s be 2\/(4*3\/p). Let g = 51 - s. Solve 0*t = 4*t - g for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a litre in millilitres?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -349616931.49999971 + 349616928. Let s = -2 - -5.5. Let w = s + p. What is w rounded to 7 dps?\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -i**3 + 2 - 2 + (2 - 2 - 3*i)*(2*i + i**2 - 2*i) + (2*i + 0*i + 0*i)*(2*i**2 - 5*i**2 + i**2) - 4*i**3 + 2*i**3 + 5*i**3.\nAnswer: -5*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 12593 + (0 - -5) - -5. Suppose -8402 = -2*d - z, 3*d = -4*z + z + u. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = k**3 + 1. Let x be m(-1). Let j = 8 + -4. Suppose -g = g + j. Put g, x, 5 in descending order.\nAnswer: 5, x, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-11)\/(-5) + -4 - -1)*-5. Differentiate 0*j + 0*j + 16 + 2*j**f - 6*j**4 - 15*j**3 + 0*j with respect to j.\nAnswer: -16*j**3 - 45*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 544*r**2 + 758*r**2 - 164*r**2 + 450*r**2 + 218*r**2 + 5 in the form z*r + a + k*r**2 and give k.\nAnswer: 1806","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0, 2.64, -4, -10?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (9*n + 17*n - 3*n)*(0*n**2 + 3*n**2 - 6*n**2) as o*n**3 + t*n**2 + b + u*n and give o.\nAnswer: -69","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(102) - 3*sqrt(102))*2*-6)\/(sqrt(2400)*1).\nAnswer: 6*sqrt(17)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 756\/10 - 2\/(-5). Let h be (-1 - 21\/6)\/((-117)\/78). Suppose -3*t + 17 = h*f - c, 5*t = 3*f - 101. Is 7 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) be the third derivative of x**5\/420 + 193*x**4\/168 + 191*x**3\/21 + 1405*x**2. Suppose t(w) = 0. Calculate w.\nAnswer: -191, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -o**3 + 11*o**2 - 10*o + 1. Let a be t(10). Let i = a - -1. Let 2\/7*q**4 - 2\/7*q**i + 2\/7*q**3 - 2\/7*q**5 + 0 + 0*q = 0. What is q?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n - 15 = -3*n. Suppose 3*z = -l, -n*l - 4*z - z + 20 = 0. What are the prime factors of (-4)\/l*84\/(-8)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 93541494?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101101110111000 + 1001?\nAnswer: -101101110101111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 66342901*a**3*n**2 + 4*a**2 - 10*a*n**2 + 5319896*n wrt a?\nAnswer: 398057406*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 5228557 to the power of 1\/9, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -76 + 57 - (-3 - 27).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 6 (b) -0.26 (c) 2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 14 - 211 = -5*m, -2*o = -2*m - 102. Let b be 3*4\/o*8. Suppose 3*w = b*w + 9. Solve w = -d - 2*d for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -2*a**3 + 20*a**2 - 17*a - 2. Let n be f(9). What is the greatest common divisor of n and 280?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -v**3 + 2*v**2 + 3*v - 4. Let g be z(3). Let s = g + 6. What is the common denominator of s\/5 - 26\/40 and -97\/18?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -949 + 958. Let j(g) = 73*g - 383. Is j(d) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -29474918?\nAnswer: -29474918","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 6*s + 4. Let z be f(-3). Calculate the smallest common multiple of 20 and (-3 - 2)*z\/5.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 7457 - 1113. Does 144 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 90.54252 rounded to the nearest ten?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put together -8.139 and 5.\nAnswer: -3.139","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (3\/(-1))\/((-172)\/516)\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/(-6))\/(18\/(-108)*(-108)\/(-81))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 5*r + 2*r - 2)*(-12 + 0 - 3)*(-12 + 37 - 11).\nAnswer: 630*r + 210","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 471537 to the power of 1\/3, to the nearest integer?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 28 + -28 + (0 - 8 - -2).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -620*b = 3*d - 621*b + 9, -d - 3 = b for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -1183*c*r + c + 83*r + 6 wrt c?\nAnswer: -1183*r + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2, -66, 4, -2, -5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 1\/4 of a millisecond?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3352721 (base 10) to base 9.\nAnswer: 6270055","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*a - 5 = 3*a, 4*w - 3*a - 25 = 0. What is the least common multiple of w and (-42)\/(-8) + (-2)\/8?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 1 r when two letters picked without replacement from rppprrrr?\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -312*(-1*5)\/((-20)\/(-30)). Suppose -11*g + 7*g + r = 0. What are the prime factors of g?\nAnswer: 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 19 + 1b?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 w and 1 x when three letters picked without replacement from wwxwwwxwwww.\nAnswer: 24\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 28*z**3 + 129464*z**2 + 149632640*z - 42762752.\nAnswer: 4*(z + 2312)**2*(7*z - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -t + 29. Let x be z(-12). Let d = x - 33. Suppose -5*v + 92 + d = 0. What is the remainder when 38 is divided by v?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5.35 + -4. Let p = g - 1.3. Let z = -0.0499992 + p. Round z to six dps.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -384 (b) -1476 (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 580*x - 5376 = 628*x. Let s be 114 - -3*(-4)\/6. Let r = s + x. Which is smaller: -5\/27 or r?\nAnswer: -5\/27","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 * 10966637\nAnswer: 3289991.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 16*a**3 + 2*a**2 + a. What is the units digit of b(2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 7*h**3 - 4*h**2 - 43*h. Let a(s) = -6*s**3 + 3*s**2 + 44*s. Determine -4*a(n) - 3*r(n).\nAnswer: 3*n**3 - 47*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -22394, -22395, -22398, -22403, -22410, -22419, -22430?\nAnswer: -22443","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 315*t - 4412. Calculate b(14).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4*3\/(-168)*6 - (-60)\/(-60270)*455?\nAnswer: -1\/41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2a (base 13) to base 2.\nAnswer: -100100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l\/((l\/l**1)\/l))**(5\/4)\/(l**(5\/3)\/(l*l*l**(-5))) assuming l is positive.\nAnswer: l**(-11\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 169 divide 457792?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 16271 and 53.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*s + s + 0*s)*(5*s - 45*s**3 + 91*s**3 - 62*s**3) as y*s**2 + v*s**4 + u + q*s**3 + m*s and give y.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) be the second derivative of -y**7\/5040 - y**6\/480 + y**5\/60 + 10*y**4\/3 + 15*y. Let r(j) be the third derivative of i(j). Solve r(c) = 0 for c.\nAnswer: -4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.5 + 60547659952.\nAnswer: 60547659951.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) be the second derivative of o**4\/3 + o**3\/6 + 2*o. Let d be u(-1). Differentiate 2 - 4*t**3 + 4*t**3 - d*t**3 wrt t.\nAnswer: -9*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 91, 198, 375, 622?\n\"Answer: 35*u**2 + 2*u + 54","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 1, q: 4, n: 7, j: 1, d: 5, p: 2}. What is prob of sequence dd?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 7 = 2*b, -c = -4*c + 4*b + 1. What is the units digit of (0\/(-3) - c)*-3?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2364 and 543.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 47, 2849643 in increasing order.\nAnswer: 1, 47, 2849643","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.008 - 5.908. Let j = n + 6. Let i = -0.1 + j. Which is the biggest value? (a) -2 (b) 5 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 7? (a) 0.02 (b) 1 (c) 0.2 (d) -1.353 (e) 2\/5 (f) 5\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 634982?\nAnswer: 2, 317491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/95, 0.2, -4, 3 in descending order.\nAnswer: 3, 0.2, 1\/95, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2596?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (132\/(-84))\/(192\/448)?\nAnswer: -11\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4141\/394 + -21\/2. Is p greater than or equal to -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0, -6\/5, 143?\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4.2 + 4. Let j = -5.4 - -5. Let n = j - u. Which is the nearest to 2\/7? (a) n (b) 2\/13 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 173609185\/14 - 12412975. Let v = 12327 + n. Let i = 593\/8 - 76. Find the common denominator of i and v.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -57*n + 169. Calculate o(4).\nAnswer: -59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) be the third derivative of 1189*n**9\/504 - 2809*n**5\/60 + 5358*n**2. What is the third derivative of z(i) wrt i?\nAnswer: 142680*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 10, j: 2, p: 3, u: 3, o: 1}. Give prob of sequence opv.\nAnswer: 5\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.001227484 to five decimal places.\nAnswer: 0.00123","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -13 + 42. Suppose -5*v + w = -13, -5*w - t = -2*v - 10. Suppose -k + 20 = 4*k + 2*r, -r = 3*k - 11. Is k equal to v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 329 - -99. Does 15 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1125*u + 600 = 1275*u for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 58*z - 53*z = 45. Suppose -528 = z*s - 13*s. Is s a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1, 4, -0.24, 1\/9?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 49\/209 and (348\/10)\/(-299 - (0 + 5 + 0))?\nAnswer: 8360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 57, 5, 8\/5, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 61915.\nAnswer: 5, 7, 29, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 3, 5, -0.28, -1\/2, 1\/4, -256?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -222 + 1165 - 316 - 311 - 316 - 3*b.\nAnswer: -3*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -16080 - -16076. What is the fifth biggest value in q, -1, -3, 258, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -2*r. Let h(g) = g**2 - g - 4. Let t be h(-2). Let w(f) = -290 + 5*f**t + 290. Calculate v(w(s)).\nAnswer: -10*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 divided by 15778?\nAnswer: -6\/7889","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4 - 1. Suppose 5*j - 4 + 24 = 0. Put b, -2, j in ascending order.\nAnswer: j, -2, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 66 + -15. Let h = -166 + 325. Suppose f + h = 3*q. What is the units digit of q?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xth when three letters picked without replacement from {x: 4, h: 6, o: 3, t: 6}?\nAnswer: 8\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 270105986 to the power of 1\/3, to the nearest integer?\nAnswer: 646","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1081*2443.\nAnswer: 2640883","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 4\/10 - (-48)\/30. Let p be ((-3)\/(-2))\/(1\/r). Suppose -5*b = -83 + p. What are the prime factors of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 3, -5 in increasing order.\nAnswer: -5, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 148\/592*(-1044)\/(-9)?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1 + 5. Suppose -26*z + 24*z = -28. Calculate the least common multiple of z and i.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 0.048 and 6\/5 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (-4 - -33) + -27 - (2 + 0 + 4)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) be the second derivative of q**7\/2520 - q**6\/120 - q**5\/120 - 5*q**4\/12 + 5*q. Let w(v) be the third derivative of p(v). Determine w(6).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = v**2 - 1. Suppose 12 = -2*g - 2*g - 12. Let b(u) = u + 3*u - 2*u + 2 - u**2. Let n(t) = g*z(t) - 3*b(t). Factor n(c).\nAnswer: -3*c*(c + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 0.36, 0.11, 5 in decreasing order.\nAnswer: 5, 0.36, 0.11, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 75669 and 2607?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 104.24 - 104.4. Which is the third biggest value? (a) 0.06 (b) r (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -892 minus 5?\nAnswer: -897","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(2\/7))**15\/(t**(-4)*t*t*t**(3\/4)) assuming t is positive.\nAnswer: t**(155\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-11)\/(-2) - (-1)\/(-2). Suppose 3*t = 15, 0 = 3*u - 7*t + 2*t + 43. Let q = 22 + u. Solve -b*f + q = -f for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 425300 and 1254200?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.4 (b) -5\/4 (c) 0.7 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:46 PM and 9:41 PM?\nAnswer: 355","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/3*6)\/8\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*g + 26 + 18. Let c = g + 21. Suppose 0 = -i + c + 39. What are the prime factors of i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5201586406 to the power of 1\/3, to the nearest integer?\nAnswer: 1733","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.1 (b) 6.5 (c) -6087\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wm when two letters picked without replacement from vwvm?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*b**6 - 52721*b**5 - b**3 - 8*b**2 + 5*b - 40123.\nAnswer: 360*b**3 - 3163260*b**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/5 - 31372\/(-330) - 24\/36.\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 8700774 to the nearest integer?\nAnswer: 206","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.17 + -21.47. Let v = 33.3 + j. Sort v, -0.4, 2\/7 in descending order.\nAnswer: v, 2\/7, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 0 - -32031?\nAnswer: 32031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/(-5))\/(1*12\/(-10))?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*f = -13*f + 20 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6 (base 16) to base 5.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*t + 12*t + 90. Let v be (12\/t)\/(2\/15). Let z(h) = 2*h**2 + 3*h - 2. Let d(c) = 2*c**2 + 4*c - 1. Determine v*z(x) + 2*d(x).\nAnswer: -2*x**2 - x + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -8839 and 0.13.\nAnswer: -1149.07","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 1 (b) 300 (c) 44\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 131 - -43. Does 16 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6272789.\nAnswer: 2267, 2767","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 62 + -242. Let k be r\/(-28) - 6\/14. Let f be 302\/14 + (k - 156\/28). Is 21 smaller than f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -569 - -812. Suppose 3*r + c = 5*c + y, -2*r = 5*c - 139. What is the tens digit of r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(200) + sqrt(2) + -4.\nAnswer: -4 + 11*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Do -7.5 and 2 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -8*x**3. Let h be q(-1). Suppose 0*u = -2*u + h. Suppose 0 = -3*k - t + 28, -35 = -u*k - t + 2*t. Is k a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -y**3 - 207*y**2 - 427*y - 3514. Calculate v(-205).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + ((-1 + sqrt(176))*6 + (sqrt(176) + -1)*-1 + (sqrt(176) + -1)*-3 + sqrt(176) + -1*sqrt(176)*1)**2*-3.\nAnswer: -2127 + 96*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 5218.791ml in litres?\nAnswer: 5.218791","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 32791, 134984, 305305, 543754?\nAnswer: 850331","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*q**4 - 4*q**3 + 0*q**4 + 37*q**3 + 0*q**4.\nAnswer: -3*q**3*(q - 11)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fpddddififpidppijpf. What is prob of picking 1 p, 1 f, 1 d, and 1 i?\nAnswer: 100\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -308 + 470. Calculate the smallest common multiple of 8 and s.\nAnswer: 648","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 2*y = -2*p - 3, -y = 4*p - 15. Put -0.4, -1, y in ascending order.\nAnswer: -1, -0.4, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 929.9133 kilograms in micrograms?\nAnswer: 929913300000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 281 is divided by ((-260)\/(-780))\/((-1)\/(-345))?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1253?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 2*l - 18 = 0, 2*l = t - 6*t + 52. Suppose -t = 4*r - 9*r. Solve 2*w = -r*w - 16 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 391800\/104 + 12\/(-39)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 1, k: 6, e: 2, o: 1, h: 2, i: 7}. What is prob of sequence oh?\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 443 minutes after 8:02 PM?\nAnswer: 3:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*v - 21 + 21)*(-2*v - 2*v + 6*v)*(v**3 + v**3 + v**3).\nAnswer: 36*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-8)\/10*(-1 - 9). Let r(f) = -12*f**2 + 8*f. Let n(c) = c**2 - 1. Let q(z) = 3*z**2 - 3*z + 1. Let g(i) = -n(i) - q(i). What is t*g(k) - 3*r(k)?\nAnswer: 4*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 26 - 26. Let v be 3 + t*(2 - 1). Let k(o) = -2*o - v*o + 3*o - 4*o. Calculate k(-2).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) be the first derivative of 49*x**4\/2 - 2*x**3\/3 + 81*x**2\/2 + 85. What is the third derivative of j(v) wrt v?\nAnswer: 588","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -s**2 + 8*s + 2. Let p be j(4). Calculate the highest common divisor of p and 180.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3\/47 - 38\/141. Which is the closest to 1? (a) 9\/2 (b) 0 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2 (b) -1 (c) 0.04 (d) 1706\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -41.8 from 0.17592233.\nAnswer: 41.97592233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express 14 - 14 + 17*t**2 as s + z*t**2 + k*t and give z.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 1549, 2, 5 in descending order.\nAnswer: 1549, 5, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -76157.467 to the nearest one thousand.\nAnswer: -76000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-48)\/(-14) + 32\/56. Let n(a) be the first derivative of -2\/3*a + 2\/9*a**3 - 1\/3*a**2 - 1 + 1\/6*a**h. Factor n(q).\nAnswer: 2*(q - 1)*(q + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -30163\/145 - -540\/29. Let g = i + 190. Which is bigger: 3 or g?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.956 >= -153478?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -360*k = 944 - 83 - 141 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z*z\/z**(1\/3)*z)\/(z\/(z\/((z\/(z*z**1))\/z))))\/(z\/z**0)**(-5\/2)*((z*z*z*z\/(z*z**(-2\/7)))\/(z**2*z))\/(z*z**(-1)*z*z*z*z)**(1\/8) assuming z is positive.\nAnswer: z**(167\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.93 + -1. Let z = -0.0052 - 0.0626. Let x = t - z. What is x rounded to 3 decimal places?\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -6 - -8. Suppose 0 = 5*h + z*b + 2*b - 3, 5*b = 3*h - 24. Suppose -h*l + 2*f = -37, 3*f = 2*l - 1 - 27. Calculate the least common multiple of l and 6.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3782 by -4.\nAnswer: 1891\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 14201470 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5355937\/804 - -26649\/4. Let r = 2\/67 + f. Let j = 3 + -7. What is the second biggest value in -1, r, j?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 67 = 3*z - 26. Let w = 72 - z. What is the units digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10001 - -1101100111?\nAnswer: 1101010110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -2*(-3)\/(2 - -1). Suppose 0 = -3*b - 4*m + 4103, 0 = -l*b + m - 0*m + 2717. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 107017199?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8)\/(7\/(14\/4))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w = -2*k - k + 7, -1 = 3*w - k. Let m(d) = 3 + w - 4 + 3*d - d**2. Calculate m(2).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 47 + -45. Let l = 1 + 3. Suppose -l*k + 40 - 16 = 0. Solve -2*b - k = -x for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1.2 + 1. Let w = -0.8 + f. Let o = -2261\/9 - -251. Which is the biggest value? (a) o (b) 3\/5 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18246.\nAnswer: 2, 3, 3041","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ppppppppppppz. What is prob of picking 1 z and 3 p?\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 295175?\nAnswer: 5, 11807","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -63\/4 and (-10)\/(-4)*(-222)\/(-30)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -12*o**3 + o**2 - o - 1. Let y be u(-1). Let p = y + -7. Put 5, p, -4 in increasing order.\nAnswer: -4, 5, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 45163, 89882, 133727, 176260, 217043?\n\"Answer: -73*f**3 + f**2 + 45227*f + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -12 - y**3 + 84*y**2 + 4*y - 148*y**2 + 71*y**2. Let m be v(7). What is the highest common divisor of m and 200?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in twenty-six fifths of a millennium?\nAnswer: 520","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 427 times 2.5?\nAnswer: 1067.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -38395270 not equal to -38395272?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve i - 858*m = -861*m - 18, 0 = -14*i - 5*m - 178 for i.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 276 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**23*((c*((c*c**(2\/3)\/c*c)\/c)\/c)\/c)\/c*c)**(-2\/5) assuming c is positive.\nAnswer: c**(-136\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3, -5, -15, -33, -59, -93, -135?\nAnswer: -185","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*m + 9 = 8*m for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 16830 to the power of 1\/2, to the nearest integer?\nAnswer: 130","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 766405 and 459843?\nAnswer: 2299215","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 2, r: 1, o: 1, n: 2}. Give prob of picking 2 k and 1 r.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 456 divided by -3\nAnswer: -152","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:32 AM and 11:15 AM?\nAnswer: 223","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-52)\/(-182) + (-4250)\/175.\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9 - 19 = 14*l for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 2*n**2 + 15*n + 10. Let u be q(-8). Let y be u\/(-16)*(-8)\/(-24). Let v be 85\/210 + 8\/(-14). Which is the nearest to -1? (a) y (b) v (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1021212022222 (base 3) to base 14.\nAnswer: -13c127","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*d**2 + 2 - 2 + (2 + d**2 - 2)*(-2 + 2 - 1) + 12*d**2 + 24*d**2 + 0*d**2 to m*d**2 + p + o*d and give m.\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or 1\/833?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3 + 23. What is the remainder when 37 is divided by t?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -57\/2, 0.2, 2\/11, 0.9?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 32191573979 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) be the third derivative of 8*n**5\/15 + n**2. Let h(j) be the first derivative of j**2\/2 - 290. Determine h(d(w)).\nAnswer: 32*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/h**(-16)*h**(7\/4)\/h)**(-46) assuming h is positive.\nAnswer: h**(-1633\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(-2\/13)\/w*(w\/w**(-6)*w)\/w*w**(-5)\/w**(-2\/15) assuming w is positive.\nAnswer: w**(191\/195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2553670, -2553438, -2553206, -2552974?\nAnswer: -2552742","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 203665 - 2*k - 2*k**2 + 2*k - 203665.\nAnswer: -2*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 30\/(-35) - 2\/14. Suppose 63 = -3*c + q, -2*c + 2*q - 24 = 22. Let o be (-32)\/c*(-2)\/(-8). What is the closest to l in o, 1\/10, -2\/17?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 22*g - 19*g + 6 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3815?\nAnswer: 5, 7, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 311419 is divided by 263?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = x**3 + 6*x**2 + x + 6. Let f be g(-6). Let z = f - -19. What are the prime factors of z?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -217918*o**3\/3 - 217774*o**2\/3 + 48*o = 0. Calculate o.\nAnswer: -1, 0, 72\/108959","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*d + 4*l - 36, -2*l = 5*d - 7*l for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 124*q - 307360 = -305500 for q.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 200\/282 + 2\/(-3). Let g = -44 - -59. Suppose -2*f + 5*s - g = f, -f - s = -3. Is f at least j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -3525*s - 5. Let h(z) = 5284*z + 8. Calculate -8*f(g) - 5*h(g).\nAnswer: 1780*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -u**3 - 13*u**2 - 8*u - 17. Is z(-13) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(2\/5))**31\/(h*h\/h**(-1\/2))**(-16\/3) assuming h is positive.\nAnswer: h**(386\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 54\/144 - (11022\/(-16))\/3. Calculate the remainder when p\/8 + 7\/28 is divided by 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + -2.812?\nAnswer: -1.812","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -74790 to the nearest 10000.\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**20*o*o*o**3)\/((o\/(o\/o**23*o))\/(o**26\/o)))**(-21) assuming o is positive.\nAnswer: o**(-588)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2348 - 1219 = -29*u. Is u a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2275 - 0.0699?\nAnswer: 2274.9301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 91 divided by -377654.\nAnswer: -91\/377654","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -16426036*p**4 + 2*p**2 - 9158565 wrt p.\nAnswer: -394224864*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -203 (b) 0.3 (c) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -3*b**3 - 10*b**2 + 14*b - 2012. Let t(k) = -k**3 - 2*k**2 + 3*k + 2. What is m(a) - 5*t(a)?\nAnswer: 2*a**3 - a - 2022","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 4*d = -5*z + 16, -5*z + 5*d + 70 = 0. Let i(c) = c**2 - 9. Let a be i(z). What is the greatest common factor of a and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -47 - -46.7. Which is the fourth biggest value? (a) o (b) -3\/8 (c) -1 (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-o - 2 + 2 + 1 - 2*o - 1 + (0*o + o + 0*o)*(1 + 0 - 3) - 3*o + 2*o - o + 4 - 4 + o + 4*o + 0*o - o)*(-1 - 1 + 3 + (3 - 2 + 0)*(7 - 3 - 2) + 6 + 0 - 3).\nAnswer: -18*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 608725.\nAnswer: 5, 13, 1873","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 635 = -x + 191. Let w = -295 - x. Suppose -9*f + w = -8*f. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 44 and 13684?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 62 and 124?\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o\/((o*o**(2\/7))\/o))**(-6\/11)*(o\/o**(-1\/4))**34)**40 assuming o is positive.\nAnswer: o**(128020\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1675 and 391.\nAnswer: 654925","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1001, 997, 983, 953, 901, 821?\nAnswer: 707","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 6 + 29*k**2 - 10*k - 39*k**2 - 7738*k**3 + 7737*k**3. Determine p(-9).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -555360 (base 7) to base 8.\nAnswer: -277230","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 112 or -2\/13?\nAnswer: 112","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 10, 3, -128, -2, 0 in descending order.\nAnswer: 10, 3, 0, -2, -128","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -10753\/3 - -3584. Let u = 88\/9 + -544\/63. What is the closest to 0 in u, c, -4\/3?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000249376 to 5 dps.\nAnswer: 0.00025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1809792 is divided by 8.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fevhp. What is prob of sequence eh?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1\/7, 0.347, 5, 2?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -41? (a) -2\/7 (b) 33\/65 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-852)\/(-639))\/((-4)\/117).\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 228 divided by -71\nAnswer: -228\/71","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 28*r**2 - r. Calculate w(-1).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*w = 75 - 3 for w.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -33.8 + 5.8. Let p = -27.15 - f. What is p rounded to 1 decimal place?\nAnswer: 0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7781.\nAnswer: 31, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -19 divided by -3?\nAnswer: 19\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.2708948 rounded to three dps?\nAnswer: 4.271","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22114 is divided by 22077?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*u**3\/7 + 94*u**2\/7 - 88*u\/7 - 184\/7.\nAnswer: -2*(u - 46)*(u - 2)*(u + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -111110 (base 2) in base 16?\nAnswer: -3e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1167066 and 1656.\nAnswer: 414","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -p + 7. Determine w(4).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -3830 times -108.3\nAnswer: 414789","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 24 - (-5 - 26 - -87).\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (2\/(-2))\/(49\/(-14)). Do -2897 and f have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(2\/3)\/i)**(-1\/33)*(i\/(i*i**(-1)))**(14\/11) assuming i is positive.\nAnswer: i**(127\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = s**3 - 2*s**2 + 2*s. Suppose -3*o - 2*q = 14, o + 12 = -3*o - q. Let g(i) = i**3 - i**2 + i - 1. Let z = 0 - -1. Determine o*g(u) + z*c(u).\nAnswer: -u**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 22*m**2*o*z**2 + 4*m**2*o - 9*m**2*z**2 + 8*m**2*z + m*o wrt o?\nAnswer: 22*m**2*z**2 + 4*m**2 + m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -83 + (18 - (-43 + 52))?\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -2164818 divided by 277\nAnswer: -2164818\/277","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -9 in -6\/19, 2\/1587, 0.5, -0.4, 0?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 12) to base 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-44)\/(-286) + (324\/(-39))\/2. Let x be 195\/(-78)*l\/45. Sort x, 0, 5 in increasing order.\nAnswer: 0, x, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31121 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12392060.\nAnswer: 2, 5, 619603","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) be the first derivative of -2*s**3 - 5*s**2\/2 - s - 2. Let p(y) be the third derivative of y**5\/20 + y**4\/12 + y**2. Calculate -2*k(g) - 5*p(g).\nAnswer: -3*g**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k - 23 = -23. Solve 14 = -k*i - 3*i - n, 5*i + 5*n = -30 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -16 divided by -25\nAnswer: 16\/25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 127 minutes before 3:21 PM?\nAnswer: 1:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 51 - 53. Sort -3\/5, 5, g in descending order.\nAnswer: 5, -3\/5, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (15\/25)\/((4\/(-1))\/8).\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-9)*b**14)\/(b**(-1\/3))**29 assuming b is positive.\nAnswer: b**(44\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 6252 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -70220*r**2 - 36094*r**2 + 106312*r**2.\nAnswer: -2*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12636 divided by 6.\nAnswer: -2106","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (32*s + 148 - 148)*(2 + 1 + 12).\nAnswer: 480*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = r. Let c(l) = 55883*l**2 - 3*l. Calculate c(k(u)).\nAnswer: 55883*u**2 - 3*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4\/1844357615 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.3 (b) 2 (c) -0.06 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1\/73741240 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 8b9923d - 2?\nAnswer: 8b9923b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide -180 by -10.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 168 and 532?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:46 PM and 1:44 AM?\nAnswer: 538","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 279313349 and 119?\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xnbnojjfjbonnx. Give prob of sequence xo.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 255.69 + -257. What is l rounded to 1 dp?\nAnswer: -1.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -118 - -117.9999376. What is p rounded to five dps?\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2122012220110102 + 20?\nAnswer: -2122012220110012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) be the third derivative of 0*m**3 - 1\/90*m**5 + 0*m + 0 + 1\/180*m**6 + 2*m**2 + 1\/315*m**7 - 1\/36*m**4. Determine l, given that v(l) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 6) to base 8\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.02365 rounded to 3 dps?\nAnswer: 0.024","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven fifths of a litre in millilitres?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.10924 from 1729939.8.\nAnswer: 1729939.69076","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 8125409443 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -v + 3*v. Let z = 5 - 3. What is the nearest to v in z, 1, -4\/7?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2687, -4, -36, 3 in descending order.\nAnswer: 3, -4, -36, -2687","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 335?\nAnswer: 5, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -8*z + 75. What is the units digit of d(-10)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 18 and 3\/(3\/(-3)) + 33.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 4\/(-3)*(1362\/4)\/1. Let n = b + 284. Let c be 3\/(-6)*1*n. Calculate the highest common divisor of 5 and c.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -5*v**3 + 3. Let y(c) = -4*c**3 + 3. Let m be 189\/36*-4*2\/6. Calculate m*y(k) + 6*d(k).\nAnswer: -2*k**3 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 6*w + 2. Let z = 23 - 20. What is k(z)?\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) be the second derivative of 49*j**6\/45 - 469*j**5\/30 + 128*j**4\/9 - 4*j**3 + 2127*j. What is h in p(h) = 0?\nAnswer: 0, 2\/7, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -99*g**5*q - 3*g**5 - 2*g*q - g + 3*q wrt g.\nAnswer: -1980*g**3*q - 60*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 3\/8 of a millisecond?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 39*l**2 + 261*l + 324. Determine m(-5).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -20 + 29. Let r(j) = -4*j + 29. Let c be r(-13). Calculate the highest common factor of c and t.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -82\/7, 2\/3, 1, -5?\nAnswer: -82\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -224*f + 6198 = 164*f + 1154 for f.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (21\/((-105)\/(-5)))\/(6\/120).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x**5 + 2293*x**4 - 1674648*x**3 + 395967908*x**2 - 394295552*x = 0. What is x?\nAnswer: 0, 1, 602, 1088","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4 in -0.3, -1.4, -7, -0.2?\nAnswer: -1.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 747970 and 40.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - 451 + 2527 = 0. What are the prime factors of o?\nAnswer: 2, 3, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = b**3 + 52*b**2 + 354*b + 32. What is o(-8)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f, 1 n, and 1 w when three letters picked without replacement from {a: 8, f: 2, n: 4, w: 5}.\nAnswer: 40\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 150 - 50. Let r be (-424)\/(-4) - 252\/21. Let u = r - o. Which is greater: u or -7?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/6*(53 + -34 + -19).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 51 and 68238?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 13796757 to the nearest integer?\nAnswer: 240","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -50*c - 254. Let v be t(-5). What is the second biggest value in -0.5, v, -0.07?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dfm when three letters picked without replacement from {d: 2, c: 7, f: 2, e: 1, m: 6}?\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*g - 31*f + 33*f - 2270, -3404 = -3*g - 2*f. What is the smallest common multiple of g and 882?\nAnswer: 7938","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 72.503461 + -72.49. What is h rounded to four decimal places?\nAnswer: 0.0135","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) be the third derivative of -1\/15*t**5 - 7\/30*t**6 - t**2 + 1\/168*t**8 + 18*t + 13\/12*t**4 + 0 + 7\/3*t**3 - 1\/21*t**7. Factor m(n).\nAnswer: 2*(n - 7)*(n - 1)*(n + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 13\/4 of a centimeter?\nAnswer: 32500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 5935\/75 - 4\/30. Let t = -36 + r. Let d(n) = 15*n**2. What is the remainder when t is divided by d(1)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 7*x - 16. Let j be t(7). Let o(l) = l**3 - 4*l**2 + 3. Let z be o(4). Calculate the greatest common factor of z and j.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 21918629.7 to the nearest one million.\nAnswer: 22000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = n**3 + n**2 - 5*n + 7. Let r be j(2). Suppose -2*o - r = -3*o. Suppose -o = -4*k + 47. Solve -k + 4 = 2*p for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 16 + -9. Let n = 39 + -11. Suppose 2*j + n = 3*j. What is the highest common factor of j and q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3130377 is divided by 2033.\nAnswer: 1590","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*l - 5*b + 267, -197 = -4*l + 3*b + 298. Suppose l - 124 = -q. Let o = -5 - -4. Sort 4, 2, o, q in decreasing order.\nAnswer: 4, 2, o, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -5*j**3 + 7*j**2 + 25*j + 4. Let v(y) = y**3 - 2*y**2 - 6*y - 1. Let h(s) = 2*f(s) + 9*v(s). Let r be h(-3). Solve 8 = -r*b + 4*b for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 225388 a multiple of 116?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -76 (b) -34\/215 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Are -37966507 and -37966509 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in eleven tenths of a hour?\nAnswer: 3960","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*v**5 - 4*v + 2*v - 2*v**5 - v**3 + v**3 + v**5 + (1 - 1 - 2*v)*(-3 - v**4 + 3).\nAnswer: 6*v**5 - 2*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -2\/9, 0.06, -0.95?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12147?\nAnswer: 3, 4049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 67718.17 centuries?\nAnswer: 6771817","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = 2*l - o, 4*l - 22 + 2 = -4*o. What is the third derivative of l*h**6 - h**6 + 4*h**6 + h**2 wrt h?\nAnswer: 360*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*m**4\/3 - 25955*m**3\/6 + 55285*m**2\/3 - 65090*m\/3 + 4340 = 0. Calculate m.\nAnswer: -1302, 1\/4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -80 - 7?\nAnswer: -87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 275 and 10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.5 in 4\/7, 5, -5, -3\/5?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1303 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -21001 (base 4) to base 2\nAnswer: -1001000001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2221372750?\nAnswer: 2, 5, 47, 97, 1949","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q and 2 s when four letters picked without replacement from cxccsqexccxqcexcqxsq.\nAnswer: 2\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4.5 + -4.7. Let x be ((-2)\/(-12))\/(4\/6). What is the closest to 3 in 2\/11, z, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2751072739 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 21328 - 21328.3. What is the fifth smallest value in -1, 0.3, -4\/3, y, 99?\nAnswer: 99","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -1234*m**3 - 3*m**2 + 9*m - 3. Let z(x) = -6614239*x**3 - 16081*x**2 + 48243*x - 16081. Determine -32162*v(c) + 6*z(c).\nAnswer: 2474*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -142 + 146. Let r be 27*((-39)\/(-9) - 1). Let b be 12\/(-20) + 34\/r. Sort 0, u, b in ascending order.\nAnswer: b, 0, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 7\/3*o - 1\/3*o**2 - 10\/3.\nAnswer: -(o - 5)*(o - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + ((-6*(sqrt(48)\/sqrt(4) + sqrt(12)))\/sqrt(6) + ((sqrt(242) + -1)**2 - sqrt(242)*1))*-1.\nAnswer: -247 + 45*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1456 - -1631. What is the smallest common multiple of 70 and u?\nAnswer: 350","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = s**3. Let h(q) = -3*q**3 - 4*q**2 - 13*q + 3. Let t(n) = h(n) + 4*i(n). Let r be t(6). Is (-1)\/r + 10048\/24 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*m + 25 = -3*c, -18*m + 17*m + 5 = 4*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.4 (b) 12 (c) 3\/25 (d) 1 (e) 1\/5 (f) 2\/3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) be the first derivative of y**6\/3 + 5*y**3\/3 + 6. What is the third derivative of i(n) wrt n?\nAnswer: 120*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -44 + -122. Let n = -165 - x. Let d be 1\/18 + 4\/(-18). Which is the closest to n? (a) d (b) 1 (c) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(140) - (2*sqrt(315) + sqrt(315)))\/(5*(sqrt(245) + (sqrt(245)*2 - sqrt(245)) + sqrt(245))) + 4.\nAnswer: -sqrt(7)\/21 + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 10672 - 25932?\nAnswer: -15260","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 4*g**3 - 2*g**2 - 1. Let s be x(1). Which is the nearest to 1\/3? (a) s (b) -3 (c) -1 (d) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 5*z - 9. What are the prime factors of v(5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -9 - -7. Let v = l + 1.9. Is v bigger than -2\/23?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 166548987 to the power of 1\/2, to the nearest integer?\nAnswer: 12905","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1*-1 - (5 - 6). Suppose -3*w - 4*g + 9 = m, -w = w + 2*g - 8. Let c be w\/((-7)\/590000) + 0. Round c to the nearest one hundred thousand.\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xfaaaafaaxxa. What is prob of sequence aafx?\nAnswer: 7\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*n**4 + 6088*n**3 - 2780884*n**2 + 353408400*n - 13479210000.\nAnswer: -4*(n - 675)**2*(n - 86)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 29, 56, 87, 122, 161, 204?\n\"Answer: 2*j**2 + 21*j + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -141982*b*p**3 - 1266*b*p**2 + 170*b - p**3 wrt p.\nAnswer: -851892*b - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.23344 to three decimal places.\nAnswer: 0.233","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 74039, -4\/7, -2.5, -2, 0.1.\nAnswer: -2.5, -2, -4\/7, 0.1, 74039","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 10056 + -8123. What is the remainder when g is divided by 11?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -21 + 26.5. Let l = y - 1.5. What is the third biggest value in 0, l, 3\/2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -16*b**2 - 4722388*b - 1180596.\nAnswer: -4*(b + 295149)*(4*b + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w**2 - 23392*w + 70140 = 0. Calculate w.\nAnswer: 3, 5845","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 1 l when two letters picked without replacement from llekllkeeekkeek?\nAnswer: 8\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 62367206471 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -6.51 or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 168236 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 3*l**2 - 2*l - 1. Let c(o) = 6*o**2 + 6*o + 9. Let d be c(-3). Let h = d + -42. Suppose -3 = 3*r - h*f, 2*r - f = 1 - 0. Calculate s(r).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 17.8 + -36.4. What is o rounded to the nearest integer?\nAnswer: -19","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (c**3 - 3 + 3)*(6 - 13 - 16)*(-1 + 2 - 2)*(-4 - 3 + 1).\nAnswer: -138*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 3*1\/((-21)\/10)*18\/45?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:32 PM and 8:53 AM?\nAnswer: 681","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0 - -4. What is the remainder when 6\/v*(-76)\/(-6) is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 1 l when two letters picked without replacement from {k: 5, l: 5}?\nAnswer: 5\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 4\/(-14) + (-30)\/(-7). Let n(a) = -a + 12. Let c be n(4). Let w be c\/(-6)*(-11 - -8). Do w and s have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 1714962?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) be the second derivative of -5*q**8\/56 + q**4\/6 - 3*q. What is the third derivative of v(n) wrt n?\nAnswer: -600*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -12 + (18 - 23 - (3 - 63))?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*i + 157381 = -145239. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 - -5 - (11 - 11)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -13, -5, -4\/479, -3, 0.1, 3, 9?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 + 6 + 6 + (3 + 0 + 0)*(-3 + 2 + 3))*(2*h + 0*h + 17 - 4*h) in the form j + r*h and give j.\nAnswer: 238","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 65260?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:34 AM and 12:51 PM?\nAnswer: 617","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13 + 2 - (-70)\/7.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/5 in -0.7, 0.2, -6, 15?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:14 AM and 9:55 AM?\nAnswer: 581","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 42900 to the power of 1\/7, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5473 - 54687\/10. Calculate the common denominator of -21\/16 and p.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*1*sqrt(8) - sqrt(512))\/(((2*sqrt(200))\/sqrt(10))\/sqrt(5)).\nAnswer: -3*sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ttl when three letters picked without replacement from {l: 3, u: 7, w: 2, t: 4, x: 3}.\nAnswer: 2\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 10\/(150\/135) - -11. Let z(h) = -2*h - 11. Let v be z(-8). Solve -u = -y - 3, -w + v = 5*u + y for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + sqrt(297)\/sqrt(11).\nAnswer: -2 + 3*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(35)\/(sqrt(5) + -2*(sqrt(45) + sqrt(5))).\nAnswer: -sqrt(7)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 7245 a multiple of 74?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 595105.\nAnswer: 5, 7, 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express 8373 + 8314 - 16780 - c as j*c + a and give j.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (7 + -7)\/(-2 - (-3 - -2)). Let w(r) be the first derivative of 2\/3*r**3 - 2 + x*r**2 + 0*r. Let u(k) = -k. Calculate w(u(n)).\nAnswer: 2*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*d - 2*q + 32 = 12, -160*q - 5 = -161*q for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-378)\/36*(-736)\/9936.\nAnswer: 7\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 3, 0, 1.\nAnswer: -5, 0, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 8218 - 6906. What is the lowest common multiple of d and 820?\nAnswer: 6560","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 5*h. Let l(v) be the third derivative of -5*v**4\/24 + 61*v**2. Give l(q(r)).\nAnswer: -25*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b = 2*z - 2, 3*z = -3*b + 4*b - 4. Let w(l) = -7*l**3 - 2*l**2 - 2*l - 1. What is the units digit of w(z)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 - 10051127*i**2 + 10051466*i**2 - 4.\nAnswer: 339*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fnn when three letters picked without replacement from {f: 4, p: 6, l: 1, n: 6}.\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -1a (base 14) in base 7?\nAnswer: -33","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 321 - 321. Suppose k + 156 - 171 = h. Let c be 4*-50*(-3)\/8. What is the greatest common factor of k and c?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -21210011 + 101?\nAnswer: -21202210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 4443?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 264784103?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 2, 5, 4, -1, -7, 13103 in ascending order.\nAnswer: -7, -1, 2, 3, 4, 5, 13103","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 5*j**2 + j. Let f be h(-1). Suppose f*v - 9 = -1. Calculate the smallest common multiple of v and ((-2)\/4)\/(5\/(-80)).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:26 PM and 10:43 PM?\nAnswer: 137","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:55 AM and 11:33 AM?\nAnswer: 578","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 9 and 458724.\nAnswer: 1376172","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.11372096 to two decimal places.\nAnswer: -0.11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r when two letters picked without replacement from rhhhhrhrhhhhrhrhhhh?\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 13732*y - 19. Let u be i(6). Let z = u + 1039627. Let w be (10\/3)\/(11\/z). What is w rounded to the nearest one hundred thousand?\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -17, -2, -14, -22 in decreasing order.\nAnswer: -2, -14, -17, -22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -6*k**2 + 29404*k - 8298400.\nAnswer: -2*(k - 4600)*(3*k - 902)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 52 - 49. Let h be (8 + 2)\/2 - y. Suppose -2*i + 3*p + 27 = 0, h*i + 5*p = 4*i - 37. Let u(b) = 2*b - 9. Determine u(i).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 26344818?\nAnswer: 2, 3, 29, 16823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (60\/(-14))\/((-10123)\/2226 + (-36)\/(-8)). Suppose 2*o - o - 60 = 0. What is the greatest common factor of o and h?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*x - 2*x + 10*x - 6*x.\nAnswer: -x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a = -x - 6 + 3, -3*a + 8 = 5*x. Let u(m) = -4*m + 2. Let b(h) be the second derivative of h**3\/6 - 2*h. What is x*u(j) + 3*b(j)?\nAnswer: -j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.11, -396, 1\/3, 6 in decreasing order.\nAnswer: 6, 1\/3, -0.11, -396","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.06441 and -4?\nAnswer: -0.25764","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 309 (b) -2 (c) 0.03\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zzms when four letters picked without replacement from ssszssmsszmmsmss?\nAnswer: 1\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1, 0.1, 1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 1, w: 1, x: 2, j: 2}. Give prob of sequence wj.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 36*23\/2208*16?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 22135 or 22153?\nAnswer: 22153","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -6867 divided by -878\nAnswer: 6867\/878","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -171*n**6 - 2*n**4 - 4*n**2 - 62*n?\nAnswer: -20520*n**3 - 48*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 5*a + 4*a**2 + 2 - 5*a**2 + 2*a**2 - 2 + 1. Give k(-5).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = 2*u + 2*y - 2, -1 = -u + 3*y. Let h = -7 + u. Let q(z) = -35*z + 3. Let f(x) = -22*x + 2. Let b(o) = -8*f(o) + 5*q(o). What is b(h)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h - 1 = 2*t, 8 = 2*h + 5*t - 0. Are -1\/45 and h nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 2853?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.5, 0.163274, -4?\nAnswer: 0.163274","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oaog when four letters picked without replacement from yaoyyygyyahggoog?\nAnswer: 1\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 25.01168mm to meters.\nAnswer: 0.02501168","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39*o - 36*o - 57 = h, h = 0. Let c(w) = w**3 + 6*w**2 - 3*w - 2. Suppose -2*j - 14 = -4. Let s be c(j). What is the highest common factor of o and s?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 12 + 58a4a20?\nAnswer: 58a4a32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n + 20 = -4*m, -n + 490 = m + 495 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -25731, -25729, -25725, -25719, -25711, -25701, -25689?\n\"Answer: b**2 - b - 25731","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -956*x - 6910*x - 3050*x = 472004 + 368528 for x.\nAnswer: -77","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4 - 7. Let j(h) = h**3 + 3*h**2 - 2*h - 2. Let z be j(q). Find the second derivative of 2*i + 2*i**z + 2*i**4 - 2*i**4 wrt i.\nAnswer: 24*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(35)\/sqrt(5)*3 + 0)*4.\nAnswer: 12*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 343.809 * 0.08\nAnswer: 27.50472","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -2193, -7711, -13229?\n\"Answer: -5518*p + 3325","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 24122?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2.86 - 1.5. Let c = -0.34 - p. Let o = c + 1.8. What is the nearest to o in -2\/3, -3, -4?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1786.2 to the nearest ten.\nAnswer: -1790","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 10\/3 + -17\/6. Let b = 42 - 167\/4. Let -b*k**2 + m*k - 1\/4 = 0. Calculate k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*b + 2*b = -4*h - 4, -16 = -4*b - 2*h for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 66.2 times -0.091?\nAnswer: -6.0242","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -5, 4, 3, -17 in ascending order.\nAnswer: -17, -5, 3, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-4)\/(-3))\/((-18)\/(-27)). Solve 3*p + 5*t = -11, -j*t + 7 = -0*p + 5*p for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = 3*g + 6*g. Let q be (-1 - (-12)\/4)*(g - -3). Suppose 0 = -2*l - 0 - 8. Put 2, l, q in decreasing order.\nAnswer: q, 2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -45389972 >= -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 3*r = -4*t + 1436, 1076 = 3*t + r. Suppose -s + t = 4*s. Is 17 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 109 divide 770?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50 = 2*d + 4*o, 3*d + 2*o - 40 = 3*o. Let t = -171 + 276. What is the greatest common divisor of t and d?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -23493, -46986, -70477, -93966, -117453, -140938?\n\"Answer: y**2 - 23496*y + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 990200?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 10\/21 + 4\/21. What is the biggest value in -0.5, -3\/4, 4\/5, w?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8898174 a multiple of 162?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 13*h**2 + 187*h - 342. Determine g(-16).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = b**2 - 5*b + 4. Let d be k(5). Let h be -3*(11\/(-3) + -3). Let c be 2 + -3 + 4 + h. Solve 4*r - 26 = -2*q, d*r + 2*q = q + c for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34*t + 411 = -109 - 194 for t.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 u when three letters picked without replacement from {u: 8, x: 1, i: 2, j: 2}.\nAnswer: 28\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -115818, -115798, -115766, -115722?\n\"Answer: 6*i**2 + 2*i - 115826","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-30)\/2*(3 + -4). Let g = w - 13. Let x(u) = -u**g + 0*u**2 + 2*u**2. Let o(z) = -2*z**2. Determine x(o(i)).\nAnswer: 4*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gw when two letters picked without replacement from {g: 1, e: 2, v: 1, w: 2}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -6563931*z**6 - 4*z**4 + 3*z**2 + 15770459*z - 2 wrt z.\nAnswer: -787671720*z**3 - 96*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*i + 5*i + 1424 = 0. Suppose -5*n + i = -4*y, -2*n + 143 = 4*y - 5*y. Suppose 0 = 2*f - 3 - 13. Calculate the highest common divisor of n and f.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = l**3 + 4*l**2 + 3*l + 10. Let a be u(-3). Suppose 2*y + 6 = a. Solve 5*t + c = -0*c + 6, 1 = -y*t + 3*c for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 68*a + 154502 = 154298 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 29\/7066692 < 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 648*y**2 - 99 - 104 + 203 to b*y + h + l*y**2 and give l.\nAnswer: 648","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lnlhllvhnh. Give prob of picking 1 l and 1 h.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 124 + -122. Suppose -3*f = 5*i - 24, m*i + 2*i - 5*f = 34. Calculate the remainder when ((-5)\/(-2))\/(4\/56) is divided by i.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -10545 - -434?\nAnswer: -10111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 627.221773 to the nearest 10.\nAnswer: 630","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t = -9, -2*c + 4*t = 3 + 3. Suppose c*q - 375 = 3066. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 59 - 29. Let t be (3 - -2) + 6\/(-2). Suppose h - a - 9 = -0*a, -t*a - 29 = -3*h. Calculate the remainder when p is divided by h.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5063 divided by 5\nAnswer: 5063\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 40, 57, 98, 175, 300?\nAnswer: 485","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 1765*w*z + 10*w - 1442*z - 7 wrt w.\nAnswer: 1765*z + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mf when two letters picked without replacement from {p: 2, f: 4, m: 3, w: 9}?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.4 or 0.042?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1880)\/1410)\/(104\/858)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:01 AM and 10:13 AM?\nAnswer: 612","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(-9)\/(u\/(u*u**(1\/4)*u*u*u))*(u\/u**24)\/u**(24\/11) assuming u is positive.\nAnswer: u**(-1361\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -178, -187, -196, -205?\nAnswer: -214","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = 2*l - 1208, 3*l - 963 - 849 = -5*x. What is the tens digit of l?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) be the third derivative of -o**5\/20 - o**2. Let t(c) = -2*c. What is w(t(u))?\nAnswer: -12*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0146483785 rounded to three dps?\nAnswer: 0.015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*i + 26*i - 4*k + 4 = 0, -4*i + 5*k = -60. Calculate the highest common factor of i and 710.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 5*b**2 - 26367*b + 656050. Give m(25).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2\/1*(-9)\/(378\/105). Let k(m) = 9*m**2 + 5*m - 4. Let w(j) = 14*j**2 + 8*j - 6. Give i*w(v) + 8*k(v).\nAnswer: 2*v**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1053) - -1*sqrt(1053)*2) + 2 + -4)**2*2.\nAnswer: -216*sqrt(13) + 18962","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ki when two letters picked without replacement from ibbhipk.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2662*r**4 - 32472044*r**3 - 53140824*r**2 - 28986768*r - 5270400.\nAnswer: 2*(r - 12200)*(11*r + 6)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -1. Let g(v) = -4. Let s(j) = g(j) - 3*y(j). Let o(q) = 5 - 7*q + 8*q - 4 - 2. What is o(i) - 4*s(i)?\nAnswer: i + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3\/4 + 13\/16. Let u = q + 13\/48. Let f be (4\/21)\/(4\/(-6)). Which is the closest to u? (a) 3 (b) f (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6873, 13778, 20683, 27588, 34493, 41398?\nAnswer: 48303","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y + 10 = -y. Let h = -7 - y. Solve 2*u = i - 11, 4*i - h*u - 2*u - 32 = 0 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 51 and 623271?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((25\/5)\/1)\/(-1).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 200?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 1, x: 3}. Give prob of sequence zxx.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 2908*u - 202. Let w(j) = -727*j + 52. Let n(m) = -2*k(m) - 9*w(m). Differentiate n(i) with respect to i.\nAnswer: 727","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 150127*x**3 + 5*x**2 - 23069*x?\nAnswer: 900762","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 8706.024 to zero dps.\nAnswer: 8706","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 47*p - 16*p - 29*p.\nAnswer: 2*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 111 minutes before 11:42 AM?\nAnswer: 9:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 6*4\/54*5*27*8\/13680\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 450?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2482 is divided by 774.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2 - -32)*(-14)\/5. Let n be ((-7)\/(-14))\/(3\/m). What is the units digit of n\/(-70) + (-104)\/(-5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -188*c**3 + 18*c**2 + 5*c - 94. Is d(-13) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 428, 435, 464, 527, 636, 803?\nAnswer: 1040","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 875604 and 6288?\nAnswer: 1572","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 47895 and 1605.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1048821203 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 592013691.\nAnswer: 3, 71, 311, 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w = -4*o - 0*w + 14, 2*o - w = 8. Suppose o*i = -10, 0 = -3*b + 5*i - 9 + 7. Let u(j) = 11*j. Let k(r) = -21*r. What is b*k(t) - 7*u(t)?\nAnswer: 7*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -122 (base 9) in base 5?\nAnswer: -401","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -w**2 + 3462*w - 2996361.\nAnswer: -(w - 1731)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000973 rounded to five decimal places?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 12\/25 of a microsecond?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 286\/(-33)*4*(-21)\/182?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 13063 - 13053.3354. Let n = 9.58 - d. Let y = -0.2984 + n. Round y to 1 dp.\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -240428, -240410, -240380, -240338, -240284, -240218, -240140?\n\"Answer: 6*s**2 - 240434","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -128618 = -34*a + 610542. What are the prime factors of a?\nAnswer: 2, 5, 1087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 43*m. Let x(a) = 53*a - 19*a - 19*a - 17*a. Give s(x(n)).\nAnswer: -86*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7458697*m = -7459037*m - 18020 for m.\nAnswer: -53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o + x - 1 = 0, 67*o - 65*o + 16*x = -52 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -2*j**2 - 4*j + 6. Let t be r(3). Let o = t + 244. Does 20 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3395979 + 4122921. What is u rounded to the nearest one hundred thousand?\nAnswer: 7500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2893 + -2804. Solve -m*o = -90*o + 5 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 3*c**2 + 11*c + 14. Let n be p(-3). Let h(d) = 1 + 6*d + 0*d + 6*d - n*d. Let j(k) = k + 0 + 0. Calculate h(q) - j(q).\nAnswer: 3*q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r**2\/2 + 436*r - 106929\/2 = 0. Calculate r.\nAnswer: -981, 109","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 80757418 to the power of 1\/10, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*p**2 - 3*p**2 + 2 - 3*p + 0 + p - p**4 to the form w*p + u + r*p**3 + i*p**4 + q*p**2 and give u.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 4*s - 17. Let p be v(4). Let u be -21 - -17 - (p + -2). Let t be ((-50)\/10)\/((-1)\/u). Which is the second biggest value? (a) t (b) -4 (c) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + 2*sqrt(17) + -3.\nAnswer: -2 + 2*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*t - 41 = 19. What is the second derivative of -2 + 4*w + 34*w**3 - 3 + 7*w + t wrt w?\nAnswer: 204*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -993.61447289 + 947.6144727. Let b = x + 46. What is b rounded to seven decimal places?\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i = -2*i + 2. Let d be (-3)\/(-2) + i\/2. Put -2, d, 3 in descending order.\nAnswer: 3, d, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 2*r**2 - 25*r + 9. Let m be f(3). List the prime factors of (8\/m)\/((-2)\/(-6))*-890.\nAnswer: 5, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1.392 - 0.392. Which is the closest to d? (a) 7 (b) 8 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 9 = f. Let v(c) = 12*c**2 + 2*c + 7. Is v(f) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -32*d**3 + 4*d - 1. Let h = -58 + 55. Is j(h) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32957 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 186*y**2 + 237*y**2 + 217*y**2 + 243*y**2 - 4 + 5 - 986*y**2.\nAnswer: -103*y**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 4*s + 22. Let w be x(27). What is the highest common factor of 13 and w?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 67, -2669, -1 in descending order.\nAnswer: 67, -1, -2669","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4 in 0.3, 1\/104, -0.1?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -p**3 + 1. Let n be j(-2). Suppose s = 59 - 23. Calculate the greatest common divisor of s and n.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0 + 0. Let z(f) = 940011*f - 33. Let l be z(3). Suppose s = -26*p + 29*p - l. What is p rounded to the nearest one hundred thousand?\nAnswer: 900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(300) + (sqrt(300)*1 - sqrt(300)) + -3)*-2)**2 + (sqrt(12)\/(sqrt(28)\/sqrt(7)))**2 + (sqrt(192)*1)**2 + sqrt(3) + sqrt(3).\nAnswer: -238*sqrt(3) + 1431","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -97.0717 rounded to 1 dp?\nAnswer: -97.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0014275776 to 4 decimal places.\nAnswer: -0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -n**2 + 35043*n - 980421. What is b(28)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -9*k**3 - k - 1. What is the remainder when 52 is divided by w(-1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1)\/7 - ((-6000)\/56 + -11). Let b = i + -38. Is 8 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 10\/45861?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 2*y**2 - 12. Let p = -3032 + 3035. What is s(p)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3*1)\/((-39)\/(-52))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -88320, -176641, -264962, -353283, -441604?\n\"Answer: -88321*f + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -119, -243, -389, -569, -795, -1079, -1433, -1869?\nAnswer: -2399","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 256 and 1216?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -39105 times -0.5?\nAnswer: 19552.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 10202110101011 (base 3) to base 16\nAnswer: 1e78cd","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1467 + -689. List the prime factors of p.\nAnswer: 2, 389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 87*d = -46 + 133 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -z**2 + 6*z + 8. Let n = -4 + 10. Let p be y(n). Let d = -3 + p. What are the prime factors of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2248?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t - 4*d - 4 = -16, 2*d = 6. Solve h + t = -4 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 88519 or 90490?\nAnswer: 88519","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*d**3\/13 - 240*d**2\/13 + 474*d\/13 - 236\/13.\nAnswer: 2*(d - 118)*(d - 1)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 3 - (-93)\/6*2. Let b be (t\/(-3))\/(38\/(-57)). Suppose -6*w + 47 = b. Solve -m - 4*m - w = 0 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -676 divided by -4.\nAnswer: 169","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 3*g - 13. Let z be s(5). Let r(o) = -3 + 3*o**2 - 2*o**3 - 3*o - z + 0*o + 2. Let b(c) = 4*c**3 - 5*c**2 + 5*c + 5. Determine -3*b(j) - 5*r(j).\nAnswer: -2*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 7693.2693s in days?\nAnswer: 0.08904246875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-2)\/(-6))\/(1\/69). Let h = 55 - a. Calculate the highest common divisor of h and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 7, v: 3}. Give prob of sequence vvx.\nAnswer: 7\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 364*t**3 - 4*t**2 + 4*t. Let m be j(1). Let k = m - 1819\/5. Let w = 4 + -3.7. Which is the closest to w? (a) 1\/3 (b) k (c) -3\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 + (-10 - ((-452)\/30 + 40\/100))\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 1 - 3*i)*(-2 + 2 + 2*i**2) + 24947*i**2 - 24947*i**2 + 151*i**3 + 2*i to k*i**3 + z + p*i + t*i**2 and give p.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1d83 + -5?\nAnswer: -1d88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -z - 2. Let a(s) = -3*s - 5. Suppose -7*m = -12*m + 20. Determine m*a(d) - 10*b(d).\nAnswer: -2*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -13761*w + 5. Let v be p(-4). Let a = v + -166661\/3. Let t = 11845\/24 + a. What is the common denominator of 73\/6 and t?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -2 - 3*y + 0*y**2 - y**2 + 2*y. Let x(q) = -5*q - 5 - 4 + 21*q**2 - 25*q**2 + 0. Determine 2*x(m) - 9*z(m).\nAnswer: m**2 - m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -12659\/60 + 211. Let l(o) be the third derivative of 1\/6*o**3 + 0 + 0*o**4 + 0*o + o**2 - k*o**5. What is the derivative of l(g) wrt g?\nAnswer: -2*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rznyn. What is prob of picking 1 r and 1 z?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) be the first derivative of 7 + 0*u**2 + 0*u + 4\/3*u**3. Let x(o) be the second derivative of -2*o**3\/3 - 2*o. What is x(n(s))?\nAnswer: -16*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**1\/m*m*m*m**2)**(-26) assuming m is positive.\nAnswer: m**(-104)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*((2*sqrt(847) + -5)*-1 + -5))**2.\nAnswer: 13552","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (475\/(-38)*(-1)\/1)\/(2\/12). Calculate the highest common divisor of 570 and r.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2357100 divided by 900.\nAnswer: -2619","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -38*y + 42 + 11 = -175 for y.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1341600.7 rounded to the nearest one hundred thousand?\nAnswer: 1300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 18800?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -200, -195, -190, -185, -180?\nAnswer: -175","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 46761023 is divided by 124696.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*sqrt(108)\/sqrt(4))\/(sqrt(729)*3 - sqrt(729) - sqrt(729)).\nAnswer: -5*sqrt(3)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a meter in centimeters?\nAnswer: 24","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 0 - 2 - 3*x**2 + x**2 - 3*x + x**2. Let v = -8 - -12. Suppose -h + 2 = -3*w - v, -5*h - 10 = 5*w. Calculate r(w).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -33583 and -33562 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 54*u**4*y**2 - 11*u**3*y - 25*u*y**2 - 2*u*y + 2*u + 2 wrt u?\nAnswer: 648*u**2*y**2 - 66*u*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l**(1\/2)\/l)**(-10))**(-8\/7)\/(l**(-4\/7)*l*l**(-5)*l)**(1\/13) assuming l is positive.\nAnswer: l**(545\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) be the first derivative of 64*m**3\/3 + 81*m**2\/2 - 4156*m - 1325. Find the first derivative of t(d) wrt d.\nAnswer: 128*d + 81","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by -245524403?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -o**2 + 20*o + 3996. Determine t(-54).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 25553*106.8.\nAnswer: 2729060.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*j**3 + 282*j**2 - 234 with respect to j.\nAnswer: 6*j**2 + 564*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (4\/(-10))\/((-6)\/(-30)). Let x be 3\/(-1) - 12\/j. What is the first derivative of w + w**x + 11 + 2*w - 3*w wrt w?\nAnswer: 3*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-25552)\/(-1344) - 19)*7. Factor u*v**2 + 2\/3*v + 4\/3.\nAnswer: (v + 4)**2\/12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (11\/231)\/((-18)\/(-21)). Let q(i) be the first derivative of z*i**3 + 2\/3*i + 1\/3*i**2 + 10. Factor q(k).\nAnswer: (k + 2)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + x + 2*x = 12, 4*x = -q + 23. Let d = 1.02 + -0.02. Let s = 38.54 - 38.84. What is the third smallest value in q, d, s?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 752*n - 20 = 745*n - 5*b, 4*n - 2*b = 26 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -78 - -98. Suppose -9 = 2*v + 5*x, 3*x + 44 = 3*v - x. Calculate the least common multiple of d and v.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -73.06348 rounded to zero dps?\nAnswer: -73","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7.091339 nanograms to milligrams.\nAnswer: 0.000007091339","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) be the first derivative of y**8\/560 - y**5\/30 - y**3\/3 - 1. Let q(m) be the third derivative of u(m). What is the second derivative of q(b) wrt b?\nAnswer: 36*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (2\/5)\/((-60)\/225)*-20. Suppose -4*f - r = -9*f. Calculate the greatest common factor of 2 and f.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of -4 - 60\/(-16) - (-10432692)\/464?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3 - -6. Let j = -125 + 205. Let k be (-20)\/j - 98\/(-8). Solve 0 = l*r + 3 - k for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -87 = 49*n - f + 5*f, 3*n + 928*f + 65 = 926*f for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) be the third derivative of -119\/12*z**4 + 0*z - 39\/2*z**3 + 0 + 67*z**2. Differentiate b(n) wrt n.\nAnswer: -238","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -d + 0*d**2 + 4*d - 2 - 2*d - 2*d**2 in the form k*d**2 + v*d + p and give v.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**6\/b*b**(-24)*(b\/(b*b**1))\/(b**(1\/15)*b) assuming b is positive.\nAnswer: b**(-316\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -32643979395663 less than -10?\nAnswer: 32643979395653","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -3 and 5883?\nAnswer: -17649","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f**(-1\/2)\/f)\/f)**50)**(1\/7) assuming f is positive.\nAnswer: f**(-125\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23*g**2 + 105*g**2 - 34*g**2.\nAnswer: 94*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -541483 times -18\nAnswer: 9746694","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 89\/(((-5 + 4)*1)\/1). Let q = b + 124. Calculate the greatest common divisor of 280 and q.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -m**3 - m**2. Let r be q(-2). Let c(l) be the first derivative of -3*l**2\/2 - 1. Let j be c(-2). Solve -r*s - 24 = 4*i, -2*i + 0*s + j = -4*s for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2673817 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1077509207 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -979*y = 15*f - 984*y - 60, 3*y = 4*f - 11 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -65*h**2 - 5443*h + 1423. Determine o(-84).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - v = -0*g + 97, 2*v = -4*g + 106. Calculate the least common multiple of g and 6.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 9830.278929 to the nearest integer.\nAnswer: 9830","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*n**2 - 140076*n + 700280 = 0. Calculate n.\nAnswer: 5, 35014","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:03 AM and 12:48 PM?\nAnswer: 165","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 49745780 a multiple of 230?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1 - -8. Let b(o) = 2*o**3 + 14*o**2 - 9*o - 63. Let h be b(-7). Which is smaller: h or f?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.1, 0, 2\/39, -8.36, 143?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 27 = 21. Suppose -4*n - 32 = -5*h, 3*n - v*h = -2*h - 25. Which is the fourth smallest value? (a) -5 (b) 2\/7 (c) 2\/17 (d) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4967 + 6167 = 4*d + 2*l, 0 = d - 4*l - 2797. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 101 is divided by 30?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 13, 60, 159, 328, 585?\nAnswer: 948","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-4)\/10)\/(1\/5). Let u be d\/(-6)*0 - -63. Let h = u + -45. Is h a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 3, s: 1, p: 1, x: 2, o: 4}. What is prob of picking 1 x and 1 s?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(-3\/4)*y)\/y**(-1\/8))**(2\/43)\/((y*y\/y**(2\/3))**(2\/3))**(-2\/25) assuming y is positive.\nAnswer: y**(3427\/38700)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 107\/372 and -167\/162120.\nAnswer: 5025720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -135*p**2*t**2 + 206122*p**2 - 2*p*t**3 + 26*p*t wrt t?\nAnswer: -270*p**2*t - 6*p*t**2 + 26*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fkg when three letters picked without replacement from {k: 1, g: 1, f: 1}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*w**2 - 8*w**2 - 1 + 148*w**2.\nAnswer: 149*w**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 1, u: 7}. Give prob of sequence uuyu.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 2*b**2 - 54*b + 46. Give p(27).\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from huhhluhuuhuuulhuuuu. What is prob of sequence uulu?\nAnswer: 55\/2584","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 7100 - -82?\nAnswer: 7182","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -36, -34, -32, -30, -28, -26?\n\"Answer: 2*l - 38","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 532 - 529. Let l(p) be the second derivative of -3\/5*p**2 + 16*p + 7\/10*p**s - 3\/20*p**4 + 0. Factor l(o).\nAnswer: -3*(o - 2)*(3*o - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 y and 1 a when three letters picked without replacement from {a: 1, k: 1, w: 2, y: 8, s: 8}?\nAnswer: 7\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + -1*(sqrt(56)\/(sqrt(8) + 4*1*sqrt(8)) - (2*sqrt(343) + -2)**2).\nAnswer: -281*sqrt(7)\/5 + 1373","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of (-255340)\/(-14) - ((-38)\/(-38) - 20\/14)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 564 a factor of 1098172075?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -32439\/10 - -3252. Let c = 9237 - 26029. Let x = c + 470081\/28. Calculate the common denominator of x and y.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h = 2*k + 4, 8 = 2*h - 3*h + 5*k for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 3, k: 5, s: 2, m: 1, x: 3, l: 1}. Give prob of sequence kc.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 1084\/(-813) - 738\/216\nAnswer: -19\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*c - 3*c**3 - 2*c + (-c**2 + 1 - 1)*(2*c + c - c))*(4243 - 18125 + 1288 - 5165 - 19136) in the form a*c**3 + f*c + r*c**2 + u and give a.\nAnswer: 184475","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 52280 to the power of 1\/3, to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 5*u - 25. Let z be c(5). Suppose 4*x - 4*o + 84 = 0, z = 5*o - o. Let m = x + 24. Sort 5, -11, -2, m in increasing order.\nAnswer: -11, -2, m, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/7, -0.2, -4, 3, -5\/23, -5 in descending order.\nAnswer: 3, -0.2, -5\/23, -2\/7, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 369, 723, 1077, 1431?\n\"Answer: 354*k + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 w when two letters picked without replacement from {r: 4, z: 4, w: 8}.\nAnswer: 7\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) be the first derivative of -2*k**3\/3 - 3. Let g(c) be the second derivative of -1\/6*c**3 + 0 - c + 0*c**2. Give g(i(t)).\nAnswer: 2*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 12*c + 7. Let x(w) = w**2 - 14*w - 9. Let l be x(15). Let y be p(l). What is the common denominator of (y\/(-3))\/(8\/12) and -12\/7?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 148 a factor of 48953?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*v**4 - 162*v**3 + 819*v**2 + 2460*v - 14400.\nAnswer: 3*(v - 48)*(v - 5)**2*(v + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = u. Let a(q) = q**2 - 2*q. Let b(w) = a(w) - 4*j(w). Let l(n) = n**3 - 17*n**2 + n - 13. Let d be l(17). Give b(d).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1101604 and 28?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -2 + -5 + ((-90)\/9)\/(-2). What is the tens digit of 1441 + 0 + 2\/s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 155472 (base 8) to base 4\nAnswer: 31230322","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -23 + 10*p - 9*p + p + (-3 + 15 + 5)*(-6 + 6 - 4*p) to z*p + x and give z.\nAnswer: -66","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3 - (-49)\/7) + (-92)\/22?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -68, -9187, 65?\nAnswer: 65","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -89, -0.4, 1 in decreasing order.\nAnswer: 5, 1, -0.4, -89","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.5 (b) 0 (c) 0.087 (d) -25 (e) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1338988 and 21420.\nAnswer: 476","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 59 - 59 - 2*w**4 + 0*w**4 - 2*w**2 + 21*w**3 to the form y*w**3 + a*w + l + d*w**4 + s*w**2 and give y.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -29965*l + 14*l**2 + 29965*l. Let b(i) = 8*i**2 + i. Determine b(d(g)).\nAnswer: 1568*g**4 + 14*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 6*u = 24. Let o(f) = -8*f**3 + f**2 - 8. Let w(d) = 9*d**3 - d**2 + 9. What is u*w(t) - 7*o(t)?\nAnswer: 2*t**3 - t**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4.3 - 4. Let y = 13372\/215 - 103\/43. Let l = y - 60. Sort l, 0, m in ascending order.\nAnswer: l, 0, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.3 - 0.4. Let y = -2.962 + -0.038. Which is the smallest value? (a) 0 (b) h (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = a - 4. Let c be h(2). Let o be -5*-2*c\/(-4). Suppose 0*s - 5*s - o = 0. Which is greater: s or -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1862 + 1860.67. Which is smaller: 1 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - ((-15928)\/57920 + (0 - (-2)\/(-20))).\nAnswer: -5\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -151.499989412 - -151.5. What is b rounded to seven dps?\nAnswer: 0.0000106","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 5 = -3*c + 20, 4*o - 2*c = -10. Let x be 2\/(-4)*(o - 2). Find the first derivative of 1 - q**3 - x + 2 - 2*q**3 wrt q.\nAnswer: -9*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-24)\/4)\/3 + 7. Let r(o) = 37 - 37 - y*o. Let k(a) = a**2 + 4*a. Suppose -20*u = -33*u + 52. Calculate u*r(q) + 5*k(q).\nAnswer: 5*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 72205 + -19196. What is the tens digit of t?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -4 and -7.\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 175616 and 3136?\nAnswer: 175616","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 592952?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 135019632?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 65 + -64.9. Let h = -2.4 + -0.4. Let n = -2.9 - h. Which is the closest to u? (a) -12 (b) 3 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*v = 7*v + 77. Is v a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -48372 - -3192623\/66. Calculate the common denominator of ((-3)\/(-7) - (-11)\/77) + (-1915)\/3780 and p.\nAnswer: 1188","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -108 + 113. Let c be 2 + a - (-6 - -3). Suppose 0 = -3*o - 6 + 21. Solve 0*b - 2*b + c = -4*y, -o*y = -b + 8 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 33\/5 of a gram in milligrams?\nAnswer: 6600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 37 and 3308.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -3*p**3 - p. Let y be d(-1). Let r = y - 9\/2. Let u = 9 + -10. Which is the smallest value? (a) r (b) u (c) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -7 - -9. Sort 0.2, p, 0, -1.\nAnswer: -1, 0, 0.2, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + -1 + (-31 - -22).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 104 divide 2174?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = z**2 - 11*z + 10. Let u be v(11). What is the derivative of 287*b + 6*b**3 - 2*b**3 - 287*b - u wrt b?\nAnswer: 12*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -154 = -3*z + z. Calculate the highest common divisor of 11 and z.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6792*b**3 + 19 + 5*b + 3389*b**3 + 3409*b**3 to s*b**2 + f*b + c + l*b**3 and give c.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -187*d**2 + 6545*d - 9. What is q(35)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 88.75, -1\/5 in increasing order.\nAnswer: -5, -1\/5, 88.75","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1333 or -223?\nAnswer: -223","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:35 PM and 9:03 AM?\nAnswer: 688","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*j - 5*j = 290. Suppose 52 = -q + 2*q + i, 0 = -q + 5*i + j. What is the units digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1296?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(sqrt(55) + sqrt(55) + sqrt(220) + sqrt(55))\/sqrt(11) + 3 + 3.\nAnswer: 6 + 20*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**(-8\/11)*s*s\/s**(-2\/3)*s**(-3\/7)*s\/((s*s*s\/(s**(-17)\/s))\/s*s) assuming s is positive.\nAnswer: s**(-4271\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -38, 3\/5, 1\/2, 0, 51 in decreasing order.\nAnswer: 51, 3\/5, 1\/2, 0, -38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 6138363 and 462?\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: a0 (base 11) to base 3\nAnswer: 11002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -3 - 1493*n**3 + 6 + 14*n - 6*n**2 + 1491*n**3. Determine m(-4).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(-3\/4)*l**(-5\/3)*l*l\/l**(-5\/2)*l*l**(-8)\/l assuming l is positive.\nAnswer: l**(-71\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -136*g*i*m - g*i + 1710850*g*m + 6*i*m - 59*i wrt i.\nAnswer: -136*g*m - g + 6*m - 59","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) be the third derivative of -l**7\/350 + 11*l**6\/200 - 27*l**5\/100 + 5*l**4\/8 - 4*l**3\/5 - 216*l**2 - 2*l. Solve u(y) = 0 for y.\nAnswer: 1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g**2\/9 + 31658768*g\/3 + 94976302\/9 = 0.\nAnswer: -47488151, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 209?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vpme when four letters picked without replacement from {m: 4, e: 1, v: 1, t: 9, p: 3}?\nAnswer: 1\/6120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 24 = l + d, -4*l + 3*d + 93 = 0. Is 19 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 2, b: 1, c: 3, e: 1, w: 5, y: 1}. Give prob of sequence wewc.\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*c - g + 1, -3*c + c - 14 = 2*g. Put c, 92, -1 in descending order.\nAnswer: 92, -1, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 77\/72 + 335\/36. What is the common denominator of -9\/10 and w?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -3 + 428*u + 6*u**2 - 435*u - 5*u**3 + 6*u**3. Suppose 0 = n - 0 + 6. Is c(n) a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) be the third derivative of 1\/15*z**5 + 4\/3*z**3 + 0 - 1\/20*z**6 - 7\/24*z**4 + 0*z - 20*z**2. Let x be j(-6). Round x to the nearest 100.\nAnswer: 1500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 387 - 385. Suppose 5*l - 16 - 12 = -3*h, 0 = -2*l - s. Solve h = 2*c + 5 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17*r + 4*r - 23*r.\nAnswer: -2*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1 - 0)*(1576\/(-232) - -7). Which is smaller: y or 0?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*u - 10*u - 4 = 0, -u + 14 = -4*i for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 712393.7ug in kilograms?\nAnswer: 0.0007123937","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 4*n = -3398, 28*n - 1133 = -x + 29*n. What is the hundreds digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -78717 divided by -5?\nAnswer: 78717\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 0.4, -2\/7, 7.2, 0.151, 0.62?\nAnswer: 0.62","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2 + -1. Let q = x + 3. Suppose 0 = -3*c - 15, q*g - 15 = -2*c - 3*c. What is the lowest common multiple of g and 14?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3 - -6. Let a(o) = o**3 - 4*o**2 - 3*o - 2. Let v be a(5). Suppose -h*y = -y - v. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3905?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -115\/14 and -45\/24236.\nAnswer: 169652","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 74\/3 and 79\/844.\nAnswer: 2532","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put together 1.864 and -98666557.\nAnswer: -98666555.136","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-12)\/18)\/((-6)\/45). Suppose 4 = 2*x, u - l*x + 8 = 3. What is the units digit of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 212.75 + -212. Let n = r + -0.74999986. Round n to six dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1047 (b) -1\/42 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 260?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -13*r + 278. What is s(19)?\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.1*6.9.\nAnswer: -0.69","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/13, 0.1059, -1\/3 in ascending order.\nAnswer: -1\/3, -2\/13, 0.1059","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1524?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -6080337 divided by 1\nAnswer: -6080337","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 130 + (-12 - -5) - ((10 - -6 - 10) + 7)?\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3837754 to the nearest integer?\nAnswer: 157","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -25*y. Let v(c) be the first derivative of -307*c**2\/2 - 560. What is v(o(m))?\nAnswer: 7675*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 5655 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 6 and 4180704.\nAnswer: 4180704","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Determine k, given that -5*k**2 + 68625*k - 137230 = 0.\nAnswer: 2, 13723","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-16)\/6*18\/4. Let o be (c\/(-9) + -3)*-3. Solve t - 3*i = o*t - 16, 0 = -3*i for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3328156903 to the nearest integer?\nAnswer: 1493","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/70*(-300)\/(-90)?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g = 5*t + 28, -3*g + 50 - 10 = -2*t. Solve 3*h - g = -h for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1251.4 - 430.5. Let n = p + -821. Sort 0.5, 40, n, 2\/9 in ascending order.\nAnswer: n, 2\/9, 0.5, 40","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -r**2 - 45*r - 317. Give b(-8).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -29*f - 64*f + 0*f + 2*f.\nAnswer: -91*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 86929 is divided by 955?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 18 + -17.905. Let j = 0.16 - k. Let a = 0.08 - j. Round a to two decimal places.\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 71422 to the nearest one thousand.\nAnswer: 71000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -227.9 + -22.1. Let q = 210.25 + y. Let j = -41 - q. Round j to the nearest integer.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -4*f**2 + 2*f - 2. Suppose -17 = 3*r + 1. Let l(p) = p**2 + 8*p + 13. Let o be l(r). Let j(v) = v**2 + 4*v**2 - 6*v**2. What is o*g(s) - 3*j(s)?\nAnswer: -s**2 + 2*s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 46454203 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o = -2*x + 4, 10 = -23*x + 24*x + 6*o for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 51\/2 of a year?\nAnswer: 306","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 85278*x. Let g(v) = v**2 - 2*v. Calculate u(g(f)).\nAnswer: 85278*f**2 - 170556*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 2 * 0.126025\nAnswer: 0.25205","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -7222775 greater than -7222778?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:33 PM and 3:58 AM?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1446915581 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 30603.55 nanograms to milligrams.\nAnswer: 0.03060355","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -984 - -984. Let x(j) be the third derivative of 0*j**3 - 1\/4*j**6 + 0 - 2\/15*j**5 + r*j**4 - 1\/30*j**7 - 5*j**2 + 0*j. Factor x(t).\nAnswer: -t**2*(t + 4)*(7*t + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - 1) + (-20 - -26) + -12\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -6*c**2 + 4*c. Let b(j) = -5*j**2 + 3*j. Let w(h) = h**2 + 5*h + 2. Let p be w(-3). Let u be (-2 - 1)\/(-3 - p). Determine u*q(y) + 4*b(y).\nAnswer: -2*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 2\/13, 51, 0.09?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1\/1782 + 25835\/7128. What is the common denominator of o and 20220\/1200 - (-6)\/(-10)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 78*p - 78*p - 170 = 34*p. Let c(q) = q**3 + 7*q**2 + 8*q + 3. Let k be c(-5). Sort 2, p, 1, k in descending order.\nAnswer: k, 2, 1, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1.45 + -1.509. Let i = 0.05899911 + q. Round i to 7 decimal places.\nAnswer: -0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -2936, -5871, -8806, -11741, -14676?\n\"Answer: -2935*y - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11 + 1201?\nAnswer: 1212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 92 minutes before 4:53 PM?\nAnswer: 3:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5 + 4 - -3) + (10 + -2 - 10)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 15385628?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 366 + -361. Find the third derivative of 1010*s**5 - 528*s**i + 2 + 17*s**2 - 523*s**5 - 2 wrt s.\nAnswer: -2460*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/(-20)*(-5)\/(-2))\/3.\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2, 2.7, -0.3, -3.9, 0?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ddaaabaajvbvqva. Give prob of sequence ajdq.\nAnswer: 1\/2730","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -979800 rounded to the nearest 100000?\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2422 - 1230. Suppose 4*j = 588 + v. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -10 + -201144?\nAnswer: -201204","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -24614, 0.5, 3, -5, 0, -24, -2.\nAnswer: -24614, -24, -5, -2, 0, 0.5, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 10686 < 438089\/41?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -584107, -584106, -584105, -584104, -584103, -584102?\n\"Answer: j - 584108","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fhmz when four letters picked without replacement from fzzzmmfmhffmhmhh.\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 3*y + 2 = -1, -4*p - 3 = -3*y. Let h = 2.6 + -3. What is the smallest value in h, -2, p?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 31757759 divided by -19\nAnswer: -1671461","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2.8? (a) -5 (b) 0.2 (c) -0.173 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -16696897.78 - -16696851.48000191. Let c = p - -46.3. Round c to seven decimal places.\nAnswer: 0.0000019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -q**3 - 7*q**2 - 3. Let x(c) = -2*c**3 - 15*c**2 - 7. Let r(p) = -13*l(p) + 6*x(p). Let n be r(3). Let g = n - 22. What is the tens digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 times -778?\nAnswer: 233.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -y**3 - 2*y**2 - 2*y - 1. What is o(-2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of f**2*n**2 + 31196*f**2*n - 20*f*n**2 + 44515*n**2 + 42 wrt f?\nAnswer: 2*f*n**2 + 62392*f*n - 20*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -8*c**5 - c**3 - 14*c**2 - c + 1. Let p(x) = -x**5 - x**3 - x**2 - x + 1. Let h(g) = n(g) - p(g). What is the third derivative of h(t) wrt t?\nAnswer: -420*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 68 or 58?\nAnswer: 68","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2 - 8\/(-3))*3. Let h(m) = -4*m + 7. Let y(g) = g - 2. Let j(u) = -2*h(u) - 7*y(u). Let l be j(3). Which is greater: l or n?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2271054 divided by -757018.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mmmxxxmoxxxxob. Give prob of sequence moo.\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) be the first derivative of -6*l**3 - 8. Let c(o) = -2*o**2. Give y(c(q)).\nAnswer: -72*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -25*x**2 - 6*x + 6. Let l(p) = -874*p**2 - 209*p + 209. What is 209*d(h) - 6*l(h)?\nAnswer: 19*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -390, -219, 264, 1215, 2790?\n\"Answer: 26*u**3 - 11*u - 405","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 7193.318 grams?\nAnswer: 7193318000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35*r = -29*r - 42. Solve 0 = -3*h + r - 19 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fdfdffffffd. What is prob of sequence ff?\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -65*t - 38*t + 106*t + 8 - 43*t - 7.\nAnswer: -40*t + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (-64 - (-5 + 11) - -2) + -35 + 26?\nAnswer: -77","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2663505 rounded to three dps?\nAnswer: -0.266","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -1102, -5604, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x = -v - 2 - 1, -4*v - 5*x = -63. Calculate the greatest common divisor of v and 242.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20248653.\nAnswer: 3, 97, 149, 467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 18\/319 and 9\/88?\nAnswer: 2552","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 622988488*d**4 - 427747666 wrt d.\nAnswer: 2491953952*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-5 - -2)*(-56)\/6 is divided by 15.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11775 to the power of 1\/2, to the nearest integer?\nAnswer: 109","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -60, -122, -188, -258, -332, -410?\n\"Answer: -2*s**2 - 56*s - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1523 - 863. List the prime factors of a.\nAnswer: 2, 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 11 + 7 + (13 - 6). Solve c + 4*c = -m for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*i**6 - 937737*i**4 + 2*i**2 + 4*i - 42889 wrt i?\nAnswer: 240*i**3 - 22505688*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 14950?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 152 and 1024?\nAnswer: 19456","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 3*j**2 + 2*j + 2. Suppose -l = -r, 20*l = 4*r + 15*l + 5. Let b(m) = -3*m**2 - 2*m - 2. What is r*b(s) + 4*p(s)?\nAnswer: -3*s**2 - 2*s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -601 + 602 - (-3 + -52 - -6 - (1 + -1))?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1 + (-14)\/(-8))\/((-1602)\/(-144) + -11). Solve -l*j - 7*j = j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:14 PM and 1:56 AM?\nAnswer: 342","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1123*c = 1124*c - b - 17, 2*c + 25*b = -425 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 76743882.\nAnswer: 2, 3, 17, 41, 2039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1133 is divided by 1117?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -132 divided by 3\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -254 (b) -1.1 (c) 14\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4*m**3*n**2 + m**3*n - 408*m**2*n - 641*m*n**2 wrt n?\nAnswer: 8*m**3 - 1282*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*t**2 + 3*t**2 - 4*t**2 + 5*t**2 to the form b*t**2 + a + d*t and give b.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -210121222 - -112011?\nAnswer: -210002211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by -15?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -f**2 - 7*f - 12. Let m(j) = 64*j + 1019. Let p be m(-16). What is n(p)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5 + -8. Let j = p - -8. Solve -j*w + 5*c + 25 = 0, 5*w - 3*w + 2*c - 2 = 0 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 626341 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 5 = 2*a. Let v(d) = 2*d**2. Let t be v(a). Suppose -3*w - 11 = -4*g, t*g + 30 = 5*g + 5*w. Solve -g = -r - 0 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l + 958*q = 956*q - 6, 6*l + 4*q + 10 = 0 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 6 and 20.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2871, 5751, 8631?\nAnswer: 11511","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3496 = -10273*t + 10349*t for t.\nAnswer: 46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -g**3 + 8*g**2 - 3*g - 10. What is the remainder when q(6) is divided by 16?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 632*p + 0 + 14 - 16 + 2.\nAnswer: 632*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*l - g + 24 = 0, -g = 73*l - 68*l + 26 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.4 (b) -5 (c) -8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -192449\/1663 at least -117?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1)\/((-1)\/87) - (10 - 11). Let v = y + -83. What is the units digit of (v\/6 + 2\/(-6))*58?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 133303523 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Do 21408 and 128443\/6 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -522 + 779. Let n = q - 258.37. Round n to one dp.\nAnswer: -1.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1\/110064 + -472361\/330192. Find the common denominator of (4368\/(-216))\/((-10)\/6 - 1) and g.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 372223384?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 74, 101, 130, 161, 194, 229?\n\"Answer: m**2 + 24*m + 49","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-11 - (-3 - -11 - 8)) + 22 - 11?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -31002002002 (base 4) to base 3.\nAnswer: -20102120010201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -20, 37, 2\/5, -0.2, 0.1, 4\/7 in increasing order.\nAnswer: -20, -0.2, 0.1, 2\/5, 4\/7, 37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -17*x + 21*x + q, -9 = -2*x + q. Solve -x*k + 4*k = 8 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve m - 4*g - 14071 = -14066, 2*g + 1 = -m for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 21762, 174294, 588318, 1394580, 2723826, 4706802?\nAnswer: 7474254","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (-11 - 39 - 26)*(-2*p + 1 - 1) as j + m*p and give m.\nAnswer: 152","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26*i**3 + 22*i**3 - 5*i**3 - 6*i**3 + 0*i**3.\nAnswer: -15*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = f**3 + f**2 + f + 1. Let r(d) = -4*d - 53. Let s be r(-13). Let y(j) = j**3 + 3*j**2 + 3*j + 2. What is s*y(h) + 3*x(h)?\nAnswer: 2*h**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 22? (a) -0.5 (b) -3\/32 (c) -0.8 (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p - 15 = -30. Let s = 2 - 4. Let d be (12\/3)\/(s\/(-1)). Solve -3*b = -5*w + 4*w + 4, p = -d*b + w for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.2 - -0.6. Suppose -4*v + 23*c + 15 = 18*c, v + 15 = -5*c. What is the closest to v in 11, z, 2?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 103.42 and -840.\nAnswer: -86872.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 115078 and 19062?\nAnswer: 706","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1765610718.\nAnswer: 2, 3, 17, 61, 283769","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = i**2 + 2*i - 1. Let x be h(1). Suppose s + 4*j = -5230, 0 = -2*s - j - x*j - 10480. Let f = -154 + s. What is f rounded to the nearest one thousand?\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (255 - 78 + 13)*(2*t + 0 + 3 - 3*t).\nAnswer: -190*t + 570","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -30360.5 - -30361. Sort -5, 34, y, -3\/4, -37.\nAnswer: -37, -5, -3\/4, y, 34","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 5916 and 34?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 898 a factor of 55034113?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:17 PM and 2:39 AM?\nAnswer: 502","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 40\/105 - (20\/(-21) - 8\/(-12)).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -6.9 less than or equal to -4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*y - 2*y + 3*y)*(3*y + 0*y - 2*y)*(26*y + y + y).\nAnswer: 28*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -n - 18. Let m be r(-22). What is the remainder when 2\/m - (-1158)\/12 is divided by 33?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3040*x + 3037*x - 6074*x + 48*x**3 in the form t*x + y*x**3 + g + u*x**2 and give t.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5*(9\/(-5) - 1*-1).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 478 divided by 2?\nAnswer: 239","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -269*d - 1820. Let p be f(-7). What is the greatest common divisor of p and 9219?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -20 - -23. Suppose 18 = 4*x + 2*o, c = 4*x - 0*o - 3*o. Suppose -z + x = 2*z, 116 = 2*w + 2*z. What is the tens digit of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14076547?\nAnswer: 47, 299501","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -6, -10, -10, -6, 2?\n\"Answer: 2*i**2 - 10*i + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 151790.\nAnswer: 2, 5, 43, 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1334 is divided by 1168.\nAnswer: 166","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(171)*-6 - (sqrt(171)*1 - sqrt(171) - sqrt(171))*1)\/((sqrt(441) - sqrt(441)*-1)*2).\nAnswer: -11*sqrt(19)\/28","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jpp when three letters picked without replacement from {j: 5, q: 1, p: 3, u: 1}.\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 68\/85*(-10)\/(-4). Suppose 8*w + r = 10. What is the lowest common multiple of 21 and w?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 161846 is divided by 7060?\nAnswer: 6526","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -8*(7 + -6)*-13. What is the greatest common factor of v and 56?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = a**3 - 16*a**2 + 16*a + 445. Calculate y(9).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-48)\/(-174)*16*(-112)\/21504?\nAnswer: -2\/87","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 818?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) be the first derivative of -w**4\/4 - w**3 + 7*w**2\/2 + 3*w + 4. Calculate the remainder when 70 is divided by b(-5).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find y, given that 2*y**4\/7 - 44892*y**3\/7 - 25482894*y**2\/7 - 3634000*y = 0.\nAnswer: -553, -1, 0, 23000","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38 = -2*u + 4*u. Let g(y) = 4*y**3 - 2*y - 2. Let k(n) = -17*n**3 - 18*n**2 + 21*n - 30. Let b(f) = 4*g(f) + k(f). List the prime factors of b(u).\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2 + -1)\/(2\/(-2)). Suppose 0 = 4*n - 4*p - 20 - 36, -w*n + p = -52. Calculate the remainder when n is divided by (26\/(-3))\/((-14)\/21) + -2.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00150727239 rounded to 5 dps?\nAnswer: -0.00151","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 122*a**5 + 10*a**4*v**2 + 1952*a*v**2 + 5*a*v wrt a.\nAnswer: 2440*a**3 + 120*a**2*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(396)*-3*-4.\nAnswer: 72*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.94*-3.155.\nAnswer: -2.9657","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -z**2 - 2*z + 5. Let n be s(-4). Let g = n - -19. Calculate the highest common divisor of g and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 57*d**5 + 29 + 0*d**3 + 92*d**5 + 0*d**3 + 4*d**2 + 0*d**3 wrt d?\nAnswer: 8940*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that 2*w**3 - 722*w**2 - 6928810*w - 4216796886 = 0.\nAnswer: -961, 2283","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -193661 + c + 5*c + 193698. Calculate h(-9).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 0 - -f6fb8?\nAnswer: f6fb8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((0 + sqrt(28))**2 + 5 - (sqrt(1008) - (sqrt(1008) + -1))**2) + ((-1*1*sqrt(280))\/(sqrt(490) - -1*sqrt(490)))**2 + 2.\nAnswer: 239\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 185.7787 weeks in days?\nAnswer: 1300.4509","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3.5 - -3. Let m = -0.84 - 0.16. What is the third biggest value in q, 4, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/5, 2\/11, -5, -2\/13, -2\/9 in descending order.\nAnswer: 2\/11, -2\/13, -2\/9, -3\/5, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y = -62 - 91. Let h = y - -55. What is the units digit of ((-60)\/(-5) + 0)*h\/3?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = m**3 - 59*m**2 + 117*m - 21. Let h be x(57). Calculate the highest common factor of h and 125.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find o, given that 2*o**2\/5 + 1152*o\/5 - 8162\/5 = 0.\nAnswer: -583, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4174?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 401*t + 5641. Let z be c(-14). Solve 0 = 3*h + z - 12 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 52.46424 litres in millilitres?\nAnswer: 52464.24","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 2*j**2. Let w(b) be the second derivative of b**4\/3 - b**3\/3 - 3*b. Let f(n) = -7*n**2 + 5*n. Let h(g) = -2*f(g) - 5*w(g). Determine h(s(a)).\nAnswer: -24*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2 - -22. Are o and 20 non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -6*f*w**3 - 4288*f - 367481*w**3 + 30*w**2 wrt w?\nAnswer: -36*f - 2204886","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*y + 4*y = -9 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1b (base 12) to base 16.\nAnswer: -17","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 3*8\/(-12)*6\/(-2). Suppose -q*m - 80075 = -11*m. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 846 is divided by 40?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ai when two letters picked without replacement from {v: 9, a: 1, i: 7, f: 1}.\nAnswer: 7\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ic when two letters picked without replacement from {i: 9, c: 9}?\nAnswer: 9\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 42\/4 + (-1)\/2. Suppose g = -h + 5, g - 3*h + 41 - 94 = 0. Solve -22*i + n = -g*i for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) be the first derivative of -x**4\/4 + 8*x**3\/3 - x**2\/2 + 7*x + 29. Determine j(8).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -26c1ac (base 15) to base 7\nAnswer: -21560421","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = h**2 - 55*h + 546. Let i be n(13). What is the nearest to i in 0.14, -4\/5, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 minus -3628701?\nAnswer: 3628705","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -675, -676, -677, -678, -679?\n\"Answer: -j - 674","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 52*j**2 + 18*j - 18. Let q be u(1). Suppose -656 = -q*r + 11*r. What is the remainder when 94 is divided by r?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*v**4 + 19*v**2 - 14*v + 2 wrt v?\nAnswer: -36*v**2 + 38","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 197*d - 220*d = -2*z - 59, 5*d + 3*z - 18 = 12 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -29\/16144 and -17\/3088?\nAnswer: 3115792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (33\/4)\/(13\/52). Let r = -32 + i. Let d be (-4)\/((-16)\/36)*r. What is the greatest common divisor of d and 36?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 32\/(-10) + 2\/10. Suppose -2*n - 1 = -3. Sort n, z, 2 in decreasing order.\nAnswer: 2, n, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 3*y - 26 = 0, -5*d - 110 + 16 = -3*y. Let w = 21 + d. Which is bigger: 6 or w?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*x + 7 - 42. Suppose 2*p - 11 = -x*d, -25 = -5*d - 6*p + 11*p. Which is the closest to -2? (a) d (b) 2\/27 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -7*p**2 + 7*p - 5. Let m(f) = 6*f**2 - 6*f + 4. Let o(h) = 6*m(h) + 5*s(h). Let k(d) = 3*d**2 - 2*d - 2. Calculate 3*k(x) - 6*o(x).\nAnswer: 3*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.504536358 to 3 dps.\nAnswer: 2.505","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*b - 4*l - 6186, 5*b - 7*l = -6*l + 10310. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5361.579ng in micrograms?\nAnswer: 5.361579","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 s, 1 f, and 1 p when four letters picked without replacement from sgffsssffppgfsfgps?\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 8, m: 3, r: 1, k: 2, q: 5}. Give prob of sequence mrq.\nAnswer: 5\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 32015 + -32012. Which is the second smallest value? (a) f (b) -4 (c) -3 (d) -0.007\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 565890 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2019 + -2009. Which is the second smallest value? (a) 0.2 (b) r (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 12775, 25664, 38551, 51436, 64319, 77200?\n\"Answer: -i**2 + 12892*i - 116","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -353789968*a**3 + 6647*a**2 - 44*a - 81.\nAnswer: -2122739808","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is seven halves of a meter in millimeters?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 5*d**5 + 356439*d**4 - d**2 + 439*d - 23066 wrt d.\nAnswer: 300*d**2 + 8554536*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 321 + -304. Solve -k + 2*b - 2 = 2, -i = -k - 5*b for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s = -5*p + 12, -3*s + 12 = -p + 3. Suppose 0 = 4*n + 3*z - 3, -5*n - z + p = -12. Let o be (18\/3 - n) + 11. Which is bigger: o or 0?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*o**2\/4 - 89301*o\/2 + 51866541\/4 = 0. Calculate o.\nAnswer: -59823, 289","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = h**3 + 3*h**2 + 2*h + 2. Let l be o(-2). Suppose l*s = 4 + 4. Let p = -16 + 23. What is the smallest common multiple of s and p?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 112355793?\nAnswer: 3, 11, 1134907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -3*y + 2*v, -y + 5*v - 6 = 3*y. Suppose 24*c - 1094 = 106. Calculate the remainder when c is divided by -1*y*-1*26.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -14 + 10. Let h be (-7)\/2 + 2\/z. What is the units digit of 1 + h\/6*-6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*c**3 + 45452*c**2 - 90920*c = 0 for c.\nAnswer: -11365, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -608 - -665. Calculate the highest common factor of 627 and i.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = o. Let l(x) = -5972*x**2 + 868*x. Calculate l(j(t)).\nAnswer: -5972*t**2 + 868*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y*y**(-2\/3))**(-5\/4))**(-10))**5 assuming y is positive.\nAnswer: y**(125\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3446 is divided by 347.\nAnswer: 323","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -161*3\/108 + (2665\/(-1230))\/(52\/(-6)).\nAnswer: -38\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**5\/y**9 assuming y is positive.\nAnswer: y**(-4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 29*n**2. Let a(c) = -187*c + 275. Let q(i) = -3*i + 5. Let j(z) = a(z) - 55*q(z). Calculate s(j(t)).\nAnswer: 14036*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -59? (a) 5 (b) -1\/8 (c) 0.5 (d) -2\/35\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*p**4 + 2*p - 4*p**2 + 2*p**2 + 4*p**4 - 3*p**3 - 8*p**4 to y*p + m + w*p**3 + l*p**2 + q*p**4 and give w.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) be the second derivative of -z**5\/4 - 5*z**4\/6 - 5*z**3\/6 - 36*z. Factor p(r).\nAnswer: -5*r*(r + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 76 minutes before 11:27 AM?\nAnswer: 10:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -x - 1. Let p(j) = -j**2 + j - 3. Let u(s) = -2*c(s) + p(s). Suppose 32 = 3*t + 5*i, -t - 7 = -4*i + 5. Give u(t).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 375659 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 1, w: 1, m: 1, c: 10}. What is prob of sequence wm?\nAnswer: 1\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4 + 19\/5. Sort -29, p, -2, -4.\nAnswer: -29, -4, -2, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(1\/3)\/y)**42\/(y**(4\/3)\/y**(-2\/15)) assuming y is positive.\nAnswer: y**(-442\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide -181 by -1.\nAnswer: 181","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (58\/2)\/((-2)\/(-2)).\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 63, -4, 2, -2558 in decreasing order.\nAnswer: 63, 2, -4, -5, -2558","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 890007 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 3\/8 (b) 1\/3 (c) 2\/5 (d) 94\/19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/2, -0.9, 4, 7.\nAnswer: -0.9, -1\/2, 4, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1 + -1. Let k be (-3)\/n*(-20)\/30. Is (22 - 2) + k + 3 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m**(2\/7)\/m)\/m)\/m**8)\/(m**(-2\/3)\/((m\/((m*m**(-15))\/m))\/m)) assuming m is positive.\nAnswer: m**(125\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -10 (b) 33\/7 (c) 0.03\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -76 (base 8) to base 11.\nAnswer: -57","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 2, m: 4}. Give prob of sequence gg.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.3 (b) -0.5 (c) -3358 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m - 3 = -5*y, 5*m - 5*y + 10 + 0 = 0 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 392645319 and 8558?\nAnswer: 4279","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.031 + 0.631. Let a = 0.756 - p. Let f = a - -0.044. What is the closest to 0 in -4, -2\/11, f?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1486 or 2454?\nAnswer: -1486","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -30*p + 22*p - 9*p**3 - 9*p**3 - 15*p + 23*p.\nAnswer: -18*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 1 + 4)*(26 + 87*y - 84*y - 31) + 5*y - 5*y + y.\nAnswer: 16*y - 25","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2\/7 (b) 5 (c) -691 (d) -0.1 (e) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6*s**3 + 0*s**3 + 0*s**3 + (9 - 9 - 19*s**3)*(-40 + 9 + 135) + 2*s - s**3 - 2*s + (-5 + 4 + 2)*(2*s**3 + 0*s**3 + 0*s**3).\nAnswer: -1981*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oecoelcldlecoolole. Give prob of picking 1 l and 1 o.\nAnswer: 25\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 151550790 to the nearest integer?\nAnswer: 12311","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -j**3 - 9*j**2 + j + 8. Let b be h(-9). Let d = b - -24. What is the units digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 120042 a multiple of 117?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 a factor of 54492786?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*x - 6*x = 918. What is the units digit of x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate f**2*o + 2131*f**2 - 12718683*f*o + 153*f + o + 2 with respect to o.\nAnswer: f**2 - 12718683*f + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 16455 + -16451. Let a(t) = -4*t**2 - 5. Let m(u) = 4*u**2 + 6. Determine c*m(p) + 5*a(p).\nAnswer: -4*p**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/((-12)\/9*(-18)\/60)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 15\/(-40)*(-4)\/6. Sort i, 0.3, 0.07.\nAnswer: 0.07, i, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2121 (base 3) in base 2?\nAnswer: 1000110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*q - 23 = -7*v, -20*v + 23 = 5*q - 15*v + 18 - 35 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -5\/4, -1\/5, 17, 5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve a - 2*t - 2 = 11, 0 = 4*a - 5*t - 40 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -9 - -13. Suppose 3 = -x*f + f. Let t(a) = -3*a**3 + 2*a**2 + a. What is t(f)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 1 + 1113*u - 1450*u)*(0*u**2 - 6*u**2 + 6*u - 4*u) as x*u**2 + o*u + q*u**3 + j and give x.\nAnswer: -680","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*s + 4 = -j + 6*s, 0 = -2*s - 4. Let u(n) = 5*n + j*n - n + 2*n + 15*n. Let l(v) = -6*v. Give u(l(q)).\nAnswer: -150*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 1, c: 1, t: 1, e: 1, w: 1}. Give prob of picking 1 c, 1 u, and 1 w.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 524720\/157 or 3342?\nAnswer: 3342","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/o**(3\/4))**(-14))**(7\/6) assuming o is positive.\nAnswer: o**(-49\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -68119823 or -68119820?\nAnswer: -68119820","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Determine w so that -w**5\/5 - 6*w**4\/5 + 6*w**3 + 232*w**2\/5 + 39*w - 90 = 0.\nAnswer: -5, -3, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -2 - 20 - x**2 + 112*x - 100*x. Let j be d(5). Suppose 14 = y - 0. Which is bigger: y or j?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 479374003 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(1\/4)\/h)**(-5\/2))**(-50)*(h*h**(1\/6)*h*h*h*h*h**(-1)\/h)**(-40) assuming h is positive.\nAnswer: h**(-2645\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2 and 7.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/(z\/(z*(z**2*z)\/z*z))*z\/z**5)**(-42))**(-7) assuming z is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Add together -68456081 and -0.6.\nAnswer: -68456081.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*f - 17 = -i - 3*f, -46 = -2*i + 2*f. Suppose 0 = i*j - 25*j - 114. List the prime factors of j.\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2364 divided by 591\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*r + 10 = -6*r. Suppose 23 = r*g - 7. Suppose 3 - 12 = -g*j. Solve 3*a = -2*n - 16, j = -n - a - 3 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 55*j = 64*j. Solve j = 15*k - 3*k + 24 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1519343 to the nearest integer?\nAnswer: 115","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 - (-8 + (-5 - -11)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 19 + -36. Let x = -15 - z. What is the second biggest value in -6, x, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-4)\/((b\/b**0)\/b*b))\/(b*b**(1\/4)*b)**(3\/10) assuming b is positive.\nAnswer: b**(-227\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 1294.8021us?\nAnswer: 0.00000035966725","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -26*g + 18*g + 8. What is the nearest to 2 in 1\/2, -4, g, -5?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 221 (base 6) to base 13.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is (1*(3 + -4))\/((-7)\/1813) a multiple of 37?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 64 + -73 - -28 - -47.\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*d + 5*y + 7, -d + 5*y = 4*d - 15. Suppose -d*z - 28 = 2*t - 4*t, 2*z = -3*t + 34. Is t a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 351 is divided by 57.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (660\/(-48))\/(2816\/6144).\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00184531365 to 4 dps.\nAnswer: -0.0018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 18 + (-47 - -35 - 81) + 13 + -1.\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 * -0.898\nAnswer: 0.449","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -97879539*q**3 + 22773790?\nAnswer: -293638617*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-8373)\/(-44656))\/((-9)\/3504).\nAnswer: -73","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 169529.\nAnswer: 47, 3607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*u - 1400 - 4680 = 0. Is 5 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 843.\nAnswer: 3, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -4*k**2 + 17*k - 52. Let a(t) = -3*t**2 + 15*t - 52. Let n(i) = 5*a(i) - 4*m(i). Let u be n(-12). Solve c + u = 3 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = l**3 + l**2 - 82*l - 42. List the prime factors of r(-9).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_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: Let t(s) = 124*s**3 - 2*s**2 + 1. Calculate the remainder when t(1) is divided by 25.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*q - 50 = 100. Let o be (4 - 15\/q) + -4. Factor -3\/5*r**3 + 3\/5*r**2 + 3\/5*r - o.\nAnswer: -3*(r - 1)**2*(r + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 81146 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -7 + 4. Let y(p) = 7*p**3 + 5*p**2 + 3*p - 5. Let m(u) = 9*u**3 + 6*u**2 + 4*u - 8. Let l(o) = -3*m(o) + 4*y(o). Determine l(h).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 29540000 to the nearest 1000000.\nAnswer: 30000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 1, a: 1, g: 6, c: 1}. Give prob of picking 1 a and 3 m.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4131 and 216?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -191712, -383433, -575154, -766875, -958596, -1150317?\n\"Answer: -191721*q + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -u**2 - 163*u + 7*u**3 + 161*u + u**3 - 4 as i*u + s + d*u**2 + v*u**3 and give i.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 373 minutes before 3:40 AM?\nAnswer: 9:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -6*f + 61. Let j(s) = s**3 - 9*s**2 - 10*s + 11. Let d be j(10). Let x be k(d). Which is the biggest value? (a) 19\/5 (b) x (c) 2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10 divided by -47\nAnswer: 10\/47","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*u + 16 = 4*h, -2*h - 155 = -4*u - 137 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(1\/2)*x**(-12)\/x*x)**42*x**(-2)\/(x*(x\/x**(2\/19))\/x*x)*x*x**(-4)*x**(3\/5) assuming x is positive.\nAnswer: x**(-46483\/95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5*c + 2*c + 0*c)*(-4 + 6 + 0) - 21*c - 17*c + 2*c in the form j*c + o and give j.\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/4 in -0.7, 1912, 1\/9, 1\/3, 39?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l - 5*z = -z - 10, -4*z - 11 = -5*l. Let p = 31.5 + -31.9. Sort p, l, 3\/2 in descending order.\nAnswer: l, 3\/2, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -232833*o - 415251.\nAnswer: -232833","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 6 + -1. Let w(g) = -g**2 - 8*g + 3. Let q be w(-7). Suppose r + 2*v = -51, q*v = -k*r + 5*v - 245. What is the common denominator of 17\/12 and r?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -8*r**2 - 7*r + 26. Let l(g) = 5*g**2 + 5*g - 17. Determine 7*l(k) + 5*x(k).\nAnswer: -5*k**2 + 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = y - 2. Let i(o) = 9*o - 12. Let v(r) = -i(r) + 6*q(r). Let k(t) = -12*t. Give k(v(l)).\nAnswer: 36*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) be the second derivative of -w**5\/20 + 11*w**4\/12 - 7*w**3\/3 - 31*w. Does 24 divide l(6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = s - 6. Let n be f(5). Let b be n\/(1\/6*3). Is 13 a factor of (-64)\/6*(-1 + b)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 14540000 = 2*q + q, 3*k - 2*q - 21810000 = 0. What is k rounded to the nearest 1000000?\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 926, 925, 924, 923?\n\"Answer: -o + 927","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -17, -29, -49, -77, -113, -157?\nAnswer: -209","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/7, -26\/23, 0, -2\/9 in decreasing order.\nAnswer: 2\/7, 0, -2\/9, -26\/23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from egbnj. What is prob of picking 1 j and 1 b?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 45530 and 1500.\nAnswer: 6829500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 49 = -2*j + 7*i, -5*j + 4*i - 3397 + 3369 = 0 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 141 divide 881075583?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 61281 and 7411906.\nAnswer: 619","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1 - (-4 - -4 - 11). Let p(w) = 51*w - 49. Is p(y) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = w - 3*y, w + 2*y = 6*w - 12. Suppose u + 5*c = -2*u - 18, 3*u = -2*c - 9. Let h be (u - -5 - 4)\/2. Solve -w*f + h = 4 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 36607 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 25082420 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 189 divide 668338149?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -11177 + 11225640\nAnswer: 11214463","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2705036231?\nAnswer: 2705036231","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -16 + 20. Let x be 1*(t\/(-10) - (-138)\/(-30)). Sort 6\/7, x, 4 in increasing order.\nAnswer: x, 6\/7, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*n - n - 3*g - 117, -3*g - 154 = -4*n. Is n a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 28839 - -8444. What is p rounded to the nearest one thousand?\nAnswer: 37000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -532, -1071, -1610, -2149, -2688, -3227?\nAnswer: -3766","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1015*i**2*x**3 + 2*i*x**3 - 2*i*x**2 + 174*x**3 wrt i.\nAnswer: 2030*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1552 is divided by 37.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) be the third derivative of -n**6\/120 + n**3\/6 + 74*n**2. Let k = 12 - 14. What is m(k)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = o**2 - 4*o + 2. Let r = 48 + -36. Suppose -p + 2 = -4. Suppose r = 10*a - p*a. Give y(a).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -170024601*u**3 - 2*u**2 + 1539556*u - 2?\nAnswer: -1020147606","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 344080408?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -3, 13, -2 in ascending order.\nAnswer: -3, -2, -1, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1 - 0. Let x(h) = -h**2 - 6*h + 3. Let l be x(-6). Suppose -g - b = -l. What is the units digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 20 and 30?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 34185571\/3891 - -684\/1297. Let q = 8707 - w. Let i = q - -1654\/21. Which is greater: i or 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 7895621, 15791258, 23686903, 31582556, 39478217, 47373886, 55269563?\n\"Answer: 4*w**2 + 7895625*w - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 80 = 8*s + 2*s. Let z be 4*9\/s + -4. What is the third biggest value in -1, 0, 5, z?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 63.9 - 66.9. What is the closest to 2\/5 in 1\/11, 0.3, q?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w = 2*x + 12, -37 = -3*w + 26*x + 50 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.2663703 to 3 dps.\nAnswer: -0.266","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 19*y**2 + 14*y + 15. What is the tens digit of u(-4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + 2)*(35*k + 24 - 24)*(55 + 8 - 10).\nAnswer: 3710*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-88)\/88 + -1 + 6. Let o = -13 + 20. Solve -5*c + o*c + y = 0 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7)\/((-7)\/6)*(-5)\/(-15).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -2 + 48\/9 + -3. Sort -2\/5, -3, l in decreasing order.\nAnswer: l, -2\/5, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 402162, 1608671, 3619522, 6434715, 10054250, 14478127, 19706346?\n\"Answer: 402171*z**2 - 4*z - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = o - 3. Let f be w(7). Suppose -3*a = f*t - 60, 49 = 4*a + 4*t - 35. Round a to the nearest ten.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -15*v + 2. Let l(d) = -393 + 392 + 2*d + 6*d. Calculate -3*i(b) - 5*l(b).\nAnswer: 5*b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-30)\/40)\/((-543)\/(-60) + 162\/(-18)).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 147503 is divided by 928?\nAnswer: 879","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -3\/26, -0.4, -8 in increasing order.\nAnswer: -8, -0.4, -3\/26, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = x**3 + x + 1. Let s(i) = -3*i**3 + i**2 + 2*i + 3. Suppose -3*p = -3*u + 6, 4*u + 228 - 220 = 2*p. Determine u*d(j) + 2*s(j).\nAnswer: -12*j**3 + 2*j**2 - 2*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*d**3 + 36*d**2 + 60*d - 100.\nAnswer: 4*(d - 1)*(d + 5)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -32134 times -1742?\nAnswer: 55977428","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = -0*i - 2*i + 38*b, 2*i - 2*b = -38 for i.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (531\/708)\/((-9)\/24)*41\/2.\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3596.41ms to seconds.\nAnswer: 3.59641","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 895?\nAnswer: 5, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1162 = -5*f - 1172 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = f**3 - 12*f**2 + 14*f - 17. Let u be h(11). Is u\/(-3)*1125\/(-50) a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 358 - 356. Let m(k) be the first derivative of 0*k + 7 - 3\/2*k**t. Let s(o) = -3*o**2. What is m(s(x))?\nAnswer: 9*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5 - 7. What is the units digit of (1\/1)\/(x\/(-24))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 9872171\/24948 + -17415\/44. Find the common denominator of -101\/18 and k.\nAnswer: 1134","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = -9*f + 5*f + 37, -2*f + 2*d + 26 = 0. Let c = -8 + f. What is the highest common factor of 14 and c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 9153821?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/d**(-1))\/d)\/d**20 assuming d is positive.\nAnswer: d**(-19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 248*u - 2979. Calculate p(12).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/b**(2\/15))\/b*b*b*b**(-9)*b)\/(b\/(b*b**1\/b*b)*b)**(4\/5) assuming b is positive.\nAnswer: b**(-92\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3538 + 9378 - 4341 + 9883*h**2 with respect to h.\nAnswer: 19766*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 5 - 9 + 3*s**2 + 4. Let y(x) be the first derivative of -4*x**3\/3 - 3. Calculate j(y(v)).\nAnswer: 48*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -337803889\/1017 + 332157. Let k = i + -2\/339. Sort 0.3, k, -2\/5.\nAnswer: -2\/5, k, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve x**2 - 1410*x - 25704 = 0.\nAnswer: -18, 1428","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k - 2*k = -3*y - 10, 3*k + 3*y = 30. Suppose -8 = l - k*l. Let d = 21 - l. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -41, -71, -101, -131, -161, -191?\n\"Answer: -30*t - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 53804?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2265242 and 853020?\nAnswer: 203871780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -38530, -154010, -346444, -615826, -962150, -1385410, -1885600?\n\"Answer: w**3 - 38483*w**2 - 38*w - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 + -5 + 4 - 1?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -2*m**3 - 2*m**2 + 5*m - 10. Let b be c(-5). Let q be b\/45 + (-4)\/6. Let r = -22.4 + 22.9. What is the smallest value in -6\/25, r, q?\nAnswer: -6\/25","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*w**5 + 3*w**5 - 2*w**5 + (2*w**4 + 5*w - 5*w)*(-73 + 73 + 33*w).\nAnswer: 64*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*p**4*r**2 - p**4*r + 118*p**3*r**2 + 2*p**2*r**2 - 3176*r**2 wrt p?\nAnswer: 72*p*r**2 - 24*p*r + 708*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 9*o**3*v - 51065*o**2*v**3 - o - 2*v**3 - 3104*v + 90 wrt o?\nAnswer: 27*o**2*v - 102130*o*v**3 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -218 = -2*z - f + 93, 5*f = -2*z + 299. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(147))**2 - (sqrt(30)\/sqrt(90) - sqrt(3)).\nAnswer: 2*sqrt(3)\/3 + 588","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -22041245 + 13004341183\/590. Let m = 329315\/214583 + 28\/3637. Let o = m - f. Calculate the common denominator of 19\/10 and o.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-14 - (-1824)\/72 - 5\/(-3)) + -4. Let c = -492 + 780. What is the highest common divisor of s and c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + ((sqrt(108) - 4*sqrt(108)*-2) + 3 + -2 + (-4 + 1*sqrt(108) - (sqrt(108) + 0 + 1)) + 4)**2.\nAnswer: 8744","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 2 = -a - i, 12 = 3*a + 3*i. Solve -3*b - a*p + 24 = b, 0 = -b + p - 1 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -270*h + 1103 - 3803 for h.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -57 + 129. List the prime factors of g.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000446979867 to seven decimal places.\nAnswer: 0.000447","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -17 + -22?\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-480)\/(-240)*(-5)\/2?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3977441357 to the power of 1\/2, to the nearest integer?\nAnswer: 63067","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-12)\/1323*((-95)\/((-6270)\/2079))\/(-9).\nAnswer: 2\/63","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 44 and 773960?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 27.556 + -267.416. Let w = -0.131 - 235.869. Let v = f - w. What is v rounded to 1 decimal place?\nAnswer: -3.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -280, -291, -302?\nAnswer: -313","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is ((12423\/(-82))\/(-101))\/(86\/32 + -1)?\nAnswer: 8\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -13460 and 5811.\nAnswer: -7649","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -1082*s + 3709. Give j(3).\nAnswer: 463","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -490322 divided by 7?\nAnswer: -70046","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -782*j + 2346*j - 781*j - 786*j. Let x(z) = 148*z + 1. Determine x(w(m)).\nAnswer: -444*m + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -17678.1 - -3.814.\nAnswer: -17674.286","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r + 2*j - 14 = 0, 11*j - 13 = r + 8*j for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -3*p**2. Let v be y(2). Let o(u) = 17*u + 5. Let i(k) = 15 - 25 + 3 - 42*k - 5. Let a(x) = v*o(x) - 5*i(x). Let j(c) = -2*c**2. Give a(j(t)).\nAnswer: -12*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence maqg when four letters picked without replacement from {q: 2, a: 1, m: 2, n: 2, c: 3, g: 4}?\nAnswer: 2\/3003","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 5479 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1917 - 121 = -128*s - 252 for s.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 405 * 156.\nAnswer: 63180","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*o - 819 = 49*o + 29*o for o.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = k + 1. Let n be o(-3). Let s = n + 7. Let l(m) = -m**3 - 2*m**2 + 2*m + 2. Let q be l(-3). Solve 0 = 4*t + 2*y + 6, s*y - y - 1 = q*t for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -16 - -16. Which is the closest to -2\/5? (a) y (b) 2 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2393\/1 + 8\/((-40)\/25).\nAnswer: 2, 3, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/(-3)*(-24)\/(-36)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3687100 (base 9) in base 10?\nAnswer: 2006289","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2171, -2817, -3467, -4121, -4779, -5441, -6107?\nAnswer: -6777","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: What is ((-10)\/(-4))\/(60\/(-6))?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 424 minutes after 10:30 PM?\nAnswer: 5:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 51\/(-6)*(5 + -19) is divided by 20?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2, 7, -4, 0.7?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 6\/(-15) - 152\/(-5). Let i = -18 + r. Let m(p) = p + 3. What is the units digit of m(i)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 123*j - 121*j - 3*s - 1 = 0, -3*s = -3*j for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*k + 14 + 1. What is the nearest to 4 in 0.4, -1\/5, k?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 941\/808529 less than or equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 1 = -2*u + 26, b - 17 = -2*u. Suppose u*j = 5*j + 4. Solve 3*w = -j*s + 15, s - w = 2 - 0 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -n**2 - 6*n - 2. Let d be a(-5). What is the derivative of -d*o + 2*o - 4*o + o + 1 wrt o?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - l - 5 = 0, 11 = 389*q - 387*q - l. Solve 2*o = k + 3, 16 - 12 = q*o for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -26, -42, -68, -110, -174?\nAnswer: -266","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) be the first derivative of -2*d**2 - d + 1. Let p be y(-1). Suppose p*n - 10 = 14. What is the units digit of n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2\/5, 0.1, -0.06, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-8)\/(-16))\/((-1)\/(-2)). Let a(m) = -m**3 + m**2 + 9. Let r be a(0). Suppose 4*c = c - r. Put 0, c, d in increasing order.\nAnswer: c, 0, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 6566 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2036086*y - 2035976*y + 3*y**3 - y**3.\nAnswer: 2*y**3 + 110*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -13.16 - -0.16. Let t = r + 12.85. Let p = t - -0.14988. Round p to 4 dps.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 22\/13 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1322370?\nAnswer: 2, 3, 5, 7, 2099","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 218977 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 0 + 1)*(5*i**2 + 2*i**2 + 22*i**2).\nAnswer: -58*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 1, l: 2, j: 2, p: 4}. What is prob of sequence pjp?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = u**2 + 3*u - 2. Let n(x) be the third derivative of x**4\/12 + 10*x**3\/3 + 28*x**2. Let f be n(-12). Determine d(f).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (19\/(-76))\/(6\/8)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*u + 83 + 109 = 0. Let k be ((-159)\/9)\/(2*(-4)\/u). Suppose k*g - 52*g - 12 = 0. What is the least common multiple of g and 28?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -n + 3. Let o be z(-7). Suppose 0 - o = -r. What are the prime factors of r?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 3\/(-4)*-2*30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = k**3 - 35*k**2 + 62*k + 22. What is the remainder when n(36) is divided by 111?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42 = -19*k + 34. Suppose 2*c + 188 = -0*z + z, 4*z - k*c - 768 = 0. Calculate the highest common divisor of z and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:10 AM and 3:17 PM?\nAnswer: 547","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 754240.\nAnswer: 2, 5, 2357","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2\/13 (b) -2732 (c) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-five quarters of a second in milliseconds?\nAnswer: 8750","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 1.541215 millennia?\nAnswer: 15.41215","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) 6\/11 (b) -1\/7 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -39dac (base 15) to base 8.\nAnswer: -551771","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 887104 and 3652.\nAnswer: 332","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 6, y: 3, o: 2, v: 2, i: 2}. What is prob of picking 1 v and 2 o?\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -k**3 + 11*k**2 - 25*k + 52. Let i be h(9). Let o = -11 - -15. Let q(f) = f**3 + 4*f. Let u(v) = 2*v**3 + 11*v. What is i*q(l) + o*u(l)?\nAnswer: -3*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*k**3 - 5*k**3 - 19*k**3.\nAnswer: -38*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = p**3 + 64*p**2 - 199*p + 147. Let z be g(-67). Let x(a) = a**3 + 6*a**2 + 3*a - 5. Let k be x(-4). Is k equal to z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-72)\/(-33) - (-4)\/(-22). Let i be (4\/(-8))\/(s\/180). What is the common denominator of i*3\/(-33)*-1 and 15\/2?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7.93 * -4\nAnswer: 31.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -3*c - 7. Let x(y) be the third derivative of y**4\/24 + y**3\/2 - 179*y**2. Let f = 8 - 3. Determine f*x(w) + 2*u(w).\nAnswer: -w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1882, 1884, 1886, 1888, 1890?\nAnswer: 1892","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 3166483, 3166496, 3166517, 3166546, 3166583, 3166628?\n\"Answer: 4*v**2 + v + 3166478","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3d0b86 (base 15) to base 12.\nAnswer: b98883","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -b + 2. Let x be j(3). Let t be (x + -301)\/((-8)\/4). Let y = t + -18. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9 divided by 529\nAnswer: 9\/529","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.114872 times -2?\nAnswer: -0.229744","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8788 is divided by 490?\nAnswer: 458","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 97*h + 580. What is the units digit of m(29)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4039, 4154, 4349, 4618, 4955?\nAnswer: 5354","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -10505190 + -2.3?\nAnswer: -10505192.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -z**2 - 55*z - 52. Let p be j(-54). Solve 2*b + 11 = -o, -b - 1 = -p*o + 2 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2182 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x = 3*k + 135, -2668*k - 39 - 44 = -3*x - 2678*k for x.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1900) - (sqrt(1900) + sqrt(1900) + -2 + -4)) + 1 + 1)**2*4.\nAnswer: -640*sqrt(19) + 7856","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*p + 6 - p - 12)*(5*p**2 - 4*p**2 + 0*p**2) to b*p**2 + n*p + a + f*p**3 and give b.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -49*u + 305*u + 58*u.\nAnswer: 314*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 62623\/125302 - -14\/62651. Solve -j*n - 6 + 1\/2*n**2 = 0.\nAnswer: -3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 4*g = 48. Suppose g = -6*s + 2*s, 2*r + 4*s - 20 = 0. List the prime factors of r.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fgcfccgcckcckkc. Give prob of sequence gf.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 22594 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45*d + 3*i = 47*d - 5911, 5*d + 3*i = 14725. Is d a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.05 + -0.15. Let h be 0\/(-1 + 1 + 3). Suppose 70*g - 67*g + 3 = h. Which is the smallest value? (a) 0 (b) g (c) i (d) 4\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 224592.\nAnswer: 2, 3, 4679","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(396)\/(sqrt(12)*1))\/(2*sqrt(11)*4).\nAnswer: sqrt(3)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Total of -23.578023326 and 8.\nAnswer: -15.578023326","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1417 and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*u - 5*u = 15, 3*u + 25235 = 4*k. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 8 + 2*s**3 - 1 - 3 + 3*s - 1. Let w(q) = -q**2. Let l(t) = -4*t**3 + 3*t**2 - 5*t - 5. Let i(j) = -l(j) - 3*w(j). Give -3*i(d) + 5*o(d).\nAnswer: -2*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 73.70005 millennia to years.\nAnswer: 73700.05","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.6 + -24.4. Let w = -24.84 - l. Let z = w - 0.16024. Round z to 4 dps.\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0 (b) -5 (c) 2 (d) -341\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 510 = 12*o + 18*o for o.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -7*r**2 - 16*r + 20. Let l = 57 + -66. Let v(t) = 3*t**2 + 8*t - 10. Let m(u) = l*v(u) - 4*s(u). List the prime factors of m(12).\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 84370640 a multiple of 304?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -0.3*180\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -t - 6*u + 3*u + 135, 3*u = -5*t + 663. Calculate the highest common factor of t and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10.07 times -1?\nAnswer: -10.07","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:06 AM and 5:03 PM?\nAnswer: 657","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 2*j**2 + j - 1. Calculate the remainder when 235 is divided by m(-3).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(1\/8)\/(a\/(a*a**13\/a)))\/((a**(-2\/31)*a)\/(a*a**(-12)*a)) assuming a is positive.\nAnswer: a**(295\/248)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.21*-4.\nAnswer: -0.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = p**2 - 23*p + 27. Let f be k(22). Suppose -m - m + 5*x + 34 = 0, -f*m = 5*x - 15. Suppose i - m = -8. Which is smaller: i or -2\/79?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3.1 + -3.18. Let j = r + 0.48. What is the nearest to -2\/7 in 5, -3, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 58\/(-126) + 1\/(35\/20)?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (48\/(-20))\/((-2)\/10). Let g(l) = l**3 - 11*l**2 - 11*l + 4. What is the units digit of g(u)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -87 + 89. Factor 25*n - 2*n**3 - 66 + 7*n + 26 - 2*n**r + 0*n**2.\nAnswer: -2*(n - 2)**2*(n + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.06 times -0.05?\nAnswer: -0.003","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 6 (b) -1\/18 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 116080 to the power of 1\/3, to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*h**2 + 6*h**2 - 3*h**2 + 5*h**2 + 2*h**2.\nAnswer: -4*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 2 - (-5 - (-5 + (-2154)\/1104)) and 53\/18.\nAnswer: 1656","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w - 171 = -t - 150, 2*w + t = -15 for w.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1\/4 or -11374443?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (4\/22 - (-1575)\/(-495)) + 258\/6. Solve 4*i - 5*a = p, i + 8 = -a + 9 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 17580583.997 - 17594207. Let c = m - -13617. Let r = 6 + c. Round r to 2 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1314*g = 1871*g - 19495 for g.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((38\/2128*28)\/(11\/2))\/2.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is x in 16*x**5\/3 + 424*x**4\/3 + 3473*x**3\/3 + 9722*x**2\/3 + 1412*x + 168 = 0?\nAnswer: -14, -6, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-18)\/42)\/((-30)\/(-42))*110\/(-176)?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 587.7391 weeks to nanoseconds.\nAnswer: 355464607680000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -34 - -51. Solve -2*u - 3*s + q = 0, 4*u + 1 - 2 = 5*s for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5cc8 (base 14) in base 6?\nAnswer: -203120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*o**3 + 18*o**3 - 5*o**3 + 13*o**3 - o**3.\nAnswer: 37*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v + 0*s = s + 33, 5*s = -15. Let m(x) be the third derivative of -3\/8*x**4 + 3\/20*x**5 - 2*x**2 + 1\/2*x**3 + 0*x + 0 - 1\/40*x**v. Factor m(g).\nAnswer: -3*(g - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - 8 = -5*h + q, 0 = -2*h + 4*q + 2. Determine k so that 3 - 3 + 5*k + k**4 - k**2 + k**5 - h*k**3 - 3*k = 0.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.1353233404 to three dps.\nAnswer: -0.135","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -131*j + 94 = -806 - 148 for j.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -19*c + 132. What is r(12)?\nAnswer: -96","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:54 PM and 1:33 AM?\nAnswer: 639","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 4*s**3 - s. Let l(z) = 35*z**3 - z**2 - 36*z - 5. Let a(b) = 41*b**3 - b**2 - 43*b - 6. Let c(t) = -5*a(t) + 6*l(t). What is -3*c(p) + 4*r(p)?\nAnswer: p**3 + 3*p**2 - p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = -n, 5*i + 4*n + 13 = -5. Suppose 5*r = 2*a + 34, r = -r + 3*a + 18. Sort 3, i, r in descending order.\nAnswer: r, 3, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 644 and 336.\nAnswer: 7728","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 661778 is divided by 5752?\nAnswer: 298","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 79 = 4*c, 2*c - 14 - 6 = 4*k. What is the highest common divisor of 112 and c?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g**2\/7 - 494*g\/7 + 2006835\/7 = 0 for g.\nAnswer: -1685, 1191","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1873 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) be the third derivative of f**4\/2 + 2734*f**2 + 2*f. Let t(i) = 11*i. What is 4*s(v) - 3*t(v)?\nAnswer: 15*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 52*s**2 + 40*s + 105. Let l(z) = 87*z**2 + 67*z + 173. Calculate 18*f(y) - 11*l(y).\nAnswer: -21*y**2 - 17*y - 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 3, m: 1, z: 1, g: 2, l: 1, s: 4}. What is prob of sequence xms?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 53*q - 1383 + 641 for q.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 32 - -169. Let x = -142 + a. Suppose -2*q - 2*l + 22 = 0, 4*q - 8*l - x = -7*l. What is the remainder when 27 is divided by q?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 712*h**3 - h**2 + h + 1. List the prime factors of j(1).\nAnswer: 23, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 5*s**2 + 2*s - 5. Let w(d) = -14*d**2 - 5*d + 14. Let h(f) = -17*t(f) - 6*w(f). Suppose 3*z - 15 + 3 = 0. Let x = z + -7. Determine h(x).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 3*m**2 + 2*m - 1. Let b(z) = -2 - 842*z**2 + 2*z + 838*z**2 - 5*z + 4. Let h be (-2 - 0)*(-9)\/(-6). Calculate h*g(f) - 2*b(f).\nAnswer: -f**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*d = -8*d + 1140. What are the prime factors of d?\nAnswer: 2, 3, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:33 AM and 3:30 PM?\nAnswer: 237","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = x**3 + 5*x**2 + 3. Let b be a(-5). Let w be (6 - 700)*1\/(-2). Suppose -4*l = -b*s + w + 38, 126 = s + l. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -7 + 4 - 1 + 6 - 8*q. Give c(3).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve w = 3*k - 11, 0 = -2*k + 3*w + 31 - 12 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*r**3\/8 - 4036239*r**2\/8 - 8072487*r\/8 - 4036245\/8 = 0. What is r?\nAnswer: -1, 1345415","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*z + 12 + 20. Let q(g) be the second derivative of g**4\/12 - 3*g**3\/2 + 10*g**2 + 213*g. Calculate the remainder when 22 is divided by q(z).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -653 (base 14) to base 7.\nAnswer: -3433","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rkrikirkr. Give prob of picking 1 r and 1 i.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*x = 3*x + 12 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*q - 33*q = -216. Suppose 5*d - 10 = 3*z, -3*d - q = -23. Put -1, -3, z, -2 in decreasing order.\nAnswer: z, -1, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*n - 4*d - 4, -n - 7 = -d + 4*d. Solve 4*k = 8*k - n for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 6*i**2 - 2. Let t(g) = -5*g**2 + 2. Suppose 0 = -26*b + 22*b - 12. Give b*r(m) - 4*t(m).\nAnswer: 2*m**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -491 + 758. Does 37 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -2*w**2 - 14*w - 15. Let m be a(-12). What is m rounded to the nearest ten?\nAnswer: -140","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = -2*v + 72. Suppose 44*l - 945 + 872 = 1379. Suppose 0 = -v*w + l*w - 13535. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 4\/11, 0.5, -6.09?\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -i + 6. Give g(-2).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 15.6 and -5?\nAnswer: -78","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 463 minutes after 12:05 PM?\nAnswer: 7:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -59*f**2 + 58*f**2 - 14*f + 9*f + 5*f.\nAnswer: -f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 178960*-1.1\nAnswer: -196856","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -7*l - 7*l - 7*l in the form d + w*l and give w.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 4*(8784\/32)\/61?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 7700496095.9998766 - 7700495295. Let w = s + -801. Round w to six decimal places.\nAnswer: -0.000123","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = w**2 + 20*w - 20. Let l(h) be the third derivative of h**5\/60 - 4*h**2. Let m(z) = -6*l(z) + q(z). Factor m(b).\nAnswer: -5*(b - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17275.\nAnswer: 5, 691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) be the first derivative of 22 - 7*s**2 + 1\/4*s**4 - 16\/3*s**3 - 42*s. Calculate the lowest common multiple of m(17) and 39.\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 3*v = -1, 0 = 3*y - v - 26. Factor -33*h**2 + 0*h**4 - 588*h + h**4 - y*h**3 - 12 + 553*h.\nAnswer: (h - 12)*(h + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*v**3 + 65012*v - 65014*v - 2*v**3.\nAnswer: 11*v**3 - 2*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1485?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*q + 5*d + 5, 3*q - 2*d = -q - 28. Let l = -12 - q. Does 14 divide (5 + -3 + -6)*l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -31? (a) 0 (b) 5 (c) 3 (d) 0.2 (e) 18\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b - 4*s + 2 = 0, -5*b - 2*s + 1 + 7 = 0. What is the derivative of -29 - 5*n**b - 2 - n**2 - 6 wrt n?\nAnswer: -12*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -b + 2. Let h be -2 - 4*(1 + -2). Let a(f) = -3*f + 5. Let d(u) = h*a(u) - 5*k(u). Let n(z) = -5 + 5 - 2*z + 0*z. Calculate n(d(v)).\nAnswer: 2*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -2 - -747?\nAnswer: 745","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1727142211 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -2 divided by -28\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 34475952?\nAnswer: 2, 3, 7, 102607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ctc when three letters picked without replacement from ccctccctc.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4074, -4105, -4104, -4065, -3982, -3849?\nAnswer: -3660","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -532 - -527. Let s be (-1*4*n\/(-5))\/2. Suppose 2*m = 23 - 87. Which is smaller: s or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 55*x**3 + 3*x**2 + 1482*x - 1056559 wrt x?\nAnswer: 165*x**2 + 6*x + 1482","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1074711 and 957.\nAnswer: 957","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Product of 3 and -276.\nAnswer: -828","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -319*n - 323*n - 3*u + 1 = -647*n, -5*u = 4*n - 14 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 504058 to the power of 1\/2, to the nearest integer?\nAnswer: 710","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.03 take away 50.1982146?\nAnswer: -50.1682146","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 5712 divided by -21\nAnswer: -272","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 40 divide 19120?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (-23 - (-24 - 1)) + 1 + 18?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5828, -46689, -157642, -373739, -730032, -1261573, -2003414?\nAnswer: -2990607","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10491153 is divided by 1044?\nAnswer: 1041","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -6 (b) -0.3 (c) -1 (d) 2\/7 (e) -5.6 (f) -7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 187921 to the nearest integer?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 9.645 or 0.035932?\nAnswer: 0.035932","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-15113)\/(-301))\/17 - 2\/(-43)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4240 (base 5) to base 15.\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = s**3 + 19*s**2 + 4*s - 375. Calculate j(-17).\nAnswer: 135","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 11048665?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 3*n**2 + 72*n - 3451. Determine a(24).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 372763 to the power of 1\/5, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -120332*z - 5*x = -120335*z - 20, 79*z - x = -1180 for z.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(-4*2*(-5*1*sqrt(11) + (sqrt(275) - (sqrt(275) + 0)) + sqrt(176) + -2 + 5 + 2))**2.\nAnswer: -640*sqrt(11) + 2304","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1830112 to the power of 1\/2, to the nearest integer?\nAnswer: 1353","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (0\/(-10 + 5))\/(1 + 0). Let a(k) = -9*k + 370. What are the prime factors of a(z)?\nAnswer: 2, 5, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 0, -0.5, -65.6, 2\/3, 3?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 2*f**3 - 155*f**2 - 79*f + 76. Let v be h(78). Which is the nearest to -2\/7? (a) 0.4 (b) 0.21 (c) v (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 66*p. What is x(3)?\nAnswer: 198","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*l - 34*l = -320. Let v be 3*(-9)\/(1 + -4). Let s = 5 - v. Which is the second smallest value? (a) 3 (b) l (c) s (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 1, i: 6, t: 8}. Give prob of picking 2 i.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -41, -70, -99, -128, -157?\n\"Answer: -29*r - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 561 and 33.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4819*b**2 + 4387*b**2 - 3506*b**2.\nAnswer: -3938*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 1142 + -1104 + -58 + -1\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 3*p**2 + p - 1. Let y be j(1). List the prime factors of (-606)\/(-8) - y\/4.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3446 - -3450. Solve 3*n = x + x + 19, 4*x + b*n + 8 = 0 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) be the third derivative of i**9\/3780 + 5*i**8\/1008 + i**7\/30 + i**6\/20 + 107*i**5\/60 - 75*i**2. Let f(d) be the third derivative of a(d). Factor f(j).\nAnswer: 4*(j + 3)**2*(4*j + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + c - 2 = 0. Suppose 5 = 2*g - c. What is the biggest value in g, -0.2, 0.3?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -19 + 15. Let t be (-2)\/h*(6 + -2). Suppose -4*u - 4*x = -68, 0 = u + t*u + x - 53. Is u a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -229 by -3.\nAnswer: 229\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1 - 317071071?\nAnswer: -317071070","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -96, -266, -450, -654, -884, -1146?\n\"Answer: -q**3 - q**2 - 160*q + 66","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -3*s**3 - 25*s**2 - 8*s + 22. Let y be f(-8). Solve y*w = 15*w - 21 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-72908)\/66*(-6)\/4 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 1 m when two letters picked without replacement from vmlrdpr.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (l + l - 3*l)*(4*l + 2*l - 5*l) + 4*l - 4*l + 3*l**2 + 7*l**2 - 4*l**2 + l**2 + 2*l**2 - l**2 - 3*l**2 + (-l + 3 - 3)*(0*l - 3*l + 4*l).\nAnswer: 3*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 827*x - 229. What is the thousands digit of r(6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 485 minutes before 5:14 PM?\nAnswer: 9:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, -347, 0.1.\nAnswer: -347, 0.1, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 13*u - 142. Let p be m(13). Solve -2*x - 4*l = -12, 0*x + 3*l - p = 3*x for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-70920)\/2320 - -13 - -13) + (-2)\/116*-4?\nAnswer: -9\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28120 a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 609110 and 6945.\nAnswer: 846053790","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000856196 rounded to six dps?\nAnswer: -0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 593 is divided by 290?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 13429 + -9146. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2 by -17693.\nAnswer: 2\/17693","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -11\/476860 and 7\/238430.\nAnswer: 476860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = n + 3. Let j be l(-2). Suppose 3*y + 2 - 8 = 0. Let g(p) = -p**3 + 2*p**2 + 2*p - 1. Let a be g(y). Solve 0 = 2*x + a - j for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (2*-1)\/(71\/(-1562)). What is the greatest common divisor of 2002 and z?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*s - 1183*s**2 - 378 - 431 + 809.\nAnswer: -1183*s**2 + 10*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 47805, 47812, 47825, 47844, 47869, 47900?\nAnswer: 47937","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -c3 - 5?\nAnswer: -c8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 26 - 8. Find the common denominator of 51\/4 and (-14)\/5 + u\/(-45).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 66 a factor of 1056?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*i + 2*i - 20. Suppose -i*q = -0*q. Suppose 5*d = -q*d + 45. What is the units digit of d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + 28 = -4*q + 5*q, 120 = 5*q - 5*o. Calculate the remainder when q is divided by 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 0.342623 decades?\nAnswer: 41.11476","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, -10, 12.5 in descending order.\nAnswer: 12.5, -0.1, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -16 + -39. Let y be 11\/(u\/(-2)) + 3\/(-20). Let s = 0.349 - 0.049. Which is the nearest to -1? (a) y (b) s (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = x + x - h, -5*x + 17 = -2*h. Suppose -b + 2*s = s + 4, s = x*b. Solve -9 - b = -2*f for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4 - 4 + y + (3*y - 4*y - 2*y)*(1 - 3 + 1) + (y - 3*y + 4*y)*(-158 + 284 - 55).\nAnswer: 146*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -695*z + 4087. What is u(6)?\nAnswer: -83","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -3316*r + 1365*r + 1949*r. Let c(z) be the third derivative of 5*z**4\/24 + 11*z**3\/3 + z**2. Give y(c(x)).\nAnswer: -10*x - 44","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -7*r + 130. Give n(19).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 141 divided by -1133\nAnswer: -141\/1133","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -4, 13, -3, -24 in ascending order.\nAnswer: -24, -4, -3, -1, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 15*i + 17. Let o be u(-1). Is 12*(2 - -217) - (-1 - o) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5475 + (19 - 11 - 15)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 568 minutes after 7:14 PM?\nAnswer: 4:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 629*b + 631*b + 642*b - 3181*b + 621*b + 631*b.\nAnswer: -27*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve g + 4*z - 21 = 0, 3*z + 2*z = -g + 26 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 60, -6, 0.02, 1\/6, 2, 0.01?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -u**2 - 11*u - 19. What is the smallest common multiple of m(-8) and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -52 by 32.\nAnswer: -13\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 3\/25 of a meter?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 65252770 to the power of 1\/2, to the nearest integer?\nAnswer: 8078","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 43 = 4*h, 2*d - 13 = -3*h - 28. Which is the third smallest value? (a) d (b) -3\/4 (c) -3981\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 10*j + 541 - 541 + 10*j**2. Let q = 32 + -18. Let c(u) = 2*u**2 + 2*u. What is q*c(v) - 3*l(v)?\nAnswer: -2*v**2 - 2*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.2 and 92.504?\nAnswer: 92.304","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor z**3 - 505*z**2 + 2007*z - 1503.\nAnswer: (z - 501)*(z - 3)*(z - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 86945.62nm?\nAnswer: 0.00000008694562","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 4161?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1644803?\nAnswer: 251, 6553","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 3151*t**3 - 5895?\nAnswer: 9453*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + 2 = 3*i - 0*i, 3*i = 5*g + 5. Let t be g - 1\/(2\/(-4)). Let q = -1 - 0. What is the nearest to -0.1 in -5, t, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of ((-42)\/147)\/(2\/(-266))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - 49 + 135 = 2*j, 4*h + 16 = 0. Let d be 42\/(-49)*(-14)\/3. Let o(z) = 14*z - 40. Calculate the remainder when j is divided by o(d).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t = 5*d - 29, 6*d + 97 = 4*t + d. Is 3 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is w in -3*w**3\/8 - 2121*w**2\/8 + 1605*w\/2 + 5325\/2 = 0?\nAnswer: -710, -2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -2*k - 6. Let m be p(-4). Suppose 3*s - 3*i = 15, m*s + 2*i - 2 = s. Suppose 2*a + 10 = -3*a. Sort 3, a, s in descending order.\nAnswer: s, 3, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 3 - (-2)\/(-4)*-6. Suppose q*i - 300 = 2*i. Does 15 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*j - 2*j + 3*j)*(-5*j**2 + 5*j**2 - j**2) + (j**3 + 0*j**3 + j**3)*(-4 + 5 - 4).\nAnswer: -9*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = g + 4*m - 12, -5*g + 28 = 2*m. Calculate the lowest common multiple of g and 5.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -159 - -163. Suppose 5*c - 1 = 4*z + 30, z = 3*c - 13. Solve -3*w = i*n + 1, -5*n = c*w - 2*w + 15 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1068 and 2598632?\nAnswer: 693834744","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 35b6 + -47?\nAnswer: 356c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -314391 - 483306 + 26646 = -32575*u - 21826 for u.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -25 + -134863?\nAnswer: -134888","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 103? (a) -175 (b) 0.2 (c) 1\/4 (d) -326\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in five quarters of a meter?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 121367506?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -9, -5, 4\/7, 5, 4\/3 in increasing order.\nAnswer: -9, -5, 4\/7, 4\/3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -581508 divided by 174.\nAnswer: -3342","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/5 of a litre?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -135 - -135.2. Let j = -35.7 + -7.3. Let p = j + 43.1. What is the third smallest value in p, -2\/5, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*m - 4*i = -11, -23*i - 5 = -5*m - 21*i for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1841 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: Calculate 6 + 2 + 3 - (-7 + 6 + 5).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -34 + -153060?\nAnswer: -153124","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*h**2 - 51896*h.\nAnswer: 4*h*(h - 12974)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 326256 (base 8) in base 16?\nAnswer: 1acae","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 2*z**2. Let u(f) = 154 + 146 - 88*f**2 - 451 + 151. Give u(q(v)).\nAnswer: -352*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -97\/55967310 and -47\/15092.\nAnswer: 1231280820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 35222835 a multiple of 530?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -275 - 92. Let i = 366 + l. What is the closest to i in 1\/3, -3\/4, 1, 5?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1618830 and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -16*y**3 + 3*y**2. Let j(z) = 513*z**3 - 95*z**2. Calculate -6*j(p) - 190*r(p).\nAnswer: -38*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 646 and 34?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.3 + 0.1. Let i be (2\/(-6))\/((-5)\/15). Let o be i + (0\/(-2))\/1. What is the nearest to o in z, 3, -0.5?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -24*d - 6*d**2 + 24*d + 4*d**2. Let q(x) = 11*x**2 + 1. Determine l(q(m)).\nAnswer: -242*m**4 - 44*m**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 28307, 28318, 28329, 28340?\nAnswer: 28351","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0 + 6. Let i = p + -8. Is (-77)\/(1 + i + 0) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve d = -3*v + 23, 4*v = -d - 45 + 73 for d.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -193486 rounded to the nearest 10000?\nAnswer: -190000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -2401*i**2 + 75231561 - 75231561. Let h(q) = q. Give h(o(b)).\nAnswer: -2401*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 5986367323 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (-4 + -41 - 1) + -3 + (-4029 - -4044)\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -5763915*g**3*h**2 - 1127*g**2*h + 2*g**2 - 52*g*h**2 + 20*g wrt g?\nAnswer: -34583490*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from txjbxib. Give prob of sequence bb.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 37\/(-7) - ((-18)\/14 + 1)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 583840, 1167685, 1751530, 2335375?\nAnswer: 2919220","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 40 = -3*a. List the prime factors of ((-57)\/(-12))\/((-2)\/a).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r + m = -0*m - 9, 0 = 5*r + m - 15 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -u + 5 - 2, -4*u + 6642 = k. Suppose -27*h + 30*h - k = 0. Let q = 3561 - h. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sigm when four letters picked without replacement from {i: 1, s: 2, g: 1, z: 2, m: 1}?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 1464?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -1.446959*-0.15\nAnswer: 0.21704385","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 27179 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/(-6))\/(23\/621*45)?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*g + 2*n - 3*n + 7, 2*g + 9 = -n. Let l be (-42)\/(-7) + (1 - 3). Sort g, l, 1, 2 in increasing order.\nAnswer: g, 1, 2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 100 is divided by 24?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3 + -7. Let l(w) = -w - 4. Let u be l(c). Suppose u*x + 1 = x. Are x and 4\/7 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 72 = 5*h - 3*a, 35 + 21 = 4*h - 4*a. Let m = -10 + h. Suppose -m*z = -3*z - 12. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 16*i + 57334 - 381430. What is the tens digit of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1703259 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: Calculate the remainder when 195 is divided by 18.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 5, e: 2, x: 2}. Give prob of sequence xvev.\nAnswer: 5\/189","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*m**3\/7 + 150158*m**2 + 27327742*m\/7 + 177628126\/7.\nAnswer: 2*(m + 13)**2*(m + 525527)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3521?\nAnswer: 7, 503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.4 and 0.0889?\nAnswer: -0.03556","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1.52 (b) 0.05 (c) -7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of ((-507)\/273)\/(5\/4*1) and 167\/210.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c**2\/3 - 15192380*c\/3 = 0. What is c?\nAnswer: 0, 7596190","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -d**3 + 6*d**2 - 2*d - 4. Let m be t(5). Let b = 11337 - 11322. Solve 2*h + 6*a - 3*a + m = 0, -5*a - b = 5*h for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1.8 + -0.2. Let m = -0.2231 + -4.7769. What is the third biggest value in a, 0.2, m, 3?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert c70 (base 14) to base 4.\nAnswer: 212102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ev when two letters picked without replacement from {z: 1, e: 1, d: 6, v: 1}.\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-77028)\/(-168)*(-2)\/(-7). Which is the nearest to 0? (a) -3 (b) y (c) -1\/4 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 60 - 63. Let v(n) = 2*n**2 + 7*n + 11. Let k be v(r). Calculate the highest common divisor of 4 and k.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1\/12, 20, 3?\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -29 (b) 1 (c) -4\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 44*i**3 - 14*i**2 - 14*i + 16. Let z be l(11). Let h = z - 174827\/3. Let r = 1524 + h. What is the common denominator of 25\/3 and r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:19 AM and 4:32 PM?\nAnswer: 313","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 30046.\nAnswer: 2, 83, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 2*v**2. Let d(z) be the first derivative of -2918*z**3\/3 + 2018. Give w(d(h)).\nAnswer: 17029448*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - r = -a + 12, 3*a - 14 = 2*r. Let f be -1*(6 + (1 - a)). Let n be (10\/(-25))\/(1\/f). Solve 9 = n*l + l for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4728 + 177*g**3 - 4728)*(-2*g**2 - 4*g + 4*g + (2*g + g - g)*(-4*g + 0*g + 2*g) + 0*g**2 + 0*g**2 + 3*g**2).\nAnswer: -531*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = f**3 - 5*f**2 - 2*f - 9. What is the hundreds digit of j(9)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2*(-535)\/(-20)*2.\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) be the second derivative of -1\/12*t**4 + 0*t**2 - 2*t + 27 + 0*t**3. Let i(m) = 104*m. Give i(q(o)).\nAnswer: -104*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -8*p + 3. Let h be g(-3). Suppose -2*s = h + 29. Let y = 3 - s. What is the remainder when y is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rq when two letters picked without replacement from {r: 14, q: 5}?\nAnswer: 35\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -2*s. Let b(d) = 7*d**2 - 23*d - 543. What is x(b(i))?\nAnswer: -14*i**2 + 46*i + 1086","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 - 15) + (-5 - (3 - (3 - -7))).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -428*k + 229*k + 7 - 183*k - 134*k - 501*k - 8.\nAnswer: -1017*k - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 20*d**2 + 3224*d + 590. Determine v(-161).\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*r - 2*r**3 + 3*r)*(4*r - r - 2*r) + 2*r**4 + 0*r**4 - r**4 - 2*r**4 - 4*r**3 + 4*r**3 to n*r**4 + q*r + f*r**2 + h*r**3 + t and give n.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2\/3 or 15430?\nAnswer: 15430","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1287*93\/(-2821) - 44.\nAnswer: -11\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2\/(-6)*(-1236)\/4. Let u = -77 + l. What is the third derivative of -23*d**2 - 2*d**5 + 46*d**2 - 7*d**5 - u*d**2 wrt d?\nAnswer: -540*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -g**3 + 5*g**2 + 6*g + 5. Suppose 20 = -0*p + 5*p. Let w be (-1 - -4 - p) + 7. Determine u(w).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -13 (b) 1 (c) -2\/1203 (d) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -3 + 0*y - y - y - 1. Let r be n(-4). Is (-2)\/2 + 684 - r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 155*64.\nAnswer: 9920","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -6\/43 or -111?\nAnswer: -111","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 24 - -4230?\nAnswer: 4254","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express 24*y + 25*y - 81*y - 879 + 31*y as i*y + h and give i.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 4119 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*m = -5*d + 4*d - 8, -4*m = 4*d - 4 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s = 4*k + 24, 10*s - 7*s - 14 = k. Solve 0 = 4*q - 2*r - s, 2*q - 5*r = -4 - 2 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -0.2 (b) -0.4 (c) -1 (d) 6 (e) 7\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3019784 + -3.\nAnswer: -3019787","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-43*l - 2 + 26*l + 109*l)*(-l**3 - 2*l**3 + 5*l**3).\nAnswer: 184*l**4 - 4*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 5 - 8)*(4*q + 2*q**2 - 4*q)*(26 - 5 + 25)*(4*q**3 - q**3 - 5*q**3).\nAnswer: 2392*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -l**2 + 8*l - 8. Let o(u) = -u**3 - u**2 + 6. Let j be o(0). What is the remainder when 6 is divided by x(j)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 281 = 9*g - 7. Let t = -29 + g. What is the units digit of (4*14)\/(t + -2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-three sixths of a century in months?\nAnswer: 4600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 251*a + 6*a**3 - 66*a - 117*a - 68*a.\nAnswer: 6*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2 - 4782*g**3 + 4725*g - 9581*g - 4813*g**3 wrt g?\nAnswer: -57570*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1*((-115)\/(-6))\/23)\/((-3)\/18).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11410.\nAnswer: 2, 5, 7, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 48854 - 48902.0054. Let r = 78 + -126. Let i = r - p. Round i to three dps.\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d - 5 = 2*n - 91, n - 16 = -d. Calculate the greatest common divisor of d and 144.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3827?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1 - -1. Let a(k) = -44*k. Let m be a(0). Solve -5*v - 15 = m, y*v - 5*v - 23 = 2*n for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 3*b**2 - 4*b - 1. Let m be k(2). Suppose 4*d + 40 = 2*a, -m*a - d = 16 - 69. Let o = 7 + -4. Solve -5*j - a = -o for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 249 = -239. Solve 2*y = -5*t - 20, y + 12 = -3*t + s*y for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -25.74 and 926.\nAnswer: -23835.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -70*u. Let k(j) = j**2 + 85 - 85. Give k(p(t)).\nAnswer: 4900*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 2*g**3 - 377*g**2 + 3372*g + 5130. What is b(179)?\nAnswer: -61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-51)\/2737)\/((8695\/259)\/47)?\nAnswer: -3\/115","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -97\/21 + 5. Which is the third smallest value? (a) -3 (b) o (c) -3\/7 (d) -0.5 (e) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2535 and 39.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.18 - -0.02. What is the closest to 1 in c, -5, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 147 - 145 - 2 - 30*d**3.\nAnswer: -30*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 1919.3478 to zero decimal places.\nAnswer: 1919","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 0.9, 1, 0.23?\nAnswer: 0.23","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -6847 (base 9) in base 5?\nAnswer: -130230","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*b + 38 - 338. What is the highest common factor of b and 24?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y\/(y*y**17))\/y)**(-35)\/(y**18)**19)**39 assuming y is positive.\nAnswer: y**11232","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -11 + 10. Let k = 8 + o. Suppose 2*j - k = -1. Solve w = -r - 4, -2*w + j*r + 3 + 4 = 0 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-159632)\/352)\/((-1)\/34) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 46.21921l to millilitres.\nAnswer: 46219.21","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 41 = -3*d - 5*q, 0 = 3*d + 2*q - 25 + 36 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 1435, -1393, -6099, -12677, -21121, -31425, -43583, -57589?\n\"Answer: y**3 - 945*y**2 + 2379","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 107*d*o**2 - 2*d*o - 186*d with respect to o.\nAnswer: 214*d*o - 2*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (22*-70)\/10*268\/(-938)?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2 - -1. Let u = 2.5 + -2. Let r = 0.5 + u. Which is the nearest to r? (a) 0 (b) s (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 3 (b) 3\/4 (c) -9\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) be the second derivative of -1\/12*p**4 - 1\/15*p**5 + 0*p**2 + 0 + 0*p**3 + 1\/720*p**6 + 2*p. Let n(m) be the third derivative of t(m). What is n(4)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5845 < 5846?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -17 + -11 + 5 + 9?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - 25 = -y, -9 = 2*y + 3*v - 39. Suppose -2095 = -2*n - x, y*n - 26*n = 3*x - 5235. What is the hundreds digit of n?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 8, 0.01, -5082.\nAnswer: -5082, -3, 0.01, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u - 4*m = 0, -5*u = -3*u - 4*m. Solve u = 5*f - 0*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 125097 and 1035.\nAnswer: 1876455","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-4)\/10 - 106\/10. Let i = -7 - w. Solve 0 = 3*v + b - 16, 0 = -i*v + 4*b - 0*b for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -24*q**2 + 2*q + 28.\nAnswer: -48","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-6)\/1*(-56)\/84. Suppose 0*m - i*m - 3*p = -279, 0 = -m - 3*p + 81. What is the remainder when 1121 is divided by m?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*p - p - 5. Let o = 0.03084 + 0.46916. What is the second smallest value in p, -3, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 10 + -6. Let x(k) = k**3 + k + 2 - f*k**2 + 1 - 1. Calculate x(3).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (225\/(-36))\/((-28)\/336).\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*o**3 + 41 - 5*o**4 - o - 57 - 36 + 46 in the form y*o**4 + f + c*o + a*o**2 + z*o**3 and give z.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -115\/14 or -8?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/(w*w**(-3\/11)))**(12\/11)\/(w**28\/(w*w*w\/(w\/(w**(-10\/3)\/w)*w)*w)) assuming w is positive.\nAnswer: w**(-10903\/363)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 674 is divided by 26.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 141626 plus -0.21?\nAnswer: 141625.79","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3 + 3. Suppose r = 5*t - 14. Suppose -21 = -t*s - 1. Is 3 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.03866834 to three decimal places.\nAnswer: 2.039","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1866 + 42788 = 79*w. List the prime factors of w.\nAnswer: 2, 7, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/11 + (-26 - 36570\/(-1430)).\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-648)\/45*65\/(-286) - 6\/22. Solve f*x - 8 = -i - 4, 0 = -5*i - x - 22 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -201871 and -0.02.\nAnswer: -201871.02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 11 and 4680478.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -2*k**2. Let y(p) = 13*p**2 - 6*p - 2*p + 5*p**2 + p**2 + 3. Let u be y(5). Let b(j) = -438 - 5*j + u. Calculate b(g(f)).\nAnswer: 10*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 times -61732?\nAnswer: 61732","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*y + 4*c - 42 + 98, -170 = 5*y - 5*c. Let r = y + 34. Suppose r*w - 990 = -9*w. Calculate the greatest common factor of 10 and w.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 180 - 0?\nAnswer: 180","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 2*k**2 - 10*k - 140. List the prime factors of c(19).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*a + 1908 = -113*a - 71*a for a.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/4? (a) 6 (b) -4 (c) -4\/65\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4 + -3. Let k(d) = 16*d + 26. Let s(r) = -8*r - 14. Let i(f) = -2*k(f) - 5*s(f). Let l be i(-2). Which is smaller: z or l?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6 - (13 - -158)) + -309 + 351.\nAnswer: -123","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 110 + 884956?\nAnswer: 885066","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -3, 0.04, 30, -1\/6, 12?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 32391*v**2 - 11912*v**2 + 23697*v**2.\nAnswer: 44176*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.6 - 2.4. Let m = i - -4. Which is the closest to -1? (a) -1 (b) m (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1.1 + -1. Put j, -0.3, 1\/2 in decreasing order.\nAnswer: 1\/2, j, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*b**3 - 4 + 4 + (2 - 1 + 0)*(2 - 2 + b**3))*(4*b - 5*b - 5*b)*(-16 - 21 + 51)*(-b - 1 + 1).\nAnswer: -252*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 4 + -1 - 88\/(-11). Suppose 0 = 3*k - 4 - g. Let r be 1*(4 - 20\/k). Solve 3*i + i = r for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (18 + -20)*(-23)\/2. Differentiate 76*v - 50 + b + 10 with respect to v.\nAnswer: 76","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 3, k: 1, t: 1, o: 9}. What is prob of sequence ktoa?\nAnswer: 9\/8008","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -8.278 + 8.778. Sort -21, 8, c in descending order.\nAnswer: 8, c, -21","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*v - 7 - 112. Calculate the greatest common divisor of 102 and v.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 4*a - 47. Let q(s) = -2*s**3 + 10*s**2 + 4*s - 5. Let d be q(5). Let m be z(d). Solve 14*h - 2 = m*h for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*w + 340 = 320 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 1b6 (base 13) to base 15\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y\/(y*y\/(y**(8\/11)\/y*y))*y*y*y*(y**(2\/27)*y*y*y)\/y assuming y is positive.\nAnswer: y**(1426\/297)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 6, b: 8, r: 3}. Give prob of picking 1 v and 3 r.\nAnswer: 3\/1190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 14110325?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 39875 and 609.\nAnswer: 837375","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 31773967 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -a + 432 + 525 - 1809 + 446 + 735 to s*a + p and give s.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u + 4*s - 14 = 66, 3*u = -s + 41. What is the smallest common multiple of 7 and u?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 455 is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 861.\nAnswer: 3, 7, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (9\/5)\/(18\/30). Suppose -k*c - 544 = -4*p, -7*p - c + 272 = -5*p. Is 68 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6105043 (base 7) to base 10\nAnswer: -724447","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -12.9575 - -18.5024. Let u = 5.58 - p. What is u rounded to 2 decimal places?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29 = -5*k - z, 4*k + 40 = z + 56 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o = -z - 2 - 2, -2*z - 2*o + 4 = 0. Suppose 3*x + 18 = 30. Suppose z = 2*v + g, -4*v - v - x*g = 0. Solve 3*a + a + 12 = v for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 23*d**3 + d**2 - 3*d + 3. Let g(w) = w + 10. Let j be g(-8). Is m(j) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.5 (b) 65 (c) -1 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4616 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 11, 41, 85, 149, 239, 361, 521?\n\"Answer: g**3 + g**2 + 20*g - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*t = -3*j - 1 - 5, -5*j = -2*t + 13 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (6322\/(-4))\/(((-12)\/(-8))\/(-3)) is divided by 102.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 641*l**2 - 1266*l**2 + 4 + 628*l**2.\nAnswer: 3*l**2 + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 125*s**3 + 8*s**2 + 18*s - 14. Let p(w) = -83*w**3 - 5*w**2 - 12*w + 9. Determine 8*p(n) + 5*z(n).\nAnswer: -39*n**3 - 6*n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -2*w**2 - 14*w + 1. Let t = -40 - -41. Let l be (2 - 3)*t*5. Let i be a(l). Solve -5*x - i = -1 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) be the third derivative of 1387*f**4\/24 - 2285*f**3\/6 - 4*f**2 - 72*f. What is the first derivative of r(j) wrt j?\nAnswer: 1387","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -48 - 62 = -22*o for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*u**3 - 4*u**4 - 5*u**3 + (-3*u + 7*u - 2*u)*(-1 + 1 - u**3) + 12*u**4 - 34*u**4 + 8*u**4.\nAnswer: -20*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 90\/45*((-101)\/(-5))\/(128\/320).\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 692707903 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 less than or equal to -16\/61?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 650 - 1291 + 20*l**3 + 641.\nAnswer: 20*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 508 (base 12) to base 15.\nAnswer: 338","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -19*c**3 + 8*c**2 - 11*c - 11. Let n(l) = -10*l**3 + 4*l**2 - 6*l - 6. Give 11*n(q) - 6*r(q).\nAnswer: 4*q**3 - 4*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(304) - 2*(-1*sqrt(304) + sqrt(304)) - (1*sqrt(304))**2*-2) + (-1*(-5 + sqrt(304)*-1 + sqrt(304)))**2.\nAnswer: 4*sqrt(19) + 633","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 9 = -5*d + 12, d - 7 = -3*c. Let h(z) be the third derivative of 0*z + 2*z**2 + 1\/20*z**5 + 0 + 0*z**d + 0*z**3. Let b(j) = -2*j. Determine h(b(r)).\nAnswer: 12*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -3882*f. Let n(k) = -21*k**2. Give n(g(y)).\nAnswer: -316468404*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -17490*x**2. Let z(r) = -27*r**2. What is h(z(v))?\nAnswer: -12750210*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 342 minutes before 2:52 AM?\nAnswer: 9:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 3 + 0)*(-5 + 3 + 1)*(27*g + 756 + 765 - 1528).\nAnswer: -81*g + 21","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 115 + -114. Let a be ((-3)\/(-5))\/(-4*z\/10). What is the biggest value in a, -2\/3, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*a**3 + 0*a**3 - 6*a**3)*(4 - 3 + 1) - 18*a**3 - 3*a**2 + 16*a**3 + 9*a**2.\nAnswer: -8*a**3 + 6*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 6*w**3*z**2 + 28*w**3*z + 461*w**2*z**2 wrt w?\nAnswer: 36*z**2 + 168*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -27259, -26990, -26721, -26452, -26183?\n\"Answer: 269*q - 27528","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000025450487 to 7 dps.\nAnswer: 0.0000255","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1680682\/7 + -239624. Let f = t + -469. What is the common denominator of -31\/2 and f?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-4 - -1)\/(1\/1). Let p(i) = -656*i + 4590. Let w be p(7). Let o(u) = -u**2 + u + 29. Let b be o(0). Sort b, w, m in ascending order.\nAnswer: m, w, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor t**3 + 42615*t**2 + 42612*t - 85228.\nAnswer: (t - 1)*(t + 2)*(t + 42614)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 8*c**2\/5 - 2718106*c + 3397632\/5.\nAnswer: 2*(c - 1698816)*(4*c - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 163*f**2 + 87*f**2 + 14*f - 7*f**2 - 7*f**2 wrt f.\nAnswer: 472","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 51\/2 of a litre in millilitres?\nAnswer: 25500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -524 = 63*j - s - 4*s, 4*s - 1398 = -4*j - 1414 for j.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -a**2 - 2*a + 2. Suppose 2*p = -5*l - 35, -2*p + 5*l = -p - 20. Let m(h) = -h**2 - 3*h + 3. What is p*x(g) + 3*m(g)?\nAnswer: 2*g**2 + g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t + 2*v = 72, -2*v = 64 - 56. Let x(d) be the second derivative of -t*d + 0*d**3 + 0 - d**5 - 1\/6*d**6 + 0*d**2 - 5\/4*d**4. Solve x(q) = 0.\nAnswer: -3, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 13860*a**3 + 2478*a**2 + 6714*a**2 - 6160*a - 842*a**4 - 4096 + 896*a**4 = 0. What is a?\nAnswer: -256, -2\/3, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 503 a factor of 6282973?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 21 - 14. Let l = u + -7.000033. Round l to five decimal places.\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is a5 + 4?\nAnswer: a9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -24048.01 + -2.\nAnswer: -24050.01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/5 in 4, -4, -1\/5, -11?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3504893134?\nAnswer: 2, 23, 619, 123091","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -3*f - 1. Let i be j(-2). Suppose 81*d - 115 - 47 = 0. Solve -4*g = i*q - 11, -6*g - d*q = -2*g - 2 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1548.14*3\nAnswer: -4644.42","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iiiiiiiiii. What is prob of picking 3 i?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) be the second derivative of h**3\/6 - h. Let t(b) = 9*b**2 + 7*b. Let s(p) = -5*p**2 - 4*p. Let a(z) = 7*s(z) + 4*t(z). What is a(r(x))?\nAnswer: x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 442439 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in seven fifteenths of a hour?\nAnswer: 28","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-728)\/8*((-6)\/2 - 4). Suppose -3*x = z - p, 13*x - 9*x - 3207 = -5*z. What is the hundreds digit of z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00008491 to five dps.\nAnswer: -0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 70*n**2 - 33*n**2 + 76*n**2.\nAnswer: 113*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -147*z**4 + 525547 - 2*z + 5*z**2 + 0*z - 526740 wrt z?\nAnswer: -1764*z**2 + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 24 - 10. Let n = r - 11. Which is smaller: 2 or n?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j + 0*j - 120 = 0. Suppose -3*t + j = t. Calculate the common denominator of -73\/34 and 9\/(-6)*61\/t.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -278.81 - -196.2. Let s = -82 - u. Let i = s - 0.09. Round i to one dp.\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = p**3 + p**2 + 2*p + 21. Let j(u) = -3*u**3 - 4*u**2 - 7*u - 64. Let v(c) = -2*j(c) - 7*t(c). Calculate v(0).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0011409 rounded to five decimal places?\nAnswer: -0.00114","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 - -6 - (0 - -6).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + (sqrt(275)*1)**2 + -4 + -2)*3.\nAnswer: 816","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*u**2 + 9931925*u - 79455080.\nAnswer: -5*(u - 1986377)*(u - 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4689113, -4689100, -4689087?\nAnswer: -4689074","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -8.18 + 0.18. Let v be 66\/(-16) - (-18)\/48. Let b = v - -53\/12. Put 0, k, b in ascending order.\nAnswer: k, 0, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 3*i = 1328 + 6154, -4*i = -2*o + 4998. List the prime factors of o.\nAnswer: 19, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-28112)\/280)\/((-2)\/5). Which is bigger: 253 or f?\nAnswer: 253","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of d**3*n**2 - 2609*d**3*n + 13*d**3 - 5*d**2*n - 2*d*n**2 + 2*n**2 - 27772*n wrt d?\nAnswer: 6*n**2 - 15654*n + 78","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 3\/2*(-2)\/(-3). Let w(f) be the second derivative of -f**2\/2 + 22*f. Let q(v) = -2*v. What is t*w(g) - q(g)?\nAnswer: 2*g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -503570 = 1064*b - 1074*b. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2858843 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-11)\/(-4) + 3\/12. Suppose 6*g - d*g - 168 = 0. Calculate the remainder when g is divided by 10.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 37 = 3*l - 5*w, 3*l - 4*w - 31 = 1 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.1421 and -0.02?\nAnswer: 0.1621","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 21961151 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 2, a: 6, w: 1, f: 4}. Give prob of picking 1 w, 2 f, and 1 a.\nAnswer: 36\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = s**3 - s**2 - s - 1. Let n(v) = 3*v**3 - v**2 + 4*v - 4. Let f(j) = n(j) - r(j). Let c(b) = 5*b**3 + 11*b - 7. Calculate 3*c(l) - 7*f(l).\nAnswer: l**3 - 2*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13326704 divided by 3.\nAnswer: 13326704\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 754 - 550. Suppose -z*p = -205*p + 36. What is the least common multiple of 108 and p?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2*11\/(-242))\/(1255\/70 - 18) - 1.\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 408 = 4*t + 5*l, 5*t - 2*l + 105 = 6*t. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 83526839?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*w - 0*w. Let z(p) = p - 6. What is z(w)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 104279976 divided by 4\nAnswer: 26069994","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 561, 633, 795, 1083, 1533, 2181, 3063?\n\"Answer: 6*j**3 + 9*j**2 + 3*j + 543","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -17, -3, 3, -2.\nAnswer: -17, -3, -2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fx when two letters picked without replacement from xfr.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s + 19 = -161. Let n = s - -65. Does 5 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5818788 - 256.6848.\nAnswer: -5819044.6848","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 57*k**2 - 68*k**2 - 110*k**2 - 62*k**2. Let p(n) = n**2. Calculate j(p(o)).\nAnswer: -183*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(3 + 4 + 1*(1 + sqrt(1300))*1 + -1)*-1)**2.\nAnswer: 5040*sqrt(13) + 48564","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2\/(-16095)*-32*34. Let r = v + -2\/1073. Put 0, 5, r in decreasing order.\nAnswer: 5, r, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) be the first derivative of 2*t**2 - t - 4*t**2 - 2 - 5*t. Let g be k(-7). What is the greatest common divisor of 2 and g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (672\/(-54))\/(-56)*(-27)\/129?\nAnswer: -2\/43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 14*h**2 - 1. Let s be w(2). Suppose 5*y + 3*u - s = 0, 0*u - 11 = -y - 4*u. Let t = 21 - y. Calculate the highest common factor of 40 and t.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 682*f - 383*f - 333*f = -136 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, 2\/55, 4 in decreasing order.\nAnswer: 9, 4, 2\/55","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + y - 2*y + 4*y + y + 2*y + 3*y - 4*y + (y + y - 4*y)*(-2 - 1 + 5) + 3*y - 3*y - y + 0*y + 4*y - 5*y - 2*y + 2*y - 2*y)*(3*y - 3*y - y).\nAnswer: 3*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = h**3 + 6*h**2 - 6*h - 8. Let y be n(-6). Let i = -3 + y. What are the prime factors of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -48\/1675 and -23\/2010?\nAnswer: 10050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 216 + 121?\nAnswer: 337","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 4*o**2 - 6*o - 69. Calculate y(-4).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -18*j**2 - 31*j. Let v(l) = -9*l**2 - 15*l. Let s(r) = 4*o(r) - 7*v(r). Find the second derivative of s(u) wrt u.\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 312928410?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 5 = -5*y + 24, -8 = t - 4*y. Let c(k) = -5*k - 3. Let a(p) = -5*p - 3. Let r(b) = t*a(b) - 3*c(b). What is the derivative of r(h) wrt h?\nAnswer: -5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 94695202 a multiple of 56?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 0*h**2 + 3*h**2 + 15698*h - 16103*h)*(-2 + 3 + 0) in the form q + o*h**2 + g*h and give o.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 4*t + 34. Is m(0) a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*w + 96 - 71 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-20 - -26 - (4 + 0)) + -11.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -12 or -4354441?\nAnswer: -4354441","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:01 PM and 5:21 AM?\nAnswer: 680","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 3*y**2 - 165*y + 2260. Determine l(26).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 50\/(-6) - 10\/15. Let p be -1 - -3 - (-3 - -2). Let z be 2\/p*m\/39. Which is the nearest to -1? (a) 6\/11 (b) z (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**0\/a*(a*a**3\/a)\/a)**(-1)\/((a**0)**(-1\/8)*(a*a**(3\/5))\/a*a**(-2\/3)) assuming a is positive.\nAnswer: a**(-14\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -3843*z**3 - 2*z + 1. Let i be c(1). Is -2*(3 - i\/(-8)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*q = -3*q - 9. Suppose 5*w + q*a - 1514 = 0, -2*a = -4 - 2. Suppose 0 = -3*j + 2*u + w, 5*j - 4*u - 500 = -u. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.2023562 to three decimal places.\nAnswer: -0.202","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1 + (0 - -1)*10. Let u be 2\/(-3) + 145\/15. Suppose -u = -2*j + 2*s + 1, j = -s + c. List the prime factors of j.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 211 - 196. Suppose j*l + 2*l = 34. Solve 4*k + 14 = l*w + k, -2*w = 4*k + 14 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3022*m + 0 + 0 + 924*m)*(2*m + 6*m - 5*m).\nAnswer: 11838*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) be the first derivative of r**6\/90 - r**3 - 6. Let o(n) be the third derivative of b(n). Let p(x) = -2*x. Give p(o(u)).\nAnswer: -8*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 8\/6*18\/(-8). Let o(y) = y + 4. Let f be o(-2). Suppose -t + 14 = -f*s, -3*t + 37 = -7*s + 2*s. Sort h, 5, 1, s in ascending order.\nAnswer: s, h, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*d + o + 2*o - 122 = 0, -497 + 578 = d - 4*d + 2*o for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -13 * -49\nAnswer: 637","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -4 - (-7)\/(-3)*-3. Suppose r*b - 2 - 28 = 0. Suppose 2*f = b, -2*z - 3*f = -7*f - 1338. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -3*v - 11. Calculate d(-12).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -227720577, -227720575, -227720573?\n\"Answer: 2*p - 227720579","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(700) + -1)**2 + -5.\nAnswer: 20*sqrt(7) + 696","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*v + 4*y = -11 - 5, -1 = -2*v - 5*y for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 2 - 4 = 0. Let m = 5706 - 5704. What is the third derivative of -216*g + 216*g - g**m - q*g**4 wrt g?\nAnswer: -72*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dqpqqqdpqpddqq. Give prob of sequence qppp.\nAnswer: 1\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*r + 9*r + 20*r - 18*r.\nAnswer: 27*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 34, -523, -4, -2 in descending order.\nAnswer: 34, -2, -4, -523","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*w**4 - 4*w**4 + 6*w**4 + (5*w**3 - 6*w**3 + 4*w**3)*(-2 + 2 - w) + 0*w**4 + 0*w**4 + w**4 + (-2*w**2 + 5*w**2 - w**2)*(-2*w**2 + 0*w**2 + 3*w**2).\nAnswer: 2*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/f**(-3\/8))\/(f**(1\/3)\/f)*(f*f*f\/((f\/(f**(-10)*f)*f)\/f*f*f)*f*f)\/f**11 assuming f is positive.\nAnswer: f**(-383\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -395946, -395936, -395902, -395832, -395714?\n\"Answer: 2*b**3 - 4*b - 395944","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 50 and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 10250 (base 6) in base 11?\nAnswer: 1061","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*y - a - 3*a - 24, -y - 4 = 4*a. Suppose -y*g + 171 = -133. Let f be -2*(1 - 74\/g). Does -1 = f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = j**2 + 19*j + 12. Give o(-18).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = x**2 - 3*x**2 + 4*x**2. Let u(z) = 8*z + 4. Let t(j) = -9*j - 5. Let c(d) = -4*t(d) - 5*u(d). Calculate o(c(h)).\nAnswer: 32*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*d**5\/19 - 26*d**4\/19 - 134*d**3\/19 - 18*d**2 - 432*d\/19 - 216\/19.\nAnswer: -2*(d + 2)**2*(d + 3)**3\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 10 - 10. Let s(l) = -l**3 - l + 16. What is the remainder when 45 is divided by s(n)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 111101011111101110101101 (base 2) to base 16.\nAnswer: f5fbad","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 51 + -150. Let i be 1\/3 + 11\/g. What is the third smallest value in -2, i, 3\/2?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 85468 is divided by 22.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) be the second derivative of j**5\/20 + j**4\/2 + 2*j**3\/3 - 3*j**2\/2 - 9*j. What is b(-5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -40*w - 5*w**2 + 41*w - 77*w**2 - 210*w**2.\nAnswer: -292*w**2 + w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (20 - ((-113)\/(-16) - (-28)\/(-448)))*1*2.\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2791 - 2777. Let j = -37 - -88. Suppose -5*g + j + 139 = 0. What is the remainder when g is divided by o?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 4 - 4)*(-1 + 1 - 2*z)*(z**4 - 3*z**4 + 0*z**4).\nAnswer: -12*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 4 - 2 + 1 - 2 + 2 + 0 + 0 - 1 - 5 + 2 + 4 + 4 - 2 + 0 - 3 + 2 + 2 + (-3 - 3 + 5)*(1 - 2 + 2))*(-a - a + a)*(-2*a**2 - 15*a**2 - 53*a**2).\nAnswer: 280*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*r + 0*r + r)*(-3 + 2 - 1) + (4 - 4 + 1)*(-6*r - 7*r + 4*r) in the form w + y*r and give y.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -6485, -6558, -6631, -6704, -6777?\n\"Answer: -73*c - 6412","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 103408?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 15 - 3*n - 15 + (-2 - n + 2)*(2 - 3 + 2) - n + 3*n - 7*n + (-1 - 2 + 4)*(-2*n - n + n) + 5*n - 4*n - 3*n to the form g*n + j and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 42 and 336?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 13*w**4 + 4 - 14*w**2 + 0*w**4 - 4 wrt w.\nAnswer: 312*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q = q + 4476912. Suppose -4*j - q = -57438456. Suppose 0 = -2*t - t + j. What is t rounded to the nearest 1000000?\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 0 (b) -1\/22 (c) 0.1 (d) -1\/2 (e) 2\/5 (f) 4 (g) -613\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8528 = -639*s + 1172*s for s.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 23291.16 decades to millennia.\nAnswer: 232.9116","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 78*o + 76 = 74*o. Let t(u) be the first derivative of u**3\/3 + 9*u**2 - 21*u - 44. Give t(o).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 135 is divided by 21?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 186*t + 10 = 176*t for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/7 in -1\/3, 0.01, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(4536)\/sqrt(8) + sqrt(7) + -1.\nAnswer: -1 + 10*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-122337)\/1932)\/197)\/(((-40)\/(-500))\/((-7)\/(-15)))?\nAnswer: -15\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.05 + 0.95. Let y = d - 1.09. Let j = 0.01 - y. Round j to one decimal place.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10101110010010 - -11?\nAnswer: 10101110010101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 433 divided by -4?\nAnswer: -433\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 289985 to the nearest integer?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 630689280 to the power of 1\/3, to the nearest integer?\nAnswer: 858","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 426, 863, 1300, 1737?\n\"Answer: 437*k - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f + 2*t + 20 = 6*t, 3*f - t = -5. Let i be (-4)\/22 + 159\/(-33) - f. Let r(v) = -v - 10. What is r(i)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 2*h**2 + 22*h + 11. What is k(-10)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 1351231 (base 6) to base 13\nAnswer: 28c36","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -2*g**2 - 14*g - 7. Let i be d(-6). Let z(v) = -v**2 + 5*v + 3. Let a be z(i). Solve -a*m - 3*t = 12, -3*m - 13 - 6 = -4*t for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = o**3 + o**2 - 3*o + 36. Let a be l(0). Suppose 0 = 3*v - v + 6. List the prime factors of a + 6*v\/(-9).\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 88910 by 17782.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-u + u - 2*u)*(-3*u**2 + 0*u**2 + u**2) - u**3 + 205 - 205 + 2*u**2 to s*u**2 + o*u**3 + y*u + p and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -63\/8652208 and 23\/72.\nAnswer: 77869872","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 102834959 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*d + 10*d + 14 + 3 - 36 + 4.\nAnswer: 18*d - 15","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 92 minutes after 7:48 PM?\nAnswer: 9:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -7*i**3 - 20*i**2 + 11*i + 96. Let z(f) = -2*f**3 - 4*f**2 + 3*f + 24. Let t(y) = -3*v(y) + 11*z(y). Give t(16).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 26676 and 40.\nAnswer: 266760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -s**3 - s**2 + 25. Let x = 182 - -53. Suppose 0 = -49*g + 44*g + x. What is the remainder when g is divided by n(0)?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.56 - -1.36. Which is the second biggest value? (a) 0 (b) -0.2 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = s**3 + 25*s**2 + 120*s + 23. Calculate the remainder when b(-11) is divided by 19.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5204736 minus -0.5?\nAnswer: 5204736.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00097655514 to five decimal places.\nAnswer: -0.00098","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -184 divided by -52674?\nAnswer: 92\/26337","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.47 - 0.07. Let h = 0.2 - p. Put h, -1\/4, 3\/7 in ascending order.\nAnswer: -1\/4, h, 3\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4 * 690.61.\nAnswer: 2762.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (10\/(-15))\/(2\/(-6)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -1596*t - 908. List the prime factors of p(-4).\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -b**3 - 3*b**2 - 2*b - 4. Let h be t(-3). Suppose -g + j - 100 = -95, 3*j = 4*g + 11. Solve 0 = g*z - h*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = p - 4 + 10*p + 7*p + 1. What is the tens digit of d(3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -53274\/1219 at least as big as -44?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 468 minutes after 3:17 PM?\nAnswer: 11:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 6949073 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 30 + -2e2ca?\nAnswer: -2e29a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 24464 and 27800?\nAnswer: 611600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-24)\/(-14) - 4\/(-14). Suppose 3*y + 1 = -f, -2*d = -y - 33. Suppose -6*n = -2*n - d. Does 4 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bbbbwzbfzbwg. Give prob of sequence wfw.\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 6966643 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-24)\/(-16))\/(9\/696). Let v = 115 - q. Let m(j) = -184*j**3 - 3*j**2 - 4*j - 1. List the prime factors of m(v).\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 23795141 divided by 2?\nAnswer: 23795141\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 1, d: 1, w: 1, y: 1, l: 1}. What is prob of sequence wd?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 51*n**4\/5 + 52*n**3\/5 + n**2\/5 = 0. What is n?\nAnswer: -1, -1\/51, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (4\/(-10))\/((-6)\/15)*1. Which is smaller: 3\/2 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2278 less than 351?\nAnswer: -1927","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y**(-1\/2)*y)**4)**30)**50 assuming y is positive.\nAnswer: y**3000","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 568547 and 2009.\nAnswer: 568547","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) be the third derivative of 0*a**5 + 0 - 1\/30*a**6 + 0*a - 1\/4*a**4 + 0*a**3 + 5*a**2. Find the second derivative of w(t) wrt t.\nAnswer: -24*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*m + 145 + 14*m**2 - 145.\nAnswer: 14*m**2 + 2*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5990 + 1025. Does 69 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13800 a multiple of 115?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2 * 507.07.\nAnswer: 1014.14","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 0, 4 in decreasing order.\nAnswer: 5, 4, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -y**2 - 91*y - 1397. Let x be p(-71). Suppose -3*f + 2*f + 69 = 0. Calculate the greatest common factor of f and x.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) be the third derivative of -b**6\/30 - b**5\/60 - b**3\/3 - 8*b**2. Let u(i) = 3*i**3 + 2. Determine -3*u(d) - 2*w(d).\nAnswer: -d**3 + 2*d**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2072 and 1813?\nAnswer: 259","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in one tenth of a tonne?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 223 and 1291393.\nAnswer: 223","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:04 PM and 8:14 AM?\nAnswer: 610","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (2*sqrt(405) + -4 - sqrt(405) - sqrt(405))**2*2.\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -30, 0, 30, 6, -9 in increasing order.\nAnswer: -30, -9, 0, 2, 6, 30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1247\/119 + 64\/17. Let f = -22\/7 - -79\/14. What is the common denominator of l and f?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1291690 and 20.\nAnswer: 2583380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = o**3 - 5*o**2 + 4*o - 3. Let i be q(4). Let j = i - -8. Suppose j*y - 239 - 176 = 0. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -2*f**3 + 0*f + 3*f - 4 + 9*f**3 + 3*f**2. Let u(p) = p**3 + p**2 + p - 1. Suppose 2315*z + 12 = 2313*z, -3*l = -5*z - 33. Determine l*s(o) - 4*u(o).\nAnswer: 3*o**3 - o**2 - o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -2*p**2. Let m = 6 - 5. Let w(b) = -m + 4 + b - 3. What is w(c(o))?\nAnswer: -2*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 658 - 657.9. Let c = -0.2 + -0.3. Sort -2, d, c in decreasing order.\nAnswer: d, c, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1 by -201.\nAnswer: -1\/201","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) be the first derivative of 7*c**4\/4 - 5*c**3\/3 + 4. What is the third derivative of h(k) wrt k?\nAnswer: 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22801*g**2 + 22801*g**2 - 45604*g**2 - 10*g.\nAnswer: -2*g**2 - 10*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 79\/2976 and 27\/227168.\nAnswer: 681504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s = -3*j - 5 + 8, -14 = -s - 4*j. Suppose k + 12 = 4*x - 5, -2*k = -5*x + 19. Suppose s*v = -k*v + 80. List the prime factors of v.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*a + 4211*a**5 + 0*a - 3*a + (-a**5 + a**5 + a**5)*(-4 + 3 - 1) + 2*a**2 - 2*a**2 - 2*a**5.\nAnswer: 4207*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000051582538 to seven decimal places.\nAnswer: 0.0000052","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -1256*n + 7560. Calculate i(6).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -31b (base 12) to base 7\nAnswer: -1220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2\/649 + 1292\/1947. Let w = -0.4 - -0.7. Which is the second smallest value? (a) t (b) -4 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b**2 + 7256*b - 1271900 = 0. Calculate b.\nAnswer: -1975, 161","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.010534 * 14.\nAnswer: -0.147476","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 2331 - -4?\nAnswer: 2335","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2*(150\/(-40))\/((-6)\/4).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(sqrt(75) - sqrt(75)*2).\nAnswer: -30*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 74693?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -2*b**2 + 3*b + 3. Let a(c) = -1748*c**2 - 21*c - 21. Give -a(r) - 7*x(r).\nAnswer: 1762*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 64202739*z**2 + 25661*z - 926 wrt z.\nAnswer: 128405478","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*v = 5*v - 1365. Suppose -v*g = -100*g - 3565. Calculate the highest common factor of g and 23.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w - 5*m = -2*w - 29, 4*w - m - 3 = 0. Let h(i) = i - i - i**w + 0*i. Let q(j) = -2*j. Give q(h(u)).\nAnswer: 2*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cccccccccccg. Give prob of sequence cc.\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 37*c**3 - 28*c**3 + 3*c**2 + 3*c**2 + 0 - 4*c**2 + 8 to the form p*c**3 + n + r*c + w*c**2 and give w.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2175916 - 2188860.81. Let w = 12825 + j. Let q = w + 122. What is q rounded to 1 decimal place?\nAnswer: 2.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1861.\nAnswer: 1861","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 107681471?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 3\/2*(-1 + -1). Let p(u) = u**3 - u**2. Let j(x) = 3*x**3 - 6*x**2 - x - 1. Let y(w) = j(w) - 5*p(w). Is y(f) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (9\/(-12) + (-56)\/(-32))*3. Solve -h*g + 20 = -7*g for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18 + 22 = -10*k for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j, 1 p, and 2 w when four letters picked without replacement from {e: 2, j: 1, n: 1, d: 1, w: 2, p: 1}.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8808?\nAnswer: 2, 3, 367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -40, 2\/5, 2, -5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 92527?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5\/2467 - -3969393\/4934. Is 805 less than or equal to l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.005409 and -3720.\nAnswer: -20.12148","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 2872 a factor of 3017467838?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 208552336 to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 1375*f**3 + 12*f**2 - 3*f - 504. Let u(g) = -4125*g**3 - 32*g**2 + 8*g + 1510. Let i(h) = -8*q(h) - 3*u(h). Differentiate i(z) with respect to z.\nAnswer: 4125*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -3536 + c1?\nAnswer: -3475","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11100001011010010 (base 2) to base 5.\nAnswer: 12143120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 323 minutes after 7:03 AM?\nAnswer: 12:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -2*t + 1. Let o(r) = -4*r + 3. Give 6*o(f) - 13*y(f).\nAnswer: 2*f + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-17)\/(-4) + (-24)\/(-32). Which is the nearest to 2\/11? (a) f (b) 4\/3 (c) -7 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) be the first derivative of -4*j**3\/21 - 9*j**2\/14 + 9*j\/7 - 937. What is x in d(x) = 0?\nAnswer: -3, 3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1592 - 1475.89. Round z to the nearest 10.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 6 = 4*w - 4*j, 12 = -w - 4*j. Suppose -2*k + 39 + 71 = w. What is the greatest common factor of 22 and k?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -y**2 + 10*y - 10. Let b = -3 - -6. Suppose -3*h + 6*q - q = -49, b = h + q. Let s be k(h). What is the highest common factor of 54 and s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 96 divide 27132?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -v + 1. Let x(q) = 5*q - 4. Let u = 140 + -141. Give u*x(z) - 3*y(z).\nAnswer: -2*z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Product of -4 and 1657.2.\nAnswer: -6628.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = m**2 - 10*m + 11. Determine v(8).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-46)\/(-30) + 138\/1035.\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -41 - -45. Suppose 0*h + 12 = o*h. Suppose -2*t = 3*t - 5. Put -2, h, t in increasing order.\nAnswer: -2, t, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 2*d + 5. Let h be 2*2*6\/8. Suppose -h*f + 7*f - 5*g = 13, 0 = 2*g + 10. Let l be f\/(-6 - -3) - 7. Calculate i(l).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000016738775 rounded to 7 dps?\nAnswer: 0.0000167","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lhqhxtxqolqlqhqoqqhl. Give prob of sequence lxtx.\nAnswer: 1\/14535","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = s**3 - 10*s**2 - 9*s - 15. Let m be z(11). What is the third derivative of 5*u**2 + 15*u + m*u**5 - 4*u - 11*u wrt u?\nAnswer: 420*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fourty-two fifths of a litre?\nAnswer: 8400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 53770, 217149, 489448, 870667, 1360806, 1959865, 2667844?\nAnswer: 3484743","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in fourty-four fifths of a minute?\nAnswer: 528","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (5*(1*sqrt(567) + 5)*2 + -1)**2)*5.\nAnswer: 44100*sqrt(7) + 295495","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -f**3 - 7*f**2 - 7*f - 5. Let m be w(-7). Suppose -3*i - i = -m. List the prime factors of i.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 10807 and 107.\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 4*l - 20. Let v(c) = 19*c**2. Give o(v(f)).\nAnswer: 76*f**2 - 20","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -c**2 - 7*c - 6. Let j be v(-6). Sort 3, 2, j in decreasing order.\nAnswer: 3, 2, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 5 - 2\/3*3. Suppose 0 = -a*h - 2*h + 60. Let u = h - 12. Solve 4*p + u*p = 0 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -g**2 + g. Let h(k) = -2*k. Calculate h(t(d)).\nAnswer: 2*d**2 - 2*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -47471928*x**2 - 4234*x + 713 wrt x?\nAnswer: -94943856","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.8? (a) 1 (b) 0 (c) 9 (d) -0.1305\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 17*n**2. Let s(q) = -3*q + 6. Let h(p) = 8*p - 17. Let o(x) = -6*h(x) - 17*s(x). Determine f(o(g)).\nAnswer: 153*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 217060?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:10 AM and 10:56 AM?\nAnswer: 526","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-31)\/(-6) - (-3 - 38\/(-12)). Suppose 21*p = o*p + 5568. What are the prime factors of p?\nAnswer: 2, 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -50 = -3*p - 2*p. Suppose -3*z + p = -z + 4*r, -4*r = -8. Solve 3*q - 7 + z = 0 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 169219, 338437, 507655, 676873?\nAnswer: 846091","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 2 a when three letters picked without replacement from baanieanidn.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 41\/28 and -39\/287.\nAnswer: 1148","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 28015?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by -101098\nAnswer: 5\/101098","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 times -1699.03?\nAnswer: -339.806","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 345 minutes after 11:31 AM?\nAnswer: 5:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -12 + -7a?\nAnswer: -8c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 41708*i - 166859. Calculate b(4).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -99\/7274 and 69\/266.\nAnswer: 967442","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 5*k**3 + 23*k**2 + 93*k + 69. Let l(j) = 9*j**3 + 47*j**2 + 187*j + 139. Let b(g) = 10*i(g) - 6*l(g). Factor b(c).\nAnswer: -4*(c + 1)*(c + 6)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 155515741151 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-19)\/171)\/((-95)\/(-855))*(-214)\/(-2)?\nAnswer: -107","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 260 and 1079.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 33060604 - 18060604. Round i to the nearest one million.\nAnswer: 15000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.6 - 52920057.\nAnswer: -52920057.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2.6 in -5, -2\/9, -0.2, -1\/4?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15 - 43 = 28*g for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 44304, 44263, 44234, 44223, 44236, 44279?\nAnswer: 44358","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*sqrt(832) + -5 - -4*6*(sqrt(13) - sqrt(39)\/sqrt(3)).\nAnswer: -8*sqrt(13) - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -375 times -4189.3\nAnswer: 1570987.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 22848712 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: Work out 0.021 * -1.\nAnswer: -0.021","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let -b**5\/12 + 37*b**4\/3 + 323*b**3\/2 - 101025*b**2 + 19198125*b\/4 - 52312500 = 0. What is b?\nAnswer: -93, 16, 75","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 597620179 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1\/(1\/(29 + 1)). Suppose -3*s + n = 2*z, -2*s + 14 = 2*z - 6. Is (-73)\/(-5) + 4\/s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.105 and 1?\nAnswer: -0.105","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*s**6 - 206106*s**4 - 1633191*s**2.\nAnswer: -240*s**3 - 4946544*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -12*-0.2226\nAnswer: 2.6712","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 1 t when two letters picked without replacement from qttc.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 94850 is divided by 624.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (698\/(-180) + 4)\/((-3)\/(-6)) and -37\/90?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = k**2 - k + 4. Let t(z) = -3*z**2 + 4*z - 11. Let f(g) = -8*j(g) - 3*t(g). Suppose 1 = 5*i - 24. Give f(i).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v + 5*d - 2*d - 9 = 0, 5*d = 25. Let x be ((-1)\/v)\/(2\/300). Suppose x + 25 = -t + 5*g, 3*t + g + 220 = 0. Round t to the nearest ten.\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -630d7 (base 14) in base 7?\nAnswer: -2013360","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = x + 8. Let z be m(-7). Let b(w) = -8*w + 8. Let q(p) = 2*p - 3. Let d(g) = b(g) + 3*q(g). Calculate d(z).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1 - (-2)\/3*(-264)\/16. Let c(z) = -z**3 - 9*z**2 + 10*z - 3. What is c(x)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 414 minutes after 11:34 AM?\nAnswer: 6:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 11) in base 5?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -1\/7, 8\/341, 3, -24, -9\/4, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -s**2\/6 - 17885*s\/6 + 17891.\nAnswer: -(s - 6)*(s + 17891)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 30367 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 2*c = 6, 3*c = 4*c - 2. Calculate the lowest common multiple of 8 and (u\/3)\/(2\/(-72)).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 17*i + 1 + 31*i - 1.\nAnswer: 14*i + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 27 - (1 + 3 + 0). Let q = m + -25. Let t be q*9\/6 - 20\/(-2). Solve -r - t = -6 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -z**2 - 6*z - 11. Let i be r(-5). Is (12\/(-7))\/(i\/84) a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 101476801?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24 = -70*m + 62*m for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -1073, -1127, -1179, -1229, -1277, -1323?\n\"Answer: k**2 - 57*k - 1017","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -107571, -107583, -107597, -107613, -107631, -107651?\nAnswer: -107673","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e when two letters picked without replacement from eekekeeeekkekkeieek?\nAnswer: 55\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -23.8 + 22. Let d = 1.6 + k. Which is the closest to 0.1? (a) d (b) 0.5 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4250 is divided by 1694?\nAnswer: 862","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 18 - -1. Suppose -4*t + b = 3. Suppose 1 - t = -c. What is the units digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1211*z**5 - 5*z**2 - 44*z.\nAnswer: -72660*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 218881441?\nAnswer: 218881441","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -301434403 (base 5) to base 3\nAnswer: -2021002111020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 - 3 = x. Let w(v) = v**3 + 6*v**2 - 8*v - 3. Let h be w(x). Differentiate -5*d - 12 + h + 2*d + d with respect to d.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.049 - -0.231. What is i rounded to one dp?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 4*d = 6. Let h be (d\/6)\/(1\/9). Let x = -64723\/5 - -12945. What is the second smallest value in 0.1, -2, x, h?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3045002 divided by -70814.\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*y - 17*y = -7556. What is the thousands digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-3))**(17\/5)\/(g**2\/(g**(-2\/17)\/g)) assuming g is positive.\nAnswer: g**(-1132\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -216582*i + 0 - 5 + 1.\nAnswer: -216582*i - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 15) to base 8\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -121*5.\nAnswer: -605","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 41 + -11?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Total of -100.63716599 and 0.0416.\nAnswer: -100.59556599","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 3*w**2 - 1. Let g(y) = -y**3 + 3*y**2 + 5*y - 5. Let p be g(4). Let c be a(p). Suppose -k + c + 4 = 0. What is the units digit of k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 1 m when two letters picked without replacement from mpehcehpmhmmfhhmm.\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = -3*u - 3255, 4*y - 5*u - 13250 + 230 = 0. Is y a multiple of 75?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + -2 + 0 + (sqrt(275) + 2)*6.\nAnswer: 6 + 30*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -2 divided by 858983\nAnswer: -2\/858983","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:44 PM and 10:18 PM?\nAnswer: 454","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or -16\/11553?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is seventy-seven fifths of a millennium in decades?\nAnswer: 1540","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*a**3\/7 + 219*a**2\/7 + 3*a\/7 - 219\/7.\nAnswer: -3*(a - 73)*(a - 1)*(a + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*x + 12 + 6. List the prime factors of 36 - (0\/x)\/(-3).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.3, -2\/11, 1\/5284, 2, -0.3?\nAnswer: 1\/5284","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Simplify a\/a**(-2\/9)*a**(-12\/7)*(a\/a**(1\/21))\/(a**(-6)\/a) assuming a is positive.\nAnswer: a**(470\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 17 + -16.5. What is the closest to 0.1 in -0.2, g, 3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 2, o: 1, m: 8, s: 1, h: 7}. Give prob of picking 1 m and 2 g.\nAnswer: 8\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 43\/11370950 and -16\/30701565.\nAnswer: 307015650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5\/33 + -1 + (-30)\/(-45).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 989 is divided by 316?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -2*x + 3*u, 3*x - x + 3*u + 12 = 0. Solve -2*b + 0 + 10 = x for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 261984 and 88824.\nAnswer: 969602784","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 84785.3ml in litres?\nAnswer: 84.7853","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 128 * 4.55\nAnswer: 582.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -2\/17, 2\/91, 0.1, 0.2, 43, -0.073, 0.5?\nAnswer: -0.073","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (10\/(-35))\/(30\/35). Let t = -6 - -5.6. Sort t, -12, w in descending order.\nAnswer: w, t, -12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 219 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2381845 - 1359743 = -3*h. Let f = -2247196 + h. What is f rounded to the nearest one million?\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -59906*u**2*y**2 + 2*u**2 + y**4 + 145550 wrt y?\nAnswer: -119812*u**2*y + 4*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33*z + 16 = -4*f - 29*z, -3*f + 15 = 6*z for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*q**(21\/5))\/(q\/(((q\/q**(-1\/4))\/q)\/q)*q*q))\/(q**2*q*q\/(q*q*q**(1\/23))) assuming q is positive.\nAnswer: q**(-233\/460)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -253*d*r*y**2 - 2*d*r*y - 2077*d*r - d*y**2 - 132*d*y + r - 16404*y**2 wrt y.\nAnswer: -506*d*r - 2*d - 32808","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 14*(211800\/105)\/10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -1726593, -3453184, -5179775, -6906366, -8632957?\n\"Answer: -1726591*u - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = g - 17. Suppose -3*j = 0, 0 = -g*y + 2*y + 2*j + 1275. What is the common denominator of ((y\/(-650))\/(-17))\/((-6)\/305) and -73\/2?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 0*t + 12 + 2 - 2*t + 2. Let q be s(6). Suppose -33*z = -17*z. Sort q, z, 5.\nAnswer: z, q, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*v**3\/7 - 6*v**2\/7 + 9*v\/7.\nAnswer: -3*v*(v - 1)*(v + 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 2*y**2 + 26*y + 6. What is f(-11)?\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) be the third derivative of -a**4\/6 - 2*a**3 + 12*a**2. Let s be f(5). Let c = 35 + s. Solve 2*h - c = 5 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find r, given that 27*r**3 + 27*r**3 + 194*r**4 - 578*r**2 - 60*r**3 + 2*r**5 + 388*r = 0.\nAnswer: -97, -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 50256 and 36.\nAnswer: 50256","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 61\/121, 5, -1\/2, 0.06, 4 in descending order.\nAnswer: 5, 4, 61\/121, 0.06, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Determine t, given that 32*t**4\/7 + 592*t**3\/7 - 1630*t**2\/7 + 150*t = 0.\nAnswer: -21, 0, 5\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) be the first derivative of -h**2\/2 - 17. Let s(l) = l**2. What is s(z(f))?\nAnswer: f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -104 + 109. Solve -i + m*i = -4 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -6 (b) -1 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 173717.9 minus -0.809394006?\nAnswer: 173718.709394006","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 69804619 to the power of 1\/3, to the nearest integer?\nAnswer: 412","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k*(k*k**1)\/k)**(-22)\/((k**(-2\/7)*k)\/k**4))**(-43) assuming k is positive.\nAnswer: k**(18877\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1766, 4253, 6740?\nAnswer: 9227","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 912128840?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 3226654000 rounded to the nearest 1000000?\nAnswer: 3227000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4544 - -4572. Calculate the remainder when 62 is divided by f.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 3437?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/(-6))\/((-43)\/387).\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 s and 1 y when three letters picked without replacement from {y: 1, k: 4, l: 3, s: 2}?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 0*j = 2*n - 26, 5*j = 0. Solve 3 = 4*d - n for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4*-1)\/(72\/108).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7439 is divided by 7436.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -7 in -3\/7, -0.4, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -4.3 (b) -4.1 (c) 1 (d) -2\/11 (e) -2\/3 (f) -8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -0.2 (b) 2 (c) -0.9 (d) 2\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 225 a multiple of 42?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 71406 is divided by 1142.\nAnswer: 602","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) -3.3 (b) 0.8 (c) 2\/459 (d) 2\/13 (e) -2 (f) -19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Are -335500981 and -335500979 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 1\/(-3) - 0 - (-2)\/(18\/3)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:49 PM and 5:07 AM?\nAnswer: 678","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 8 = 5*z + 2, 3*w = -4*z - 8. Suppose -i - 2*q = w, -3*q - q = -i. Factor 0*u + i - 16\/5*u**4 + 4\/5*u**2 - 2\/5*u**3 - 2*u**5.\nAnswer: -2*u**2*(u + 1)**2*(5*u - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -548 + 247 - 1594*j**2 + 303 + (j - 2*j + 0*j)*(-3*j + 3*j - j) in the form v + n*j**2 + w*j and give n.\nAnswer: -1593","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 439*c + 480 = 443*c, -3*c = -24. Solve s*b = 213*b + 88 for b.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 2*m - 2004 - 3491 = 0, 5*f + 2*m = 5495. What is the least common multiple of f and 1727?\nAnswer: 12089","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 119003, 476093, 1071249, 1904471?\nAnswer: 2975759","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 48\/5 + 3\/(-5). Suppose f - 2*f + w = 0. What is the remainder when 16 is divided by f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = a + 2. Suppose -2*o - 19 + 47 = 0. Let g = o - 12. Let u(v) = -6 - g*v + 3 - v - 3. What is -7*k(p) - 2*u(p)?\nAnswer: -p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1.3 - 0.7. Let w = -0.1 + u. Let d = -624 + 628. Which is the closest to -2\/3? (a) d (b) w (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -i**2 + 29*i - 64. Let h be l(26). Suppose -15*p + 1578*p**2 - 1575*p**2 - h - 28 = 0. Calculate p.\nAnswer: -2, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2242*b - 25*b**2 + 12*b**2 + 10*b**2 + 2*b**2 as a + g*b + y*b**2 and give g.\nAnswer: -2242","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-1 + sqrt(637) - sqrt(637)) + -3)*-1)**2.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 111 - 111.05. Let b = 442 + -439. What is the nearest to -0.1 in x, -3, b?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*u = 309841 + 120509. Does 19 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 85591365 to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 3119 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.37 + -18.37. Which is the fourth biggest value? (a) -3 (b) 0 (c) -1 (d) z\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 47*r**3*t - 260*r**3 - r**2*t**4 wrt t.\nAnswer: 47*r**3 - 4*r**2*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 11320 + 122153?\nAnswer: 133513","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-5080)\/120)\/((-2)\/6). Which is bigger: x or 130?\nAnswer: 130","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -2*y - 15. Let j be k(-8). Let g be (-26)\/(j + -1 + -1). Suppose 0 = 2*d - g - 54. List the prime factors of d.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -j. Let y(d) = -1106*d**2. Give y(b(z)).\nAnswer: -1106*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 10 - 6. Suppose x*m - m + 5*n + 22 = 0, 0 = -4*n + 4. Which is smaller: -8 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ayklhyddk. Give prob of sequence kya.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 259 is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 462 is divided by 55?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/4 in -0.1, 88, -3.5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 2*a**3 + a**2 - 4*a + 2. Is j(5) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3 + 5. Suppose -3*y + 5*p - 34 = 0, -2 = -s*y - p - 16. Let r = 11 + y. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -11579*m + 69459. Determine t(6).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hh when two letters picked without replacement from hhnhnnvncvhcvhhnnnh?\nAnswer: 7\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1675 is divided by 129.\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fifty-three fifths of a litre?\nAnswer: 10600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 6423090.4998825 - 6423080. Let a = -10.5 + h. What is a rounded to five decimal places?\nAnswer: -0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -256*g**2 - 260*g**2 + 517*g**2 - 4*g.\nAnswer: g**2 - 4*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 divided by 412.\nAnswer: -5\/412","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 16556, 33107, 49680, 66281, 82916, 99591?\nAnswer: 116312","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Is 158222263 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.6512807634 to four decimal places.\nAnswer: 0.6513","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -878, -1690, -2502, -3314, -4126?\nAnswer: -4938","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 102 = -24. Let o = 27 - t. Let w = o - -16. Does 4 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 1 v when two letters picked without replacement from {q: 2, v: 1, t: 8, m: 1, s: 4, c: 4}?\nAnswer: 2\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*u = 5*u + 309. Is u a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y, 1 e, 1 s, and 1 k when four letters picked without replacement from hkayakakeyaashahkhs.\nAnswer: 4\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (-649)\/3245*(-1)\/(-4)?\nAnswer: -1\/20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*d + 4*d - 4 + 1)*(6 - 6 + 3).\nAnswer: 3*d - 9","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6992.\nAnswer: 2, 19, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -21, -48, 41, 246?\nAnswer: 567","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2927 - 61436\/21. Find the common denominator of p and 23\/1358.\nAnswer: 4074","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6467*q - 1156*q = 38885 - 150416 for q.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**(2\/25)*(s*s**(-28)\/s*s)\/s assuming s is positive.\nAnswer: s**(-698\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48*h = -45*h + 4527. Suppose -2*y + 5351 - 1065 = 0. Let f = y + h. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -7\/13 (b) 0.4 (c) -3 (d) 15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 82193038 to the power of 1\/2, to the nearest integer?\nAnswer: 9066","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (-497)\/(-5467)*((-55)\/2)\/5?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -a + -2d8c?\nAnswer: -2d98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) be the first derivative of -g**6\/3 - 3*g**5\/10 + g**4\/3 + 4*g + 4. Let y(f) be the first derivative of m(f). Factor y(u).\nAnswer: -2*u**2*(u + 1)*(5*u - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 4*l + 56*l**2 - 48*l**2 - 6*l - 7*l + l**3. Let j be i(-9). Suppose j = 8*v - 145 - 223. What is the units digit of v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 23 - 32 - (-1 + 9 - 16). Let a be ((-8)\/(-108))\/((-2)\/1). Is d at least as big as a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = q**2 + 5*q - 18. Let o(k) = 1. Let b(a) = -h(a) - 4*o(a). Calculate b(-6).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 20303*v + 284200. Calculate w(-14).\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 50387 is divided by 26.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 252, 20, -35 in descending order.\nAnswer: 252, 20, 3, -35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -63*s**3 - 2*s**2 - s. Let o be y(-2). Suppose -k - 3*k - 163 = -g, -3*k = -3*g + o. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 85544.\nAnswer: 2, 17, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5\/2*79\/(-395)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*p - 2 + 1 + 6*p + (6*p + 14*p - 5*p)*(1 - 6 + 4) as i + h*p and give h.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:35 AM and 10:47 AM?\nAnswer: 132","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-1*sqrt(243) + 4)*-2 + (sqrt(243) - -2*(-2 + sqrt(243)) - 3*sqrt(243)*4))*2*-3)**2.\nAnswer: 54432*sqrt(3) + 433836","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 21153717821 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2\/(-4) + (-43)\/(-86). Suppose 7*m - 404 - 289 = u. List the prime factors of m.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*m**3 - 8109306*m**2 - 5480070316803*m.\nAnswer: -3*m*(m + 1351551)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*f + 2*f - 35. Let n be (-3)\/(-12) + (-86)\/(-8). Suppose -n - f = -j. What is the tens digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y - 37 = n, -6207 = 5*y + 14*n - 6206 for y.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2836 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -2900789 less than 323.472?\nAnswer: 2901112.472","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/4, -4, -11.542864 in decreasing order.\nAnswer: 1\/4, -4, -11.542864","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 2, 117, 9 in descending order.\nAnswer: 117, 9, 2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*d - 11 + 5 = 0 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*h + 3*w - 12, -5*h - 4*w - 147315 + 147308 = 0 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -1968, -4328, -6688, -9048, -11408, -13768?\n\"Answer: -2360*m + 392","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q = -0*q. Suppose q*z + 3*z - 9 = 0. Suppose j - 4*x + 0 = 4, 3*j = -3*x + 12. Which is smaller: j or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i - 3 = 2*i - 2*v, -1 = i - 3*v for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Total of -2 and -4692.\nAnswer: -4694","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-3)\/4*(-920)\/138. Find the second derivative of p - 39 - 2*c - 16 + 55*c**5 + 6 wrt c.\nAnswer: 1100*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1027699 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -2 - -2 - (0 - 3). Suppose k = 3 + d. Let p = -1 + 9. Calculate the least common multiple of p and k.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-7)\/((-1 - -1) + -1). Suppose -2*f + 3 = -f. Solve 4*y - 4*q = -4, -3*q = -y - f*y - u for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35 - 32 = 3*p. Let g = -35 + 34.26. Let v = g + 0.44. Sort -5, 1\/3, p, v.\nAnswer: -5, v, 1\/3, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-260)\/390)\/((-8)\/(-42)).\nAnswer: -7\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*x**4\/4 + 2121*x**3\/8 + 345*x**2\/2 - 43875*x\/8 = 0. Calculate x.\nAnswer: -117, -5, 0, 25\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -148*k + 12. Let x(c) = -c - 4. Let p(d) = b(d) + 3*x(d). Let q(u) = -2*u. Give q(p(s)).\nAnswer: 302*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -30 + 16. Let v = -11 - y. Let c = 51.27 + -51.47. Put 10, v, c in descending order.\nAnswer: 10, v, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*p + p + 8*p + (-5 + 0 - 1)*(-2*p + 3*p + 0*p) + 4*p + 0*p - 5*p + (-p + p + p)*(1 + 3 - 2) + 2*p - 1 + 1.\nAnswer: p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i - i = -22. Is (((-16731)\/i)\/(-13))\/((-1)\/(-2)) a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -318 - 6?\nAnswer: -324","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3349 - -3344. Is a less than -33?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -a**3 + 4*a**2 + 11*a - 6. Let n = 69 + -55. Suppose n*v = 17*v - 15. List the prime factors of z(v).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 225 + -225.1. Which is the closest to -2? (a) 1.2 (b) q (c) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -283926.3617 plus -0.3?\nAnswer: -283926.6617","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from asss. Give prob of picking 2 s.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 52*a**2 + 6*a**2 - 50*a**2 + 31*a to f + k*a + x*a**2 and give k.\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10)\/(-150)*10*18\/16.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4874 - 2307. What is the units digit of z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 205\/13 + 19257\/637 + -30\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -231311223 (base 5) to base 8\nAnswer: -3762036","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -27a785 - 37?\nAnswer: -27a800","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5 - -3. Let r be 51\/12 + m\/8. Solve -r*b + b = 2*n - 8, -3*b - 8 = -2*n for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 194138 at least 194139?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 218, -1, 0, -4, 4 in decreasing order.\nAnswer: 218, 4, 0, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(52)\/sqrt(4) + 0)**2*-3.\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 8139342 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 2173 - 3438 = -5*i, 4185 = 3*z - 4*i. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -10, -4\/7, -7?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*w**2\/4 - 140190*w - 1682325\/4.\nAnswer: 5*(w - 112155)*(w + 3)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide ((-5610)\/75)\/2*5\/(-1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-130 + 77*v + 130)*(2 + 1 + 4 + (1 + 1 + 0)*(-33 + 2 - 5)) to i*v + h and give i.\nAnswer: -5005","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -23110124 (base 5) to base 4\nAnswer: -302201002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8842019 is divided by 1049.\nAnswer: 1047","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bvvv when four letters picked without replacement from {v: 5, b: 2}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 13*l*u**2 + 2311163*l + 15*u**2 + 1753*u wrt u?\nAnswer: 26*l*u + 30*u + 1753","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 23\/42 and (-3)\/(-12) - (-1015)\/(-196)?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 24\/15 - (-4)\/10. Suppose 0 = -2*v + 4*w, v - 5 = -y*v + w. Suppose 0*x**4 + 0*x**v + 0*x + 0*x**3 - 2\/3*x**5 + 0 = 0. Calculate x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 91 minutes before 3:55 AM?\nAnswer: 2:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 90 a factor of 147420?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 386443157 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 7\/5 in 0, -5, 2, -15?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, 4, -1\/2.\nAnswer: -1\/2, 4, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4888235 is divided by 376018.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 1 = j. Let q(v) = 12*v**3 - v + 27 + 2*v**2 - 26 - v. Is q(j) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -147792, -147799, -147806, -147813?\nAnswer: -147820","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 837?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 19 - 16. Let s be c - 0\/(-3 + -1). Suppose s*d - 38 = -5*u + 145, 0 = u - 3*d - 51. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -l**5 - l**3 + l**2 + 1. Let s(y) = -y**5 + 6*y**4 - 3*y**3 - 13*y + 3. Let d(a) = -s(a) + 3*v(a). What is the third derivative of d(x) wrt x?\nAnswer: -120*x**2 - 144*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -28 - -29. Let w be -3*n\/3 + 7. Solve w*f - f - 15 = 0 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -f + 6. Let b be w(3). Is 9 a factor of (-9)\/(b\/(-3))*1?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 173448214?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 18, -141, -493?\nAnswer: -493","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kkfq when four letters picked without replacement from kkfkkpkdpdpdfqpd.\nAnswer: 1\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.0022, 0.879, 4, -0.3, -0.4, -1?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 15895023189 and 0.243?\nAnswer: 15895023188.757","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -20*g**2 + 20*g + 14. Let y(x) = -7*x**2 + 7*x + 5. Let b = 47 - 52. Calculate b*u(o) + 14*y(o).\nAnswer: 2*o**2 - 2*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*1*(-11)\/(-880)*10.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00002155172888 rounded to six dps?\nAnswer: -0.000022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -31 - 30 - 297*i + 61 + 2*i**2 in the form n + d*i**2 + t*i and give t.\nAnswer: -297","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -i**2 + 2*i. Let w be g(3). Let h be -2*w\/(-6)*-9. Calculate the highest common divisor of 81 and h.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 759 = 269*x + 6408 for x.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express 9 + 17*y**2 - 3 + 39 - 19*y**2 as k*y**2 + j*y + q and give k.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 15201 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -z**3 - 2*z**2 + 5*z - 2. Let m be w(-6). Suppose 3*g + 69*j - 68*j = 49, 0 = -4*g + 3*j + 61. Calculate the greatest common factor of g and m.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -652720 - 432*o**3 + 652720.\nAnswer: -432*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -i - 13. Let v be m(-15). Suppose 8*x - 420 = v*x. Calculate the greatest common factor of x and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7 (base 16) to base 4\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ly when two letters picked without replacement from {q: 1, y: 2, s: 1, l: 4, k: 3, a: 1}.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 488 - 88349274868?\nAnswer: -88349274380","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c - c = -4, 44 = -4*y - 3*c. Let k(x) = x**3 + 15*x**2 + 14*x + 2. Let p be k(y). Solve 20 = -5*g + p*s, -s = 3*g - 5*s + 26 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -6*z**2. Let k(v) = -9*v + 2. Give h(k(t)).\nAnswer: -486*t**2 + 216*t - 24","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -7 * 19.17\nAnswer: -134.19","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*p**2\/3 - 41953344*p.\nAnswer: -4*p*(p + 31465008)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 19184 and 22345?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2.58 + -690.\nAnswer: -687.42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-21)\/(-6) + -1)*2. Let c = -2 + q. Suppose -c*f = 15, 21 = 3*u - 5*f - 28. What is the units digit of u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 5\/2*-1*-6. Suppose -v + 4*t + 3 = -0*t, -5*v - 2*t + x = 0. Find the third derivative of -2*j**v - j**2 + 2*j**3 + j**4 wrt j.\nAnswer: 24*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1.96 - -0.04. Let h = -0.1 - 0.3. Which is the biggest value? (a) h (b) u (c) -4\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 94*x + 566 + 1949 + 2896 = 1087 for x.\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Determine d, given that 3*d**3 + 264*d**2 + 6243*d + 24990 = 0.\nAnswer: -49, -34, -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 16, 128, 0.03, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rn when two letters picked without replacement from {i: 1, q: 3, y: 2, b: 3, n: 1, r: 1}?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 4036 to the power of 1\/2, to the nearest integer?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*x - 47 = -11 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 22843084 to the power of 1\/2, to the nearest integer?\nAnswer: 4779","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is o in -o**4\/8 - 7601*o**3\/8 + 3759741*o**2\/4 = 0?\nAnswer: -8487, 0, 886","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -7820, -15635, -23442, -31235, -39008, -46755, -54470?\nAnswer: -62147","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -430*o + 45*o**3 - 76*o**3 + 2 - 19*o**3 + 430*o.\nAnswer: -50*o**3 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 1775*w - 6. Let u(q) = 94*q + 2. Determine u(r(v)).\nAnswer: 166850*v - 562","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 10463999753 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = z**2 - 8*z - 20. Let v be p(9). Let y = v - -14. Suppose 0 = -3*s + 5*h + 20, y*s + h + 8 = 4*s. Calculate the highest common divisor of s and 15.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*j = -683*w + 686*w - 24, 38 = 11*w + 2*j for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 57725.\nAnswer: 5, 2309","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2958 + 1753. List the prime factors of (-14)\/56 - x\/4.\nAnswer: 7, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -b - 17. Let v be j(-20). Let m be v*8\/(-6) - -8. What is the units digit of (310\/m - -2)*(-4)\/(-3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -308\/724105 greater than or equal to -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5 - 0. Suppose -2*g + 80 = -3*v, -5*v - 4*g = -g + 165. Let d be (36\/v)\/((-4)\/10). Sort d, 4, p in decreasing order.\nAnswer: p, 4, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 945533619\/40652680 + -152953\/4835. Let g = 3\/805 + -15027\/3384220. Let h = p - g. Calculate the common denominator of h and -57\/2.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -4 and -96348.\nAnswer: 385392","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12\/(-5)*35*(-25)\/525?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 33 and 41356018?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 98*b - 619. Determine h(6).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3673242576?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Determine y, given that -2*y**2 + 1388*y + 21270 = 0.\nAnswer: -15, 709","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 6 + 2 = 0. Let m = 2 + r. Suppose b - m = -1. What is the units digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*x - 2*i - 9, -9 = -2*x + x - 2*i. Let q(h) = 57 + 35*h**x - 2*h**2 + 0*h - 55 - h. What is the units digit of q(1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 5256 + 3?\nAnswer: 5262","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -363 + 177. Let m = 329 + z. List the prime factors of m.\nAnswer: 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 7*j - 1. Suppose 4*m + 5*t = 22 + 1, -3*t + 19 = 5*m. Let d be (-10 - -4)*(-1)\/m. What are the prime factors of o(d)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a decade in months?\nAnswer: 24","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2252*v - 5265.\nAnswer: 2252","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 18\/13? (a) -4\/21 (b) -3 (c) 3 (d) 1 (e) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -b*s**2 + 6*b*s + 114540*b + 66*s**4 + 7*s wrt s?\nAnswer: -2*b*s + 6*b + 264*s**3 + 7","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 33\/21 - 6\/(-14). Suppose 3*h - 3 = f*h. Suppose h*k + 30 = 5*k. What is k rounded to the nearest ten?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 5*o - 3. Let i be k(1). Suppose 2*v = 14 + i. Put -1\/4, v, 0.1 in increasing order.\nAnswer: -1\/4, 0.1, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2731910118?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -63577, -3 in ascending order.\nAnswer: -63577, -3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10303 is divided by 33.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 30.4 + -25. Let s = 9.4 - j. Which is the third biggest value? (a) 6 (b) s (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -34 + 233?\nAnswer: 1dd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (1\/(-5) - -1)\/(46\/115). Let h(d) = 8*d - 20. Let k be h(4). Solve 4*f - 4*g + k = 0, -t*g - 2 = f + f for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -5503 - -10675. What are the prime factors of a?\nAnswer: 2, 3, 431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = a - 15. Determine g(9).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 332510201 + -230?\nAnswer: 332505531","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 10*g**2 - 10*g + 23. What is the tens digit of x(-6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-6)\/(-4))\/(6\/(-8)). Let a = y - -2. Let m be -2 - (a - (1 + 1)). Solve m*i + d + 9 = -i, -4*d - 41 = 5*i for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 216 = 6*h - 324. Calculate the common denominator of (-3)\/30*125\/h and 103\/36.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1468021.306 to the nearest 10000.\nAnswer: -1470000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Determine r so that -r**3\/3 + 8446*r**2 - 53093475*r - 5175106848 = 0.\nAnswer: -96, 12717","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 8 + -3. Let u(b) = b**3 + 5*b**2 + 3*b - 1. Calculate the remainder when u(-3) is divided by m.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 2*o + 29. Let p be u(-12). Let h(w) = 3*w + 4. Let t(y) = -1 + 5*y - 2*y - 2*y + 3. Determine p*t(x) - 2*h(x).\nAnswer: -x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 707331337 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(-5 + -6*3*sqrt(300) - ((sqrt(300) - (sqrt(300) + 0)) + 4)*-3))**2.\nAnswer: -63000*sqrt(3) + 2431225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:43 PM and 8:39 PM?\nAnswer: 56","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 0 + 253c?\nAnswer: 253c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5512530 and 1590?\nAnswer: 1590","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5944206 is divided by 2972101?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(130)\/(sqrt(10) - sqrt(40)\/(-1*sqrt(4))))**2.\nAnswer: 13\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -94 + 136. Let p = 2306 - 2282. Calculate the least common multiple of o and p.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve 12*s = -213 + 81 for s.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (5\/4)\/((-87)\/(-120) - (-36)\/(-60))?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 265 divide 7746?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -113512\/343617 + 10\/2437. Find the common denominator of d and 145\/6.\nAnswer: 282","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*o + 227 = -31. What is the remainder when 128 is divided by o?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -3*s + 5*s - 2*s + 3*s. Let z(u) be the second derivative of -u**4\/8 - 7*u**2\/2 - 6*u. Let l(q) be the first derivative of z(q). Calculate c(l(x)).\nAnswer: -9*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -184189, -736746, -1657669, -2946958?\nAnswer: -4604613","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:09 PM and 11:00 PM?\nAnswer: 291","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f + f = 4*r - 108, 2*f + 124 + 394 = -3*r + 21*r for r.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is (-952)\/(-5) + (-27)\/(-45) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -1052*s + 147. What is n(1)?\nAnswer: -905","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -5717*u**3 - 6510*u**3 + 11168*u**3 + (2*u**2 - u**2 + u**2)*(5*u + 0*u - 3*u) as z*u**2 + f*u**3 + t + a*u and give f.\nAnswer: -1055","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 2 = -4*g + 8, 3*g - 9 = -b. Suppose 0 = b*i - 184 - 830. Calculate the remainder when i is divided by 58.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 348*s**2 + 4*s - 13*s - s**4 - 351*s**2 to the form q*s**2 + x + y*s + h*s**3 + f*s**4 and give q.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 62*k*t**4*u**2 - 58*k*t**2*u**2 + 2*k*t*u - 3*k*t + 2*k*u + 3*u**2 - u wrt t?\nAnswer: 744*k*t**2*u**2 - 116*k*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -h**3 + 3*h**2 + 11*h - 9. Suppose 937 = 20*v + 857. What is s(v)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 23289?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -n**2 - 1. Let r = 7 + -5. Suppose -4*u + 3*u = -2, 2*z = r*u + 4. Suppose -5*t - 4*y = -9, 0*y - 2 = -z*t + 2*y. Give s(t).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9300600 divided by -24\nAnswer: -387525","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -57 + 23140?\nAnswer: 23072","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 202 + 5?\nAnswer: 207","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -3, 10, -11\/5?\nAnswer: -11\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 3, -0.06, 16, -3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -52525 (base 6) in base 8?\nAnswer: -15705","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1623 - 1605. Solve -5*b - 25 = -u, -5*b - 7 = y for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -248*z - 1004 = 1967 + 501 for z.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 4342*l**2 - 22*l + 21. What is the thousands digit of s(1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 337494796*b**4 + 236107508*b**2?\nAnswer: 8099875104*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(2\/23)*r\/(r\/r**(-9)))\/(r**(-5\/2))**(-15) assuming r is positive.\nAnswer: r**(-2135\/46)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*-2*sqrt(1088) + -1 - (sqrt(1088) + sqrt(1088)*1*-1 + 0))**2.\nAnswer: -160*sqrt(17) + 108801","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**2*n\/(n\/n**(-1\/2)))**44\/(n**(-50)*n**(3\/8)*n*(n\/(n**(3\/5)*n))\/n) assuming n is positive.\nAnswer: n**(4649\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Let i = -1799138 - -5397415\/3. Factor 6724\/3 + i*j**2 + 164\/3*j.\nAnswer: (j + 82)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:06 AM and 8:17 AM?\nAnswer: 371","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -m**3 - 21*m**2 - 16*m - 47. Let x be t(-20). Let u = x - -56. Let b = u + 108. What are the prime factors of b?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1185 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1357 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -59, -62, -65, -68?\n\"Answer: -3*n - 56","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 at most 50\/13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 6186371491 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 21222022 + -1020?\nAnswer: 21221002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(2 + (1 + sqrt(171))**2) + 5 + sqrt(209)\/(sqrt(176)*2 - sqrt(176)).\nAnswer: 25*sqrt(19)\/4 + 179","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 42 and 4127658.\nAnswer: 28893606","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 3 - -46?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 17*d**2 - 7*d + 5. Let f be 1 + 3 + -6 + 12. Let w(k) = k**2 + 1. Let n(v) = f*w(v) - 2*m(v). Let t(s) = -5*s**2 + 3*s. Give 3*n(j) - 14*t(j).\nAnswer: -2*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1223102 to the power of 1\/2, to the nearest integer?\nAnswer: 1106","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1944 - 486420.3.\nAnswer: -488364.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -q**2 - 2*q. Let p(g) = 3*g**2 + 7*g. Suppose 5*j = 10, -22 = 4*z - 2*j - j. Give z*p(n) - 14*k(n).\nAnswer: 2*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2 + 6. Let x = 13 - 8. Suppose -3*v + 5*k = -18 - 12, -15 = x*k. Solve -d*t + v - 13 = 0 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -2 + 9769062?\nAnswer: 9769060","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/3 in -1\/6, 1\/130, -79, -3, 5?\nAnswer: 1\/130","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 48*s**5 + 8647*s**4 + 2*s**2 + 11965603*s?\nAnswer: 960*s**3 + 103764*s**2 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -288*c**2 + 154*c**2 + 419*c**2 - 285*c**2 - 9*c**3.\nAnswer: -9*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 3\/7 (b) -1688 (c) -0.4 (d) -2 (e) 5\/4 (f) -0.1 (g) -1\/3\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 276547 is divided by 55308.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express (g**3 + 2*g**3 - 5*g**3)*(-41 + 41 + 51*g) - g**4 - g**4 + g**4 in the form c*g + x*g**3 + q*g**2 + j*g**4 + a and give j.\nAnswer: -103","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -4*j + 115. Determine n(17).\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (9\/15)\/((-12)\/(-40)). Let b(x) = -4*x + 8. Let q be b(c). Solve 2*k - 4*k = 4*y, q = k + 4 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12\/(-20)*(-10)\/(-2)*429\/572.\nAnswer: -9\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -309260.09 - -4781.09. Let g = -304491.99985 - w. Let r = g + 13. Round r to 5 dps.\nAnswer: 0.00015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 15 + -11. Suppose -2*b + 2 = -o. Find the second derivative of -5*w + 55*w**2 + 6*w**b - 55*w**2 wrt w.\nAnswer: 36*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -104*v + 409. Determine b(4).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -2*g + 18. Let y be p(-21). Suppose 0 = b - 4. What is the remainder when (y\/(-50))\/(1 + 6\/(-5)) is divided by b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -137\/108 and -49\/132.\nAnswer: 1188","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(-1 + (-1*sqrt(128)*1 - ((2 + sqrt(128) + 1)**2 + sqrt(128)))) + 2.\nAnswer: 64*sqrt(2) + 140","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 2, m: 5, w: 4, i: 4}. What is prob of sequence wwhh?\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 597 minutes after 9:41 AM?\nAnswer: 7:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -16681 - -16680. Let g(m) = 3*m**2 - 2*m + 2. Suppose 6*x - 8 = 2*x. Let q(k) = k**2 - k + 1. Give x*q(w) + y*g(w).\nAnswer: -w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10111101001000100 - 111010?\nAnswer: 10111101000001010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3431595 to the nearest integer?\nAnswer: 1852","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Add together -54.39 and -17456765476.\nAnswer: -17456765530.39","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 9 + (0 - 5) - 8\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -3*u**2 - 2*u + 6. Let d(w) = -4*w**2 - 2*w + 7. Let a(k) = 4*d(k) - 5*z(k). Let f(n) = 9*n**2 - 17*n + 17. Give -51*a(p) - 6*f(p).\nAnswer: -3*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 5*m - 4 - 1 = 0, 2*m = 4. Solve -2 = -f*h - 5 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -2*c - 0. Factor c*u**2 - 9 + u - 5*u**2 - u - 12*u.\nAnswer: -3*(u + 1)*(u + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -90074, -359787, -809278, -1438547, -2247594, -3236419?\n\"Answer: -89889*p**2 - 46*p - 139","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 7.08 - 0.08. What is the biggest value in m, -3\/5, 2\/5?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) be the second derivative of -1\/30*w**4 + 0*w**2 + 0*w**3 + 1\/100*w**5 + 0 - 6*w. Factor k(u).\nAnswer: u**2*(u - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -5, 4, -19 in decreasing order.\nAnswer: 4, 0, -5, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 less than -36769738224?\nAnswer: -36769738227","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 3*u**2 + 231*u - 422. Calculate h(-78).\nAnswer: -188","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g**4\/3 - 10*g**3 + 4*g**2\/3 + 40*g = 0. What is g?\nAnswer: -30, -2, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -5350, 143, 5 in increasing order.\nAnswer: -5350, 5, 143","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -z**2 - 11. Let n be w(0). Let k = n + 23. Let b(f) = f**2 - f + 2. What is the remainder when b(-4) is divided by k?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 488478 = 488471?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate a*i**2*v*w**2 - 32*a*i**2*v*w + 2*a*i*w - 2*a*w**2 - i**2*w**2 + 7*i**2*w with respect to v.\nAnswer: a*i**2*w**2 - 32*a*i**2*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1 + a4?\nAnswer: a5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -74*p - 1037. Determine v(-14).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -273355 + -1?\nAnswer: -273356","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 150 = -2*o - 90. Let f be (-8)\/o - (-3)\/5. Which is smaller: -2\/13 or f?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4703611?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*x + 521 - 21. Suppose 3*u = -3*c + 4*u + x, -2*u - 90 = -c. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4265 is divided by 608.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -145 + 185. Suppose -g*o + 80 = -30*o. What is the highest common factor of 24 and o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 20683 and 10492?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 113288496?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*k + 8*k - p = 257, -5*k - p + 646 = 0. Which is smaller: k or 130?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5? (a) -0.2 (b) -22 (c) 549\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 7054241 = 7054240?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 33 + -1 - (-199 + 234 - 1).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor l**4 - 29468*l**3 - 737351*l**2 + 766818*l.\nAnswer: l*(l - 29493)*(l - 1)*(l + 26)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 182 = -2*q + a, 0 = -4*q - 4*a + 172. Suppose 9*w = 4*w + q. Calculate the smallest common multiple of 3 and w.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 222953, 445907, 668861, 891815, 1114769, 1337723?\nAnswer: 1560677","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -2*o - 8. Let q be h(4). Let j = 49 + -58. Let r = j - q. Calculate the smallest common multiple of 19 and r.\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 646 = q, -3*q + 2*y - 4*y + 1918 = 0. Find the common denominator of (-20)\/(-25) + (q\/15)\/4 and ((-18)\/(-14) - 0) + -2.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -m + k, -5*m - 4*k - 2 = 4. Suppose 0*n + 94 = m*n. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -c - 1. Let l be t(-1). Suppose 55 = 4*i - l*s - s, -4*i - 3*s = -75. Solve -2*q - q = -i for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*j - 21*j = 0. Suppose 5*f - 43 = -t, j = 5*t + 5*f - 173 + 58. What is the remainder when 70 is divided by t?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**0*u\/(u**7\/u)*u\/u**1*u*u*((u*u*(u\/(u**(-2)\/u))\/u)\/u)\/u*u*u)**(-11))**4 assuming u is positive.\nAnswer: u**(-88)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 59007*h**3 - 979*h - 979. Let m(z) = 362*z**3 - 6*z - 6. What is -6*i(d) + 979*m(d)?\nAnswer: 356*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.1 or 1635221?\nAnswer: 1635221","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 6, 7, 8, 9?\n\"Answer: i + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -482*p = -474*p - 48. Solve 0 = -p*m - 14 - 10 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 6\/4*-134 + -3. Let m = 193 + s. Which is the nearest to 2\/9? (a) m (b) -4\/5 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 + 28 = -4*p. Let c(s) = s**3 - 27*s**2 + 9*s - 4. Let j(l) = 13*l**2 - 4*l + 2. Let r(t) = -6*c(t) - 13*j(t). Is r(p) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 89.61 + -89.73. Sort 2, -5\/7, 0.2, a, -2 in ascending order.\nAnswer: -2, -5\/7, a, 0.2, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 0 - 3555269?\nAnswer: -3555269","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2\/10443 + -929447\/104430. Find the common denominator of (-36)\/24*31\/(-21) and b.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*v + 0*v = 42. Let u be 1*(-1 - (4 - v)). Calculate the highest common factor of 10 and u.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) be the first derivative of f**6\/45 - f**5\/6 + f**4\/2 - 7*f**3\/9 + 2*f**2\/3 + 12*f - 7. Let o(p) be the first derivative of t(p). Factor o(g).\nAnswer: 2*(g - 2)*(g - 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 2*m**2 - m**2 + m**2 - 2*m - 2*m**3 + 4*m**3. Let p be h(-2). Let x(z) = 3*z - 2. Let y(o) = 5*o - 3. Calculate p*y(v) + 7*x(v).\nAnswer: v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 3 + -5 + 15 - 11. Let y = -12 - -17. What is the third derivative of -13*s**y + 14*s**u + 30*s**5 + 6*s**5 wrt s?\nAnswer: 1380*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 7\/180 and -169\/7560.\nAnswer: 7560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -13*d**5 - 2*d**4 - 4*d**3 - 2*d**2 + 66*d. Let j(u) = u**4 + 2*u**3 + u. Let n(l) = -g(l) - 2*j(l). What is the second derivative of n(z) wrt z?\nAnswer: 260*z**3 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3945?\nAnswer: 3, 5, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-3)\/(-12) + 690\/24. Let p = 47 - o. Calculate the highest common divisor of p and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*o - 3*o + o)*(-157*o**2 + 326*o - 326*o) as y*o**2 + f*o + u + n*o**3 and give n.\nAnswer: -157","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 177503 and 952?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 610 minutes after 7:41 PM?\nAnswer: 5:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -110, -416, -926, -1640, -2558, -3680, -5006?\n\"Answer: -102*g**2 - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 2*r + 15. Let c(o) = -o**2 - 7 - o - 15*o + 4*o. Calculate the remainder when c(r) is divided by 15.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 46543922 to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 105 divided by -21?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27 = 4*f + 3215. Let p = f - -1354. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/11)\/((-148)\/(-407)).\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 636 and 42?\nAnswer: 4452","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 98 minutes before 12:11 AM?\nAnswer: 10:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i**5\/7 + 220*i**4\/7 + 701*i**3\/7 + 64*i**2\/7 - 60*i = 0 for i.\nAnswer: -70, -3, -1, 0, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y = -z + 24, y + 4*z - 21 = -4*y. Suppose -y*a = 41 + 24. Let b = a - -20. What is the units digit of b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -4*z**2. Let a(q) = 42138201*q**2. Calculate l(a(o)).\nAnswer: -7102511934065604*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 51*r - 119. Determine t(2).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 4568574, 4568606, 4568638, 4568670, 4568702?\n\"Answer: 32*w + 4568542","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.5 and -0.02035.\nAnswer: 0.47965","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) be the third derivative of -h**6\/120 + h**5\/12 + h**4\/6 - h**2. Let u(q) = q**3 - 2*q**2 - q - 1. Let a be u(3). Is o(a) a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-1\/4)*u\/u**(2\/19))\/(u**(-3\/11)\/u)**(-2\/15) assuming u is positive.\nAnswer: u**(5957\/12540)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 2680661 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) be the third derivative of -1\/210*f**7 + 3\/20*f**5 + 0 - 1\/120*f**6 + 22*f**2 + 0*f + 2\/3*f**3 - 11\/24*f**4. Let l(p) = 0. Calculate p.\nAnswer: -4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x - f = -19, 3*x + f = 3*f + 17. Let y be 168 + (1 + 0 - 3). Let r = y - x. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 99916500 divided by -14750.\nAnswer: -6774","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*b + 0*b - 31*b + b + 30*b.\nAnswer: -5*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide 613162016 by -32.\nAnswer: -19161313","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1 - -4)*(-2)\/3. Let p be j\/(-8) + 11\/4. Suppose p*i - 31 = -2*z, -2*i - 4*z + 41 = i. Which is greater: i or 6?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 221.74 - 223.74. Suppose 2*p - 25 = 6*n - n, n + 28 = 5*p. Suppose 3*y + 4 = p*y. What is the closest to r in -3, y, -1\/3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 88, 2, -4.42, -1\/9?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(-11)\/((g\/(g**(6\/7)\/g))\/g))**(-5))**(-2\/175) assuming g is positive.\nAnswer: g**(-156\/245)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -484 - -359 - (-13 - 48)\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -w**3 + 19*w**2 + 3*w + 22. What is i(19)?\nAnswer: 79","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2858, 5913, 8948, 11951, 14910?\nAnswer: 17813","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -169613*y**3 + 84800*y**3 - 2379 + 405*y**4 - y**2 + 84811*y**3 wrt y.\nAnswer: 9720*y - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) be the third derivative of -41*f**4\/24 - 70*f**3\/3 + 34*f**2 - 2*f. Let l be y(-5). Calculate the highest common divisor of l and 65.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21913 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: List the prime factors of 54419.\nAnswer: 54419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + 5*d = d - 88, d - 88 = 2*z. Let k = -42 - z. Factor 7*c**2 + 8*c**2 - 17*c**k.\nAnswer: -2*c**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t*((t\/(t*t*t**(2\/3)))\/t)\/t*t*t**(-9\/7) assuming t is positive.\nAnswer: t**(-62\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Add 13.5 and 440392.\nAnswer: 440405.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2\/5 (b) 0.07 (c) 5 (d) -0.7 (e) 2\/15 (f) -18532\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 220566613 a multiple of 948?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 8*u - 44. Let r be p(6). Suppose -z + 3*z - 3*i = 690, r*z - 1380 = i. Does 15 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = l, 2*g + 2*l - 20 = -2*l. Find the second derivative of 382 + 11*v**g - 382 + 39*v wrt v.\nAnswer: 132*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -41\/18530 and 119\/2180?\nAnswer: 37060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1203006666 to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:06 PM and 2:20 AM?\nAnswer: 194","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -949 - -664. Let a = 501 + m. What is the hundreds digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u = 27 - 2. Suppose -u*f + 2*d + 41 = 0, 4*d - 17 = -0*f - f. Is 2 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -o**2. Let g(v) be the third derivative of -2*v**5\/15 - 5*v**2. Give g(u(j)).\nAnswer: -8*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1307174 divided by 2.\nAnswer: 653587","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*h + 7*h. Let l be (h + -166)\/(15\/(-750000)). What is l rounded to the nearest one million?\nAnswer: 8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = a**2 - 13*a - 18. Let w be m(14). Let i(j) = j. Let p(v) = -1 - 5*v + 2*v - 2*v - 2. Let z(d) = -3*i(d) - p(d). Give z(w).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 398 = 3*o - 118. Suppose -4*b + 188 = -o. Let w(n) = n**2 - n + 10. Let s be w(0). Calculate the greatest common divisor of s and b.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000964334 rounded to 7 decimal places?\nAnswer: 0.0000096","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 71893 is divided by 206?\nAnswer: 205","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n = n. Suppose n = g - o - 11, 2*g = -2*o + 30 - 4. What is the units digit of (-3)\/g + 505\/20?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*l - 2*r + 8 = 4*l, -5*l = -4*r + 10 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) be the second derivative of -w**7\/3780 + 2*w**6\/45 - 16*w**5\/5 - 11*w**4\/4 - 22*w + 1. Let t(g) be the third derivative of o(g). Factor t(x).\nAnswer: -2*(x - 24)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 141224?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) be the third derivative of 5*h**8\/728 - 4*h**7\/1365 + 160*h**2. Let g(s) = 0. What is s?\nAnswer: 0, 4\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 2*i + 17. Let c(g) = 420*g**2. Give c(f(p)).\nAnswer: 1680*p**2 + 28560*p + 121380","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 2, b: 1, q: 2, f: 1, e: 4}. Give prob of sequence fe.\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -61 (b) -0.64713 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*z + 2*i - 4*i - 45, 0 = 3*i. Solve z*u - 4*u + 11 = 0 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -0.11, -2, -0.2?\nAnswer: -0.11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*j - 1323 + 1395 = 0 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 165780506?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*q = q - 27. Let o be (8\/(-3))\/((-1)\/(24\/(-16))). Which is the closest to 3\/4? (a) o (b) -5 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -r**3 - 8*r**2 - 4*r - 6. Let v be (132\/(-18))\/((-2)\/(-3)). Is w(v) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -s - 3*s + 56. Let q = -4 - -4. Suppose q*r = r - 41. Calculate the remainder when r is divided by s.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -b**3 + 7*b**2 - 4*b - 16. Let s be h(7). Let f = s + 76. Find the common denominator of f and 75\/8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (1\/(-3))\/((-1)\/12). Suppose 0 = -3*h + 12, -s*v - h + 1 = -3. Suppose 5*m + 0*m - 15 = v. Solve 0*c + 6 = -m*c for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2670, 3857, 5044, 6231?\nAnswer: 7418","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 71 = -m, -m + 3*s = 7*s - 67. Is 21 a factor of -2 + -2 + m\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4808*k**3 - 2121*k**3 - 997*k**2 - 1110*k**3 wrt k.\nAnswer: 9462","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence au when two letters picked without replacement from dduddudddddaudduduu?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -31*s**2 - 13. Let n(h) = 16*h**2 + 7. What is -6*l(w) - 11*n(w)?\nAnswer: 10*w**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -1185, -802, -157, 756, 1943, 3410, 5163, 7208?\n\"Answer: l**3 + 125*l**2 + l - 1312","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 t and 1 j when four letters picked without replacement from jjjjtjttjj.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 682 and 620?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 4 + 8)*(-1 - 1 + 0)*(m - m - m).\nAnswer: 6*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -5\/4 (b) 5 (c) -2\/5 (d) -22 (e) 7.6 (f) -2\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -4*j**2 + 14*j + 18. Let q(p) = p + 1. Let w(t) = -3*t + 23. Let r be w(8). Let l(a) = r*y(a) - 2*q(a). Factor l(n).\nAnswer: 4*(n - 5)*(n + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 142768055?\nAnswer: 5, 28553611","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 24 + 8?\nAnswer: 2c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -342.5 rounded to the nearest ten?\nAnswer: -340","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/5*1)\/(33\/55)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 287582 a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 71\/1232 and -41\/80?\nAnswer: 6160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) be the second derivative of -7691*s**6\/15 - s**4\/12 - 485*s**3\/3 - 5*s**2\/2 - 935*s + 8. Find the third derivative of j(i) wrt i.\nAnswer: -369168*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -20 divided by 9160586?\nAnswer: -10\/4580293","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -185 - 90 = -5*i. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand k**2 + 1 - 1 - 2 + 4*k**2 + 33 - 33 + (5*k - 4*k + k)*(-2*k - 2*k + 5*k).\nAnswer: 7*k**2 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 152 + (-166 - -96 - -14).\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 103 + 4?\nAnswer: 111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -9 or 24191048?\nAnswer: 24191048","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*i**3*o + 853*i**3 - i**2*o - 8*i**2 + 10*i*o - 3*i - 2*o + 2809 wrt i?\nAnswer: -12*i*o + 5118*i - 2*o - 16","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1304819874?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1.89 - -0.11. Put w, -2, -3 in increasing order.\nAnswer: -3, -2, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 27*j**4 + 6*j**5 + j**3 - 17*j**4 - 15*j**3 - 8*j**5 + 6*j**2.\nAnswer: -2*j**2*(j - 3)*(j - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 229578.4mg to nanograms.\nAnswer: 229578400000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*u + 3*u - 33. Let q be (-2)\/9 - u\/(-27). Calculate the lowest common multiple of 16 and 10\/(-2)*-1 + q.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 14919812?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j - c = -228, 0 = -4*j + 47*c - 43*c + 168. Solve 3*q + j = 7*q - 5*t, 0 = 2*q + 3*t + 5 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/40 of a litre?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -52 - -56. Let a = 0 - -3. Find the third derivative of 6*n**4 - a*n**l + 3*n**2 - 5*n**2 wrt n.\nAnswer: 72*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 2 + 6 = 0, l + 5*p = -3. Let n(b) = 6 + 2*b + 5*b - 3*b + b**l. List the prime factors of n(-4).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6030 is divided by 1050?\nAnswer: 780","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 3 = -3. Suppose -5*w = -q + 21 + 29, -5*q = -x*w - 135. What is the second derivative of -q*o - 8*o**5 + 2*o**5 - 7*o**5 wrt o?\nAnswer: -260*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -6*g - 11. Let y be b(-4). Suppose 0 = 3*s - 4*m + 17893, -y = -3*m - 1. Let j = -15459 - s. Round j to the nearest 1000.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 56*w + 45 = 47*w for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 262 + 886 = 69*i - 1065 - 64 for i.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) be the third derivative of -j**5\/60 - 5*j**4\/3 - 13*j**3\/2 - 21*j**2. Is 12 a factor of r(-37)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Work out 0.12 * 2776.\nAnswer: 333.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -40 or 301\/3?\nAnswer: 301\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y + 1339 - 1327 = 0, 5*a - 3*y - 37 = 0 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 299450 to the nearest integer?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tottooootoooooooot. What is prob of sequence ttoo?\nAnswer: 13\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*s = -20*s + 7 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00002282559 rounded to six decimal places?\nAnswer: 0.000023","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = p**3 - 6*p**2 + 7*p - 4. Let q be u(5). Suppose 20 = q*j - j. Calculate the least common multiple of 4\/10 - 66\/(-10) and j.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s = -2*s - 16. Let h be (-2)\/s + 12\/8. Suppose 0 = -2*j + 4*m - 4, 4*j - 4*m = 3*j - 12. Solve 0 = 3*o, 3*x + o + j = h for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -s**2\/4 + 482*s - 40480.\nAnswer: -(s - 1840)*(s - 88)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 17 - 11. Suppose r = 2*u + 11, 0 = u + 2*r + l + 12. Let s(n) be the first derivative of -n**3\/3 - 4*n**2 + 10*n + 44. What is s(u)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -146923*h**3 + 73459*h**3 + 73472*h**3.\nAnswer: 8*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 46 is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -9 - -6. Suppose -1 = 4*p + 11. Is x at least p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-2 - 2) + 3 + 12?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1.3 in -4, -3\/16, -0.6?\nAnswer: -3\/16","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.245, 1, 11\/16, 4\/7?\nAnswer: -0.245","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*n**2 + 0*n**2 - 3*n**2 + (3*n + 12*n - n)*(10*n + 7*n + 15*n))*(11 - 4*n - 11) to the form h*n + m*n**2 + j + a*n**3 and give a.\nAnswer: -1796","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 44, 173, 5, -8 in descending order.\nAnswer: 173, 44, 5, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1\/7 + 4\/21. Let g = 6 + -10. What is the nearest to 1 in c, g, -5?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 2 - 4 = 0, 3*k + x = -50. Let y = k - -49\/3. Let w be 6\/(-8)*2\/6. What is the third smallest value in y, -0.2, w?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11339 + -1152123.7.\nAnswer: -1163462.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 365842, -2, 4 in increasing order.\nAnswer: -2, 4, 365842","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 350349?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -49 + 55. Suppose -2*h + 42 = h. What is the remainder when 6*u\/9 + 49 is divided by h?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1887*k + 1892*k - 25 = 0. Solve -285*v + 3 = -282*v - 3*a, -k*v + 2*a = -17 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 166318435?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 14505 and 8085.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 divided by 4148576.\nAnswer: 5\/4148576","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33*b - 13*b = 160 for b.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 576 and 256.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(108) + (sqrt(3) - 2*sqrt(432)) + -4 + sqrt(75) + 0 + sqrt(75))**2.\nAnswer: 200*sqrt(3) + 1891","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -2314160314 + 1?\nAnswer: -2314160313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 501061 * -5\nAnswer: -2505305","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 1\/2 (b) 3.4 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = -4*t - 18, -8*t - 12 = -5*t. Factor 3\/4*j**4 + 9\/4*j**3 + 0 + 9\/4*j**m + 3\/4*j.\nAnswer: 3*j*(j + 1)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3944721?\nAnswer: 3, 11, 10867","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = 4*b - 9, -b - 4*q - 23 = -4*b. Let n be (b*68)\/((-1)\/(-2)). Calculate the greatest common factor of n and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1*(-2)\/1)\/(15*(-473)\/(-1290)).\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -356*g + 21. Let m(y) = 107*y. Determine i(m(h)).\nAnswer: -38092*h + 21","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = p**3 - 5*p**2 - 46*p + 69. What is the tens digit of v(20)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 160065419 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0 and 675?\nAnswer: 675","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 26909619951 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -5*t - 1. Let u be n(3). Let f = u + 32. What is the highest common factor of f and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -1 (b) 24402\/13 (c) -5 (d) -7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jkrkrvkkrrrrrrr. What is prob of sequence kk?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 218756 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: What is (20\/11)\/((-2839)\/(-31229))?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = 4*q - 8, w + 0*q + 7 = 5*q. Let n(p) = p**2 - 3*p - 6. Let x be n(w). Sort x, -5, -6.\nAnswer: -6, -5, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -8236015461 to the nearest one hundred thousand.\nAnswer: -8236000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -116586*k + 816128. Give h(7).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 3) to base 5.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 23*k**2 - 9*k - 9. Let t(n) = 11*n**2 - 4*n - 4. Let v(u) = -4*f(u) + 9*t(u). Let s(m) = -m**2. Give v(s(b)).\nAnswer: 7*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 62*n**5 - 4*n**4 - 7*n**2 + 78.\nAnswer: 3720*n**2 - 96*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 221404440 (base 5) to base 15\nAnswer: 141465","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 7 + -1 - (1 - -1). Let g(d) = -4*d**3 - 5*d + 3*d**3 + 2 - 5*d**2 + 2 + 0*d**3. Let o be g(-4). Solve 0 = -m - o + q for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine s so that 2*s**2 - 18*s - 224 = 0.\nAnswer: -7, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 15*g**3 + 13*g - 9. Let z(l) = -7*l**3 - 7*l + 4. Give -4*c(o) - 9*z(o).\nAnswer: 3*o**3 + 11*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*j**5\/2 - 27*j**4.\nAnswer: 3*j**4*(j - 18)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 117 minutes before 5:15 PM?\nAnswer: 3:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 2870.039 plus 3?\nAnswer: 2873.039","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = f**3 + 8*f**2 - 10*f + 8. Suppose 2*u - 5*u = 27. Does 4 divide g(u)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 123\/44 - 28\/11. Let d(a) be the second derivative of 0*a**2 + 2*a + 1\/10*a**5 + f*a**4 + 0 + 0*a**3. Find the third derivative of d(j) wrt j.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12843 a multiple of 43?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 13 = -2*m, 2*g - 4*g + 5 = -m. Suppose 4 + g = j. Differentiate -8 + u - 12*u - j - 9*u wrt u.\nAnswer: -20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 28 divided by 1646?\nAnswer: 14\/823","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 5699246 and 1722?\nAnswer: 574","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*d + d - 3*u, -4*d - 2*u = -24. Suppose 3*r + 4*t = -8, 4 = r - 5*r - d*t. Solve r*o = -g + 5*g - 16, -o = -3*g + 8 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 65911404 a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find z, given that -2*z**3\/7 - 6004*z**2\/7 - 411248*z\/7 - 2251776\/7 = 0.\nAnswer: -2932, -64, -6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 + 34 = 5*z. Let v = z + -7. Factor -1\/3*n**4 + 0*n + 0*n**2 + v + 0*n**3.\nAnswer: -n**4\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -398*q + 394*q - 98 = -w, -q - 14 = 5*w for q.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-1\/2)\/j*j\/(j*j**(1\/4)))\/((j\/j**8)\/(j\/(j*j**(-1\/3)))) assuming j is positive.\nAnswer: j**(67\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (-9 - 3) + (-18 - -17)\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (0 + (sqrt(325) + 2)*6 + -2)**2.\nAnswer: 600*sqrt(13) + 11795","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -271*a**3*c*f**3 - 2*a**3*f**2 - a**2*c*f**3 + 108*a**2*c*f - 2*a*c - 3*f**2 wrt f.\nAnswer: -1626*a**3*c - 6*a**2*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 12654 + 2?\nAnswer: 12656","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 16 and 24?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Determine p, given that -9*p**5 - 597*p**4\/5 - 1949*p**3\/5 - 387*p**2\/5 + 306*p\/5 + 16 = 0.\nAnswer: -8, -5, -1\/3, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*k - k + 4*k + (-5*k + 2*k + 5*k)*(1 + 2 - 1) + k + 4 - 4)*(-86*k - 6*k - k**3 - 706*k) to the form x*k**4 + u*k + o*k**2 + f + m*k**3 and give x.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 28*r. Let d(y) = -2*y**2 + 60. Determine d(u(p)).\nAnswer: -1568*p**2 + 60","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 28 and 203.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 268 and 5677982?\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/23, -6, -2, 275109 in ascending order.\nAnswer: -6, -2, 2\/23, 275109","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7736?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 739906 or 739917?\nAnswer: 739917","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5 + 10. Suppose 159 = 6*h + 57. Find the third derivative of -4*v**2 - o*v**6 - 17*v**4 + h*v**4 wrt v.\nAnswer: -600*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 139, 380, 781, 1342, 2063, 2944, 3985?\nAnswer: 5186","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -44, -195, -600, -1385, -2676?\nAnswer: -4599","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 57 is divided by 31.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -m**2 + 10*m + 3. Let i be d(10). Let x be (i\/(-6))\/1*-2. Let h be (-3 + (-84)\/(-8))*(-36)\/54. Sort -3, h, x.\nAnswer: h, -3, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 31291560 rounded to the nearest 100000?\nAnswer: 31300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 557656 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: Let s(w) = -w + 7. Let x be s(5). Does 11 divide 26 + 5 - 2\/x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 173 = a, -4*b + 6*a + 167 = 3*a. Is 11 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -4 + -1021?\nAnswer: -1030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 15 + -39?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11901.\nAnswer: 3, 3967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:13 AM and 11:32 AM?\nAnswer: 439","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -29 + 36. Let d = m - -9. What is the units digit of d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:33 PM and 6:00 PM?\nAnswer: 27","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + ((-3 + sqrt(175) - sqrt(175)) + -5)**2 + sqrt(175) + sqrt(175)*-2*5 + (2*(sqrt(175) + 1)*4*1)**2.\nAnswer: 595*sqrt(7) + 11332","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t - 4170 = -4*q + 3*q, 0 = -3*q - 4*t + 12510. Does 78 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 7, z: 6}. Give prob of sequence zkzk.\nAnswer: 21\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = x**2 + 8*x - 22. Let d be u(-11). What is the second derivative of -4*a + d*a**4 + 6*a**2 - 6*a**2 + 5*a**4 wrt a?\nAnswer: 192*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 147 and 10\/4557 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 329291728 to the power of 1\/4, to the nearest integer?\nAnswer: 135","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 6, p: 8, c: 2, q: 2}. What is prob of picking 2 c?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 41.5198 millilitres to litres.\nAnswer: 0.0415198","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: ((-81)\/35)\/(3507\/8183)\nAnswer: -27\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -a12 (base 11) to base 2\nAnswer: -10011000111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Do 1 and -1\/10042 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 12 + 3165 + (-2)\/((5 - 2)\/(-3))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from idiriridirrdiidr. What is prob of sequence rdrd?\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - o - 4 = 0, -2*g + 3*o = -156. Does 14 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -401, -1583, -3569, -6383, -10049?\nAnswer: -14591","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2 and 397480600?\nAnswer: 397480600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*f - 6 = 24 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -150.5264 to zero dps.\nAnswer: -151","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:02 AM and 1:30 PM?\nAnswer: 688","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2 by 83447.\nAnswer: -2\/83447","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.005798 to 4 decimal places.\nAnswer: -0.0058","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 277 minutes before 12:39 PM?\nAnswer: 8:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 2 w when three letters picked without replacement from {w: 2, c: 3}?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -157, -325, -493?\nAnswer: -661","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = w - 5*w - 80. Let h = 30 + w. What is the least common multiple of 22 and h?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-140)\/4704*-12*(36\/(-6))\/90?\nAnswer: -1\/42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2088*g - 2087*g + 6 = 2*v, 2 = -2*v for g.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -111929 - -111933. Factor 0*s**2 + 0 + 441\/2*s**3 + 1\/2*s**5 + 0*s - 21*s**p.\nAnswer: s**3*(s - 21)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1156 a factor of 311313112?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in three eighths of a meter?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21435 is divided by 858?\nAnswer: 843","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 553966279 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -2103, -1808, -1301, -570, 397, 1612?\n\"Answer: 2*s**3 + 94*s**2 - s - 2198","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -362*x**3 + 7*x**2. Let g(h) = 726*h**3 - 12*h**2. Calculate 4*g(a) + 7*r(a).\nAnswer: 370*a**3 + a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -544 + 548. Let c(x) = -x**2 + 3*x - 4. Calculate c(b).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -3*t - 7. Let x be q(-5). Let d be 16\/12 - x\/(-12). Suppose d*s + 126 = 11*s. List the prime factors of s.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/(n*n**(-4\/3)\/n))**(5\/7)*(n*(n*n**(15\/4)*n)\/n)\/((n\/n**(-3))\/n*n) assuming n is positive.\nAnswer: n**(41\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.39 and 7.11305.\nAnswer: 2.7740895","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12412*x + 12401*x = -70862. What is the tens digit of x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -r**3 + 20*r**2 + 1289*r - 5217. Determine v(4).\nAnswer: 195","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 94649909 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 321*b**2*j**2 + 4809749*b**2*j + 31*b**2 - 1052641*j**2 wrt j?\nAnswer: 642*b**2 - 2105282","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 15\/(-70)*307230\/(-2280)*8\/6.\nAnswer: 77\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) be the second derivative of -509*d**6\/6 - 2915*d**4\/12 - 18*d - 42. Find the third derivative of a(x) wrt x.\nAnswer: -61080*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -35259*g**2 - 3121?\nAnswer: -70518*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 2\/8*0\/26\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (-12)\/(((-2)\/(-1448))\/(20\/(-120)))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10802765 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -10 + (-29 - -10) + -1 + 6\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 24073452 * 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2049 is divided by 675.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -113 = -u + 3*d, 10*d - 6*d - 516 = -4*u. Let i = u + -75. What is the tens digit of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*g + 35 + 1. Is -54\/11 >= g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4936*b + 4939*b - 4*z = 12, -3*b + 14*z + 12 = 0 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 12791384?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is n in 2*n**3\/13 - 17274*n**2\/13 + 3022560*n - 8494384328\/13 = 0?\nAnswer: 241, 4198","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 11372 + -182029\/16. Let p = 697111\/50 + -13943. Find the common denominator of n and p.\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 4613 - -33?\nAnswer: 4646","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 19.78041 hours to seconds.\nAnswer: 71209.476","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -l - 4*r - 14, r - 2*r = -5*l + 14 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -171 + 4*c - 155 + 542 - 216.\nAnswer: 4*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j**2 + 12922*j + 77604 = 0. What is j?\nAnswer: -6, 6467","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-551)\/(-7) - (-12)\/42. Suppose -d = -3*w + 5*j - 21, 0 = 2*j - 2. Let h be (3\/w)\/(-1 - 0). What is the second smallest value in 3\/5, h, 2?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.5, -225\/11603, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 383? (a) 3\/8 (b) -0.3 (c) 1 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 56 is divided by 12.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -0*p - p - g, -12 = 3*g. Solve -p*f + 2*f + 6 = 0 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0593971947 to 2 decimal places.\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -2*v. Let o(m) = -5*m. Let k be o(-8). Let t(n) = -26*n**2 - 24*n**2 + k*n**2. What is d(t(a))?\nAnswer: 20*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -51*r + 117*r - 91*r.\nAnswer: -25*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14\/(-4)*(-5704)\/161?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) be the first derivative of b**6\/4 + 3*b**5\/10 - 9*b**4\/4 - 7*b**3 - 33*b**2\/4 - 9*b\/2 + 2. Factor p(s).\nAnswer: 3*(s - 3)*(s + 1)**4\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 5*o**3 + o**2 - 32*o + 59. Calculate the remainder when q(2) is divided by 12.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 491367223 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 8, 11, 1, -3, -416 in increasing order.\nAnswer: -416, -3, 0, 1, 8, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 8794.03 to the nearest ten.\nAnswer: 8790","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*l - 14 + 26 + 33 + 24.\nAnswer: -2*l + 69","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = p**3 + p - 1138. Let x be d(0). Let o = x - -4601\/4. Let t = -1568\/5 + 20339\/65. Calculate the common denominator of t and o.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -2688*j + 20. Let v(u) = 25*u. Calculate h(v(w)).\nAnswer: -67200*w + 20","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*d - 8933 = 21685. Does 72 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m = -0*m. Suppose 5*k + 5 + 15 = m. Is k != -4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 58*z = 563 + 365. Let g(h) = 273*h - z*h**2 - h**2 - 273*h. Let i(f) be the third derivative of -f**5\/20 + f**2. Determine i(g(a)).\nAnswer: -867*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 52.662 - 52.5. Let s = h + -2.162. What is the third biggest value in -2\/3, -3\/4, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - o = 2*o + 17185, o = -2*k + 17165. What is the thousands digit of k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) be the third derivative of b**5\/12 + 5*b**4\/2 - 29*b**3\/6 - 11*b**2 - 2*b. Calculate the least common multiple of m(-15) and 5.\nAnswer: 980","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(144)*5)\/(sqrt(4)*-1*1))\/(sqrt(48)\/(sqrt(16)\/sqrt(4)) - (1*sqrt(1728) + sqrt(1728))).\nAnswer: -10*sqrt(3)\/23","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -56*k + 954. Let s be q(17). What is y in -16\/3 - 8\/3*y - 1\/3*y**s = 0?\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1798 divide 8696926?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a centimeter in micrometers?\nAnswer: 2000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) be the second derivative of -41*o**3\/2 + 24*o. Let w(b) = -2. Let c(q) = q - 8. Let r(k) = -c(k) + 4*w(k). What is j(r(f))?\nAnswer: 123*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8153f (base 16) to base 8.\nAnswer: 2012477","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find m, given that 3*m**2\/5 - 354*m\/5 - 357\/5 = 0.\nAnswer: -1, 119","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4308 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -17199.63 rounded to the nearest one hundred?\nAnswer: -17200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 820154379 and 198?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -16085, -16062, -16039, -16016?\nAnswer: -15993","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -796 - 0.868092418.\nAnswer: -796.868092418","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 2*k = -216, 2*o - 219 = 6*k - 5*k. Let d = 278 - o. Which is greater: d or 166?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1057.5 + 588. Let y = 469 + a. What is the third smallest value in y, 0.3, -40, -0.8?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -21 - -17. What are the prime factors of 22 - (-1)\/(z\/(-16))?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 687 (base 10) to base 6.\nAnswer: 3103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 14*w**3 - 25*w**2 - 113*w + 33. Let z(s) = -5*s**3 + 8*s**2 + 38*s - 10. Let a(d) = -4*l(d) - 11*z(d). Give a(14).\nAnswer: 62","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 7427 and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 10*n + 22. Let d(x) = -79 - 65 - 4*x + 135. Give 12*d(c) + 5*s(c).\nAnswer: 2*c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -32*w**2 - 26*w**2 + 3*w**2 + 0 + 53*w**2 + 0.\nAnswer: -2*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -228*n = -121 - 1292 - 1551 for n.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 6 + -11. Let f(l) = l**3 + 6*l**2 + 4*l - 2. Let o be f(c). Sort -9, o, 2 in ascending order.\nAnswer: -9, 2, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*n + 39*p = -0*n + 71*p - 37*p + 10, 5*p = 39*n + 439 for n.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 76422.42 seconds to days.\nAnswer: 0.88451875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -225087*a + 111094*a + 114015*a.\nAnswer: 22*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 4, o: 3, h: 1, y: 5, n: 1, z: 4}. What is prob of picking 2 z?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1090 - 11 = -3*d. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -k**3 + 2*k**2 + 4*k + 1. Let j be d(3). Suppose -5 = j*f + 3. Let t = -9 + 9.3. Put -9, t, f in decreasing order.\nAnswer: t, f, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2782 times -0.2?\nAnswer: 556.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 4*n - 3*r - 18, 4*n + 4 = -r. Solve n = -0*m - 5*m + 5*c, 2*c = -2*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 712 - 712. Suppose 5*p = 5*r + 3*p - 1438, -3*r - p + 854 = u. What is the greatest common factor of 104 and r?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 3*f + 36. Let m be w(-9). What is the greatest common factor of m and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -82153692 + 82153692 + 404*j**2.\nAnswer: 404*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 89468685 and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -148.197 + 1.597. Let p = 146.60000849 + j. What is p rounded to seven dps?\nAnswer: 0.0000085","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 5, 2, 7, 0, 1\/9, 0.2, -112\/655?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(39) + sqrt(39) + sqrt(390)\/(sqrt(40)\/sqrt(4)))\/(sqrt(363) + 3*sqrt(363)).\nAnswer: 3*sqrt(13)\/44","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = s**2 - 6*s - 18. Let z be x(-3). Solve 6 + z = 3*p for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/b**(2\/5))**(5\/2))**(-13)*(b**(-1\/4)*b)**(4\/13)*(b**(-2\/7)\/b*b*b)**(3\/23) assuming b is positive.\nAnswer: b**(-80271\/4186)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 33\/(-22)*5\/(15\/(-46)). Let p = -17 + x. What is the tens digit of (-5)\/((-5)\/p)*(9 + -4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 3*y - 177 = -20, 0 = 4*x - 2*y - 154. Let s = x - 42. List the prime factors of (-120)\/(0 - (s - -6)).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 524 is divided by 43.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 82 - 30. What is the tens digit of g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is n in 2*n**2\/3 - 54248*n\/3 + 18082 = 0?\nAnswer: 1, 27123","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = 4*z - 0*z. Let r(l) = 7*l - 20. Let i be r(2). Which is the biggest value? (a) 3 (b) -1\/3 (c) z (d) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 6768, 7169, 7838, 8775, 9980, 11453, 13194?\n\"Answer: 134*y**2 - y + 6635","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*r**5 - 9*r**5 + 0*r**5 + (0 - 1 - 1)*(3*r**2 - r**2 - 4*r**2)*(-2*r + 9*r**3 + 2*r).\nAnswer: 27*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1\/3*b**2 + 40\/3 + 14\/3*b.\nAnswer: (b + 4)*(b + 10)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 2326696103?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2\/7, -69, -0.6, 4, 0?\nAnswer: -69","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 316, 2075, 6732, 15739, 30548?\nAnswer: 52611","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 29744 + 19040.\nAnswer: 48784","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -2 - (3 + -3) - -3. What is the nearest to l in -1\/5, 1\/11, -3?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p + 5*n = 1, 4*p = -45*n + 42*n - 6 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/5, 1.7, 2, -1 in decreasing order.\nAnswer: 2, 1.7, -3\/5, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/(-8)*16\/(-20)\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -292 - -296. Solve -p = -5*p - i*t - 28, p + 13 = -4*t for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i = -55 - 80. What is the remainder when i is divided by ((-11)\/4*2)\/(3\/6*-1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*u + 60657 = -11772. Let r = u + -124021\/12. What is the common denominator of r and -61\/3?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -2*a**3 + 136*a**2 + 728*a + 123. Give s(73).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 6 - 8. Let j be (-2)\/24 + (-10)\/60. Which is the closest to 0.2? (a) 0.1 (b) u (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -95 and -0.5.\nAnswer: 47.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -29 - 8316\/(-270) - (-271)\/5.\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-3552)\/(-259))\/(4\/28). What is the highest common factor of 2168 and g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -66 + 66. Let f(g) = -g. Let o be f(-3). Let k = o - z. What is the greatest common divisor of k and 9?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.2, 0, 2\/9, 16\/17?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*x + 18*x - 6*x.\nAnswer: 14*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 11 - 5. Let h = l - 4. Let u = 49 - 48. Is u at most h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/(-24) + 9 - 20\/16?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*x**4\/4 - 4328*x**3 + 75101*x**2\/4 + 75035*x\/2 - 115500 = 0. Calculate x.\nAnswer: -5775, -8\/3, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*v + 3*t = -2, 11*v - 7*v = -4*t - 12 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100010010010 + -1000?\nAnswer: -100010011010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 79\/198 and 25\/42?\nAnswer: 1386","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 23\/(3887\/819) - 2\/(-13)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 899 is divided by 18.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 4, -242, -3, 5 in increasing order.\nAnswer: -242, -3, -2, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*o**4 + 3*o**4 + o**4 + (36*o + 161 - 161)*(o**3 + o**3 - 4*o**3) to the form g*o**4 + d*o**2 + v + i*o + x*o**3 and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (0 - -2) + 39*1?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/(-6)*-4)\/(37\/(-6475)*25\/(-3))?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*r**2 + 4*r**2 + r**2)*(3 - 1 + 0) - 58*r**2 - 166*r**2 - 20*r**2 in the form i*r**2 + d*r + x and give i.\nAnswer: -240","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 148*d**4 - 13467*d**3 - 252*d**2 - 7904 wrt d.\nAnswer: 3552*d - 80802","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iiii when four letters picked without replacement from {i: 10}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out -47 - 1.\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + 1 + 66 + -58?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = u**3 + 415*u**2 - 427*u - 4423. Determine t(-416).\nAnswer: 153","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 63341?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -2 + -1465?\nAnswer: -1467","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -14*t**3 - 2*t**2 + 2*t + 3. Give i(-1).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 330765*x**2 + 164827 wrt x.\nAnswer: 661530*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k = -2*y + 19, -314*y = 2*k - 318*y + 18 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -873*x - 2889 - 2663 = 2305 for x.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n**4\/5 + 284*n**3 + 24*n**2\/5 - 17008*n\/5 - 4544 = 0. What is n?\nAnswer: -2, 4, 710","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 36*y**2 - 6*y - 11. Let v(w) be the second derivative of 0 + 7*w + w**2 - 7\/12*w**4 + 1\/6*w**3. Let c(j) = 2*g(j) + 11*v(j). What is c(1)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4012346 is divided by 1337447.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4767 + -1444. Suppose -4*c + v + b = 0, 2*c = 6*v - 10*v + 1684. What is the tens digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-6)\/(-9))\/((-2)\/(-162)). Suppose 3*h + 3*a - 36 = 0, 4*h - a - p = a. Is 13 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 15\/133651 or -1?\nAnswer: 15\/133651","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 34.4 + 19.7. Let f = -52 + j. Let q = 2 - f. Which is the third smallest value? (a) q (b) 2\/9 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*v = 14*v + 30 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4.359 + -0.059. Let n = p - 4.7. Let j = -0.29 - -0.09. Which is the second biggest value? (a) n (b) j (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 105 + -192 + 23 - (0 + -1 - -2) - -4?\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*c - 4*c + 2*a - 19, 4*a = -c + 23. Solve 6*y = 2*y + j - 25, 3*j = c for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1c7694 (base 13) in base 4?\nAnswer: -2302112223","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in ten thirds of a week?\nAnswer: 33600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 19151601?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 10213890 a multiple of 512?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -28.115325 to one decimal place.\nAnswer: -28.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4 + (-32)\/6)*(-3)\/2.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = r**2 + r + 1. Let t(h) = -12*h**2 - 11*h - 11. Give -44*j(f) - 4*t(f).\nAnswer: 4*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3 + 7. Let j = 48 - 47.8. Which is the second smallest value? (a) j (b) x (c) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o = -11*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 121129 and 890?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-186)\/1240)\/((-1)\/(-4)*-1).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3 - 8. Let y = -4 - -1. Let l = y - u. Solve 0 = 2*q + l - 4 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 87240 is divided by 13.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 29 + 6 = 0. Let t = o - 4. Suppose 3*m = -m - 8, 10 = v + t*m. Calculate the highest common factor of 112 and v.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -34 + 45. Calculate the remainder when ((-8)\/(-10))\/((-4)\/(-100)) is divided by i.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = r**3 - 7*r**2 - 43*r - 9. Let b be k(11). Suppose 5*p = 2*p - b*s + 15, 0 = s - 3. What is the highest common divisor of 237 and p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18810 a multiple of 110?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 507\/((-3)\/6 - -2). Suppose -1654 = n - 6*n - q, -2*q + f = n. Suppose -5*w = -0*w - n. What is the units digit of w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -21 - 12021?\nAnswer: -12042","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-92 - -70) + -1 - -37.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -13*h - 8. Let f(t) = 12*t + 7. Give 6*f(y) + 5*o(y).\nAnswer: 7*y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 1 o when two letters picked without replacement from oooooooooooowooowoo?\nAnswer: 34\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 56 a factor of 8509092?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*y - y - y)*(3 - 3 + y) - y**2 + 0 + 0 + 6*y + 12*y**2 + 3 + 0*y - 15*y**2.\nAnswer: -2*y**2 + 6*y + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -9\/1350701 and 4\/7014931.\nAnswer: 217462861","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 4 + 2)*(-132*a**2 - 165*a**2 + 38*a**2 + (0 - 2 + 4)*(-2 - 2*a**2 + 2))*(a - a - a).\nAnswer: -526*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.1, 6, -0.0149, 11, 2\/3 in descending order.\nAnswer: 11, 6, 2\/3, -0.0149, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 487?\nAnswer: 487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 40 minutes before 1:24 PM?\nAnswer: 12:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/1987 greater than or equal to 3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 4 - 27191.86689607\nAnswer: -27187.86689607","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(294) - sqrt(294)*-2)\/sqrt(6))\/((sqrt(77) - -2*sqrt(77))\/sqrt(11)).\nAnswer: sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 2*d**2 - 34*d - 32. Suppose -3*z + 0*z = r - 69, r = -4*z + 93. List the prime factors of w(z).\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 131\/60 and -7\/3171018?\nAnswer: 31710180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 328 minutes before 8:29 PM?\nAnswer: 3:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2200*v**5 - 4*v**4 - 458*v**3 - 27*v**2 - 135558*v + 1 wrt v.\nAnswer: 132000*v**2 - 96*v - 2748","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.0614 + -0.06139482. Round q to 7 decimal places.\nAnswer: 0.0000052","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o + 5*y + 22 = 3*y, -3*y = o + 13 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2237 - 2083. Solve 157*u - n*u = -3 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.29 times 10247?\nAnswer: 74700.63","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 11992 to the nearest one hundred.\nAnswer: 12000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v = 2*g + 44, -3*g + 6 = 2*v - 0. Let x be (30\/v)\/(6\/9). Suppose 6*t**4 + t - 4*t**4 - t**x + t**2 - 3*t**2 = 0. Calculate t.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 9*l - 11 + 10 - 2 - l**2 - 4. What is p(4)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -84 + 83.636. Let d = 5.364 + z. Which is the third smallest value? (a) -35 (b) d (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 116*w - 8 = -2474 - 2961 + 787 for w.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2596340167 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -34204 + 69695. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 8252*x + 60. Let r(f) = -41260*f - 288. Calculate -24*m(k) - 5*r(k).\nAnswer: 8252*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(1\/5))**(-50) assuming c is positive.\nAnswer: c**(-10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 674*s - 60624 = 650*s. What are the prime factors of s?\nAnswer: 2, 3, 421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5852 divided by -77?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -234*d**4 - 2*d**2 - 736 with respect to d.\nAnswer: -936*d**3 - 4*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) be the first derivative of -6*d**4 - d**3 - 5 - d - 3\/2*d**2. Is c(-2) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2)\/((-8)\/10)*16. Suppose -u = -5*f + 15. Suppose -c + 2 = -18. What is the remainder when c is divided by f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*s + 707*s - 93*s + 541*s - 53909 = 0 for s.\nAnswer: 47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 85367 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -126202 - 65?\nAnswer: -126267","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -907 divided by -5.\nAnswer: 907\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = f**3 - 8*f**2 - 8*f - 2. Let m be v(9). Let q = 0 + m. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = z - 1. Let s be o(5). Let r(p) = p**3 - 3*p**2 - 5*p + 4. Let v be r(s). Factor v*b**3 + 2\/3*b**2 + 0*b - 2\/3*b**4 + 0.\nAnswer: -2*b**2*(b - 1)*(b + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -186 - -198. What is the highest common divisor of 54 and w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1034 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -97 - -105. Suppose x - 5*p + n*p = 0, -p = -1. Is 22 a factor of 22\/5*(x + 28)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 71111 and 6408?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 494821 and 167?\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -24 + 1 - (-240 + 156 - -24)?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (w + 3 - 3 + (3 - 1 - 4)*(-9*w + 0*w + w))*(5 - 6 + 4)*(0 - 11 + 5 + (3 + 0 - 4)*(1 - 4 + 2) - 3 - 3 + 4).\nAnswer: -357*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express 64*w - 45*w + 492*w + 351*w - 67*w as m*w + h and give m.\nAnswer: 795","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:56 AM and 1:45 PM?\nAnswer: 709","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Determine j so that j**4 + 409*j**3 + 43903*j**2 + 430131*j - 474444 = 0.\nAnswer: -207, -191, -12, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 18 + -18 - (-6 + 0 - -1)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 11*i**3 - 13*i**2 - 9*i - 13. Let p(y) = 5*y**3 - 6*y**2 - 4*y - 6. What is 13*p(x) - 6*s(x)?\nAnswer: -x**3 + 2*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express 22*o**2 - 12*o**2 + 16*o**2 - 2*o**3 + 3*o**3 in the form k*o + n*o**3 + d*o**2 + s and give d.\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -14 - -24. Let k(v) = 15*v - 13. Let w(a) = -7*a + 6. Let n(x) = -6*k(x) - 13*w(x). Calculate the smallest common multiple of y and n(2).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -179547 divided by 1851\nAnswer: -97","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 15\/(-18)*9*4\/(-10)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 737919769.1 from -4.845.\nAnswer: -737919773.945","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 144624 a multiple of 131?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2584 = 3746*l - 4267 - 641 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -q**3 + 2*q - 1. Let l be b(-2). What is the first derivative of -249*t**3 + 3*t**4 - 8 + 249*t**l wrt t?\nAnswer: 12*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2736313?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - 3 = -2*x - 2*s, -11 = -3*x - 5*s. Let n(r) = r - 1 - 4 + 0. Let g be n(x). Solve 3*y - g*h = 19, -4*h - 2 = 3*y + 9 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 689\/143 + (-210)\/55 + 8\/2.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6175?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -82296 less than -82094?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out 741 * 23.\nAnswer: 17043","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m**(3\/7)\/m*m*m**(7\/6)\/m*m)**(6\/11)\/((m**(2\/27)\/(m*m**(1\/6)*m))\/(m\/(m\/((m*m**(2\/7))\/m)*m)*m)**(8\/15)) assuming m is positive.\nAnswer: m**(76103\/20790)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-462)\/49 - -3) + 5 + -7 + 6.\nAnswer: -17\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 93 = -4*q + 208*f - 213*f, 2*f = -34 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iascaaacsdjaaasiaada. Give prob of sequence dcad.\nAnswer: 1\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor v**2\/6 + 31*v\/6 + 25.\nAnswer: (v + 6)*(v + 25)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -5*j - 12. Let q be l(-8). Let i be ((-40)\/120)\/(6 - 511\/84). Which is bigger: i or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4610728907 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -21, -66, -139, -240, -369?\n\"Answer: -14*t**2 - 3*t - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2057 is divided by 757?\nAnswer: 543","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 57 + -52. Which is greater: r or 3?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -1871 and -101328.1?\nAnswer: 99457.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) be the third derivative of g**6\/80 + g**5\/40 - g**4\/8 - 4*g**2 - 10. Suppose o(s) = 0. What is s?\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 2*b**2 - 2*b - 1. Suppose 3*n - r - 10 = 0, -3*n - r + 0*r = -2. Suppose 5*f - n*f + 6 = 0. What is the units digit of y(f)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve k + 440 = 438 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-27)\/(-6))\/3*-2. What is the remainder when 9 is divided by (j + 6)*(-2 + 4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 37\/5 of a meter?\nAnswer: 7400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 1.1 (b) -4 (c) -0.02 (d) 0.34 (e) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*x + 9*x = -8. Let d(z) = -16 + 7*z + 0 - 13 - x*z. Let q be d(7). Solve q*v = 3*v - 3*n + 6, -5*n + 28 = -4*v for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -8\/4577819 equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3208.5 - 3209. Let x = -8 + 5. Let d = x - -3.4. Put 0.1, d, a in increasing order.\nAnswer: a, 0.1, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = n**3 + 14*n**2 + 12*n - 10. Let t be m(-13). Solve -t + 7 = -4*d for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4 - -11. Let d(y) = z - 7 + y**2. Let x(k) = -336 + 336 + 4*k**2. Give x(d(a)).\nAnswer: 4*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -z**5 + 2*z**3 - z.\nAnswer: -z*(z - 1)**2*(z + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3) + sqrt(6)\/(-1*sqrt(2)) - -3*(sqrt(3) + -1))**2*6.\nAnswer: -108*sqrt(3) + 216","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*y**2 - y - 6*y**4 - 413*y**3 + 223*y**3 + 190*y**3 + 35 as a*y**4 + v*y**3 + h*y**2 + i*y + k and give i.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m = 3*i - 93, 2*i - 13 = -7. Calculate the common denominator of 2 - (-30)\/(-14) - (-381)\/m and -11\/20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8412505 divided by -1682501?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -4 (b) -13\/10 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -31340 - -1?\nAnswer: -31334","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1193*t = -1195*t - 20 for t.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c, 1 f, and 1 b when three letters picked without replacement from {c: 1, b: 2, j: 1, k: 4, f: 1}?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 1 p when two letters picked without replacement from {i: 1, x: 4, p: 1, q: 2}?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 5, -3745, -3\/4, 11\/5, 3\/8, 0.1, -7?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -b**3 + 9*b**2 + 9*b + 8. Let s be w(6). Round s to the nearest ten.\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0017082 to 4 decimal places.\nAnswer: -0.0017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 4*s - 11. What is the tens digit of d(9)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*f + 39 - 3 = 6*f. Factor -1 - y - 1\/4*y**f.\nAnswer: -(y + 2)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = q - 5. Suppose 0*f = -f + q. Calculate the least common multiple of 5 and f.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 5*v**2 - v - 2. Let c be 3*(-12)\/18*(-2 - -3). Is 20 a factor of h(c)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 36 + -16. Suppose 0 = 3*f - 3, 2*g + 2*f = -g + 14. Suppose -x + 187 = p + g*p, 4*p - 5*x = 138. What is the remainder when p is divided by b?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (4\/8)\/((-2)\/(-4)). Let p(d) = 12*d**3 - 3*d**2 + d + 1. Let w be p(1). Suppose -2*t - c = -w, -6*c + 4*c - 6 = -3*t. Put -4, t, a in ascending order.\nAnswer: -4, a, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -29 in -2\/5, 3, 0.036?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 11600 divided by 145?\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -34355.5 to the nearest 10000.\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*x**2\/7 - 2950*x\/7 - 349700\/7.\nAnswer: -2*(x + 130)*(x + 1345)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 0 - ((-57)\/(-432))\/1. Let k = u + -5\/16. Suppose 4*j = 5*q - 10*q + 16, 2*j = -4*q + 8. Which is greater: q or k?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = w. Let a(f) be the first derivative of -31 + 0*f + 5\/2*f**2. What is y(a(o))?\nAnswer: 5*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 5, w: 3}. Give prob of picking 1 w and 1 k.\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide -13650 by 130.\nAnswer: -105","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*n**5\/5 - 7364*n**4\/5 - 59072*n**3\/5 - 177376*n**2\/5 - 236608*n\/5 - 118336\/5.\nAnswer: 4*(n - 1849)*(n + 2)**4\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -3 - (1 + -2 + -2). Suppose -4*u - 1 + 13 = z. What is the units digit of 1\/(u\/(-9)) - -19?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1032 a multiple of 129?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -2*w - 15. Suppose 2*s = 3*r + 40 - 3, -4*r - 61 = -5*s. Calculate j(r).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -468 + 691. Let f be (p\/2)\/1*(0 + 2). Suppose 5*j - d - f = 0, 5*d + 0 - 10 = 0. Round j to the nearest 10.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-15)\/70)\/(21\/27664*76)\nAnswer: -26\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2221, 8868, 19945, 35452, 55389, 79756, 108553?\nAnswer: 141780","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 381167 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in one quarter of a litre?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1 + 8)*(-4 - -3). Let n(g) = 3*g**2 - 5*g + 15. Let i(x) = 4*x**2 - 8*x + 23. Let v(r) = -5*i(r) + 7*n(r). Give v(s).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.3 (b) 34.809 (c) 0 (d) 0.1 (e) -6 (f) 2 (g) 7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -113, -440, -985, -1748?\n\"Answer: -109*y**2 - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence worb when four letters picked without replacement from {l: 2, r: 2, w: 1, b: 2, i: 1, o: 1}?\nAnswer: 1\/756","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -7788 + 7793. Solve -i*z = -4*w + 23, 5*z - 2*w + 7 + 22 = 0 for z.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1933, -3805, -5683, -7567, -9457, -11353?\nAnswer: -13255","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4 + 10*c - 10*c + 11*c + 2*c + 36*c**5 wrt c?\nAnswer: 720*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -4*t - 2. Suppose -27 = -4*p - 3*n - 10, 3*p = 3*n + 39. Let x = 33 - 34. Let d be -2 + (4\/p)\/(x\/(-10)). Let s(z) = -3*z - 2. Give d*s(k) - 2*v(k).\nAnswer: -k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 715*i - 498*i + 801*i.\nAnswer: 1018*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 58 - 8. Let v = l + -53. Let u(d) = -2*d**3 - 3*d**2 + 5*d + 4. Let b be u(v). What is the greatest common factor of b and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 22445214 to the nearest integer?\nAnswer: 282","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 3, 1.62, -1243.45?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 313864703+0.131\nAnswer: 313864703.131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4616 and 36311764?\nAnswer: 2308","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in nine tenths of a centimeter?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + 263097574308?\nAnswer: 263097574304","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 139 + -165. Which is smaller: h or -0.2?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 10020 and 96.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -195675950 times 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12119 + 2100 + 10462 = 2035*n - 1774 for n.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 5134 a factor of 105909286?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 12037, 48162, 108369, 192658?\n\"Answer: 12041*k**2 + 2*k - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 9.52366*0.4\nAnswer: 3.809464","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2444432 + 4?\nAnswer: 2444441","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 20316305 to the nearest integer?\nAnswer: 273","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 99 = 5*k + 5*w, -5*w - 87 = -2*k. What are the prime factors of k?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -2*a**3 - 33*a**2 - 220*a - 4923. What is x(-18)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 273 and 18843591.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 90 and 314710.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 756 divide 466452?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1025 and 451.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -z**3 - 20*z**2 - 20*z - 17. Let x be c(-19). Suppose 4 - 9 = 5*p, -3*s - 4*p + x = 0. Solve 1\/3*y + 1\/3*y**s - 1\/3*y**3 - 1\/3 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ge when two letters picked without replacement from {y: 1, e: 5, r: 1, g: 7, k: 5}?\nAnswer: 35\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 2, j: 1, m: 2, w: 4, h: 3}. Give prob of picking 2 w and 1 j.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1\/9 (b) -1.82 (c) -0.22\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 = 3*o - 4*u, 2*o + 2*u = -2 - 2. Factor 16 - 47*k - 15*k - 214*k**o - 2*k + 242*k**2.\nAnswer: 4*(k - 2)*(7*k - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -30*o**2 - 85*o + 595. Let k(h) = 2*h**2 + 6*h - 42. Let q(l) = 6*d(l) + 85*k(l). Let n(w) = 3*w**2 - 4. Calculate q(n(t)).\nAnswer: -90*t**4 + 240*t**2 - 160","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -2\/73, -0.5, 0.3, 0.1?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4055 + 4647 = -296*k for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -w + 4. What is h(-9)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1511?\nAnswer: 1511","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4680\/220 - 22*(-63)\/(-5082)?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 8270 (b) -5 (c) -1\/10 (d) 2\/9 (e) -0.4 (f) -1\/23\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 3*t**2 - 2*t + 4. Let b(j) be the second derivative of j**4\/2 - j**3\/2 + 7*j**2\/2 + 21*j. Calculate 3*b(d) - 5*o(d).\nAnswer: 3*d**2 + d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -10, 3, -5, 4 in decreasing order.\nAnswer: 5, 4, 3, -5, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -88 + 50. Let d = u + 38. What is the smallest value in 1, -0.4, d, 0.2?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -s - 0*s + 5. Suppose -5*f - 74 = -4*b + 206, 0 = s*b + f - 379. What is the highest common factor of b and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.102? (a) -2 (b) 121 (c) 0.1 (d) -0.1 (e) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) be the first derivative of -y**3 - y**2\/2 - 57*y + 20. Find the first derivative of k(v) wrt v.\nAnswer: -6*v - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 248*y - 233*y = 165. Solve y*d - 16 = 3*d for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 3*(-4 + 2 - (-12 - -3)). Suppose z + 12 = f. Solve -x - 2*x - z = 0 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4, -25, -62, -121, -208, -329, -490?\nAnswer: -697","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 475520200, 475520201, 475520202, 475520203, 475520204, 475520205?\nAnswer: 475520206","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 21*t + 1. Let a(c) = 536 - 150*c - 535 + 172*c. Give 4*a(o) - 3*i(o).\nAnswer: 25*o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = 5*f - 4. Suppose f*t + 2 = -6, 0 = 3*d - t - 11. Which is bigger: 1 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 9) to base 3\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (2 - -2)*2\/(-4). Let u be (0 - 2) + (-8)\/c. Solve -o - u = 1 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (2\/(-6))\/((-2)\/18). Let t be 1\/b + 4\/(-84). Is t at least 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3616882.\nAnswer: 2, 71, 25471","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/7, 2, -47, -0.56.\nAnswer: -47, -0.56, 2\/7, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 13731?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 4 - 334332?\nAnswer: -334323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -1230 divided by -10?\nAnswer: 123","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 106032?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 2497431150135 less than -10?\nAnswer: -2497431150145","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v, 1 l, 1 m, and 1 d when four letters picked without replacement from {m: 1, j: 1, v: 1, l: 1, d: 1}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 811, 1631, 2661, 3895, 5327, 6951, 8761, 10751?\n\"Answer: -v**3 + 111*v**2 + 494*v + 207","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 2022*q**2 + 30*q + 1. Is u(1) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 21.8 + -1.8. Let i = f - 21. Let u = 3.303 - 3.503. Which is the fourth smallest value? (a) 1 (b) i (c) 2\/3 (d) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5 + 0. Suppose -4*v + 16 = 0, -3*v - 189992 = -i*z - v. What is z rounded to the nearest 10000?\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -6 - -41. Suppose 8 = -z + t. What is the remainder when 106 is divided by z?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -h + 8. Let l = -9 - -9. Let o(v) = -v**2 - v - 9. Let n be o(l). Let x be s(n). What is x rounded to the nearest ten?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -6*32\/(-60) + (-2)\/10. Suppose -r - f*q + 17 = 0, -q + 0*q - 11 = -3*r. Suppose 0 = 2*i - 2*c - 412, -i + 56 + 126 = r*c. What is the tens digit of i?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -11.96 + 12. Let w = 0.44 - z. Let j be (-1)\/((-19)\/(-114) - 5\/(-6)). Which is the fourth smallest value? (a) 0 (b) 2 (c) w (d) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (31 + -1)\/((-2)\/3). Calculate the common denominator of 58\/3 and (25\/(-18))\/(3\/r).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 122 divide 194778301?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 94886 is divided by 208?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1039867946*z**2 - 1039867940*z**2 - 2 + 2.\nAnswer: 6*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -426.4416167+354.1\nAnswer: -72.3416167","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 210857583 a multiple of 33?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -8\/7*o**3 + 0*o + 0 - 2\/7*o**5 + 0*o**2 - 10\/7*o**4.\nAnswer: -2*o**3*(o + 1)*(o + 4)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + (12 + -9 - -1) + -4?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -10635 + 31795. Round h to the nearest ten thousand.\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -55589*s + 27 = -55584*s + w, -29 = -4*s - w for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 22 - 16. Suppose 0*t + l + 3 = 2*t, 12 = 5*t + 2*l. Suppose t = -2*p - q. Sort -5, p, -3 in descending order.\nAnswer: -3, p, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/7? (a) 9 (b) 2.18 (c) -0.1 (d) 10 (e) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - f + 0 + (3*f - 2*f + f)*(-1 - 1 + 4) - 4*f + 3*f + 0*f)*(-f + f + f)*((-4*f + 0*f + 2*f)*(-3 + 1 + 0) - 2*f + 2*f + 7*f).\nAnswer: 22*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1088) + sqrt(1088)*-4 - sqrt(1088))**2 + (sqrt(17) - sqrt(187)\/(sqrt(88)\/sqrt(8))))*-6*-1.\nAnswer: 104448","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) be the third derivative of -8321*c**6\/120 - c**5\/20 - 49*c**4\/24 - 7*c**3\/3 + 4530*c**2. Find the third derivative of y(d) wrt d.\nAnswer: -49926","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3868039 - 49.283.\nAnswer: -3868088.283","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 60 * 77557\nAnswer: 4653420","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6390 divided by -4.\nAnswer: -3195\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) be the third derivative of 0 - 3*a**2 + 0*a**3 + 1\/24*a**4 + 0*a. Let o be l(5). Put o, -2, 4 in descending order.\nAnswer: o, 4, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 18960*q**3 - 30*q - 18 + 3 - 23*q + 56*q. Let j be v(5). What is j rounded to the nearest 1000000?\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3591613 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -11\/2280 and 61\/760?\nAnswer: 2280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 6673 - -81?\nAnswer: 6754","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2492*k - 1273*k - 1244*k + 36 to m + t*k and give t.\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 7.110989 microseconds?\nAnswer: 0.000007110989","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(35)\/sqrt(245) - sqrt(7))*-4.\nAnswer: 24*sqrt(7)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: ((8\/8)\/((-261)\/8091))\/((1\/1)\/(-2))\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -52 - -49. Let n = 447.5 + -448. Which is the nearest to 0.1? (a) w (b) n (c) -13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor h**2\/2 + 8123005*h\/2 + 4061502.\nAnswer: (h + 1)*(h + 8123004)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1581212.\nAnswer: 2, 395303","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*s**2 - 38*s**2 + 20*s**2)*(1 + 1 - 3) + 2*s**2 + 1 - 1 - 2.\nAnswer: 18*s**2 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (10\/(-76))\/(136\/(158304\/485))?\nAnswer: -6\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 6*n. Let p(g) = -4*g. Let y(c) = -c. Let a(r) = -2*r - 3. Let b be a(-2). Let w(f) = b*p(f) - 6*y(f). Give w(h(l)).\nAnswer: 12*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*u**2 + 14 + 8 - 2*u**2.\nAnswer: 2*u**2 + 22","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express (555 + 320 - 391)*(3*l**3 - 2 + 2)*(0 + 0 - 1) as o*l**3 + f + p*l + q*l**2 and give o.\nAnswer: -1452","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x**3 + 120*x**2 - 254*x - 372 = 0.\nAnswer: -62, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/7 of a week in days?\nAnswer: 17","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5 + -4. Let x = 10 - 13. What is the second smallest value in -5\/2, x, n?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8278883 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-18)\/(-42))\/(-3) - 14340\/21. Let t = -688 - o. Let a(m) = m**3 + 4*m**2 - 7*m. What is a(t)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:18 AM and 2:43 PM?\nAnswer: 445","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 16 + 8 = -u, 5*a - 3*u = 60. Let l(x) = -x**2 + 17*x - 5. Let i(k) = -k - 1. Let h(b) = 4*i(b) + l(b). Let d be h(a). Solve d*m - 7*m = -8 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -379*d**3*h**2 - 11*d**3 - 504*d**2*h + 2*d**2 - d*h**2 + 101*h**2 wrt h?\nAnswer: -758*d**3 - 2*d + 202","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 58*n + 58 + 59 + 64 - 46 - 135 - 61*n.\nAnswer: -3*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -11 + 7 + (5 - 1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 41000 and 11671000.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y*y**(-2\/9)\/y)\/y*(y**(4\/11)\/y)\/y*y*(y**(6\/11))**(-1\/17) assuming y is positive.\nAnswer: y**(-1499\/1683)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out 403 + 10283.\nAnswer: 10686","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l = 2*l + 3. Let a be (l - 3)\/(4\/(-10)). List the prime factors of 0 + a\/(15\/6).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1542013, 0.1, 7, -3, -0.2 in descending order.\nAnswer: 1542013, 7, 0.1, -0.2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 51*f**3 + 52*f**2 + 47*f**2 + 5*f + 244*f**3 - 4 - 2*f - 98*f**2. What is the remainder when t(1) is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -o**3 + o**2 - 2. Suppose 0*h + 2*h = 4*m - 8, 0 = -3*h. Calculate u(m).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 360 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*g - g + 5*g)*(-2*g**2 + g - g) + (5*g - 5*g + g**2)*(37*g + 41*g - 81*g) to i*g**3 + s*g**2 + b*g + j and give i.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1036 + 2*s - 26*s**2 + 482 + 26*s**2 + 7943*s**5 - 7612*s**5 wrt s?\nAnswer: 6620*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/3*((-522)\/360)\/(-29)?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6 + 3425*w + 785*w + 3 + 1.\nAnswer: 4210*w - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) be the second derivative of 183*t + 0 + 1\/6*t**3 + 0*t**2. Let o(p) = 8*p + 2. What is o(r) - 2*q(r)?\nAnswer: 6*r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -130755, -261597, -392501, -523467, -654495, -785585?\nAnswer: -916737","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 197790023 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-30)\/(-8))\/((-3)\/(-16)). Suppose 0 = 2*m + z + w + 3, -m - 5*z - 7 = 0. Let o be (0\/(m\/(-4)))\/2. Solve -3*y = -o + 12 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1198234 is divided by 21786?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.33447 - -3.63447. What is the second biggest value in u, 2, -1\/4, -7?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 108 (base 9) to base 7.\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:50 PM and 3:13 AM?\nAnswer: 323","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -y - 5. Let x be j(-9). Suppose -p = -m - 0*p - 6, -2*m - 22 = -x*p. Are m and 0 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*r = -341 - 3334. Is r a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 2*b**2 - b + 11. Give w(-5).\nAnswer: 66","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -i**2 - 3 + 8 + i + 4*i**2. What is the units digit of b(5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2bbb7 (base 12) in base 9?\nAnswer: -104284","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6 (base 8) to base 5.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r = w - 15, 2*r - 6 = 5*r. Let n(i) = i**2 - 9*i + 2. Give n(w).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.3? (a) -31 (b) -2 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*x + 5*g = g - 4, -5*g = -4*x + 9 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -135149 - -145777.3. What is n rounded to the nearest one hundred?\nAnswer: 10600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2432 is divided by 1211.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand -7*o**4 + 6*o**4 + 31*o**5 + 26*o**5 + o**5 - 3*o**5 + 0*o**5 + (2*o + 3*o - 4*o)*(-o**4 + o**4 - 2*o**4).\nAnswer: 53*o**5 - o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -482327942 - -2\nAnswer: -482327940","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r - 5*q - 22 = -q, -r - 116*q - 514 - 844 = -1896 for r.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -271 and -97498?\nAnswer: 26421958","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = t - 4. Let x be (3 + (-8)\/3)\/((-1)\/(-30)). Calculate w(x).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -8719 at least as big as -9028?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 31498 + -15094. Let o = -10849 + u. Let i = -66559\/12 + o. What is the common denominator of -13\/12 and i?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find p such that 5*p**2 - 2372460*p + 59308375 = 0.\nAnswer: 25, 474467","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -3a5 - -e3ab?\nAnswer: e006","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*c + 36512 + c**2 - 4*c - 9*c - 37726.\nAnswer: c**2 - 1214","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/10 - (-5 + 36\/9).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1\/(-1)*(-4)\/10. Let z = -0.15 + 0.95. Let n = z + -0.9. Which is the nearest to n? (a) -3\/2 (b) -2\/15 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 473902?\nAnswer: 2, 11, 13, 1657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0908018 - 24.8454?\nAnswer: -24.9362018","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*u + 1086 = 288. What is the smallest common multiple of 42 and u?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-h + 6*h - 2*h)*(h**3 - 6*h**3 + 37*h**3 + (-4*h + 2*h + 3*h)*(4*h**2 - 3*h**2 - 4*h**2)).\nAnswer: 87*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 17*y - 304. Calculate o(21).\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*c - c - c)*(0*c + 2*c - 3*c) + (-3*c**2 - 2*c**2 + 4*c**2)*(13 - 811 - 408).\nAnswer: 1205*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(5) - sqrt(45)*-4)*-2.\nAnswer: -26*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 46 divide 1834?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -f**3 + 158*f**2 - 71*f + 11218. What is o(158)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -132, -996, -3354, -7956, -15552, -26892, -42726?\nAnswer: -63804","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -11, -1, 15, 37, 65, 99?\nAnswer: 139","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.027 and -0.4.\nAnswer: -0.427","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2\/17, -4\/3, -1\/3, 0.1, -2?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-338)\/39)\/(4\/(-18)). Calculate the highest common divisor of c and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(4200)*-1)\/(-1*sqrt(726) - sqrt(726) - sqrt(726)).\nAnswer: 10*sqrt(7)\/33","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1670227 to the power of 1\/2, to the nearest integer?\nAnswer: 1292","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = m**2 + 9*m - 22. Let j be u(-16). Calculate the greatest common factor of j and 36.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a milligram in micrograms?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -14323241 (base 5) in base 16?\nAnswer: -25090","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: What is 507 minutes before 1:22 AM?\nAnswer: 4:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 8c9cb (base 14) to base 11\nAnswer: 214110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -3570*j - 24827. Determine c(-7).\nAnswer: 163","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 119*h - 4. Let p be s(3). Suppose 4*r - 146 = -x, 4*x - p = x + 5*r. Suppose -5*c - 2*c + x = 0. Is c a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 1, k: 1, q: 2, f: 1, l: 2}. Give prob of sequence qz.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2 + -47639?\nAnswer: -47637","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m = -4*f, 3*m - 28 = 4*f - 0*f. Let p be 12\/f + -2 + 7. Solve 3*k + l = -2*k + 20, -5*k + 20 = p*l for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 3 k when four letters picked without replacement from kddd?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide 6415 by -6415.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -v**2 - 12*v + 5. Let r be p(-12). Suppose r - 41 = -2*i. Suppose -2*y + y = -4*t + i, -126 = 4*y + 2*t. Are -29 and y non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 24150 and 2550.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -213 - -239. Suppose -3*p = 5*d - 518, 0 = 4*d + 5*p + 215 - 632. Calculate the remainder when d is divided by x.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mllx when four letters picked without replacement from {m: 2, x: 6, l: 2, n: 1}.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 6\/(-1 - 11\/(-9)). Let w(s) = -s**2 - 3*s - 3. Let q be w(-2). Let b be (-6)\/1*(q - 2). Calculate the greatest common divisor of m and b.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 43\/39 and 11\/2?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (7 - 13 - ((-3 - -5) + 4)) + 0?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*n - 259 = 10*n. Let h = -161 - n. What is the tens digit of h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 138\/24 - 6\/8. What is the second derivative of -6*x + 5*x**5 - 8*x**5 - 2*x**w wrt x?\nAnswer: -100*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -190 - -134. Let b = -34 - m. Calculate the lowest common multiple of 20 and b.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5*(-306)\/(-7735))\/((-32)\/(-448)).\nAnswer: 36\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -o**2 - 12*o + 27. Let b be p(-10). What is the highest common factor of 1927 and b?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15349 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 2*x**2 - 34*x + 34. What is the hundreds digit of u(31)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10246925 to the power of 1\/10, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6545622.\nAnswer: 2, 3, 1090937","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8)\/156 - (-119)\/(-273)*-124 - 10?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 8098 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) be the second derivative of -x**9\/504 + x**5\/60 + x**2 - 3*x. Let d(r) be the first derivative of o(r). Find the third derivative of d(u) wrt u.\nAnswer: -120*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-20)\/(-45)*837\/62?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1331 a factor of 2003280114?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 92 - 82. Let h be 33\/3 + (-40)\/x. Solve -h*i = -12*i - 5 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4? (a) -4680 (b) 16\/23 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3297 is divided by 366.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from euqeuqeueqevqequqqu. What is prob of picking 1 e and 1 q?\nAnswer: 14\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -5, -1, 15, 43, 83?\n\"Answer: 6*f**2 - 14*f + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4350675*q + 8723888 wrt q.\nAnswer: -4350675","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 1, n: 1, a: 1, z: 1, u: 1}. Give prob of sequence xzan.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 160607*g**3 - 321189*g**3 + 160610*g**3.\nAnswer: 28*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from whhcchhccchhwh. What is prob of picking 2 c and 2 h?\nAnswer: 30\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 53, 55, 57?\n\"Answer: 2*l + 51","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b = t - 2*t, -3*b = -12. Let i(o) = o**2 + 35*o + 302. Let s be i(t). Let g(a) = -a**3 + 3*a**2 - a + 1. Calculate g(s).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*t - 2*t - 4*t)*(510 - 228 - 216)*(2*t**2 - 2*t**3 - 2*t**2) to the form r*t**4 + f*t**3 + u + k*t + i*t**2 and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -40? (a) -0.4 (b) -3 (c) 1369\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2\/15, -17, 2?\nAnswer: -17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 4, -89, -4, 11?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 61\/24 and 86\/799793835.\nAnswer: 6398350680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 4*r - 6. Let x(q) = 12 - q - 7 - 2*q. Let k be 28\/(-364) - 132\/(-26). Determine k*x(t) + 4*s(t).\nAnswer: t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r = -r - 5. Let w be 2\/4 + r\/(-10). Calculate the highest common divisor of 5 and w.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + -1*(2 + (1 + sqrt(13) - sqrt(13))) + (sqrt(130) - (-6*(-2*sqrt(130) - sqrt(130)) - sqrt(130)))\/sqrt(10))**2.\nAnswer: 64*sqrt(13) + 3332","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 40588.578*0.2\nAnswer: 8117.7156","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (7\/42)\/((-2)\/18).\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 5 (base 15) to base 9\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*q + 2*p = 32, -4*q + 14*p + 34 = 17*p for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 174 is divided by 17.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*t + 32 = 27*t. Calculate the highest common factor of t and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21179993.\nAnswer: 61, 103, 3371","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -8 - -7.94. Suppose 0 = -4*v - 0*v. Suppose -f + 6*f = v. Which is the closest to 0? (a) f (b) p (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-nine halves of a day in hours?\nAnswer: 348","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1600379*r**5 + 1782*r + 74 wrt r.\nAnswer: 32007580*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2179 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 200129102?\nAnswer: 2, 47, 83, 113, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -286 + 3a663a?\nAnswer: 3a6364","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + -6*(sqrt(864)*1)\/(sqrt(16)\/(sqrt(32)\/sqrt(4)))*-6)**2.\nAnswer: 3456*sqrt(3) + 559888","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 800?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 15739*a**2. Let s(k) = -13*k**2. What is s(x(r))?\nAnswer: -3220309573*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 115, 752, 2479, 5842, 11387, 19660, 31207, 46574?\n\"Answer: 91*q**3 - q**2 + 3*q + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Add together 646.98 and 0.5.\nAnswer: 647.48","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 16 = -122. Let n = -45 + k. Let d(m) = -m**3 + 5*m**2 + m - 4. Let j be d(5). Is n greater than j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1 + b?\nAnswer: a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 224 or 14569\/65?\nAnswer: 224","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 406*m - 229*m + 47*m**2 - 177*m.\nAnswer: 47*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -534*q**2 + 623*q + 1246. Let a(t) = -t**2 + t + 2. Let i(l) = -1246*a(l) + 2*j(l). Let v(b) = 2*b. What is v(i(g))?\nAnswer: 356*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -48*a**2. Let f(k) = 2*k + 215. Determine s(f(i)).\nAnswer: -192*i**2 - 41280*i - 2218800","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (sqrt(684) + 0 - sqrt(684))**2 + -3.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:01 PM and 8:00 AM?\nAnswer: 599","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -148*v - v - 7514 = 140*v for v.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5 by 5251945.\nAnswer: -1\/1050389","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 1509, 1512, 1517, 1524, 1533, 1544, 1557?\n\"Answer: b**2 + 1508","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 227728?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (7 - 9)*1\/5. Which is the third biggest value? (a) 2\/5 (b) m (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 92552 to the power of 1\/2, to the nearest integer?\nAnswer: 304","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 424 minutes before 8:06 PM?\nAnswer: 1:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -4*w - 1. Let k be i(-2). Let q = k - 2. Suppose q*g + 35 = 4*t, t + 2*g - 8 = 17. Does 8 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3189 is divided by 450?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) be the third derivative of -f**5\/300 + f**4\/40 + 2*f**3\/15 + 2*f**2 + 477. Factor y(w).\nAnswer: -(w - 4)*(w + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -15, 3, -249, -2 in increasing order.\nAnswer: -249, -15, -2, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(12))*-3 + 4.\nAnswer: -6*sqrt(3) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor k**2\/2 + 11307*k - 22615\/2.\nAnswer: (k - 1)*(k + 22615)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 35420961313 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-36)\/(-9))\/140)\/(4*1\/(-8))?\nAnswer: -2\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -363\/2275 - -1\/175. Let k = 5 - 3. Let f be (4 - 5) + (-6)\/(-4). Which is the closest to -1? (a) r (b) f (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 53 + -29. Suppose -j - 27176 + 27264 = 4*x, -4*x + 328 = 4*j. What is the lowest common multiple of j and m?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 11, y: 1}. Give prob of sequence xxy.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c = 2*c, -4*v - 468 = 4*c. Suppose 3*j = -4*a + 3*a - 9, 3*j = 3. What is the units digit of 52\/a*v\/3?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*sqrt(13)*6 + sqrt(13) + sqrt(5200)\/sqrt(4) + 3.\nAnswer: 3 + 29*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 10*c - 96. Determine d(9).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -507*u = -235*u - 276*u - j + 35, 5*u + 5*j - 48 - 112 = 0 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 52 minutes before 7:05 PM?\nAnswer: 6:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (g**2 + 7*g**4 + 0*g**2 - 8*g**4)*(2 - 2 - 2*g)*(3 + 1 - 1).\nAnswer: 6*g**5 - 6*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = s - 19. Let u be x(-5). Calculate the remainder when u\/90*-25*144\/10 is divided by 14.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 9259.64421 to the nearest 100.\nAnswer: 9300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1223837649 to the power of 1\/3, to the nearest integer?\nAnswer: 1070","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -4*t**6 + t**2 - 2*t + 2. Let i(l) = -7*l**6 + 2*l**2 - 5*l + 5. Let s(d) = -2*i(d) + 5*w(d). Find the third derivative of s(c) wrt c.\nAnswer: -720*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/5 in -5\/3, 5, -3, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/p**(1\/4))\/p**(-1\/4)*(p\/p**2)**(2\/77))**5 assuming p is positive.\nAnswer: p**(375\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = z. Let i(r) = 5*r - 118. What is -i(a) + 6*p(a)?\nAnswer: a + 118","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -11.5 and -39236.12?\nAnswer: 39224.62","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 10 and 390086.\nAnswer: 1950430","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -16\/157193 and 38\/13991.\nAnswer: 2672281","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x = 173*w - 171*w - 23, -18*w - 51 = -22*w - 3*x for w.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (13*w - 11*w - 139 + 52)*(0*w + 2*w + 3*w).\nAnswer: 10*w**2 - 435*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -3*n + 36. Let m be p(5). Is (1724\/7)\/(6\/m) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -54352*s**2 + 387. Let k(u) = -2938*u**2 + 21. Calculate -129*k(r) + 7*x(r).\nAnswer: -1462*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 2*w + 11. Let k be f(-7). Let m be (-127)\/k - (-5)\/(-15). Suppose 0 = q + m - 46. Which is the smallest value? (a) q (b) 2 (c) 2\/27 (d) -1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*k**2 - 2*k**2 + k**2)*(4 - 2*k**3 - 4) + (-4 + 4 - 2*k**3)*(0*k**2 + k**2 - 3*k**2) + k**5 - 6*k**5 + 0*k**5 + 2*k**5 + 4*k**5 + 0*k**5.\nAnswer: 3*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 35298711005 + 7\nAnswer: 35298711012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + 3 = -y, -y - 2 = -n - 11. Let j be (3\/4)\/(1\/n). Sort j, 1, 1\/2 in increasing order.\nAnswer: j, 1\/2, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u - 4*w + 46 = 0, -u - 2*w + 19 = -3 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17340*n**3 + 51 - 51.\nAnswer: 17340*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**2\/q**(3\/7) assuming q is positive.\nAnswer: q**(11\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 628 minutes after 3:44 AM?\nAnswer: 2:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 3*i + 10*i - 11*i. Let q(j) = -2*j**2. What is q(r(b))?\nAnswer: -8*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -204184 divided by -2\nAnswer: 102092","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s = -222 - 54. Let z = 85 - s. Let h = 432 + -424. Calculate the smallest common multiple of z and h.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*h**4\/3 + 14*h**3\/3 + 26*h**2\/3 - 2*h - 12.\nAnswer: 2*(h - 1)*(h + 2)*(h + 3)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 8401313*r**4 - 1636619 wrt r.\nAnswer: 33605252*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 253*n**2 + 8*n + 233. Is m(22) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1384 is divided by 483.\nAnswer: 418","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -7 - (763\/(-49) - -8). Which is the third biggest value? (a) -4.6 (b) g (c) -2\/3 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 891412, 3565663, 8022748, 14262667, 22285420?\nAnswer: 32091007","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -225 = 5*b + d + 444, 254 = -2*b + 3*d. Let z = b + 83. Round z to the nearest 100.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -24.18 + 23. Let x = s + 0.98. Let q = -0.05 - 3.95. Which is the biggest value? (a) q (b) x (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 13 + -13. Suppose t = -5*g + 2*g + 840. Suppose g = 24*q - 20*q. What are the prime factors of q?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 265 - 1?\nAnswer: 264","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-8)\/(-18))\/(70\/315).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -11\/15 + 542\/105. Find the common denominator of -91\/6 and w.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 65*u. Let j(d) = -11*d. Let y(k) = -6*i(k) - 35*j(k). Let g(b) = 11*b. Let h be (-4)\/(-14) - 182\/(-49). Determine h*g(w) + 9*y(w).\nAnswer: -w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ffu when three letters picked without replacement from {f: 3, l: 1, u: 2, v: 1}.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 29097414?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -693 + -5?\nAnswer: -698","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -149990.354011 and 0?\nAnswer: 149990.354011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 90?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find o such that 4*o**3 + 1104*o**2 - 17460*o = 0.\nAnswer: -291, 0, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:59 AM and 10:20 AM?\nAnswer: 501","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 8, 6, 1\/4, 1\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -14502.42 + 14502. What is the fourth smallest value in -9, -3, 0.2, c?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t + 2*t = 50. Let n(b) = b**2 - 8*b - 14. Let r be n(10). Solve 11*d + t = r*d for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 14*d**2 + 1983*d - 7. Let h(p) = 9*p**2 + 1323*p - 5. Give 7*h(m) - 5*y(m).\nAnswer: -7*m**2 - 654*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 576 minutes before 3:36 AM?\nAnswer: 6:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -14 + (8 - -8 - 4) - (89 - 10)\nAnswer: -81","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4 + 2)*((-36)\/(-8) + -4)*-1?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3178852 is divided by 1059587.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1.5 (b) 1\/6 (c) 0.3 (d) 2\/5 (e) -0.0853\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -197*c**2 - c + 197*c**2 + 9*c**3. List the prime factors of k(1).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*a**3 - 224*a**2 - 4156*a - 7384.\nAnswer: 4*(a - 71)*(a + 2)*(a + 13)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*y + 3 = -23*y. Which is smaller: 1 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 42599251?\nAnswer: 967, 44053","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - (-3 - (14 - 12)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*v - 4*v - v - 3*v in the form n*v + g and give n.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3180, 3170, 3154, 3132, 3104, 3070, 3030?\nAnswer: 2984","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29*a - 18*a = 619*a + 30636 for a.\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/(-21)*-25 - 333\/999?\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 155046091 to the power of 1\/3, to the nearest integer?\nAnswer: 537","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 14*f**3 - 25*f + 83. Let k be c(4). Let r = -877 + k. Let t(v) = 3*v - 1. Calculate t(r).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) be the second derivative of s**3\/6 + 3*s**2\/2 - s. Suppose 17 = 9*t + 44. Give h(t).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 + (-3 - 6) - -18.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(0 + (sqrt(68) + 0 + sqrt(68) + 5)*-1*6))**2.\nAnswer: 36000*sqrt(17) + 267300","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2409, -4558, -2 in ascending order.\nAnswer: -4558, -2, 2409","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -q + 1. Let l be i(-11). Let r be (-140)\/((-10)\/15 + (-4)\/l). Let j = 529\/4 - r. Calculate the common denominator of 101\/8 and j.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 2989 = -b, -5*c - 7*b + 1673 = -13296. Is c a multiple of 44?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 245114929 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = g**3 + 6*g**2 - 5*g - 3. Let d be y(-6). Let w be 36\/81 - (-15)\/27. Suppose -2*i + w = -d. Is i a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 40760320 a multiple of 190?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3120 and 108576?\nAnswer: 542880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when ((-6)\/7)\/(2\/(-28)) is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 119591304 and 24?\nAnswer: 119591304","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 8260 at most 24784\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 197.98968 hours?\nAnswer: 8.24957","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 3 + 1195?\nAnswer: 1198","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 2*p - 9. Let d be j(6). Let a = d + -3. Let t be 2\/(-2)*a\/2. Solve -4*k + 3 + 5 = t for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26050911203 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 986\/(-12) - 2*(-5)\/60. Let x = -86 - g. Find the common denominator of 2\/16*(-34)\/x and 3\/22.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/75 of a millennium in months?\nAnswer: 640","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -140881769 by 20125967.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1235 and 1755?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = t**2 + 8*t + 5. Let l be n(-8). Put -4, 11, l in increasing order.\nAnswer: -4, l, 11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*h + 2*h - h - 38 + 38 - 14*h - 3*h + 5*h - h + (-1 + 1 - 1)*(4*h + 7*h - 4*h) to the form j*h + y and give j.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:49 PM and 6:58 PM?\nAnswer: 309","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 6*n + 60. Let q be u(-9). Let r(s) = -29*s. Let p = 3 - -10. Let l(w) = 14*w. Let j(a) = p*l(a) + q*r(a). Let k(c) = 2*c**2. Calculate k(j(o)).\nAnswer: 128*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18359 is divided by 8\/(8 - ((-1)\/4)\/(54\/(-1680)))?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5.432816mm to kilometers.\nAnswer: 0.000005432816","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 1 and -1.4?\nAnswer: 2.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(2\/17)*p**(-4\/3)*(p\/(p**(-1\/2)*p))**(-12))**31 assuming p is positive.\nAnswer: p**(-11408\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -14377881*h*w**2 + 674*h*w + 101*h + 2*w + 2 wrt w.\nAnswer: -28755762*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 895\/(-1074)*(-1602)\/(-15)?\nAnswer: -89","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1185 and 261727.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + (7 - -10) + -12.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r = -3*j - 5, -3*r = 2*r - 4*j - 22. Suppose 5*b + 146 = 3*s, -4*s + 5*b + 104 = -r*s. What is the lowest common multiple of s and 8?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -16*d**3 - 578*d**2 - 3960*d - 486.\nAnswer: -2*(d + 9)*(d + 27)*(8*d + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 2*d**3 - 2*d**2 + d + 1. Let o be s(3). Let u = o + -25. Let q = u - 13. Do 8 and q have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -212 - 202010?\nAnswer: -202222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4 + -6. Let m = z + -3. Let y = -6 + 11. Sort m, y, -2\/15 in decreasing order.\nAnswer: y, -2\/15, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 36\/(828\/115)*(-2)\/(-35).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 44311552 + -10?\nAnswer: 44311542","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12784?\nAnswer: 2, 17, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) be the third derivative of -f**4\/12 - 2*f**3 - 2*f**2. Let z be w(-7). Solve 3*r = 2*r + z for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(78)\/sqrt(48)*5)\/(1*sqrt(2)*2 + sqrt(2)*1*-3)*-6)**2.\nAnswer: 2925\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-110)\/(-275) + (6\/15 - 155\/100)?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 111 divide 4626461?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i + 21 = 7*i. Let n = i + -6. Solve n = -2*x - 7 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t + 4*u - 1 = 0, t + 9 = 2*u - 4 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d = -6*d - 2*g + 6, 0 = -5*d - 5*g + 15 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -67\/80 and 47\/3360.\nAnswer: 3360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 7*f + 1319 - 1095 for f.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -4.5949 to 1 dp.\nAnswer: -4.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*l**2\/7 - 18711066*l\/7 + 93555255\/7 = 0. What is l?\nAnswer: 5, 6237017","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 527, 4176, 14077, 33356, 65139, 112552?\nAnswer: 178721","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 501 - 2061\/4. Calculate the common denominator of 101\/28 and y.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:24 PM and 3:47 PM?\nAnswer: 203","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2 - 12330431?\nAnswer: -12330424","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = o**3 - 5*o**2 - 4*o - 7. Suppose 5*d + 1 + 9 = 0. Let q = -2 - d. Suppose 0 = 3*k - 5*t - 0*t - 8, q = 2*k - 3*t - 6. Determine c(k).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 7*r + 49. Suppose -9 = 6*q + 39. Let b be h(q). Let g(c) = c**2 + 9*c + 11. Determine g(b).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + 5 + 2 + sqrt(45)*-3 + 5.\nAnswer: -9*sqrt(5) + 10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-27)\/18)\/((-1)\/(-2)). Let p be (h\/(-2))\/(3\/18). Is (701 + 0)\/(p + -8) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1480 is divided by 145?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 116393004?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s + 9*q = 4*q + 85, 0 = -5*q + 10. Let y be (2 + 82\/4)*-2. Let w be (-5599 + -1)\/(s\/y). Round w to the nearest 1000.\nAnswer: 17000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 39*o*t - 21*t - 5 wrt o.\nAnswer: 39*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -100101001111001 (base 2) in base 7?\nAnswer: -106404","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-1)\/(s\/s**(4\/7)*s))**(2\/75)\/(((s*s**(-1))\/s)\/s**(-2\/23)*s**(1\/3)\/(s\/(s**(1\/3)*s))) assuming s is positive.\nAnswer: s**(731\/4025)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 5 + 21 = 0. Let x be (-7)\/(-28)*t\/(-6). Let l = 3 + -3.1. Which is the closest to l? (a) -2\/19 (b) -0.4 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 5*t = -6366, -4*y + 12804 = -51*t + 53*t. Calculate the greatest common factor of 369 and y.\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + 16044\/3234 + (-2)\/14.\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2\/8 + 33\/12. Let q(m) = 0*m - 8*m + x + m**2 + m. Let k be q(7). What is the nearest to 0.1 in -5, k, -4\/3?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*p + 50 - 5 = 0. Let n be ((-2 - -3)*-2 + p)\/1. Let k be n\/((-3)\/24*-2*6). Solve -f = k*f - 12 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -57858, -57863, -57870, -57879, -57890, -57903, -57918?\n\"Answer: -g**2 - 2*g - 57855","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.773875214 - 72.226119086. Let z = -0.087 - 72.913. Let x = k - z. Round x to six dps.\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*j + 21*h = 22*h + 13, j - 3*h + 18 = 0 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (g**3 - 2*g**3 + 2*g**3)*(-40 - 4 - 10)*(-2*g - 5*g + 4*g).\nAnswer: 162*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -25 + 24. Let i be 56\/147*(-3)\/(-4). Sort -5, i, s, 3 in increasing order.\nAnswer: -5, s, i, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y = -2*y - 4. Suppose 4*v + 4 = 0, -y*h = -0*h + v - 51. List the prime factors of h.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-12)\/(-15))\/(2\/(-1)*(-18)\/(-20)).\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*p - 12 = -19*p + 1210 + 146 for p.\nAnswer: 72","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a + 0*a = 0. Let t = a - -2. Calculate the smallest common multiple of t and 1.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -12 + 11. Let v be (-8 - -9)\/(i\/(-2)). Let l be (-6)\/33 + 53\/(-11). Put l, 5, v in decreasing order.\nAnswer: 5, v, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2\/5, 1\/3, 0.11, -0.1, -14.11, 10, 7?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -159, -418, -677, -930, -1171, -1394?\n\"Answer: c**3 - 6*c**2 - 248*c + 94","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1453 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1470051313 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 70525?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 1873, 27355, 96517, 231199, 453241, 784483, 1246765, 1861927?\n\"Answer: 3640*w**3 + 2*w - 1769","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -11*a + a + 20. Suppose -4*k = a*k - 12762. Suppose 13*q + k = 16*q. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 39022 is divided by 19461?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 189680285 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 22 + -28. Which is the biggest value? (a) 0.5 (b) -0.5 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24989 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1492 to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by -33515\nAnswer: -3\/33515","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 17.2 + -17.2. What is the nearest to 1\/2 in -13, 0.2, v?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-6)\/(-4) + 840\/(-9). Let v = -92 - b. What is the common denominator of v and 1\/10?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 64\/3 of a hour?\nAnswer: 1280","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (124\/3)\/(-4)*-33. Calculate the greatest common factor of 31 and a.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -202*x - 130. Let d be q(-8). Suppose -y = 2*y + 4*r - d, 5*y - 2466 = 4*r. What are the prime factors of y?\nAnswer: 2, 13, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*m**3 - 8*m**2 + 8*m**2 + 594*m - 594*m.\nAnswer: 15*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-12010)\/(-90)*3)\/(0 + 2\/36). Calculate the highest common factor of q and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -278 or -234?\nAnswer: -234","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(2\/15)*b)**(-3\/17)*b*b**(-26)*b**4 assuming b is positive.\nAnswer: b**(-106\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) be the second derivative of -s**4\/12 + 3*s**2\/2 - 6*s. Give l(-3).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a = -5*m - 26, -m = 4*m + 4*a + 28 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-36)\/6)\/(-1 + -1). Solve 0 = -j*i - 5*v - 13 - 12, -25 = 5*v for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 28902252.\nAnswer: 2, 3, 233, 10337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -2*d + 5. Let z = 18 + -21. Let a = z + 8. Calculate g(a).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 24 + -21. Suppose 0 = -4*i + 2*x + 66, 5*x = i + 3 + y. What is the highest common factor of i and 38?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -17 + -595?\nAnswer: -5ac","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 225*p - 430 - 1370 for p.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 19595*j**5 + 205*j**3 - 12224989*j**2 wrt j?\nAnswer: 1175700*j**2 + 1230","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Let t = 1.295 + 0.705. Let z be 66\/(-42) + -1 + 3. Let v be -2 - (1 + 4)*-1. What is the third smallest value in 0, t, z, v?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-1\/5)\/a**5)\/(a\/(a*a*(a*a**5)\/a)*a**(3\/7))*((a\/a**(-2\/7)*a)**(-34))**17 assuming a is positive.\nAnswer: a**(-46227\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-seven fifths of a micrometer in nanometers?\nAnswer: 7400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.1 and -138339?\nAnswer: -13833.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 89321.48 less than -2?\nAnswer: -89323.48","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -35, -72, -109?\nAnswer: -146","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2 + -13433?\nAnswer: -13440","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 27\/2 of a litre?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - 5*c = -15, -2*c + 28 = 5*h + c. Let k be (0 - 0)*(h\/(-2))\/5. Suppose 11*l - 5*l - 474 = k. List the prime factors of l.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 149, -1, 0, 9 in decreasing order.\nAnswer: 149, 9, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 13, -33, -111, -221?\nAnswer: -363","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -140*m + 1680. Calculate the smallest common multiple of 840 and c(6).\nAnswer: 840","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -817\/2 - -1996\/5. Calculate the common denominator of -95\/52 and l.\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 1 z when two letters picked without replacement from {z: 2, e: 3, n: 15}.\nAnswer: 3\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q = g + 10, -q = q + 2*g + 4. Suppose -7*a + q*a = -10. Find the second derivative of a*j + j - j - 3*j**3 wrt j.\nAnswer: -18*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-26)\/(-8))\/(24*(-19)\/(-1824))?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3539*h - 1761*h - 1772*h.\nAnswer: 6*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 70969398 is divided by 2161.\nAnswer: 2158","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1424 - 340511?\nAnswer: -342335","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 16 and 5120.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.8 in -1\/3, 3\/7, 2\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 93481991 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) be the third derivative of 5*s**8\/336 - s**6\/8 + s**5\/6 - s**2 - 39*s. Find p, given that u(p) = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d = -6*d + 15 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22 + 26 - 64722*u**3 - 54 - 2*u**2 + 2*u**2.\nAnswer: -64722*u**3 - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -10\/51 and -27\/3298?\nAnswer: 9894","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 46 = 5*v + 12, -5*v = -5*j - 25. Suppose -13*b + v*b + 21 = 0. Solve -3*r = 18 - b for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 444\/(-42) - (2 + 91\/(-49))*-4.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 1232 and 12968.\nAnswer: 14200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) be the first derivative of 0*k + 5\/4*k**2 - k**3 + 57 + 1\/8*k**4. Let s(f) = 0. What is f?\nAnswer: 0, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -2705, -5407, -8109?\n\"Answer: -2702*t - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -444 (base 6) in base 5?\nAnswer: -1142","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 82 (base 13) to base 5\nAnswer: 411","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 208, 410, 590, 742, 860?\nAnswer: 938","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 4, -83\/5, -0.5, 2\/15.\nAnswer: -83\/5, -0.5, 0, 2\/15, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h = -2*w + 19, -25*w + 20 = -5*h - 24*w for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) be the second derivative of y**5\/20 + y**4\/3 + y**2 + y. Let h be m(-4). Suppose -h*a + 34 = 3*b + 2*b, -b + a + 4 = 0. Solve 6*r = 3*r + b for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - r = -68, -5*p + 211 = 3*r - 137. Suppose p*z + 22 = 73*z. Calculate the least common multiple of 20 and z.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 8*l**2 + 24*l - 122. What is the hundreds digit of x(-21)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 5, -1, -14, -5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in five quarters of a litre?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 145525 less than 5076070?\nAnswer: 4930545","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -22, 0, 62, 406 in decreasing order.\nAnswer: 406, 62, 0, -22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = f**2. Let y = -1 + 11. Let s(c) = -y*c**2 - 4*c**2 + 11*c**2. Determine s(v(a)).\nAnswer: -3*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 350 + -50. Calculate the greatest common divisor of i and 30.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 69\/(-253)*18\/(-9)?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2523376 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 13) to base 4.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 - (-320)\/20 - (-2534)\/(-315).\nAnswer: -2\/45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 292*h**3 - 2*h**2 - 2*h - 1. Let m be 0 - 1\/(1 + 0). Let o be p(m). Let z = o - -4397\/15. What is the biggest value in z, 2\/7, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 16782964 times 4\nAnswer: 67131856","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 10938870 divided by -45\nAnswer: -243086","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1973 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 59076680549 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 - 3 + 5*t + 3*t.\nAnswer: 8*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1528\/1833 + -35\/39. Let p = -229\/94 + q. Suppose 4*x + 4 = -2*u, 2*x - u + 10 = -0*x. Is x greater than or equal to p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 399 minutes after 11:58 PM?\nAnswer: 6:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 2*r - 3*r + 0*r)*(2*r**3 - 6*r**3 - 2*r**3 + (4 + 1 - 2)*(r**3 - 3 + 3)) + (4*r**3 - 6*r**3 + 3*r**3)*(-r - 2*r + r + 1).\nAnswer: r**4 - 2*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 y when three letters picked without replacement from yjjyyjjjyj?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -x + 3. Let d be y(0). Which is smaller: d or 4?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:26 PM and 2:46 PM?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -0.01 (b) -220 (c) 32\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 536 + 56?\nAnswer: 625","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4937 is divided by 1570.\nAnswer: 227","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 3869532 to the power of 1\/2, to the nearest integer?\nAnswer: 1967","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -77\/106958 and -79\/9305346?\nAnswer: 9305346","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 93 (base 13) in base 3?\nAnswer: 11110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) be the first derivative of s**2\/2 - s - 29. What is m(2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 2432, 4872, 7318, 9776, 12252, 14752, 17282, 19848?\n\"Answer: c**3 - 3*c**2 + 2442*c - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 24432 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 897?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1762, 3583, 5406, 7231, 9058?\nAnswer: 10887","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -25.2132 - -23.017. Round j to one dp.\nAnswer: -2.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 79*f = 80*f - 3. Let z(c) = -4*c**3 + 0*c**2 - c - f*c**2 - c**3. Calculate z(-2).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) be the third derivative of 5*k**4\/8 + k**3\/3 - 11*k**2. Is h(17) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*d = -8789 - 823. What are the prime factors of d?\nAnswer: 3, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -654, -661, -672, -687, -706, -729?\nAnswer: -756","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -209432, -418754, -628076, -837398, -1046720?\nAnswer: -1256042","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) be the first derivative of -2\/3*k**3 - 1\/3*k**4 + 0*k**2 + 1 + 3*k. Let v(h) be the first derivative of s(h). Find the second derivative of v(j) wrt j.\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 3 = j - 0*w, w - 21 = -3*j. Let p(z) = 15 + 7*z - 1 + 8*z. Let g(u) = 7*u + 7. Let t(i) = j*p(i) - 13*g(i). What is t(-3)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -559 (b) 0.4 (c) -10\/201\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is fifteen quarters of a litre in millilitres?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -1104010 (base 7) in base 6?\nAnswer: -2524511","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6 - (1 - 0)) + (-160 - -153)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ggtwgnglgwgntg. Give prob of picking 2 n.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: What is 35049 to the power of 1\/4, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out -8141 * -1.3266.\nAnswer: 10799.8506","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/(f*f**3\/f))\/f**(-2))**(-2\/85) assuming f is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 19768638 to the power of 1\/3, to the nearest integer?\nAnswer: 270","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 7368 - -1372. List the prime factors of k.\nAnswer: 2, 5, 19, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 9\/10 of a litre?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 - 10 - 52*h + 12 to the form t + u*h and give u.\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 29 + -45. Is (21\/12)\/((-2)\/w) a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) be the first derivative of d**5\/40 + 35*d**3\/3 - d + 132. Let m(b) be the third derivative of l(b). Let i(t) = -96*t**2. What is m(i(w))?\nAnswer: -288*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -7*k**2 - k - 4. Let o(r) = -13*r**2 - 3*r - 7. Give 11*h(b) - 6*o(b).\nAnswer: b**2 + 7*b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3 + -2 + sqrt(147))**2 + ((sqrt(147) + 2*sqrt(147))*2)**2 + sqrt(147))*2*6.\nAnswer: 252*sqrt(3) + 65280","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -330130 (base 7) in base 8?\nAnswer: -160536","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 303 is divided by 38?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10\/156*35\/((-2100)\/24)*6.\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -123 + 126. Suppose t*d = -d + 1488. List the prime factors of d.\nAnswer: 2, 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 485 minutes after 2:46 PM?\nAnswer: 10:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2baab - -d6?\nAnswer: 2bb81","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2)*5 + 3 + sqrt(4)\/(sqrt(6)\/sqrt(3)) + sqrt(2) + -2*sqrt(98)*-5 + -1 + -3)**2.\nAnswer: -154*sqrt(2) + 11859","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-13 - (-13 + 4) - -1) + 0 + -2?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -2*l + 1. Suppose -k = -l*k + 24. Is k a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.5, -0.30125, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 102221210001211 (base 3) to base 4\nAnswer: 120033012010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 55850, 55849, 55848, 55847, 55846, 55845?\n\"Answer: -x + 55851","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 6 - 12*b**2 + 6 - 4*b**2 - 6*b - 3. Let w(s) = 47*s**2 + 17*s - 27. Let k(d) = 17*n(d) + 6*w(d). Differentiate k(c) wrt c.\nAnswer: 20*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t = -5*t - 28. What is the common denominator of 14\/33 and t\/(-5) + (84\/(-18) - -4)?\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6500634?\nAnswer: 2, 3, 7, 22111","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100 + -10101100101110110?\nAnswer: -10101100101111010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.05 or 328878?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d - 4 = -a, 3*d = -3*a + 7 + 2 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**17\/j**(1\/27) assuming j is positive.\nAnswer: j**(458\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -232 = -5*j + 483. Let p(f) = 4*f**2 - 1. Let z be p(1). Suppose w - 3*q = 4, 2*w - 3*w - z*q = -22. What is the greatest common factor of w and j?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10\/(160\/(-12)) - (-1895)\/4 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -51, -95, -123, -129, -107?\n\"Answer: u**3 + 2*u**2 - 57*u + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -f**3 - 3*f**2 + 2. Let m be c(-2). Let i = 13 + -7. Is (m\/i)\/(2\/(-36)) a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.301 * 7\nAnswer: 2.107","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 522*v - 98 = 499*v + 40 for v.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -61 + (-8 - -66) + -37.\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -d - 7. Let f be m(-3). Let x be (-8)\/(-6)*3\/2. Let i be (2\/(-18))\/((-1)\/x). Which is the biggest value? (a) f (b) i (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10210 - 212?\nAnswer: -11122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 389373?\nAnswer: 3, 107, 1213","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -2*a + 1. Let q be g(-2). Suppose 77*k - 76*k = 2*p, -4*p = -5*k. Solve k = -9*t + 4*t - q for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 246 minutes before 1:57 AM?\nAnswer: 9:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1\/4, -4, 2, -0.607?\nAnswer: -0.607","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) be the first derivative of 27*y**4\/4 - 43*y**3 + 39*y**2 + 24*y + 73. Determine r, given that z(r) = 0.\nAnswer: -2\/9, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 - ((6 - 8 - 3) + -14 - -15)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 3423?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x - 5*f + 11 = 0, 3*x - 14 - 1 = 3*f. Which is the nearest to 0.1? (a) -2 (b) -3 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0 (b) 4\/5 (c) 2\/35 (d) -0.12\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1468877 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 104280727 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 23161388?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = d**2. Let x(r) = -28287*r**2 - 18*r. Let n(m) = 16972*m**2 + 11*m. Let i(u) = 18*n(u) + 11*x(u). Give l(i(w)).\nAnswer: 32046921*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4346805 - 4346805 - 3*o**2.\nAnswer: -3*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-6)\/21 - 3658\/(-14). Let p = d + -193. Is p a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -4352 - -352?\nAnswer: -4000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = 5*z - 2*l, l + 1 = 2*z + 2*l. Suppose 3 = 3*d - 0*d - b, -3*d + z*b = 3. Are 5\/2 and d equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.6? (a) 0.4 (b) -0.1 (c) 1\/5 (d) -1\/9 (e) 11 (f) -112\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -278 * -0.5.\nAnswer: 139","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 4*h + 7. Let u(s) = -9*s - 14. Let r(x) = -3*u(x) - 7*z(x). Let q be r(-11). Find the common denominator of ((-147)\/q)\/(-3) + 2 and 161\/66.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of (-29 + 1)\/(-1)*2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -13\/90 and 169\/220093902.\nAnswer: 1100469510","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24670 = 62*a - 10298. What is the tens digit of a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -180*b - 2*b**2 + 180*b.\nAnswer: -2*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m = -4*p + 26, 5*p = -2*m + 13 - 3. Suppose a = 4*a - 6. Let l(r) = -r**2 + 6*r - 2. Let g be l(6). Sort g, a, p.\nAnswer: g, a, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -2 + 2*b - 2 - 6. Let m be o(9). Let i = 10 - m. Solve -3*d = a - 18, -d = -a - 0*d - i for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 9\/6 + 19\/(-10). Let y = 1 - 0. Let t = -1 + y. Which is the closest to t? (a) f (b) 0.2 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -6*o**3 + 112*o**2 + 20*o. Let v(r) = -2*r**3 + 37*r**2 + 6*r. Give -11*v(i) + 4*x(i).\nAnswer: -2*i**3 + 41*i**2 + 14*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, 17, 3 in descending order.\nAnswer: 17, 6, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1267, 25, -5, 4 in ascending order.\nAnswer: -1267, -5, 4, 25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3970538, 7941084, 11911628, 15882170?\nAnswer: 19852710","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -8051.607 * -9.\nAnswer: 72464.463","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0 + 2. Let z be (19*1)\/(0 + 1). Suppose -y - z = -3*j, 6*j - l*j - 40 = 5*y. What is the second biggest value in -2\/9, 10, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -1, -2, 3 in descending order.\nAnswer: 3, 0, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9333727?\nAnswer: 13, 717979","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b = 2*b - 2. Let s be b\/(-2 - 21\/(-9)). What is the second derivative of -t + 6*t**3 - 2*t**3 - 3*t**s wrt t?\nAnswer: 6*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.0052 - 0.3948. Which is the closest to 2\/43? (a) s (b) -0.2 (c) 5 (d) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3528 - -3530. Let u(j) = 52*j**2 + 3*j - 7. Let g(f) = -f**2 + f. Let x(q) = 5*g(q) + u(q). What is the tens digit of x(a)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 408*d*u**2 - 2386011*d - 2668*u wrt u?\nAnswer: 816*d*u - 2668","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -105.256565 to 1 dp.\nAnswer: -105.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.003456 to five dps.\nAnswer: -0.00346","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -3b9 + -7828?\nAnswer: -7c14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 305449 is divided by 14544?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c = -d - 2*c + 57, 4*d - 198 = -5*c. What is the tens digit of d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -0.001, 2\/1437, 0.4?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 32\/5 of a litre in millilitres?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 31503222?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/10 + (3 - (-174)\/(-60)).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k + 129 = -75. Let u = -26 - k. Is u a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -g**2 + 42*g - 78. Give i(40).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 8*z**2 + 2*z - 72. Let w(l) = 27735*l. Determine c(w(b)).\nAnswer: 6153841800*b**2 + 55470*b - 72","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -1bcc (base 13) in base 9?\nAnswer: -5713","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*-3*(-1*sqrt(171) - sqrt(171))*2)**2 + (1 + -1 + sqrt(171) + sqrt(171) + -2*sqrt(171)*-3)**2.\nAnswer: 35568","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/(-15)*((-26)\/(0 + 13) - -257).\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 595 minutes before 7:48 PM?\nAnswer: 9:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wzrni. What is prob of sequence wz?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23034 = -591*h + 3531 for h.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -p**3 + 8*p**2 - 9*p - 16. What is the hundreds digit of a(-36)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/7)\/((30\/(-35))\/(-6))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 40186 to the power of 1\/2, to the nearest integer?\nAnswer: 200","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2\/(-9) + (-404)\/(-36) + -8. Suppose 0 = -u + 3*z - 13, -y*u - 27 = -5*z - 0*z. Which is bigger: u or -21?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of -9*(-672 + -17 + 0 + 3).\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = j**2 + j - 15. Let i(l) = l**2 + 16*l - 15. Suppose -111 + 43 = 4*a. Let q be i(a). Let v = q + -2. What is x(v)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 923 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 118 a factor of 8719350?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find v, given that -v**2\/8 + 3542685*v\/8 - 31884003\/4 = 0.\nAnswer: 18, 3542667","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 343 - -55. What are the prime factors of r?\nAnswer: 2, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is f in -39*f**5\/2 + 435*f**4\/2 - 852*f**3 + 1452*f**2 - 984*f + 120 = 0?\nAnswer: 2\/13, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 20.08225 centuries in months?\nAnswer: 24098.7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -3593 (base 12) to base 8\nAnswer: -13577","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(847) + 0)**2 + (sqrt(847)*2*2)**2 + -5.\nAnswer: 16935","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-5*2*sqrt(120))\/sqrt(10))\/((sqrt(484) - (sqrt(484)*2 + sqrt(484)) - sqrt(4))*5))**2.\nAnswer: 12\/529","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) be the second derivative of -7*q**2 + 21*q - 2*q**3 + 0*q**2 + 6*q**3 - 4*q**2. Is r(5) a multiple of 49?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*s - 2 = -25*s. Let u be 4*(3\/12)\/(-1 - s). Which is greater: u or -1\/15?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -95224 divided by 11903?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 99226?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-9)\/((-243)\/6) - ((-6552)\/81)\/14. Calculate the greatest common factor of 5 and v.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 742979*h - 21. Let i(u) = 3*u**2 + 4*u. Let p be i(-1). Let x be t(p). What is x rounded to the nearest ten thousand?\nAnswer: -740000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -45451, -45453, -45455, -45457, -45459, -45461?\n\"Answer: -2*t - 45449","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 683 is divided by 119?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (31 - 33 - 50 + (5 - 2 - 1)*(3 + 2 - 3) + 0 + 3 - 4)*(4*v**2 + 0*v**2 - 3*v**2) to l + j*v**2 + g*v and give j.\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1.5182 + 1.2182. What is the closest to 2\/5 in k, 3\/5, -1\/5, -0.028?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor y**4\/4 + 33841*y**3 + 1145619301*y**2 + 27480245640*y + 164852240400.\nAnswer: (y + 12)**2*(y + 67670)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) be the first derivative of -3*h**2 + 2. Let w(a) be the first derivative of a**2\/2 - 2. What is q(w(b))?\nAnswer: -6*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 44899103, 44899117, 44899131, 44899145, 44899159, 44899173?\nAnswer: 44899187","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2911 by 41.\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3 - 3.1. Let d = 91\/5 + -829\/45. What is the nearest to 0 in d, s, -4?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 21710 and 137758634?\nAnswer: 4342","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 times 0.0403?\nAnswer: 0.00806","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -21 - (-6 + 11 - 17)\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 27*x - 26 - 28. Let u(y) = 0*y**2 - 2*y**2 - x*y**2 + 5*y**2 + y**2. Let k(m) = -75*m**2. What is u(k(c))?\nAnswer: 11250*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u*u\/(u*u*u**(-20))*u*u**(15\/7))**(3\/7) assuming u is positive.\nAnswer: u**(507\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 2*v**2 - v + 6. Give p(-5).\nAnswer: 61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1500677.858741 + -1500677. Let f = -13.241699 - v. Let u = f - -14.1. Round u to four decimal places.\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + -2 + (0 - 3).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: ((32 - 30) + 1 - (56 + 1))\/1\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 191895 a multiple of 33?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*s = -2*s - 4*j - 124, 0 = -5*j - 5. Let w be (-18165)\/(-692)*4\/(1 + 0). What is the greatest common factor of s and w?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2688755 and 24435?\nAnswer: 905","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 487221 is divided by 14324?\nAnswer: 205","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -2*v. Let j be o(-3). Let i(d) = 7 - 4 + 2*d**2 - j*d - d**2. Let p = 37855 - 37848. Determine i(p).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 137720 and 482020?\nAnswer: 964040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4? (a) 5 (b) 0.2 (c) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -p + 3*s + 2*s, 5*s = 3*p + 5. Suppose 0 = -p*m + 2*m - 50. Let g be (m\/15)\/((-1)\/(-6)). What is the highest common divisor of g and 40?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 2*f**2 + 14*f + 5. Let y(t) = 9*t**2 + 57*t + 21. What is 21*l(r) - 5*y(r)?\nAnswer: -3*r**2 + 9*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 942 divide 6754124?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*a = g - 17*a + 26, 12 = -3*g - 4*a for g.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -2*j**2 - 337*j + 2. Let p(o) = -4*o. Calculate f(p(s)).\nAnswer: -32*s**2 + 1348*s + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1.7 + -1.25. Let o = c + -0.05. Let y = -1.5 + 1. What is the biggest value in o, 0.3, y?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 71 - 42. Let b = -25 + d. Suppose -f = -4, 5*f = -b*u + 2*f + 548. Is u a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11023333 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1167 or 1\/350?\nAnswer: 1167","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 7248 <= 79734\/11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 364745782919 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = -6*n + 5*h + 156541, 4*h + 195683 = 5*n. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 259 = 2*s - 5*k - 226, 0 = 3*k + 3. Suppose -s = -28*h + 13*h. Calculate the highest common divisor of h and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b - 12 + 66 = 0. Calculate the remainder when 71 is divided by b.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*sqrt(1053) + 4.\nAnswer: 4 + 9*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/29, 4, 1532 in ascending order.\nAnswer: 2\/29, 4, 1532","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = l**2 - l + 1. Let a(c) = 3*c - 7. Let h(x) = 19*x - 45. Let r(g) = 39*a(g) - 6*h(g). Determine -3*j(p) - r(p).\nAnswer: -3*p**2","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -g - 7. Let j be k(0). Let z = -3 - j. Suppose -z*m = -m - 63. What is the remainder when m is divided by 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (45\/(-20))\/(3\/8). Let l(n) = -n - 5*n - n**3 + 9 + 4*n**2 - 1. Let x(b) = -2*b**3 + 7*b**2 - 11*b + 15. Calculate p*x(c) + 11*l(c).\nAnswer: c**3 + 2*c**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 10 - -22413141410?\nAnswer: 22413141420","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 612 and 0.17304?\nAnswer: 105.90048","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 31031 + 83204 = -5*q, -2*q + 12 = 0. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 69 and 345.\nAnswer: 345","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 369, -419, -2, -0.4, 33, 1\/3.\nAnswer: -419, -2, -0.4, 1\/3, 33, 369","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 28 - 26. Find the first derivative of -4*g**2 - 3 - 4*g**r + g**2 - 10 wrt g.\nAnswer: -14*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4688?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 + -12 + 19 + -1 + -16 + -1?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ccccxxccccccccxt. What is prob of sequence xcxt?\nAnswer: 3\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 14390, 57607, 129642, 230501, 360190, 518715, 706082, 922297?\nAnswer: 1167366","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -18*u**2 - u + 2. Let k(n) = -17*n**2 - n + 3. Let d(g) = 3*k(g) - 4*m(g). Let r = 0 + -1. Is d(r) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 28432714?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (1355*i + 36189 + 36193 - 72385)*(0*i**2 + 3*i**2 - 4*i**2) - 2*i**3 + 2*i**2 - 2*i**2 as k*i**2 + w + n*i + p*i**3 and give k.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) be the third derivative of t**4\/6 - 2*t**3\/3 + 8*t**2. Determine k(3).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20167481?\nAnswer: 23, 197, 4451","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 212*d + 57. Suppose -4*b = -7 + 3, 0 = 4*o - 4*b + 28. Let l be 3\/o*10 + 10. Is r(l) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -183 = -2*i + 237. Suppose -i = -u - u. Suppose 2*l + 0*l - 5*a = u, -3*l + 147 = -4*a. What is the highest common divisor of 18 and l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8)\/(-3) - 70\/35?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2300 (base 8) in base 11?\nAnswer: a06","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.67 take away -2.96209?\nAnswer: 3.63209","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (36 + (-720)\/20)*(3 - (-56)\/(-20)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -290 + 295 + (-2 - -1) - 12.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1643*p*s**5 + 2*p*s**2 - 2*p*s + 119*p - 184*s**5 + 27*s**2 - 4*s wrt s.\nAnswer: -98580*p*s**2 - 11040*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 39*t - 37*t - 224. Let g = t - 109. Let u be 4\/6 - (-4)\/(-9). What is the nearest to g in -4, -2, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 2 + -14224?\nAnswer: -14222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -q**3 - 3*q**2 + 2*q - 3. Give t(-3).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = n**3 - n**2 - 2*n + 2. Let g be t(2). Solve 5*u = 18 + g for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -9.75 - 0.25. Let l = -11 - q. Let g = l - -1.3. Sort 1, g, 3 in increasing order.\nAnswer: g, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 2, s: 10}. Give prob of picking 1 s and 1 v.\nAnswer: 10\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -x**3 + x**2 + x + 2. Let m be u(0). Solve 0*a - m*a = 5*q + 10, -4*q - 8 = -2*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 19010414 to the nearest integer?\nAnswer: 4360","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -184, 983, 3616, 7829, 13736, 21451?\nAnswer: 31088","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.5678387ng to grams.\nAnswer: 0.0000000005678387","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -2592 * 799\nAnswer: -2071008","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 487 is divided by 121?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 8107 a multiple of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = w**3 + 2*w**2 - 10*w - 6. Let f be n(-4). Suppose u - f*u = -4*x - 59, 3 = -3*x. What are the prime factors of u?\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -12, 1, -7, -2, 10 in ascending order.\nAnswer: -12, -7, -2, 1, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + sqrt(3))**2 + 0 + 5)*-6.\nAnswer: -54 + 12*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = i**2 - i + 163. Is p(0) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 0 + -b444?\nAnswer: -b444","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*(y**5*y)\/y*y*y*y**(-12\/7))\/(y**(5\/4))**24 assuming y is positive.\nAnswer: y**(-166\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (74\/(-111))\/((-3)\/(-207)*2)\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2.35 + 1.95. Sort 1\/10, v, 0 in decreasing order.\nAnswer: 1\/10, 0, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f - 23 + 7 = 0. Let b be ((-3)\/2)\/((-9)\/12). Suppose -y = -5, r = -r - b*y + 4. Which is greater: r or f?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -o**2 + 8*o + 142 + 142 - 507 + 129 + 120. Calculate f(10).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1 and 1692?\nAnswer: 1692","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -k - 14. Let o be x(-14). Let f(s) = -s**2 - 3*s + 24. What is the remainder when 70 is divided by f(o)?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 2185, 4371, 6557, 8743, 10929, 13115?\n\"Answer: 2186*s - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 18 + -16. Suppose 16 = a*m + 2*m. Suppose -11*r = -5*r - 36. Solve -g + 15 = -4*d, -m*d - r*g = -g + 45 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.099 in 0.11, 3, 787, -2\/17?\nAnswer: 0.11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -67.4 rounded to 0 decimal places?\nAnswer: -67","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 4*r**3 + 103*r**2 + 29*r - 5. Is h(-23) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -5*v - 34. Let r be f(-10). Find the third derivative of -11*x - 3*x - r*x**5 + 11*x**2 + 14*x wrt x.\nAnswer: -960*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(-1\/4)*y)**(-20))**(3\/7) assuming y is positive.\nAnswer: y**(-45\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2925827318?\nAnswer: 2, 37, 39538207","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*r**2*v**4 + 226*r**2*v - 8*r**2 - 4963*v**4 wrt v?\nAnswer: -36*r**2*v**2 - 59556*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 - 2*d + 0)*(-d - 2*d - d) + 712*d**2 - 1437*d**2 - 1508*d**2 to the form g*d**2 + k + c*d and give g.\nAnswer: -2225","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.06 from 2.685.\nAnswer: 2.625","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10816119?\nAnswer: 3, 400597","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -5421630 divided by 2\nAnswer: -2710815","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 171.1527 centuries in years?\nAnswer: 17115.27","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-6)\/(-24) + (-7)\/(-4). Suppose -r - 4 = 0, -h + r = -3*h + m. Solve 0 = 3*l, 4*l - h*l = -2*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2976012 a multiple of 1301?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 14, -1, -13 in descending order.\nAnswer: 14, -1, -5, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -p**3 - 6*p**2 + 29*p - 4. Determine t(-9).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-6*a + 5*a + 5*a)*(-9116 + 6358 - 8888 + 2 - 2 - 2 + (3 - 1 - 1)*(-2 + 4 - 4)) to the form w + h*a and give h.\nAnswer: -46600","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 48 and 54522656.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -77 + 55 + 166 + -104.\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = 4*d - 8, 0 = 2*d + 4*i + 8 - 0. Suppose -g + 16 = g. What is the smallest common multiple of (2 - 1)\/(2\/d) and g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 68 = 5*z, -25 = -2*h + h - 4*z. Let j = 1117 + -558. Suppose 5*v - j = -149. Calculate the remainder when v is divided by h.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -13*u + 12*u - 4*i + 14, 2*u - 2*i = 8. Which is the fourth smallest value? (a) u (b) 11\/14 (c) 4 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -249, 608, 1459, 2304, 3143, 3976, 4803?\n\"Answer: -3*s**2 + 866*s - 1112","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 + 3 - 4)*(7 - 4 + 2)*(-2 - k + 2) to u*k + f and give u.\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 348 + -2214?\nAnswer: -1b99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 6380137522?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 2*a**3 - 11*a**2 + 6*a. Let i be l(5). Solve -2 = i*s - 2*p - 1, -2*s + 3*p + 4 = 0 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 108310 to the nearest integer?\nAnswer: 329","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -61644, 857.\nAnswer: -61644, 3, 857","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) be the second derivative of -y**5\/10 + 3*y**4\/2 - 9*y**3 + 27*y**2 + 6*y. Factor g(c).\nAnswer: -2*(c - 3)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 205476 and 60?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-9)\/(-21) - (-162)\/14. What is the greatest common factor of s and 18?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -18*a + 2. Let k(w) = -36*w + 5. Give -3*k(i) + 7*y(i).\nAnswer: -18*i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -83012.6731 + -3.5?\nAnswer: -83016.1731","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 32262 is divided by 10752?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 140e966 + 0?\nAnswer: 140e966","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (-66*56\/(-70224))\/(-1)?\nAnswer: -1\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.5 * 899.545.\nAnswer: -449.7725","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -2.08*74526.5\nAnswer: -155015.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 22, -64, -370, -1004, -2074, -3688, -5954, -8980?\nAnswer: -12874","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) be the first derivative of -4*n**5\/5 - n**4 - 6. Factor p(v).\nAnswer: -4*v**3*(v + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -16*m + 13*m - 878 - 876 + 1755 + 11*m**2. Let u(q) = -1 + 0*q**2 + 7*q**2 - 2*q + 2. Suppose -6*x + 16 = -4*x. Calculate x*u(i) - 5*p(i).\nAnswer: i**2 - i + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1796 and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wwaa when four letters picked without replacement from {w: 2, a: 8}.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, 65, -4, -29, -7, -3.\nAnswer: -29, -8, -7, -4, -3, 65","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6862135?\nAnswer: 5, 7, 17, 19, 607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 665 divided by -5.\nAnswer: -133","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 1 - 4 = 0. Let k be (0 - h)\/(4\/16). Suppose -f + 0*f = -k. What is the lowest common multiple of f and 6?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*g**2 + 35 - 35 + (50*g - 382*g - 29*g)*(-3 + 0*g - 2*g + 5).\nAnswer: 724*g**2 - 722*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -95 divided by 95\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 11.3000731 to 1 decimal place.\nAnswer: 11.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -r - 2. Let p be b(-6). Suppose -13 = n - p*d + 7*d, 2*d = -8. Let v = n + 2. What is the units digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -514204, -1028470, -1542736, -2057002, -2571268, -3085534?\n\"Answer: -514266*z + 62","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -2485 plus 23.516748?\nAnswer: -2461.483252","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 309817.67 to the nearest one thousand.\nAnswer: 310000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 124 a factor of 10660665?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 12 and 8964.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3800*o + 32248 + 73513 + 47873 = -78166 for o.\nAnswer: -61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 1006, 1000, 994, 988?\n\"Answer: -6*f + 1012","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1\/3 (b) -4 (c) 2\/5 (d) 4\/3167\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 times -0.35?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:00 AM and 2:50 PM?\nAnswer: 470","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 8815.499 micrometers in nanometers?\nAnswer: 8815499","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) be the first derivative of b**2\/2 - 86. Let c(k) be the third derivative of 0*k**3 + 0 + 0*k + 4*k**2 - 23\/24*k**4. Give c(w(p)).\nAnswer: -23*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) be the second derivative of 2*h**7\/21 - 2*h**4\/3 - 8*h. Find the third derivative of t(d) wrt d.\nAnswer: 240*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -162, 3\/5, -5, 0.2, -6?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -236*t - 4*k = -238*t + 6, -5*t = 2*k - 15 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 16673 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2743, -2744, -2747, -2752?\nAnswer: -2759","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 192 greater than 6995?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -40 - 62. Let j = l + 102.00053. Round j to 4 decimal places.\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + -3*(-5 + (sqrt(7) - (-2*sqrt(1008) - sqrt(1008))) - (sqrt(56) - sqrt(448)\/sqrt(200) - sqrt(56))\/sqrt(8)) + -3.\nAnswer: -558*sqrt(7)\/5 + 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*d - 549*d**3 + 57*d**4 - 2*d + 269*d**2 + 547*d**3 wrt d.\nAnswer: 1368*d - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 4*y - 2 = 6, -4*y + 8 = 4*c. Suppose 2*m - 4*w + 12 = -c, -20 = -4*w. Let z be ((-11)\/(-3) - m)*-3. Which is smaller: 6 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1632665 and 146939850.\nAnswer: 146939850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -966238, -1932453, -2898662, -3864865, -4831062, -5797253?\n\"Answer: 3*j**2 - 966224*j - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2.98 - 4.28. Which is the fourth smallest value? (a) 0.5 (b) z (c) -0.4 (d) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 1168*c*q + 57*c + 261972*q wrt c?\nAnswer: 1168*q + 57","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6, 7, 4, -3?\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 207205*b**2*h**3 - b**2 + 13*b + 101152180*h**3 wrt b?\nAnswer: 414410*b*h**3 - 2*b + 13","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 39473177563 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 3, r: 3, v: 8, i: 2}. Give prob of picking 2 i and 1 h.\nAnswer: 3\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 40 divide 31922500?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 294*b**2 - 24*b - b + 290*b**2 - 581*b**2.\nAnswer: 3*b**2 - 25*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-6)\/(-4))\/(36\/3872) + 20\/(-60). Which is smaller: u or 158?\nAnswer: 158","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) be the third derivative of -1301*h**9\/504 - 1073*h**5\/60 + 2*h**2 - 140*h. What is the third derivative of s(y) wrt y?\nAnswer: -156120*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 800317, 800306, 800285, 800248, 800189, 800102, 799981, 799820?\n\"Answer: -b**3 + b**2 - 7*b + 800324","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + 4 - 2 - 6.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 667 minutes after 9:00 PM?\nAnswer: 8:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(231)\/(sqrt(14)\/(sqrt(2)*2)))\/((sqrt(11) - 5*sqrt(11))*3*3).\nAnswer: -sqrt(3)\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = y**3. Let h(o) = -2*o**4 - 28*o**3 - 18*o**2. Let f(a) = -8*d(a) - h(a). Factor f(g).\nAnswer: 2*g**2*(g + 1)*(g + 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 59291 - 41901. What is the ten thousands digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10536252341 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 102271 is divided by 667?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wwk when three letters picked without replacement from yyucvvcckcccywyvywww.\nAnswer: 1\/570","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -43*p - 11. Let r(w) = 4*w + 1. Let j(i) = 6*a(i) + 66*r(i). Let g(b) = 3*b + 24. Give j(g(k)).\nAnswer: 18*k + 144","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = g**3 + 7*g**2 + 4*g + 2. Let d = -3 + 8. Suppose 0 = -5*m + 15, 6*m - 42 = d*t + 2*m. What is the units digit of p(t)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 50021 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -6307 - -9069. What is the remainder when d is divided by 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 7*t + 5. Let i be r(5). Solve -16 + i = -8*m for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-3)\/(-6)*1*-6. Let f = 1287\/5 + -257. Is f bigger than g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = t**3 - 5*t**2 + 7*t. Let n(d) = -d**3 + 8*d**2 - 11*d. What is -8*g(l) - 5*n(l)?\nAnswer: -3*l**3 - l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -cd8 (base 15) to base 8\nAnswer: -5527","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xxlxxxxxxxxlxlxx. What is prob of picking 3 x?\nAnswer: 143\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = d**3 - 4*d**2 - 5*d + 4. Suppose -10 = -f - f. Let k be r(f). Let n(b) = 6*b - k - b - 4*b - b**2. Let a(q) = q**2 - q + 5. Give -4*a(h) - 5*n(h).\nAnswer: h**2 - h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -206 + 268. Let l = 62.5 - b. Put l, -10\/7, 3, 2\/5 in ascending order.\nAnswer: -10\/7, 2\/5, l, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 2\/8 + 3029\/(-676) and (-1)\/(-9)*-3 - 628\/24.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3889\/8 - (410\/80 + -5) a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = j**3 - 8*j**2 - 8*j + 9. Determine i(9).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 9 - -3. Suppose 0*p + s = 4*p. Solve p*y - 1 = 4*y for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -88.09 to zero decimal places.\nAnswer: -88","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -594*b + 7769. Determine f(13).\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-25)\/(-15)*36*7\/7770.\nAnswer: 2\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-8)\/d*d**3*d)\/(d**(2\/9)*d)**(-5\/14) assuming d is positive.\nAnswer: d**(-575\/126)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 1 p when two letters picked without replacement from {t: 3, p: 1, a: 3, x: 2, b: 1, g: 1}?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((3 - 35)\/((-4)\/(-16)))\/((-18)\/2115). Suppose -5*x = -x + 448. Is 16 a factor of (-2)\/7 - l\/x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 1937472?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = w + 1. Let h(k) = 13*k - 24. Let x(t) = -3*c(t) + h(t). Calculate the smallest common multiple of 27 and x(6).\nAnswer: 297","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 29288 + -17189. What are the prime factors of x?\nAnswer: 3, 37, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 12472 or 12457?\nAnswer: 12457","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14 - -12 - (89 + -89).\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/5 of a gram in milligrams?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 290 and (-118)\/(-12) + 7\/42?\nAnswer: 290","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000064 to six decimal places.\nAnswer: -0.000064","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 10, j: 1, i: 2, t: 4, w: 1}. Give prob of sequence bj.\nAnswer: 5\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 3, c: 2}. What is prob of sequence cck?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -6*l + 5. Determine d(-5).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j**4\/7 + 8796*j**3\/7 + 728372*j**2\/7 + 2070564*j\/7 - 401104 = 0. Calculate j.\nAnswer: -77, -4, 1, 2279","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v when two letters picked without replacement from acavvvcvvvcac?\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 669 is divided by 418.\nAnswer: 251","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 6 + -2. Let b be (-84)\/(-22) - r\/(-22). Let a be (((-8)\/(-20))\/(-2))\/(1\/(-5)). Sort a, -3, b.\nAnswer: -3, a, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 times -5093\nAnswer: -1018.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(2\/9)\/r*r**(-9))\/(r**(5\/6)*r**(-7\/5))*r*r**(-1\/13)*r**(-3)*r*r*r**5*r**(-1\/8)*r assuming r is positive.\nAnswer: r**(-15973\/4680)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 174024249 and 57?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 51 minutes after 12:50 AM?\nAnswer: 1:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = t**3 - 19*t**2 + 15*t + 107. What is the units digit of n(18)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3218 - 1751. List the prime factors of v.\nAnswer: 3, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/20 of a kilometer in centimeters?\nAnswer: 5000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 16.883 - 16.914. Which is the nearest to 2? (a) -4 (b) l (c) 2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.9 times -24.65?\nAnswer: 96.135","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/(-7))\/((40\/8)\/(-5))?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 524? (a) -2 (b) 5 (c) 0.1 (d) -664\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -2*b - 5. Let a be w(-5). Suppose 0 = -0*j + 5*j - 45. Solve l = -3*d - 4*l - j, -l - 13 = -a*d for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 48.3 - 48. Sort -21, x, 3 in descending order.\nAnswer: 3, x, -21","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 41399 is divided by 8260.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -556, -1204, -1830, -2422, -2968, -3456?\n\"Answer: 2*w**3 - w**2 - 659*w + 102","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -h**3 - h**2. Let b = 11 - 6. Let u(w) = -w**2 + 6*w - 6. Let i be u(b). Let p be -1 - -1 - (-2)\/i. Calculate a(p).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 4, s: 1, k: 5, e: 2, z: 4}. What is prob of picking 1 n and 1 k?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 74849?\nAnswer: 29, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express -20*q**3 - q**2 + 5*q - 22*q**3 + 36*q**3 as w*q**2 + h*q + j + m*q**3 and give w.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -8*z - 13. Give c(6).\nAnswer: -61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from isisiis. Give prob of sequence si.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 - 4 + 839*z**2 - 396520*z - 837*z**2 + 12*z**3 + 396520*z.\nAnswer: 12*z**3 + 2*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2389*f - 125734 = -3317*f + 216626 for f.\nAnswer: 60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 39964, 79926, 119888, 159850, 199812, 239774?\n\"Answer: 39962*w + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 28145600 to the nearest integer?\nAnswer: 5305","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5.55 - 0.55. Which is the closest to 0.1? (a) f (b) 4 (c) 29\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 = 6*s + 554*u - 558*u, 2*s + u - 3 = 0 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -388805\/1669 or -232?\nAnswer: -388805\/1669","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 13*j. Let w(k) be the first derivative of -k**2\/2 - 14. What is b(w(n))?\nAnswer: -13*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10, 4, 3 in ascending order.\nAnswer: 3, 4, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 299*q = 3*i - 2410, 57297*q - 3*i = 57298*q - 10 for q.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 393881209.\nAnswer: 61, 73, 197, 449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11*((-165)\/11 + 16).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 35 - 2*g**2 - 35 - 9*g + 7*g**2. Suppose -5*j = -j - 8. Let k(s) = 3*s**2 - 10*s - 4*s + 12*s - 2*s**j. Calculate 9*k(t) - 2*r(t).\nAnswer: -t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -c**2 + 5*c - 4. Suppose -3*m + 60 = 48. Suppose m*w + 20 = 5*a, -3*w + 4 = a + 2*w. Let b be p(a). Solve 1 = -b*r - r for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9 - (-6 + (4 + -5 - -2))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 8 - 13. Let l = 5.5 + -3.5. Which is the nearest to -0.2? (a) v (b) l (c) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 693 minutes before 5:30 AM?\nAnswer: 5:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -4 + 2 + (-6)\/(-6) - -6. Suppose -6*d = -d. Solve d = u + q*x - 16, u + 0*x + x = 0 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 53.9, 906, -1\/4 in decreasing order.\nAnswer: 906, 53.9, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*v = 25 + 137. Suppose 0 = v*c - 668 - 592. What is the units digit of c?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 5, a: 8, s: 3}. Give prob of sequence annn.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -54324 divided by 27?\nAnswer: -2012","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m + 4*m + 3*r + 24 = 0, -916*r = 3*m - 921*r + 73 + 55 for m.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -830*r**4 - 3750*r**3 + 140*r**2 + 1512 wrt r?\nAnswer: -19920*r - 22500","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12120 divided by -3.\nAnswer: -4040","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -2\/2476275, 1\/5, -0.1 in decreasing order.\nAnswer: 1\/5, -2\/2476275, -0.1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(462)\/sqrt(99))\/sqrt(216) + ((2 + sqrt(448) + sqrt(448) + sqrt(448))**2 - (sqrt(112) + 1)).\nAnswer: 1657*sqrt(7)\/18 + 4035","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -112132 (base 5) in base 8?\nAnswer: -7712","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-8 + 8 - 2*n)*(-2 + 4 - 4 + (2 - 5 + 4)*(1 - 4 + 2) + 4 - 1 - 5) - 3*n - n + 3*n to the form u + l*n and give l.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = -4*b - 5, -4*q - 20 = -5*b - 8*q. Solve b = -3*a, 2*l - 6 = -2*a - 3*a for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine l so that -3*l**2 + 702*l + 705 = 0.\nAnswer: -1, 235","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -257876937*f**2 + 1159705*f - 1?\nAnswer: -515753874","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -61 - 22 - 6*s**2 + 83.\nAnswer: -6*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.452 and -0.25?\nAnswer: 0.202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/((v**0\/v)\/v))**45 assuming v is positive.\nAnswer: v**135","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -463.990641 to 0 dps.\nAnswer: -464","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -8, -126948, 33.\nAnswer: -126948, -8, -1, 33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 11018?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -116 smaller than -117?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -0.4 (b) -11\/6 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -45052244 (base 7) to base 13\nAnswer: -a64c99","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 4235842?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 74\/3 of a minute in seconds?\nAnswer: 1480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 35 - 28. Suppose c*p - 166 = 86. What are the prime factors of p?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11 + (-6 - 33) - -1 - -14 - 50.\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 105\/(-10)*6\/(-9). Let s(n) = 53*n - 371. Let j be s(7). Solve -4*r + 12 = j, -5*k = 2*r - r + b for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: (2\/(4\/9))\/(5*70\/(-175))\nAnswer: -9\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 42 - 42 - 27*h**2.\nAnswer: -27*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*k + 5*n - 40 + 4, 8 = -k + n. Let i be (-10)\/k*56\/35. Solve -c = 3*c - i for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 30192 divided by -148.\nAnswer: -204","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 49137 is divided by 45.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 700 minutes before 9:27 PM?\nAnswer: 9:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) be the second derivative of t**5\/20 + t**4\/12 + t**3\/6 + 25*t**2\/2 + 7*t. Let z be f(0). Let n = z + -18. Solve -n + 2 = -i for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*f + 4 - 4)*(6*f**3 + 0*f**3 - f**3).\nAnswer: 35*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 - (-76 + (123 - 131 - (-1 - 8)) + -5)?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 32*h**2 - 85*h**2 + 26*h**2 + 28*h**2.\nAnswer: h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -n + 3*s, 4*s - 4 = -4*n + 2*s. Let x = 1631 + -1616. Sort -5, n, x in descending order.\nAnswer: x, n, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -2*w - 1. Let u(f) = -39*f**2 - 2*f - 9. Determine -u(m) + x(m).\nAnswer: 39*m**2 + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express -4 + 7 - 9932*t**2 + 507*t**2 - 3 as s*t**2 + n + j*t and give s.\nAnswer: -9425","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -212266 = 40*n - 482156 - 424670. What is the ten thousands digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -14578, -14464, -14350, -14236?\nAnswer: -14122","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 4812714*d + 5038567 wrt d?\nAnswer: 4812714","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6450376?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (70\/(3080\/(-22)))\/((2\/((-2)\/(-53)))\/(-2)).\nAnswer: 1\/53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2240 by 9136.\nAnswer: 140\/571","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**(13\/2)\/(s**2\/s*s*s) assuming s is positive.\nAnswer: s**(7\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -r, 0*h + 5*h + 5*r - 20 = 0. Suppose -h = -5*n + 12. Suppose 0 = 2*m - 3*m - 3, -77 = -p - n*m. What is p rounded to the nearest 10?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -18, -33, -48, -63?\nAnswer: -78","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 9\/12 + 265\/(-300). Which is the closest to -0.2? (a) 1\/2 (b) j (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + 3*z)*(4109*z + 45 + 2103*z - 45 + 177*z).\nAnswer: 19167*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - (13 + -32) - (7 - -7)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add together -4 and 122162885327.\nAnswer: 122162885323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*w + 87 + 75 = 0. List the prime factors of w.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 461509 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*g**3 + g - g - 5*g**3 - 1 + 1 + (g + g + 0*g)*(g**2 + 3*g**2 - g**2) - g**3 + 2*g**3 + g**3 - 3*g**3 + 0*g**3 - g**3.\nAnswer: -4*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (0 + -35)\/((-15 - -7) + 7). Let k = -15 + u. What is the highest common divisor of 140 and k?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 71.487 - 71.1. Let y = v + 2.613. What is the fourth smallest value in -0.3, y, -17, -1\/2?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 8 = o, -4*n = n - 25. Let u be (-4)\/14 - 9\/o. Solve p - 1 - u = 0 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -80.02213 rounded to 0 dps?\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by 10777?\nAnswer: -1\/10777","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = l**3 - 16*l**2 + 11*l + 3. Let g be s(15). Let w = 95 + g. What is the units digit of (w\/6)\/((-12)\/(-36))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19826162129 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) be the second derivative of q**3 + 4*q**2 + 7*q. Differentiate u(b) wrt b.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v + 2*n - 15 = -8*v, 0 = 4*v - 2*n - 30 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.2 + 0. Suppose 2*n + 121 = 125. What is the biggest value in r, -0.5, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(189)\/sqrt(12))\/(sqrt(3600) - sqrt(36)).\nAnswer: sqrt(7)\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6528\/(-14144) - 371\/1365?\nAnswer: -11\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34*f - 4 = s - 30*f, -5*s - 4 = 4*f for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 4*w = 0, -5*w = -8*w + 15. What is the remainder when 6\/(-9) + (-230)\/(-3) is divided by h?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1386550 is divided by 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(-6)*(-122)\/183\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -266251 or 74?\nAnswer: 74","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 561.1438ng?\nAnswer: 0.0000000005611438","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 4, -62, 6, 82 in decreasing order.\nAnswer: 82, 6, 4, -5, -62","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 254059 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 54, -142, -4, 0, 3, 2, 1.\nAnswer: -142, -4, 0, 1, 2, 3, 54","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 101\/1960 and 53\/40?\nAnswer: 1960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 697 a factor of 171782032?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) be the first derivative of -3386*c**7\/7 - 3298*c**3\/3 - 631. What is the third derivative of x(n) wrt n?\nAnswer: -406320*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 0.04, 0.8, -5?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -5*c**2 - 19*c. Let z(j) = 118*j. Let d(g) = -185*g. Let p(l) = -7*d(l) - 11*z(l). Determine r(p(o)).\nAnswer: -45*o**2 + 57*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 50850.8 + -51531.214. Let o = -681 - p. What is o rounded to two dps?\nAnswer: -0.59","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 14 - 17. Let i be 2 - (a + (-1 - 26694)). What is i rounded to the nearest 1000?\nAnswer: 27000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2367295 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide 16200 by 4.\nAnswer: 4050","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = -3*n - 1, l = 5*n - 2*n + 5. Factor 115*k**2 - 59*k**l - 52*k**2 - 32*k + 28.\nAnswer: 4*(k - 7)*(k - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-156009)\/(-44506))\/(-2 - (-3)\/2) + 7?\nAnswer: -2\/187","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 5631770 and 1550?\nAnswer: 310","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) be the first derivative of 9*d**2 + 148. Let g(r) = 3*r + 2. Let l(w) = -w - 1. Let q(o) = g(o) + 2*l(o). Give y(q(x)).\nAnswer: 18*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1463*t**4 - t + 0*t + 1466*t**4 - 44*t**2 - 4*t**5 - 261 - 2929*t**4 wrt t.\nAnswer: -80*t**3 - 88","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 25 - 1336?\nAnswer: -1311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -23.91 and -27.\nAnswer: 645.57","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1.77 - -1.23. Sort j, -2\/5, 2\/9, -0.1 in descending order.\nAnswer: j, 2\/9, -0.1, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1053\/7 + -150. Let m be 2 + 2 - (-1 + 0). What is the second biggest value in m, z, 0.1, -0.1?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find s, given that 2\/5*s**2 - 9\/5*s**3 + 1\/5*s**5 - 2\/5*s**4 + 0 + 8\/5*s = 0.\nAnswer: -2, -1, 0, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 5*q - 13 = 0, s + 1 = -s - 5*q. Calculate the lowest common multiple of 6 and s.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, 0.277, 0.\nAnswer: 0, 0.277, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2138114 + 1150?\nAnswer: 1149.7861886","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.2 - -1.2. Let b = 0.599 - 0.099. What is the nearest to z in b, -2\/11, 0?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 8, n: 3}. What is prob of sequence nnn?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 493550102?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 6*k = 9*k - 323, -5*k - 25 = 0. Is 168 smaller than o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -870 + 854. What is the third smallest value in -0.14, 2\/7, c?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1ba3a1 (base 12) in base 6?\nAnswer: 14334321","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 12535831 to the nearest integer?\nAnswer: 232","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 8171 + -7956. Solve 0 = 8*k + 175 - d for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-37 + 316)\/(-31) - (34 + -2)\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 477 - 470 = 2*p - 5*o, 4*p = 2*o - 10 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n = 2*h + 126, h - 2*n + 33 = -18. Let q = h + 95. Does 24 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 191 is divided by 47.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(80)*-2*-4 + (-5*(sqrt(80) - sqrt(80)*2))**2 + sqrt(80))*-4*2.\nAnswer: -16000 - 288*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-18)\/u)**(18\/11) assuming u is positive.\nAnswer: u**(-342\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -21, -34, -87, -198, -385?\nAnswer: -666","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -2*s**2 - 35*s - 60. Let k be p(-15). Let v be k\/6 - (-51)\/(-22). Factor 8\/11 + v*x**2 + 8\/11*x.\nAnswer: 2*(x + 2)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1\/5, -9, -2, 0.15, -15.54?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 26910?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m = 4*u + 16, 3*m = -u + m - 4. Let k(d) = -4*d - 1 + 2 + 3*d. Let i be k(u). Solve -i*r = -0*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h and 2 u when four letters picked without replacement from uouuhhohohhho.\nAnswer: 9\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hhhjjhjhhhjjjhhhjjhj. What is prob of picking 2 h?\nAnswer: 11\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -693, -0.5, 13, 0.27 in decreasing order.\nAnswer: 13, 0.27, -0.5, -693","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 4, 2\/7, 1012?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o - 20 = 5*o. Suppose 2*i - 5 = -5*n, -2*n + 5*n - 19 = 2*i. Which is the second biggest value? (a) o (b) 1\/5 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 57*v**3 - 14*v**2 + v. Let a be i(1). Solve 23*y - a*y = 0 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = d**3 - 59*d**2 - 53*d - 51. Give f(60).\nAnswer: 369","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -342*r + 351*r + 63 for r.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(1573) + sqrt(1573))*4 - (2*sqrt(1573)*4 + sqrt(1573)))**2*5 + -2.\nAnswer: 1329183","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange s + 0*s - 3*s + (4*s + 11*s + 6*s)*(2 + 1 - 2) to the form g*s + a and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 666 + 2234*h - 6098 - 13971*h wrt h?\nAnswer: -11737","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -41.96 and 24.\nAnswer: -1007.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8)\/(-30)*(-261)\/(-58).\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -9247, -18456, -27665?\nAnswer: -36874","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -448*c**5 + 25*c**4*q**2 - 146863*c*q**2 wrt c?\nAnswer: -8960*c**3 + 300*c**2*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -z**2 - 5*z + 1. What is l(-2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -43*h - 87. Determine a(0).\nAnswer: -87","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 1 = 3*l + 4, 0 = 2*l + f + 5. Solve 5*n + 20 + 0 = l for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -2*k**3 + 29*k**2 + 87*k - 26. Let r be v(17). Suppose -4*c = -2*c + 22. Let z = c + 23. What is the greatest common divisor of r and z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -5, -12, 193 in ascending order.\nAnswer: -12, -5, 4, 193","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*b*b**(-6\/17))\/(b*(b*b*b*b\/b**2)\/b*b))**(11\/7) assuming b is positive.\nAnswer: b**(-253\/119)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -f**3 - f**2 - f + 40. Let m = 38 + -27. What is the remainder when t(0) is divided by m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) be the third derivative of -1\/300*c**6 - 1\/525*c**7 + 2*c**2 + 0 + 1\/12*c**4 + 2\/15*c**3 + 0*c + 1\/50*c**5. Factor s(l).\nAnswer: -2*(l - 2)*(l + 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -69*h**2 - h + 2. Let i(c) = c**2. Let z(x) = 4*i(x) + m(x). Let u be z(-2). What is the units digit of u\/(-14) + 2\/(-7)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.05379 + 759.94621. Which is the third biggest value? (a) k (b) -0.2 (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 75 a factor of 478875?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 180042\/(-180146) - 1 - -2. Let q = 501610401\/10628614 + z. Let i = q + 18\/59. What is the common denominator of i and -137\/18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11.41 + -1.9?\nAnswer: -13.31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = t**2 + 14*t - 39. Give k(-16).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -3530 and -0.2?\nAnswer: 3529.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*k - 2*k + 2*k + (-4*k + 4*k + 2*k)*(4 + 0 - 3) + 0*k + k + 0*k + 3*k - 3*k + k + k + 2*k - 5*k + 394*k - 13546 + 13546.\nAnswer: 398*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1029 is divided by 45.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -j**3 + 13*j**2 - 24*j + 12. Calculate c(11).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 59535027 to the nearest integer?\nAnswer: 390","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 287? (a) 14\/5 (b) -1\/100 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*w - 3*w - 4*w)*(-124 + 68 + 60 - 28*w).\nAnswer: 56*w**2 - 8*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 2\/8195 (b) -3\/5 (c) -5 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let 12*a**3 - 13833*a**2 + 10347*a + 24192 = 0. Calculate a.\nAnswer: -1, 7\/4, 1152","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 2*z + 6. Suppose 4*u - 48 = -8. Let o be p(u). Suppose -g + o = -0*g. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 38*l**2 - 5*l + 8. Is f(7) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + 3*-1*3*((sqrt(102) + sqrt(102) + 6*1*sqrt(102))\/(sqrt(864)*-1))**2.\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1)\/5 + (-42)\/(-60). Suppose f - 2*f = 0. Is f > t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) be the second derivative of -s**6\/180 - s**5\/30 + 4*s**3\/3 + 25*s. Let n(i) be the second derivative of u(i). Factor n(f).\nAnswer: -2*f*(f + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3211)\/338 + 0 + 7)*38\/5.\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 43144798?\nAnswer: 2, 797, 27067","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -1\/8, 0.5, -0.1, 4, -1\/2?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find u, given that 45*u**5 - 10470*u**4 + 591320*u**3 + 2055600*u**2 + 1939920*u + 556960 = 0.\nAnswer: -2, -2\/3, 118","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-58*n + 19*n - 53*n)*(-2*n - 2*n**2 + 2*n) + 0*n - n**3 + 0*n + (-2*n + 3 - 3)*(3*n**2 + 2*n**2 - 6*n**2) + 1 + n**3 - 1.\nAnswer: 186*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 691 minutes after 7:43 PM?\nAnswer: 7:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2315 - -2314. Let l = -0.012 - -7.812. Let u = l + -8. Which is the closest to 1? (a) 2 (b) u (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 87768674?\nAnswer: 2, 7, 29, 216179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -2*(-6 - (0 - 0)). Let b(o) = o**3 - o + 3. Let a be b(0). Suppose j - 2*j = -5*n - 4, -3*j + t = a*n. Sort -5, j, 0 in descending order.\nAnswer: j, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find p such that 57*p**2\/7 + 8601*p\/7 - 906\/7 = 0.\nAnswer: -151, 2\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1\/65 + -38\/65. Let p = -70 - -61. What is the fourth smallest value in p, 1\/6, -2\/11, o?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1819171, 1819141, 1819111, 1819081, 1819051?\nAnswer: 1819021","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.02086808701 rounded to five decimal places?\nAnswer: 0.02087","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 2.497948t?\nAnswer: 2497948000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 8 - 2. Suppose -3*b + o = -b. Suppose 2*w + 2*w = -w. Solve 0*m + m - b = w for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-23*c - 50*c - 69*c)*(-4*c**3 - 7*c**3 + 0*c**3 + (-2*c + 1 - 1)*(c**2 - 3*c + 3*c)).\nAnswer: 1846*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -3*v**2 - v + 4. Suppose -5*b = -3 - 17. Let j = -14 - -23. Let k(a) = 7*a**2 + a - 8. Let u(s) = b*k(s) + j*q(s). Determine u(4).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 - 1 - 6 - (-66 - -56).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5 + sqrt(1100) + 2 + 3)*2*5)**2.\nAnswer: 110000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 10 - -28129?\nAnswer: 28139","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8519 = 436*h + 151*h + 888 for h.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -29.8 + 30. Suppose 5*p = 2*v + 18, -2*p + 3*p - 5 = -v. What is the biggest value in p, -2\/11, c, -1?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*t**2 + 3*t**2 + 9*t**2 + (t + 0*t + t)*(t - t - t) - t**2 + 24*t**2 + t**2.\nAnswer: 31*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 2*d + 1. Calculate the remainder when (308\/(-8))\/((-2717)\/3458) is divided by m(2).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (85 + 570 - 61)*(-4*v**2 + 0*v**2 + 2*v**2) in the form l + c*v**2 + n*v and give c.\nAnswer: -1188","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = 76 - 138. List the prime factors of i.\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -80924148 + -30.894.\nAnswer: -80924178.894","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -27*v, 41*i - 22*i - 25 = 14*i + v for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2232044304324 + -1?\nAnswer: 2232044304323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -10353592, -10353595, -10353598, -10353601, -10353604, -10353607?\n\"Answer: -3*d - 10353589","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 669 a factor of 2610438?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -5*l**3 + 5*l**2 + l + 2. Let v(f) = 9*f**3 - 10*f**2 - 2*f - 5. Let a(o) = -4*v(o) - 7*z(o). Suppose -4*d = 4*b, 0 = -4*d + 3*d - 5. What is a(b)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -2*f + 2, 0 = -2*w + f + 244. Suppose w = 7*h - 4*h. Does 22 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = h**3 + 4*h**2 + 4*h + 1. Let r be t(-3). Let c be (-5 + 1 - -2)*r. Suppose c*b = 92 + 12. Does 13 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6037 divided by -6\nAnswer: -6037\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -h**2 + 15*h - 20. Let d = -1 - -6. Calculate the remainder when l(11) is divided by d.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.089, -0.2, -4.682, 0.5, 1\/4 in descending order.\nAnswer: 0.5, 1\/4, 0.089, -0.2, -4.682","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = d**2 + d - 7. Let a be o(-5). Suppose 1 = -q + a. Is 12 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/(y**(2\/7)\/y))\/y)**46\/(y\/(y**(2\/9)\/y)*y**(-7)) assuming y is positive.\nAnswer: y**(2399\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of 447?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eezzezezzezzeeeezzz. What is prob of picking 2 e?\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -13375 - -13375.0000002648. What is o rounded to 7 decimal places?\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 28\/675 and -2\/975.\nAnswer: 8775","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = -4*r - 451758. Let c = -111879 - r. Round c to the nearest 10000.\nAnswer: 110000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*q - 18*q + 2*q to the form f + y*q and give y.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*d**2*d*d*d)**(-3\/10)\/(d*d\/(d\/(d\/d**2*d)*d*d))**28)**32 assuming d is positive.\nAnswer: d**(4192\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p**0)**(2\/21))**(-2\/7))**(-49) assuming p is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Do -0.17 and -14 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1 by -3195.\nAnswer: -1\/3195","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32*h + 15 = 27*h. Let m(y) = 2*y**2 - 6*y. Let v(g) = -3*g**2 + 10*g. Let l(b) = h*v(b) - 5*m(b). Let c(i) = -78*i. What is c(l(w))?\nAnswer: 78*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*n - 14*n = -3*a + 29, -42 = -5*n + 2*a. What is the greatest common divisor of n and 808?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.5, 11, -0.3, 3\/622, -5, -1 in increasing order.\nAnswer: -5, -1, -0.5, -0.3, 3\/622, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 4*s = 5*g - 12, 5*g = s + 24. Let j(c) = 3291*c + 1 + 3285*c + 3288*c - 9862*c. Determine j(g).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s + 408 = 7*s. Let i = s + -201. Suppose 0*h + 2\/15*h**2 + 0 + 2\/15*h**i = 0. What is h?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17827 is divided by 12?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-29194)\/5030 - (0 + -1). Let d = 2\/503 + u. Find the common denominator of d and 58\/14 + (-2)\/(-1).\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 310 minutes after 10:52 AM?\nAnswer: 4:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 1.9238 - -160.9719\nAnswer: 162.8957","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 24554410 to the nearest integer?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 17345*g - 9921343. Give y(572).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-22 + 14 - -13) + 1 + -18.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -9 * 505421\nAnswer: -4548789","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2691, -10762, -24213, -43044?\nAnswer: -67255","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 144 + -1165. Let b = r + 1725. What is the tens digit of b?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 461 is divided by 459?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 10010100000 (base 2) in base 16?\nAnswer: 4a0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000158427097 to 7 dps.\nAnswer: 0.0000158","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -112*r + 129*r - 136 for r.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) be the second derivative of 2*a**4\/45 - a**3\/45 - a**2\/5 + a. Factor y(r).\nAnswer: 2*(r - 1)*(4*r + 3)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 17 - 6. Let n = h - 4. Suppose n*y - 3*y - 8 = 0. Solve -y*u = u + 12 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -137\/11070 and 59\/164.\nAnswer: 22140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 63*9\nAnswer: 567","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nnznnzsniiezn. Give prob of sequence ei.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 15 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 1, j: 3, b: 3, k: 3}. Give prob of sequence jdj.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1307 + 1307 + 5*j - 14*j + 4*j.\nAnswer: -5*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) be the second derivative of c**8\/6720 - c**7\/420 + c**6\/240 + c**5\/40 - 7*c**4\/12 - 7*c. Let n(s) be the third derivative of b(s). Determine n(5).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.92 - -0.891957?\nAnswer: 1.811957","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1132221132 (base 4) to base 5.\nAnswer: 44401203","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 147, -2\/9, 5, 0.02, 4?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -431 (b) -0.3 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.4978 and -14.\nAnswer: -14.4978","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:17 PM and 9:54 PM?\nAnswer: 337","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -103112122 (base 5) to base 11\nAnswer: -281808","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.06608 less than 3903336843?\nAnswer: 3903336842.93392","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -153.99746 - -154. Round q to 4 dps.\nAnswer: 0.0025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 2*p**2. Let t(d) = 713*d**2 - 714*d**2 + 11*d + 46 - 18. Let n be t(13). Let m(q) = 8*q**n + 10*q + 4*q - 14*q. Calculate b(m(o)).\nAnswer: 128*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 10166137?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1)\/((-185)\/(-95) + -2). Suppose 12*m = -11*m + y*m. Solve m = -3*z + 6 + 6 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 530447814 by -114.\nAnswer: -4653051","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -3, -84218, -4, -1, -5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 7, 5, 3, 1?\n\"Answer: -2*m + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14085*s**2 + 114973*s - 114973*s.\nAnswer: 14085*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gf when two letters picked without replacement from {e: 1, l: 5, f: 5, g: 3, d: 1}?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -20. Let i(u) = 8*u - 60. Let j(a) = i(a) - 3*x(a). Let d(k) = -2*k + 14. Determine d(j(f)).\nAnswer: -16*f + 14","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 - (25 - 8) - (14 + 0)?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2\/3 (b) -22 (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-1)\/4)\/((-4)\/(-16)). Let k be y\/(-3) - (-56)\/21. Suppose k*n - n = 22. List the prime factors of n.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4329, 4484, 4755, 5154, 5693, 6384?\nAnswer: 7239","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xtnn when four letters picked without replacement from lxlxxxnxtnxntxx?\nAnswer: 4\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -26*v**3 - 6*v**2 + 2*v. Let c be w(-4). Suppose -356*r - c = -366*r. Is 4 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 67 and 192424.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o = -34 - 1. Let b = o + 11. Solve -3 = -3*n + 6, b*n = -5*g - 13 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 1 a when two letters picked without replacement from wwvvmaavwvvmv.\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 59827717.\nAnswer: 67, 892951","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.5 and -1527355?\nAnswer: 1527354.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*j + 5*j = 0. Suppose -2*t = -5*u - 122, 4*u + 2 + 14 = j. Let a = t + -31. Calculate the smallest common multiple of 6 and a.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 14*h - 240. Let l(k) = 14*k - 237. Let a(v) = 3*l(v) - 2*x(v). Is 11 a factor of a(21)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2 - -5. Let d = 3.2 - g. Let c = -164 - -494\/3. What is the closest to -0.1 in -1, c, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 77 and 43642335?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 2 + 7 = 0. Suppose 0 = u*c - 6*c + 3. What is the units digit of 11 - -42 - c*-1?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -26 and -807.7.\nAnswer: -833.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 0.5438261cm?\nAnswer: 5.438261","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -31\/2 - -15. Let n(o) = -o**3 + 3*o**2 + 4*o. Let q be n(4). Which is the closest to d? (a) 0.1 (b) 5 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 12*h - 21. Let d(k) = 3*k - 5. Calculate -9*d(c) + 2*q(c).\nAnswer: -3*c + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3066 + 144100\/47. What is the third smallest value in l, 0.4, 42, 2\/7, 5?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-3)\/(4\/7 - 1). Let h be 8867\/(-4) - (-9 + u). Let d = -2201 - h. Calculate the common denominator of d and -31\/10.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -520873952, -520873951, -520873950, -520873949?\n\"Answer: l - 520873953","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (8 - 2 - 1)*(-3*v + 0*v + v)*((4 + 0 - 7)*(1 - 1 + v) - 2*v + 5*v - v) in the form l + j*v**2 + y*v and give j.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 252599175 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: Which is the closest to 1? (a) 3 (b) -8 (c) 208\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -4*v**3 + 3*v**2 + 4*v + 2. Let c(r) = -68*r + 3122. Let a be c(46). Let d(x) = 3*x**3 - 2*x**2 - 3*x - 2. Calculate a*d(y) - 4*g(y).\nAnswer: -2*y**3 + 2*y + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23 is divided by 14.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g*(g\/g**2)\/g*g**(-2\/21))\/((g\/(g\/(g\/(g*g*g**1))))\/(g**(-8)*g)) assuming g is positive.\nAnswer: g**(-107\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -v**2 + 226584454*v - 12835128698619529.\nAnswer: -(v - 113292227)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 7 in 0.3, 15\/8, 0.053, -2\/15, -6?\nAnswer: 15\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -507, -504, -497, -486, -471, -452?\nAnswer: -429","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -2*o**2 + 17*o - 4. Give k(8).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (51\/272)\/(-1 + (-705)\/(-732)) and -29\/20?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 + 1)*(3*c + 6*c - 11*c + (-2 + 2*c + 2)*(4 - 8 - 1)).\nAnswer: -12*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1 - -4. Let v = -543\/5 - -109. Factor 1\/5*f**5 + 0 - v*f**b + 0*f**2 + 1\/5*f + 0*f**4.\nAnswer: f*(f - 1)**2*(f + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*q = 3*q + 20. Let i be (2\/7)\/((-7)\/(-245)). Solve -10 - i = -q*t for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*-5*-1*sqrt(228))\/(sqrt(300)*-1 + sqrt(12) - (sqrt(48) - -1*sqrt(48))).\nAnswer: 25*sqrt(19)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -8882 (base 9) to base 7.\nAnswer: -25052","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -7885283.17762 + 110.17762. Let v = 7885172.40000016 + b. Let r = v - -0.6. Round r to 7 dps.\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 143171 (base 10) in base 9?\nAnswer: 237348","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 0*m + 4*x = -50, -3*m = -x - 62. Suppose 0*a - 7*a = m*a. Let q be (-6)\/(-4) + 1\/2. Solve a + q = j for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2020471 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -f**3 - 61*f**2 - 65*f - 327. Let u be g(-60). Put -5, 1, u, 2, 0 in decreasing order.\nAnswer: 2, 1, 0, -5, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -16, -4\/13, 4\/7, 47?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 382.\nAnswer: 2, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -258*k - 5*w = -263*k + 4340, -4*k + 3472 = w. What is the highest common factor of 12 and k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r = -10*r - 42 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -q**3 - 34*q**2 - 243*q - 70. Let c be m(-24). Solve 0 = 2*l - c*b + 4, -18*l - 20 = -20*l - 4*b for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -6.738 from -0.0216922.\nAnswer: 6.7163078","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 91\/10143492 and 151\/533868.\nAnswer: 10143492","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 639 and 497?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -21 - -24. Let u = w + -2.7. Sort 2, 2\/7, u in increasing order.\nAnswer: 2\/7, u, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 162*t**4 - 348 wrt t.\nAnswer: 648*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -3*q - 8. Suppose -h = -2*u + 2*h + 17, 4*u - h = 29. Let g(l) = 3*l + 9. Let x(b) = u*a(b) + 6*g(b). What are the prime factors of x(-4)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 101\/296910 and -113\/5610?\nAnswer: 55522170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Determine b so that -b**4\/2 + 796*b**3 - 165411*b**2\/2 - 258490*b + 340400 = 0.\nAnswer: -4, 1, 115, 1480","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 439160 divided by -4?\nAnswer: -109790","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 51 (b) -1\/13 (c) 1\/17 (d) 4 (e) 0.06\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4*p**2 + 3*p - p**2 + p**2 - 6*p wrt p?\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4487*s = -4414*s + 3869 for s.\nAnswer: -53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 699 minutes after 9:47 PM?\nAnswer: 9:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*f - 2*f + 2*f)*(-767*f + 47*f**3 + 767*f).\nAnswer: 94*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 18 = 4*t, 2*t = 4*v + 11 + 5. Let o be (2 + (-10)\/5)*t\/(-8). Solve o = 5*k - 9 + 34 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.2 * 25.3.\nAnswer: -5.06","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.9 and -1425622.\nAnswer: -1425622.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.110374 rounded to two dps?\nAnswer: -0.11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ccc when three letters picked without replacement from {c: 3, e: 3}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -30\/11 + 172\/55. Is 11 > a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 378332?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Determine j so that -2*j**4\/5 + 114*j**3\/5 - 2382*j**2\/5 + 4334*j - 14520 = 0.\nAnswer: 11, 15, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/(-19)*(-31)\/(-62)?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 2, r: 1, i: 1, d: 4, y: 10}. What is prob of picking 1 f and 2 y?\nAnswer: 15\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*c - 16 + 194. Let v = 65 - c. What is the units digit of v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(3\/7)*s**(-3)*s)**(-34) assuming s is positive.\nAnswer: s**(374\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 2*f**2 - 17*f - 12. Determine b(9).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -y**3 + 5*y**2 - 2*y - 3. Let j be d(4). What is the tens digit of j*(-11)\/((-88)\/312)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = o**3 + 3*o**2 + 2*o + 2. Let g be c(-2). Let 0*a**g - 3\/2 - 3\/4*a**3 + 9\/4*a = 0. What is a?\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -371.8 - -371.49. Which is smaller: m or 0?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 11829229 and 187.\nAnswer: 130121519","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 106 a factor of 446520675?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -8126 + 8126. Let w(v) = 3*v**2 - 2*v + 1. Let f be w(1). Solve -3*d + 2*z + 4 = 0, -4*d + n*z + f*z = -8 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2.05 - 89.05. Let x = -87.0000085 - q. Round x to six decimal places.\nAnswer: -0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 91.62528ug in grams?\nAnswer: 0.00009162528","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -137\/110 and 73\/66.\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 32\/(-15) + 2 + 66\/90\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -30*h + 25*h + 2690. Calculate the remainder when h is divided by 45.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -23*g*p**2*y**2 + 22*g*p**2*y - 61*g*p*y - 2*g - p*y**2 wrt p?\nAnswer: -46*g*y**2 + 44*g*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 902?\nAnswer: 2, 11, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -4*f**2. Let n(a) = 12*a**2 - 2*a. Give n(g(w)).\nAnswer: 192*w**4 + 8*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*l = -8*l - 2660. Let s = l - 263. Sort -6, 5, s in descending order.\nAnswer: 5, s, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 14 + -9. Let l(g) = 127*g**2 - 7871*g - 161. Let m be l(62). Solve 0*p - 31 = 4*n + 3*p, -y*p = m for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j - 8 = -20. Let n be ((-3)\/j)\/(9\/(-24)). Suppose n*c - 8 = 2*k, 9 - 50 = -5*c - 2*k. List the prime factors of c.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2\/3 - -4\/3. Which is bigger: -6 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*d**(2\/3)*d*d)**(3\/2)\/(d**(-8))**(-42))**(6\/11) assuming d is positive.\nAnswer: d**(-1983\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*x**3\/7 + 12*x**2\/7 = 0. What is x?\nAnswer: 0, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8496\/(-648) + 30\/27?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -q**2 - 21*q - 84. Let i be j(-5). Let o(g) = -2*g**2 + 6*g + 7. Let y(k) = -2*k**2 + 5*k + 7. Calculate i*o(n) + 5*y(n).\nAnswer: -2*n**2 + n + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1 - (1 - 0\/(-1)). Suppose 0 = -z*u + u - 191. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -b**4 + 990*b**2 - 32465 wrt b?\nAnswer: -4*b**3 + 1980*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 i when four letters picked without replacement from bgibiiibbbbbbb?\nAnswer: 1\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 790015190 to the power of 1\/3, to the nearest integer?\nAnswer: 924","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 98 - 36. Suppose -2*g - 3*b = -j, -2*b = -3*g + 47 + 59. What is the tens digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 309.598 and -87312.\nAnswer: -87002.402","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -120 = -2*p + y, 0 = -3*y - 5 - 1. Let n = 125 - p. What is the lowest common multiple of n and 4?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*1*sqrt(27) + sqrt(27) - -6*sqrt(108))**2 + ((sqrt(243)*-1 + sqrt(243))**2 - ((sqrt(3) + 1)*6)**2) + 4.\nAnswer: -72*sqrt(3) + 1183","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 270135463?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*m - 4*m + 148*k - 13 = 145*k, 4*m - 53*k = -58*k - 33 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (i**3 - 4*i**3 + i**3)*((-1 - 2 + 2)*(-3 + 3 - 3*i) + (16*i + 69*i + 154*i)*(5 - 2 - 2)) to the form y*i**3 + g*i + h + k*i**4 + x*i**2 and give k.\nAnswer: -484","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1.4135 and -0.5?\nAnswer: 0.70675","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 341 minutes before 1:08 PM?\nAnswer: 7:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -226520367699\/299 - -757589278. Let h = 3925 + w. Let v be (-2 - -1) + (-7 - 7) + 14. Which is greater: v or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 186? (a) 6\/17 (b) 2\/9 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 27532, 55448, 83372, 111310, 139268, 167252, 195268, 223322?\n\"Answer: a**3 - 2*a**2 + 27915*a - 382","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*h - h**4 + 0*h + (-3*h**2 - 3*h**2 + 2*h**2)*(-2*h**2 + 2*h**2 + h**2).\nAnswer: -5*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 8*x - 91 + 59 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = j**3 + 20*j**2 + j + 30. Suppose -765 + 245 = 26*c. Calculate u(c).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 7*s - 372 = 0. Let w = s + -13. Let n be ((-57)\/(-9) + -3)*3. Calculate the highest common factor of n and w.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -3632*m + 7503. Give w(2).\nAnswer: 239","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5\/10*(69 - 1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k, 1 o, and 1 a when three letters picked without replacement from kkkoakbkff.\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 8*(6 + 66\/(-12)). Suppose 2*r + 3*x - 457 = 432, 3*r + o*x - 1333 = 0. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-11)\/22*4\/(-3)*-6.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1900) - sqrt(1900)*2)*-6 + 5 + (sqrt(1900) + 1 + -2)*4)**2.\nAnswer: 200*sqrt(19) + 190001","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -1, -2, 28, -102 in increasing order.\nAnswer: -102, -2, -1, 0, 28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 9069*d. Let r(y) = y**2. Give w(r(k)).\nAnswer: 9069*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = d - 2*l + 2, 0 = -5*d + l - 5*l + 18. Suppose q + a = -56, -2*q - a - 109 = d*a. Let k = q - -88. Is 10 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2*((-28)\/8 + 3). Let b(u) = -2*u**2 - 2*u + 1. Let g(p) = p - 1. Let k(v) = t*b(v) - g(v). Suppose 5*y - 4 + 14 = 0. Calculate k(y).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 7 - 6*y - 7 - 3*y. Let f(s) = -s**2 + 4*s - 4. Let u(t) = t - 1. Let v(q) = -f(q) + 4*u(q). Give v(h(z)).\nAnswer: 81*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3044*a = 3027*a + 2818991. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*s - 6*s + 2*s + (-5*s + 5*s + 2*s)*(3 - 2 + 5) + (0*s + 4*s - 2*s)*(1 + 1 + 0) + s - s + 2*s - 1 + s - 1 - 3.\nAnswer: 18*s - 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -6210\/7 - -885. Let z(h) = h**2 - 3*h + 37 + 9*h - 45. Let t be z(-7). Is t at least v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1136 or -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -111 + -1010012021?\nAnswer: -1010012202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5838 + -5834. Calculate the lowest common multiple of u and 122.\nAnswer: 244","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14022055 < 14022054?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -165, -580, -1265, -2214, -3421, -4880, -6585?\nAnswer: -8530","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -7.36 (b) -59 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 7 - 4. Find the third derivative of -3 - 4*m**3 + 2*m**2 + f wrt m.\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l = 232 + 328. Let i = l - -167. What are the prime factors of i?\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*g + 161 = -4*r + 101, -3*r = -4*g + 24 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1022391 is divided by 54.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11151?\nAnswer: 3, 7, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) be the second derivative of 7*k**6\/360 - k**5\/90 - 7*k**2\/2 + 6*k. Let z(i) be the first derivative of t(i). Factor z(s).\nAnswer: s**2*(7*s - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 5\/2 in 51958, -10\/7, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 48057774 to the power of 1\/3, to the nearest integer?\nAnswer: 364","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-64)\/240*(-50)\/24. Let f be 5*(0 + 4\/10). Which is smaller: r or f?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(114) - (sqrt(114) + 1*sqrt(114)*-1 + sqrt(114))))\/((sqrt(150) - sqrt(150)*-5)*-1 - sqrt(150) - sqrt(150)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/3, -232, 4, 11, -2\/3, -1.\nAnswer: -232, -1, -2\/3, -1\/3, 4, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -33 - -48. Solve 4*c = -2*n - 1 + 13, 3*c - l = -3*n for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 35 - 36.5. Let y = -1.49999792 - g. Round y to 7 decimal places.\nAnswer: 0.0000021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -62*a + 668. Let s be d(12). Is -76 at most as big as s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oooooooxngooorooxxrn. What is prob of sequence gn?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -535.74 rounded to the nearest 100?\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 75*w**3 - 11*w**2 + 11*w + 30. What are the prime factors of l(3)?\nAnswer: 3, 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -3*k + 5*k - 4*k + 2. Suppose -2*u = -x, -5*x = -5*u - 3 - 7. Suppose x*o = 3*o + 3. Calculate g(o).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2493?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + 5 + (3 + -7 - ((28 - 0) + -11)).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -731*l**4 + 46*l**2 + 8*l wrt l.\nAnswer: -17544*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5*m**2 + 0*m**2 + 20*m**2)*(-15 + 32 + 89 + 192 - 11) in the form s*m**2 + w*m + c and give s.\nAnswer: 4305","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4389722 + 0.5?\nAnswer: 0.9389722","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/5 in -1\/5, 435, -2\/5, -2\/15?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 60\/((12\/(-26))\/((-53)\/(25493\/74))).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4 + 6. Suppose -2*l + 4*z + 24 = b, z = -2*l + 2. Suppose -3*w + 23 = 2*k, 4*w + 11 = -5*k + 51. Solve -l*p + k*p - 3 = 0 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 342379011?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 + -331?\nAnswer: -330.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1 - -14. Let h = -10 + j. Solve 3*m + h*a = 0, 5*m - 4*a = -0*a for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -a - 3. Suppose -7*k = -3*k + 8. Let i(q) = -q**3 + 7*q**2 - 5*q - 6. Let o be i(6). Let j be (2 + -2 + o)\/k. What is g(j)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 82191?\nAnswer: 3, 27397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -2*j**3 - 57*j**2 + 26*j - 99. Give v(-29).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 453 minutes before 9:29 PM?\nAnswer: 1:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 23 divided by 6533.\nAnswer: 23\/6533","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -116812 or -116813?\nAnswer: -116813","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ub when two letters picked without replacement from {o: 10, b: 2, u: 3}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -3244042131 (base 5) in base 10?\nAnswer: -7018416","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2*d**2 - 2)*(0 + 0 + 2) - d**2 + 0*d**2 + 51*d**2 + 10*d**2.\nAnswer: 56*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -47.37 + 7.\nAnswer: -40.37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:25 AM and 8:43 PM?\nAnswer: 558","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -2 - ((2 - 22) + -2). Let k be (9\/6)\/((-402)\/(-96) - 4). What is the greatest common factor of k and p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (2\/6)\/((-1)\/6). Are o and -10\/7 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*y + 5*k + 796 - 806, 4*k = 9*y + 8 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = v**2 - 14. Let b be a(7). Let l be -4*(1\/2 - 0). Let q = l + b. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -168835 (base 9) in base 5?\nAnswer: -11324202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 2110993380?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 0 + 8 + 11488*u - 10 - 11491*u + 4. Let b(n) = n**2 - 5*n + 3. Suppose 2*k - 6 = -k. Suppose -2*r + 8 = -k. What is r*l(f) - 3*b(f)?\nAnswer: -3*f**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -28 + 24. Which is the smallest value? (a) i (b) -3 (c) -7 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 4, z: 4, b: 6, y: 1}. What is prob of sequence zby?\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 155 (b) -27 (c) -1\/40\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 828178 to the power of 1\/2, to the nearest integer?\nAnswer: 910","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ci when two letters picked without replacement from {g: 1, e: 2, o: 2, s: 2, i: 1, c: 1}?\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i = -2*x + 122, -i - 247*x + 65 = -493*x + 243*x for i.\nAnswer: 62","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v = p + 10, 0*p + p - 4*v = -22. Let n(o) be the third derivative of 8*o**3 + 0*o + o**4 - 11*o**p + 1\/20*o**5 + 0. Factor n(c).\nAnswer: 3*(c + 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -2\/7, 4, -1\/4, -11?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.793, -0.27, 1, -1\/19, -0.1?\nAnswer: -0.793","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*h - 34*h - 20 = 0. What is the remainder when (-2 + (-25)\/h)\/((-1)\/(-13)) is divided by 12?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 9\/1436 and -71\/19386.\nAnswer: 38772","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -2\/9 (b) 4 (c) 0.11 (d) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.249 in 83.5, 8\/7, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = q - 1. Suppose -2770*d = -2747*d + 23. Let c(u) = 4*u - 13. Calculate d*c(i) + 5*v(i).\nAnswer: i + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 198*w - 794*w + 209*w + 200*w + 214*w.\nAnswer: 27*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(2\/7)*m)\/m**(-2\/11))\/(m*m**(-1\/4))**(-37) assuming m is positive.\nAnswer: m**(8999\/308)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1.8 - -3.8. Suppose -5*g - q + 4 = -2*g, -g + 4*q - 3 = 0. Which is the closest to -1? (a) g (b) 0.039 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 507 is divided by (-17)\/((-6)\/(-6) + -2)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f\/f**(-4\/21)*f**26\/f)**(1\/60) assuming f is positive.\nAnswer: f**(571\/1260)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 16\/41 + 2\/205. Let d = 3 - 0. Suppose -4*y - 1 = -d*y. Is o greater than or equal to y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) be the third derivative of h**5\/60 + 22*h**2 - 6*h. Let l(b) be the second derivative of -b**3\/3 - 25*b**2\/2 + 50*b. Determine l(a(c)).\nAnswer: -2*c**2 - 25","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 6552, 10033, 13512, 16989, 20464, 23937, 27408?\n\"Answer: -s**2 + 3484*s + 3069","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**6\/(p**8\/p)*p**(-8)\/p**38)**(1\/39) assuming p is positive.\nAnswer: p**(-47\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (12*h**3 + 3 - 1 - 5*h**3 - h**4)*(-18 + 7 - 4 + 1 + 0 + 0 + (1 - 2 + 0)*(1 + 0 + 0)).\nAnswer: 15*h**4 - 105*h**3 - 30","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = k - 3. Let q be l(3). Suppose 32 = 286*a - 270*a. Suppose -a*d + 5*j + 58 = 0, q*d + 18 = d + 3*j. What is the units digit of d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find a, given that -2*a**4 + 863568*a**3 - 93217847756*a**2 - 186438286224*a - 93219574898 = 0.\nAnswer: -1, 215893","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -201 - 212*a**2 + 85 - 11*a**2 + 26*a**2 + 118.\nAnswer: -197*a**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pipxplllpzp. Give prob of picking 1 z and 2 l.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 5440057 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 19*i**3 - 1434*i**2 - 2235*i + 158. Give q(77).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) be the first derivative of -d**4\/4 - 5*d**3\/3 - 3*d**2\/2 - 8*d - 2. Let z be y(-6). What is the units digit of z\/6 - (-1)\/3?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 4, -2\/7, 3\/5, 0.5, -2.9, 42515?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1715 and 280.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11*i - i**4 + 189*i**2 - 189*i**2)*(-1 + 5 - 1)*((1 - 2 + 2)*(-2 + 3 - 2) + 3 - 1 - 4 + (2 + 0 + 0)*(-4 + 1 + 5) + 1 - 1 + 1).\nAnswer: -6*i**4 - 66*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 2222022122 (base 3) to base 15\nAnswer: 12538","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -h**3 - 3*h**2 + 4*h + 2. Let x(k) = -3 + 2*k**3 + 2*k**2 - 3*k**3 + k - 4*k**2. Let l be x(-3). Let r = l - 7. What is d(r)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -5*y**3 + 4*y**2 - 4*y - 3. Let q(u) = 9*u**3 - 7*u**2 + 7*u + 5. Suppose 2*d - 6 = -2. Let a be 312\/(-65) + d\/(-10). Calculate a*x(f) - 3*q(f).\nAnswer: -2*f**3 + f**2 - f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mm when two letters picked without replacement from {m: 3, j: 2}?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 95605816 is divided by 231.\nAnswer: 229","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2 * 401.\nAnswer: -802","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence efff when four letters picked without replacement from xfedggeqfxfggee?\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 13633?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i + 82 = 4*i - 2*q, 5*i - 5*q - 105 = 0. Let r(n) = 3*n - 10. Let k be r(5). What is the greatest common divisor of i and k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s + 21*f + 41 = 17*f - 10, 24*f - 27 - 63 = 8*s + 22*f for s.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) be the second derivative of -4*y**3\/3 + 74*y**2 + 87*y. Let b be s(18). Solve -b*u - 13 + 5 = 0 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -30, 15651 in decreasing order.\nAnswer: 15651, -4, -30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -52 - -220. List the prime factors of p.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 3*(-6)\/(-9) + 6. Let c = k - 6. Let i(s) = -2*s**c - 4*s**3 - 4 - 1 + 7*s**2. Let o(n) = -n**3 + n**2 - 1. Determine i(x) - 5*o(x).\nAnswer: x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2586668 by -2586668.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 4433256 divided by 9?\nAnswer: 492584","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4 + -6. Let o be b\/(3\/2 + -2). Let f be 5*(-2)\/o*-2. Solve 2*r = f*p + 8, -r = 2*p - 0*r - 4 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = 4*v - 115. What is the remainder when v is divided by 13?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 27653160 and 1185?\nAnswer: 1185","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1745?\nAnswer: 5, 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7274744 + 7274989 = 5*u - 6*d, 5*u + 4*d = 245 for u.\nAnswer: 49","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is one twentieth of a gram in milligrams?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 562*u + 4609 = -9309 - 694 for u.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-87)\/(-6)*(2 + 0). Suppose -f = 4*b + p, -p - 11 = 2*b - b. Let w = b - -33. Calculate the highest common divisor of w and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 39 and 231?\nAnswer: 3003","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) be the third derivative of f**6\/240 - f**4\/3 - 8*f**2. Let o(v) be the second derivative of m(v). Let s(n) = -2*n**2. Calculate o(s(p)).\nAnswer: -6*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) be the second derivative of 1\/60*g**6 - 4*g + 0 - 1\/60*g**5 - 1\/252*g**7 - 1\/12*g**2 + 1\/12*g**3 - 1\/36*g**4. What is p in w(p) = 0?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*o + 35 = 3*r, 775*o - 774*o = 2*r - 32 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/5? (a) 0.4 (b) -0.58 (c) -2\/3 (d) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*n + 2*o - 30 = 0, 2*n + 5874*o = 5873*o - 9 for n.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + 1 + (1 - (6 + -5))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + 219\/(-75) - 648\/600.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 358*g + 55*g - 710*g + 22*g.\nAnswer: -991*g + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 181 - -12. Suppose -142*j - x = -143*j. What is the units digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -r**2 + 42*r + 10689. Give d(-84).\nAnswer: 105","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in 4\/3, -3\/1165, 2?\nAnswer: -3\/1165","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 32\/(-64) + (-6*1 - (-279)\/(-18))?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 207878 + -267701.927. Let f = 59852 + p. Let b = f - 28. What is b rounded to two dps?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 6 (b) -3\/10 (c) 1 (d) 22.8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.18 - 1.82. Let t = -0.3 + -0.2. Let f = 0.1 + 0. Sort f, t, v in descending order.\nAnswer: f, t, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1372910524 to the power of 1\/3, to the nearest integer?\nAnswer: 1111","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 42 minutes after 6:00 AM?\nAnswer: 6:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 16 + -14. Suppose 2*r = -0*r + 6. Let b = r + -1. What is the lowest common multiple of w and b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -m**2 + 10 + 2*m**2 + m - m - 6*m. Let j be l(4). Let z(u) = -1 - u - u**j - 6*u - 4 + 2*u. Give z(-4).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:50 PM and 4:14 AM?\nAnswer: 324","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4*311.5.\nAnswer: 1246","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 20 - (3 - 1)\/8 and -61\/16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.02432 to 3 decimal places.\nAnswer: -0.024","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -c**3 + 9*c**2 - 6*c - 14. Let n(w) = -2*w + 18. Let v = -85 + 90. Let z be n(v). Let l be u(z). Solve -17 = -5*x - l for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -50 (base 13) to base 10.\nAnswer: -65","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = b**3 + 5*b**2 - 7*b - 4. Let d(c) = c**2 + 7*c - 42. Let m be d(-11). Suppose -3*w - 28 = 2*w - 2*a, -4*a = -m*w - 8. Determine f(w).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 259224?\nAnswer: 2, 3, 7, 1543","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*z + 3*d - 129, 2*z - 5*z + 5*d + 161 = 0. Suppose -2*o = 2*o - 68. What is the remainder when z is divided by o?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1807 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 230330 is divided by 57259.\nAnswer: 1294","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:13 PM and 8:48 PM?\nAnswer: 155","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k**4 - 135864*k**3 - 151515840*k**2 - 41497193800*k + 41648845500 = 0.\nAnswer: -545, 1, 35055","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -55.7 - -58.71. Let b = -3 + u. Let v = -2.59 - b. Round v to zero dps.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 8, m: 3}. What is prob of picking 1 f and 3 m?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -43*n**3 + 3*n**2 + 48*n + 89. Determine j(-2).\nAnswer: 349","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 4843230 divided by 3?\nAnswer: 1614410","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -i**3 + 13*i**2 + 10*i - 21. Let p = 984 - 970. Give d(p).\nAnswer: -77","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*4*(sqrt(500)*-3*-5 + 1))**2.\nAnswer: 4800*sqrt(5) + 1800016","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 1\/6 of a minute?\nAnswer: 10000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*u**2\/9 + 16360*u\/3 - 16728100.\nAnswer: -4*(u - 6135)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 5676 to the power of 1\/3, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-10)\/((-70)\/21))\/(-3).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -232.59646 to zero dps.\nAnswer: -233","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 2*u**2 + 8*u + 6. Let h be 1 + (1 - 7 - 0). Let s be c(h). Suppose 4*b = 10*b - 384. Calculate the greatest common factor of b and s.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 3, -25, -5, 13?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jjjjjjj. Give prob of sequence jj.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 6414563 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1\/7, 5.9, -5\/31?\nAnswer: 5.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b - 4*r + 113 = -6*b - 3*r, 3*r + 305 - 391 = 4*b for b.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2362.97601 milliseconds to days.\nAnswer: 0.000027349259375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20\/336*536\/(-335).\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -434, -432, -430, -428?\nAnswer: -426","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 13101352 to the power of 1\/3, to the nearest integer?\nAnswer: 236","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 86 is divided by 49.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 2*j**2. Let n(a) be the second derivative of 0*a**2 + a + 4\/3*a**3 + 0. Give n(c(g)).\nAnswer: 16*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.1 and 302751501119.\nAnswer: 302751501119.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -42 + 48. Suppose 7*j + w = 48. Calculate the remainder when ((-48)\/(-20))\/(6\/40) is divided by j.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -9*p**2 - 13*p + 9. Let u(n) = 5*n**2 + 7*n - 5. Calculate 11*u(z) + 6*y(z).\nAnswer: z**2 - z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -371*s**6 - 98*s**2 - 2*s wrt s.\nAnswer: -44520*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 9 + -9.5. Let a = 175 + -175.198. Let x = a + 2.198. What is the nearest to -2\/5 in j, x, -4?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -117 greater than or equal to -119?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -1\/69, -0.4, -69, 1\/7, 0.4?\nAnswer: -1\/69","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -28 + -3. Let h = 67 + d. Suppose 3*a - 31 = -4*g, g + 26 = 3*a - 0*g. Calculate the greatest common factor of h and a.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 108142810*q**3 - 298867102 wrt q.\nAnswer: 324428430*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 2, a: 6}. Give prob of sequence pa.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 367 = 25*i - 4833. Does 8 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is 477411 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -y**2. Let s(i) = 8*i**2 + 71*i + 18. Calculate s(b(g)).\nAnswer: 8*g**4 - 71*g**2 + 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1091523nm in millimeters?\nAnswer: 0.0000001091523","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + 5 = w, -4*i - 3*w - 10 = -5*w. Suppose 2*o + i*o = 10. Suppose -r + 6 = 3*j - j, -o*j = 4*r - 30. Calculate the least common multiple of 4 and r.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13434?\nAnswer: 2, 3, 2239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.2 - -0.8. Suppose 4*f = -f + 30. Let s be (-2)\/(-9)*f\/4. Which is the nearest to -2? (a) s (b) r (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wdllwdwndwwndu. Give prob of sequence dnud.\nAnswer: 1\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = b**3 + 3*b**2 - 4*b + 3. Let y be u(-4). Let q = 2 - 0. Suppose 3*g = -q*g. Solve -3*i - r = 11, -2*i + 11 = -y*r - g for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -11*a + 11. Let r(q) = 5*q - 5. Let b = -68 + 59. Let f(c) = b*r(c) - 4*w(c). Determine f(-4).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1206.3 rounded to the nearest 10?\nAnswer: 1210","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1\/20 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35 = q + 4*q. Suppose -5*g - q*g + 432 = 0. What is the remainder when 175 is divided by g?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.3 and -55830?\nAnswer: 55830.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 4*v + 20 = 0, b - 5 = -4*b + v. Let m(n) be the third derivative of 3\/80*n**5 + 0 + b*n + 7\/96*n**4 - 3*n**2 - 1\/12*n**3. Factor m(g).\nAnswer: (g + 1)*(9*g - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 1099, 2303, 3509, 4717, 5927, 7139?\n\"Answer: h**2 + 1201*h - 103","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -54 = t + 5*j, -21*j + 34*j = -5*t - 138 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (16\/2112*-6)\/((-21)\/(-1008)).\nAnswer: -24\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4 - 7*u**2 + 0 - 2*u - 13 wrt u?\nAnswer: -14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = b**2 + 2*b - 2. Let k = -18 - -12. Let p(c) = -c**2 - 3*c + 3. Let s(j) = k*p(j) - 7*h(j). Suppose -2 = -o + 1. Give s(o).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -709*k = -715*k + 51168. Is 52 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0002775754 to 5 dps.\nAnswer: -0.00028","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 535011349 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(208))**2 + (sqrt(143)*2)\/sqrt(11) + 5.\nAnswer: 10*sqrt(13) + 214","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 53187 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 11, 6, -21, -82, -189, -354, -589, -906?\nAnswer: -1317","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 188500 and 79750?\nAnswer: 2073500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c - 48 = -3*c. Let q = -22 + c. What is the units digit of 20\/q*(-3)\/2?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 4059*v**2 + 3*v - 251. Let g(t) = -2026*t**2 - 2*t + 126. Let j(q) = -3*f(q) - 5*g(q). What is the second derivative of j(u) wrt u?\nAnswer: -4094","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -37670 divided by -10.\nAnswer: 3767","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 - g**2 - g**2 - 195*g - 4*g**3 + 197*g to f*g**3 + m*g**2 + z + k*g and give z.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 56 divided by 11033\nAnswer: 56\/11033","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1644339 is divided by 548097.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -9199.75 to the nearest 100.\nAnswer: -9200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*(sqrt(245) + sqrt(245) + -1 + -1 - sqrt(245)) - (0 + (sqrt(500) - sqrt(500)*-2))*4)*-2 + -4)**2.\nAnswer: -6432*sqrt(5) + 359264","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*w + 3*w. Suppose w = -3*j + j + 4*o + 6378, 3*o = 15. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 15*d + 0*d + 11*d)*(-3 + 3 - 4).\nAnswer: 16*d - 16","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5 (base 8) to base 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1227869 + 304510785\/248. Let x = y + 56\/31. Find the common denominator of -67\/3 and x.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 151*d - 21*d - 3*d + 33*d to the form q*d + i and give q.\nAnswer: 160","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 17628472 and 30?\nAnswer: 264427080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 1\/4 of a gram?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = o - 1. Let w(x) = -2*x. Let n(z) = -3*d(z) - 4*w(z). Let p = 606 - 608. Calculate n(p).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p - b + 11 = -11, -4*b = -p - 4. Solve -p*x - x = -2*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 620 = -3056. What are the prime factors of r?\nAnswer: 919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (4 + -1)*10\/6. Suppose -3*n + 3*q = 7*q + 5, n + 1 = -2*q. Put c, -4, n in ascending order.\nAnswer: -4, n, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6368971, 6368970, 6368967, 6368962, 6368955?\nAnswer: 6368946","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 96, 49.709.\nAnswer: -3, 49.709, 96","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1780107.\nAnswer: 3, 7, 29, 37, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:25 PM and 2:37 AM?\nAnswer: 432","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find l, given that 2*l**5 + 2736*l**4 + 930210*l**3 - 3772964*l**2 - 2774184*l + 16941456 = 0.\nAnswer: -686, -2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s**3 - 920315*s**2 + 2760954*s = 0. Calculate s.\nAnswer: -920318, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 637437 + 3?\nAnswer: 63743a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 6? (a) -22 (b) -2\/9 (c) 1 (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 4256329 and 147423759.\nAnswer: 1621661349","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((64\/(-28))\/(-4))\/(((-12)\/105)\/((-1508)\/3770)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -42 = -68*k + 26*k for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 332 + 364 = -8*j. What is the remainder when (0 + j\/3)*(-2)\/2 is divided by 16?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -c - 9. Let u be r(-10). Let z be (-10)\/5 + u + 3. Solve -6*j + 4*x = -j + 2, z*j - 4*x + 8 = 0 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = y**2 - 2*y. Let g be u(0). Find the second derivative of t**4 + 6*t + g*t**2 + 0*t**2 - 2*t**4 wrt t.\nAnswer: -12*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1.6, 5, 52, -2 in decreasing order.\nAnswer: 52, 5, 1.6, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 418?\nAnswer: 2, 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 93\/(-30) + -4 + 8 + 20120\/(-12575)?\nAnswer: -7\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*h - 1 + 9 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (3*7\/(-7))\/(1*-1). Suppose -4*g = g + y*a - 1248, 2*a = -8. What are the prime factors of g?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -23164 take away 9713084?\nAnswer: -9736248","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 572 is divided by 34.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l = 4*l + 7. Let w(o) = -l*o**2 - 35 + 15 + 16 - o**3. Let c be w(-7). Sort -2, c, 5 in ascending order.\nAnswer: c, -2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (10 - 11)*(-2 - -2). Suppose u = -q + 6*k - 2*k + 48, 0 = 3*q + 4*k - 128. What is the units digit of q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 17*v**2. Let d(u) be the third derivative of u**4\/12 - 107*u**3\/3 + 13*u**2 - u + 1. Determine d(l(r)).\nAnswer: 34*r**2 - 214","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 253*v**3 - 5*v**2 + 3*v + 2. Is t(3) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -y**3 + 12*y**2 + 47*y - 21. Let u be r(15). Let q(h) = -3*h**2 - 26*h**2 - u*h**2. Let m(d) = 4*d. Calculate q(m(b)).\nAnswer: -608*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*c + 5*r + 17, -2*c + 14 = 3*c + r. Suppose -c*d = 5*h - 1403, -5*d = -2*h - 3*d + 558. Is h a multiple of 35?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*v + 335 = 49*v. Suppose v*u + 2*b - 143361 = 0, 4*u - 2*b = b + 114698. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -10*c**2 - 10*c + 4. Let d(f) = 3*f**2 + 3*f - 1. Calculate -21*d(o) - 6*u(o).\nAnswer: -3*o**2 - 3*o - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1982.\nAnswer: 2, 991","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/4*(-226)\/565)\/((-18)\/(-20))?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 6 + 1. Suppose -r + 18 = g + c, 3*c - 15 = 0. Suppose x = 5*u + g - 21, -2*x - 10 = -5*u. Solve -h + 2*h + 3*y + 12 = 0, 0 = 3*h + y + u for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 5, -12, -3, 9 in decreasing order.\nAnswer: 9, 5, -1, -3, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 16\/2*99\/308*-7?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Add -12.02 and -10.1.\nAnswer: -22.12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.1 + 0.2. Let h be 31\/155 - (1 - (-51)\/(-45)). Put 5, u, -2\/11, h in decreasing order.\nAnswer: 5, h, u, -2\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -93 - -130. Let c = u - 21. Let s = 75 - c. Is s a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1964908*h**3 + 247*h**4 - h**2 + 1964908*h**3 + 3*h - 181 wrt h.\nAnswer: 2964*h**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -1\/2 and -29 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.01 (b) 0.5 (c) 4 (d) -97 (e) -341 (f) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 169*y - 2853. Determine u(23).\nAnswer: 1034","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 67390 divided by 46\nAnswer: 1465","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 0 + -1 + -9 + 30\/6. Which is the third biggest value? (a) l (b) -2 (c) 2\/7 (d) 13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 247\/(-1235)*(-10)\/2*67.\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -99\/3580 and -49\/2000?\nAnswer: 358000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -2000*7\/((-21)\/22800). What is w rounded to the nearest one million?\nAnswer: 15000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1676579 rounded to three dps?\nAnswer: 0.168","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) be the second derivative of -1\/35*s**5 - 2\/35*s**6 + 1\/42*s**7 + 1\/6*s**4 - 1\/14*s**3 + 0 - 30*s - 1\/7*s**2. Factor k(q).\nAnswer: (q - 1)**3*(q + 1)*(7*q + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 9*b**4 - 1555*b**3 - 3496*b**2 - 700*b = 0. What is b?\nAnswer: -2, -2\/9, 0, 175","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lyslcyykyssyxky. What is prob of picking 1 s, 2 k, and 1 l?\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -160 minus 2877724?\nAnswer: -2877884","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 23624.59nm?\nAnswer: 0.02362459","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.3733 - 0.399. Round b to two dps.\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*x - g + 2*g - 41, 48 = -4*x - 2*g. Let m = x + 14. Let w(v) = 4*v**2 - 2*v + 1. Determine w(m).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - (1 - -1) - (-7 + 6).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-13)\/2*2\/5 - -3. What is the closest to -30 in 3\/4, 0.5, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -15 or 849?\nAnswer: 849","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.54117123 + -0.044.\nAnswer: 0.49717123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*g**4 + 2*g**4 + g**4)*(2 + g - 2)*(4 + 11 - 2).\nAnswer: 65*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 636 = 6*t + 210. Is t a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 596938 and 1991.\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 37 + (-20 - (8 + -6)) + 9?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 13, g: 3, a: 3}. Give prob of sequence ca.\nAnswer: 13\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -v**3 + 7*v**2 - 3*v + 9. Let i be o(7). Let f = -8 - i. Suppose -r = -f - 4. What is the units digit of r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (0 - 1\/2)*2. Let w be (14\/(-28))\/(s\/(-1314)). Is (w + -1)*(-5)\/10 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000027959 rounded to 7 dps?\nAnswer: 0.0000028","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pd when two letters picked without replacement from fpwdfwfwwwf?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -117 + 229. Suppose -s - 53 = -2*s + 5*p, s = -p + 77. Let i = l - s. Is i a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -15940 + 30638. What are the prime factors of g?\nAnswer: 2, 7349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*a**3*q**2 - 82701*a**3 - 714684*a**2*q**5 - 11*q wrt q?\nAnswer: -6*a**3 - 14293680*a**2*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 4, b: 2, v: 10}. Give prob of picking 1 q and 1 v.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*x - 17 + 83. Calculate the remainder when 106 is divided by x.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 4*u = -10, -5*a + 4237 = -u. Let q(o) = o - 847 + a + o. Let i(c) be the first derivative of -3*c**2\/2 - 2. Calculate q(i(r)).\nAnswer: -6*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -823 + 0.05?\nAnswer: -822.95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/5 in -3\/8, 1, -9?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 7914125417 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) be the third derivative of -2*d**5\/5 - 19*d**3\/6 + 11*d**2. What is the derivative of f(q) wrt q?\nAnswer: -48*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1929\/805 - -3\/805. Find o such that -4\/5*o**2 - k + 16\/5*o = 0.\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 25*s**2 - 29*s**2 - 96790*s - 22 + 96813*s. Give q(5).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l**2*l)\/l**(-1\/4))**(2\/3) assuming l is positive.\nAnswer: l**(17\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2394 and 3762?\nAnswer: 26334","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 10 - 9.9. Let t = -18.39 + 18.2901. Let a = w + t. What is a rounded to 5 decimal places?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = y**3 + 10*y**2 + 7*y - 15. Give z(-9).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i**(1\/26)*i*i*i\/(i*i*i**32\/i))**(-31) assuming i is positive.\nAnswer: i**(23343\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3484 + -3487.3. Is -2\/15 greater than o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x**3 - 1591065*x**2 - 120938499*x + 122529561 = 0. What is x?\nAnswer: -77, 1, 530431","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -17*l. Let v(b) = 14*b + 16*b + 9*b - 38*b. Determine t(v(y)).\nAnswer: -17*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -437 - -442. Let t = 20 - 12. Suppose -52 = -l*k + t. Solve 2*p - 2*d = -3*d + 12, 0 = -5*p + 2*d + k for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/7? (a) -0.3 (b) 8 (c) 0.1 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 722287801 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 1.545*-30.8\nAnswer: -47.586","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 114 (b) -0.2 (c) 1 (d) 1256 (e) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4037301758?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 1\/5 of a millennium?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q when two letters picked without replacement from {q: 2, h: 2, g: 7}.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 8\/(-10) + 28\/10. Let h(w) = -678 + 630 - w**z + 17*w + 4*w. Let a be h(18). Solve -4 = -5*x + a for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11732620 + -0.3802686\nAnswer: 11732619.6197314","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1984561159 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 61, 178, 371, 634, 961, 1346?\n\"Answer: -f**3 + 44*f**2 - 8*f + 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -z**2 - 121*z + 657. Calculate f(-126).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12 - 398*q - 12 - 31*q - 73*q + 48*q.\nAnswer: -454*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -34 - -50 - (17 + 3).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + sqrt(52) + -3.\nAnswer: -2 + 2*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 533 - 6293 = -288*p for p.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 48396726, 48396730, 48396732, 48396732?\n\"Answer: -v**2 + 7*v + 48396720","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 0 - 4 + 4 - 1. Let l(i) = -3*i + 4. Let q(n) = 4*n - 121. Let a be q(30). Determine a*l(p) - 4*w(p).\nAnswer: 3*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*w - 8895 = -y, -w + 30*y - 35*y = -1146. What are the prime factors of w?\nAnswer: 11, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*b + 4*b - 3*q + 4, -3*q + 1 = -2*b. Solve b = 3*p - 2*p for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -54*u + 22831 - 6415 = 0. Calculate the least common multiple of 760 and u.\nAnswer: 1520","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 55380499819 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 624 minutes before 12:21 AM?\nAnswer: 1:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12 + 919458*y - 12 - 131589*y.\nAnswer: 787869*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Are 2 and 2\/6539 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-37)\/3 - (-7)\/21. Is 18*-3*2\/b even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -9021\/47 or 3.6?\nAnswer: 3.6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-6)\/(-27) + (-2)\/9. Let f(p) = p**2 + 10*p + 13. Let n be f(-9). Suppose 7*g - 18 = -3*z + 2*g, -n*z + g + 24 = q. Solve z*k = 3*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -2*t**3 - 60*t**2 - 15*t - 171. Give i(-29).\nAnswer: -1418","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1349433 by 3657.\nAnswer: 369","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 10106*u - 768082. Give q(76).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 17992*d - 72239. Determine m(4).\nAnswer: -271","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (406\/4)\/(194\/28 + -7). Let f be u\/147*6\/(-10). Do 7 and f have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -m**3 + 3*m**2 + 3. Suppose 2*k - 2 = n + 1, 3*k = 4*n - 3. Let f be j(k). Differentiate 6*r**3 + 4 + 6*r**3 - 3*r**3 - 2*r**f wrt r.\nAnswer: 21*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = l**3 - l**2 + l - 2. Let g be c(0). Is (-283)\/g + 18\/(-12) a multiple of 35?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2702 = -10*c - 642. Let i = c + -203. Calculate the greatest common factor of 22 and i.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 83824082611 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -534398 + -221.2?\nAnswer: -534619.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 245153242 to the nearest integer?\nAnswer: 15657","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -12 + -12554124?\nAnswer: -12554140","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1 - 1346883?\nAnswer: -1346882","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1881267?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 9 - 8. Let n = 179\/858 - 7\/26. Which is bigger: w or n?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l - 4*m - 22 = 0, 20*l + 3*m - 29 = 21*l. Let a(q) = -q**3 - 15*q**2 - 12*q - 2. Calculate a(l).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 59*r - 315*r = 222*r - 2390. Suppose -7*f = -2*f + 4*k + 8, -2*f = 5*k + 10. Solve -z = -r*q - 12, -q + f*q + 5*z - 12 = 0 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37 + 21 = -4*w. Suppose -w*y + 96 = -y. Calculate the greatest common factor of 80 and y.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 68050 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 0.2122 * -62\nAnswer: -13.1564","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 8888, 8297, 7706, 7115, 6524?\n\"Answer: -591*w + 9479","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xvp when three letters picked without replacement from {p: 6, x: 5, v: 4}?\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) be the second derivative of -145*s**4\/6 - 17*s**3\/6 + 3282*s**2 - 13*s - 289. Find the first derivative of i(k) wrt k.\nAnswer: -580*k - 17","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 7 in 17, 9.2, -0.5, -18\/7?\nAnswer: 9.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 116? (a) 2 (b) 61.2 (c) 699\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Determine y, given that 4*y**4\/5 - 484*y**3\/5 - 66696*y**2 - 22816832*y\/5 - 4496768 = 0.\nAnswer: -172, -86, -1, 380","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 91*g - 91*g - 9*g**3.\nAnswer: -9*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -644066*v**2. Let r(h) = 3*h. Determine r(b(z)).\nAnswer: -1932198*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -249 - 33 = -5*l - 2*o, l - 54 = -o. Suppose -l + 167 = a. Round a to the nearest 10.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = d**3 + 6*d**2 - 2*d + 6. Let j = 11 + -17. Let y be i(j). Suppose 5*v - 47 = y. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -1885*v + 986. Let o(q) = -23*q + 12. Let l(w) = -6*m(w) + 493*o(w). Let k(b) = 7*b. Calculate l(k(f)).\nAnswer: -203*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 8 - 5. Let w be 17\/q - (-4)\/12. Let h(d) = -3*d - 12. Let f(s) = s + 4. Let v(j) = w*h(j) + 17*f(j). Differentiate v(y) with respect to y.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5 + -5.3. Let m = -1.52 + -66.48. Let i = 67.91 + m. Sort 0.2, i, q in increasing order.\nAnswer: q, i, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**8*h**(2\/49) assuming h is positive.\nAnswer: h**(394\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 729.71 + -733. Let y = -2.29 - n. Which is the third biggest value? (a) 5 (b) y (c) -4 (d) -2\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h**4 + 1050*h**3 + 31644*h**2 - 11977098*h - 12007695 = 0.\nAnswer: -217, -1, 85","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 530 minutes after 4:22 PM?\nAnswer: 1:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -k**3 + 8*k**2 - 9. Let c be z(8). Let f = -17 - c. Let a = 34 + f. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 142322961 to the power of 1\/2, to the nearest integer?\nAnswer: 11930","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -t. Let n(i) = -911*i**2. What is o(n(j))?\nAnswer: 911*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18945*d = 18933*d + 2*s + 8, 8 = 4*d - 2*s for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rmrm when four letters picked without replacement from jmmrjrjmjjm.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mmhmmmmmmmmmhh. Give prob of picking 2 h and 2 m.\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of ((-204)\/(-9))\/((-2)\/(-3))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -12 + 12.1. What is the closest to b in -1.3, 3\/5, 4?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21210200100 (base 3) in base 6?\nAnswer: 3143013","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -101\/19158 and -33\/10?\nAnswer: 95790","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + (-7 - (-8 - 3)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve y + 30 = -17*y + 174 for y.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 262247525?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*n**2 - n**2 - n**2)*(-8 + 36*n + 8)*(-106 + 6*n + 106 - n**2).\nAnswer: -72*n**5 + 432*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -4*p**2 + 5. Let v(m) = 5*m**2 - 6. Let k(s) = 6*r(s) + 5*v(s). Let w be k(-2). Suppose g + 5*b - 38 = 0, -w*b - 103 = -0*g - 5*g. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = 2*v + 21, -3*v - 2*v - 54 = -2*o. Let s be v\/(-8)*8\/(-42). What is the third biggest value in -6, s, 1, -3\/7?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 7415 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 72, 70, 68, 66, 64, 62?\nAnswer: 60","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 157789 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 37350 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1.38465 + 0.21535. Is j > -372?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -84*x**3 - 2*x**2 + 1. Let c be 5 + 10\/(-2) - 1. Let y be w(c). Let r = -81 + y. Solve -5*g - r*b + 6*b + 5 = 0, -3*b = -4*g + 5 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) be the second derivative of -g**3 - 3*g**2 + 2*g - 1. Give h(5).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -9\/16 and (4 - 338\/24)*1?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1 (b) 0.3 (c) 2\/11 (d) -0.49 (e) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15167371 divided by 3.\nAnswer: 15167371\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4 + -1 + sqrt(468) - (sqrt(468) + (-5*-2*sqrt(468) - sqrt(468)))) + 2 + 2 + -2 + sqrt(468) + -1 + sqrt(468) + -5)**2.\nAnswer: 84*sqrt(13) + 22933","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 72752?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1)\/5 + (44\/(-130) - 0). Let n = -8\/39 - j. Let v = -0.3 - -0.1. What is the third smallest value in 0, n, v?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00014748942 to 6 decimal places.\nAnswer: 0.000147","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 2*w + 40. Calculate the remainder when i(0) is divided by 14.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r + 20 = 4*p, -17*r + 4 = -12*r - 4*p for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 85\/2 and 8\/6*306\/(-156).\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 2 + 2)*(3*b**3 - b**3 - b**3)*(22*b**2 - 13*b**2 - 12*b**2).\nAnswer: -3*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -k**3 + 4*k**2 + 12*k - 30. Let l be i(5). Suppose m + l*s = 5*m - 186400010, -139800004 = -3*m + 2*s. Round m to the nearest one million.\nAnswer: 47000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 2*h**2 - 2*h - 5. Let w(t) = 144*t - 60*t - 4*t**2 - 62*t + 9*t**2 - 15 - 28*t. What is 11*n(a) - 4*w(a)?\nAnswer: 2*a**2 + 2*a + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 117 plus 10.31765?\nAnswer: 127.31765","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 42*-14.\nAnswer: -588","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 45 = 3*s. Let u = s + -11. Let v(n) = n**3 + n**2 - n - 2. Determine v(u).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.033 - -7.267. Let y = -7 + l. Let j = y - 0.196. Round j to 2 decimal places.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) be the third derivative of -z**7\/525 - z**6\/100 - z**5\/50 - z**4\/60 - 17*z**2. Factor v(n).\nAnswer: -2*n*(n + 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -19 + 41. What is the lowest common multiple of (-4)\/c - (-90)\/11 and 6?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 227500 divided by -364\nAnswer: -625","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (6288*z**2 - 3021*z**2 - 3032*z**2)*((-2 - 1 + 2)*(-4 + 0 + 5) + 0 + 1 - 4) to the form m*z**2 + l + r*z and give m.\nAnswer: -940","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - 1 + 9*x + 6)*(1 - 3 + 7)*(0*x + 0*x + 2*x)*(-1 + 0 + 0).\nAnswer: -90*x**2 - 10*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2\/3 (b) 4593 (c) -0.39\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) be the second derivative of -7*b**4\/12 - 3103*b + 2. Let g(o) = -5*o + 27. Determine g(w(p)).\nAnswer: 35*p**2 + 27","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -26 - -89. What is the remainder when q is divided by 14?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 5\/13, -0.0907, 0.3?\nAnswer: -0.0907","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 120294*y**2 - 258251*y**2 + 137958*y**2.\nAnswer: y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1017 and 9081.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 222439 is divided by 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3266281 and 1067?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 q when three letters picked without replacement from zzzqzqqqzqzqzqzz.\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*1*1*sqrt(68))\/(-5*(sqrt(100) - 3*sqrt(100) - sqrt(100) - sqrt(100))).\nAnswer: -3*sqrt(17)\/100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19687 - 36561 - 1316 = 2208*j - 804*j for j.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:56 AM and 10:30 AM?\nAnswer: 454","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 869 and 872399?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-24)\/(-14))\/(6\/105). Suppose 2*v = 4*l - q + 80, -3*v - l = -40. What is the tens digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 27\/313 + -35283\/6260. Calculate the common denominator of q and 97\/10.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2446350?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -5290b (base 13) to base 4\nAnswer: -210103323","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34 = 10*d - 346. Suppose -5*v + 6303 = -d*v. Which is smaller: v or -189?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 112 = -2*l, 0 = 3*x - 4*l - 62 + 6. What is the least common multiple of x and 12?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 9*c - 26. Let l be i(5). Let y = l - 15. What is the smallest common multiple of 31 and y?\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 5594069 or 5594071?\nAnswer: 5594071","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1313912?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o = -x + 4 - 1, -2*x = o + 8. Let l be x\/2 - (-225)\/126. What is the closest to 0 in 5, -2\/17, l?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2386570 to the power of 1\/2, to the nearest integer?\nAnswer: 1545","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 13502747?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3*l - 6*l + 4*l)*(1 - 3 + 1) + 2*l + 3*l + 0*l)*(20 + 34 - 6).\nAnswer: 192*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 2*p**3 + 8*p**2 + 7*p + 3. Let x be u(-3). Suppose x = 3*n - 32*n + 464. Solve -8 = 18*z - n*z for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 865?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*s - 0*s - 33*z - 179, -z = -0*s - 8*s - 7 - 44 for s.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 733 = -2*b - 5*v + 1423, -2*v = -5*b + 1667. Solve -35*a - b = -55 for a.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 - (-3 + 8 + -12) - -1 - 5?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 15 and 1730?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:46 PM and 10:54 PM?\nAnswer: 428","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (21\/14)\/(39\/4).\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -109 = -l + 3*f - 114, -3*f = -3*l - 9 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.1 (b) 0 (c) 1\/4 (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 3698 + -32 - (2 - (-3)\/(-1)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1976536?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*i**2\/7 - 29500*i\/7 + 351754.\nAnswer: -2*(i - 83)*(i + 14833)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*v**2 - 3*v**2 - v**2)*(2*v**3 - 6*v**3 + 3*v**3) - 5 + v**5 + 5.\nAnswer: 3*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-6*(-4)\/(-3))\/(-2). Suppose 4*b + 227 - 1255 = -2*u, -4*b = -s*u + 2032. Round u to the nearest one hundred.\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 160.8 - 160.79996209. What is v rounded to 5 dps?\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4472 by 2236.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -y - 14. Let f be p(4). What is the common denominator of -49\/18 and (-1)\/f*4641\/(-68)?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -120*x + 16*x + 6864 = 0. What is the smallest common multiple of 84 and x?\nAnswer: 924","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25219 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 6650908, 6650909, 6650912, 6650917?\n\"Answer: r**2 - 2*r + 6650909","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 2 - 4821*f + 4822*f.\nAnswer: f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -8*m - 1496. Let d be p(-187). Let g(u) be the third derivative of -1\/3*u**3 + 1\/30*u**5 + 27*u**2 + 1\/12*u**4 + d*u - 1\/60*u**6 + 0. Factor g(r).\nAnswer: -2*(r - 1)**2*(r + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l - w = -5, 5*w = 2*l - 15 + 6. Which is the biggest value? (a) -1 (b) l (c) 31\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 112d (base 14) to base 12\nAnswer: 1885","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -51*t - 1153. List the prime factors of h(-76).\nAnswer: 7, 389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4.8 + 0.8. Suppose -3*w - 3 = -6*w. Let c = w - 1. What is the smallest value in c, 1, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4730558 smaller than 108802814\/23?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -0.06, -74419, -0.1, 21?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -852 by -4.\nAnswer: 213","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 76972.\nAnswer: 2, 7, 2749","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(-2\/29)*t**(-18))\/(t*t**22*t**(-4\/11)*t))**(1\/36) assuming t is positive.\nAnswer: t**(-3326\/2871)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -15, -11, -7, -3?\n\"Answer: 4*g - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-20)\/3)\/(34\/(-357)). Let j be 2\/10*1 - 1344\/o. Let c = j - -19. Solve 0 = -2*i - c*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 792823?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(1300) + 1*sqrt(1300) + 2)*-5)**2 + ((1*sqrt(78)*2 + sqrt(78))\/(sqrt(486)*1))**2)*1.\nAnswer: 2000*sqrt(13) + 1170913\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1224, 5940, 13814, 24846?\nAnswer: 39036","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3237?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Are 108 and 11 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide 131952650 by 12175.\nAnswer: 10838","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a = 5*s - 30, s = 5*a + 22 - 8. Let w(t) = 24*t + 1. Is w(s) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by 10288230.\nAnswer: -1\/5144115","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 212104?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 7*z. Let b be v(4). Suppose 2*n - b = -2*n. Suppose n*u = 11*u - 64. What is the remainder when u is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4735\/4 - -1194. Find the common denominator of -43\/16 and o.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = n - 3*n - 2*n. Solve -m + 13 = -2*d, -4*m = -d - n*d - 24 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.04339 + 0.14339. What is the closest to -4\/31 in 0.5, 2\/19, 0, m?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 96, 113, 130, 147, 164, 181?\n\"Answer: 17*s + 79","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 881785 and 5?\nAnswer: 881785","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) be the third derivative of -1\/132*h**4 + 0*h**3 + 1\/165*h**5 + 0 + 0*h - 1\/660*h**6 + 17*h**2. Factor u(g).\nAnswer: -2*g*(g - 1)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 2*l**3 - 198*l**2 - 19*l + 1171. Determine k(99).\nAnswer: -710","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 158 minutes after 8:21 AM?\nAnswer: 10:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = k**3 - 12*k**2 - 13*k + 1. Let s be t(13). Let x(q) = q - 1. Let z(c) = -5*c + 9. Let f(n) = s*x(n) + z(n). Is f(-7) a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3.7*2\nAnswer: 7.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-67)\/42 + 1 - (455\/26 - 18).\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5204 (base 12) to base 16.\nAnswer: -22e4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -82 * -0.4\nAnswer: 32.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 29.137135 to two dps.\nAnswer: 29.14","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(4*(2*sqrt(19)*-4 + sqrt(1216) + 1))**2.\nAnswer: -80","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = w**2. Let l(s) = -4 - 698*s + 1 + 673*s. Give l(b(c)).\nAnswer: -25*c**2 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 45900 and 3810.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 4460\/11 or 1.5?\nAnswer: 4460\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 46*b - 30*b + 54*b = -140 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 88\/(-10)*(-15)\/6. Suppose 2 = -4*p + a. Solve z = p*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1\/2, -2, -209?\nAnswer: -209","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*w**2 - 255*w + 252.\nAnswer: 3*(w - 84)*(w - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pl when two letters picked without replacement from mlspp?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 - 17*t**2 + 10*t**2 + 6*t**2 - 29*t**3 - 4*t**2 to the form b*t + d + k*t**2 + a*t**3 and give a.\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*n = -2275 + 245. Suppose 28*s = 33*s - 3*l - 38, -n = -5*s - 5*l. What is the closest to s in 0.4, -1, -5?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 15696 and 2736.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -195*g**2 + 1071 wrt g.\nAnswer: -390*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c - 1 = -j, -2*j = -2*c - 7*j - 17. Let g(d) = 4493*d**2 - 17*d - 17. Is g(c) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (5*q - 3*q - 6*q)*(-55*q**3 - 88*q**2 + 88*q**2) in the form s*q**2 + x*q**3 + c*q**4 + i*q + f and give c.\nAnswer: 220","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, 5, -116, -180, -2, -12 in ascending order.\nAnswer: -180, -116, -12, -6, -2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + 4 + -2 + -3 + -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (2\/30)\/(-4 - 210\/(-50)). Let v = 1 + -1. Let u = 5 - 4. Which is the closest to u? (a) d (b) 4\/3 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -7804 + 7805. Let f(u) = 30*u**3 - 3*u**2 - 2*u + 3. Give f(g).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-7)\/((-28)\/8) + -24. Suppose -5*m - 274 = 3*p, 0*m - 4*p - 118 = 2*m. Let g = i - m. Is g a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -102 divided by -95\nAnswer: 102\/95","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 6449 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*b - 1330 - 245. What is the units digit of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -50.6 at most as big as 56141\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-15)\/(-2)*(-2)\/(-3). Suppose -i - 2*w = 2*i - 16, -4*w - 12 = -p*i. Solve 6 = -0*x + x + 2*z, -4 = -2*x + i*z for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find u such that 3*u**2 - 4046562*u - 109259361 = 0.\nAnswer: -27, 1348881","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 3721.1 rounded to the nearest one thousand?\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -322945 * 0.3\nAnswer: -96883.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -3*f - 32. Let r be s(-8). Let d(w) = 4*w**3 - w**2 + w + 4. Let y(h) = 5*h**3 - h**2 + 3. Let i(n) = 6*d(n) - 5*y(n). Is i(r) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-2)\/(-1))\/((-6)\/15). Let z(k) = k**2 + 2*k - 2. Let m(y) = -2*y**2 - 5*y + 5. Let g(w) = p*z(w) - 2*m(w). Let a(c) = 4*c**2 + 3 - 3. What is g(a(s))?\nAnswer: -16*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 53.9 - 56.9. Put 1, 2\/5, -72, w in increasing order.\nAnswer: -72, w, 2\/5, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.12417 milliseconds in nanoseconds?\nAnswer: 4124170","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -3 + -1244?\nAnswer: -1302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express 1904*o**2 + 54*o**4 + 44 + 3*o - 47 + o**3 - 3812*o**2 + 1901*o**2 as t + p*o**4 + w*o**3 + s*o**2 + k*o and give w.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 16 (base 9) to base 12.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -154, -604, -1360, -2428, -3814, -5524, -7564?\nAnswer: -9940","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 49304?\nAnswer: 2, 6163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-17 - 5 - 15*j + 19 + (-3 + 3 + 2)*(0 - j + 0) - 3 - 4*j + 3)*(2*j + 3*j - 3*j) to c*j + g*j**2 + i and give g.\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 34*w - 27. Let n(s) = 11*s - 9. Let r(j) = -6*g(j) + 17*n(j). Is r(-7) a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 10*j + 13. Let c be k(-3). Let f(d) = -d - 12. What is f(c)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -10 + -40 + 84 - 33.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 2300, 2307, 2324, 2357, 2412, 2495, 2612?\n\"Answer: f**3 - f**2 + 3*f + 2297","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -62 by -2122077.\nAnswer: 62\/2122077","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -2060, 2\/9, 0.2, -2, 16?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h*h*h*h\/((h\/(h*h*h\/h**(4\/21)*h*h))\/h)*((h\/h**(-2\/3))\/h*h)\/h assuming h is positive.\nAnswer: h**(199\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19139009?\nAnswer: 19139009","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1175462 - 13?\nAnswer: 1175448","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -23 + 23. Suppose 108 = -o*r + 4*r. Calculate the highest common divisor of r and 243.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 143 + -144. Let p be 2\/2 + (-1)\/z. Solve 0 = -l + g + p, 5*l - g - 10 = -3*g for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 60 - 56. Solve 2*q - 7 = a, -d*q + a = 3*a - 18 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -165, -328, -491, -654, -817?\n\"Answer: -163*j - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 63\/340 - -1\/68. Let m(x) = 4*x - 1. Let w be m(5). Let v be ((-4)\/10)\/(w\/5). Which is the nearest to 0.1? (a) 5 (b) s (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 64900000 rounded to the nearest one million?\nAnswer: 65000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) be the second derivative of -50*v**2 + 3\/2*v**4 - 89*v + 1 + 223\/3*v**3. Factor z(s).\nAnswer: 2*(s + 25)*(9*s - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 7.42 - 0.72. Let l = r + -7. Let m = -48 - -50. Which is the nearest to 0? (a) 4 (b) m (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -552*c**3 - 151*c**3 + 153*c**3 + (1 + 1 - 1)*(c**3 + 2 - 2) + 2*c**3 + 3 - 3.\nAnswer: -547*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1715)*1*-4)\/(sqrt(567) + -1*sqrt(567) - sqrt(21)\/(-1*sqrt(3))).\nAnswer: -28*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1086 to the power of 1\/2, to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 - 3413864.3?\nAnswer: -3413864.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 844157?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 = -2*j + 3 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -7*b**3*w*x + 3*b**3*w + 24*b**3 + 19*b*v + 3*b - 3575*v*w*x - 2*v wrt x?\nAnswer: -7*b**3*w - 3575*v*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**0*t*(t\/((t*t\/t**(2\/5))\/t)*t)\/t*t*(t*((t*t**(-6)*t)\/t*t)\/t)\/(t*t**(2\/9)) assuming t is positive.\nAnswer: t**(-127\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 12655?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -16 + 10. Let k = 5.6 + s. Put 0.1, k, -1 in descending order.\nAnswer: 0.1, k, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**(8\/5)*t**(7\/4)*t assuming t is positive.\nAnswer: t**(87\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) be the first derivative of 11*i**4\/15 - 2*i**3\/15 - 526. What is k in a(k) = 0?\nAnswer: 0, 3\/22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 22 - 5. Suppose -c + 5*x = -g, -c + 2 = x + 3. Find the second derivative of -2*y**c - 3*y - y**2 + 2*y**2 wrt y.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 - 4 + 3)*(-2 - 47*u - 39*u + 0) to p + o*u and give o.\nAnswer: 86","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t - 2 = c, 22*t - 18*t + 3*c = 0 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -672*n + 953*n - 531*n.\nAnswer: -250*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand 37 - 37 - 34*s**2 + 0*s**2 + 2*s**2 + 2*s**2 + (-3*s - 2*s + 4*s)*(0*s - 3*s + 2*s) + 7*s**2 + 37*s - 37*s.\nAnswer: -22*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 314 is divided by 157?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 322 and 859004?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 137 = -4*c, 0 = 4*t + t - 3*c - 634. Is t - 2*(1 - 2) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9084.\nAnswer: 2, 3, 757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 41\/10 + 162\/5. Find the common denominator of 20\/8*44\/(-25) and v.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-20)\/(1 - 10\/6). Suppose -2*o - 3*d + 15 + 2 = 0, 5*o - a = -5*d. Solve -3*y + 26 = -5*j, 0 = 2*y - o - 3 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 27*o**2 - 33*o**2 + 10*o**2 + 20*o**2. Let m(d) = 21*d. Determine m(v(s)).\nAnswer: 504*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yimadicyd. What is prob of sequence yd?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 74 = 85. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 163\/498 - 40\/249. Let a(j) be the first derivative of -l*j**4 - 7\/6*j**2 - 2\/15*j**5 + 8\/9*j**3 + 2\/3*j - 22 + 1\/18*j**6. Factor a(i).\nAnswer: (i - 1)**4*(i + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 215\/1089 + 3\/121. Put b, -0.6, 1 in ascending order.\nAnswer: -0.6, b, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = t**3 - 75*t**2 - 4*t + 301. Determine z(75).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 3*m + 4. Let k(f) = -4*f - 4. Let v(i) = 5*i + 5. Let x(g) = 6*k(g) + 5*v(g). Let y(l) = -4*x(l) + z(l). Let w be y(0). Solve 3*a - 4 + 1 = w for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/9? (a) 0.82 (b) 3 (c) 12\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0147887615 rounded to 3 dps?\nAnswer: -0.015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**10*h**(2\/3))**(5\/9)\/(((h\/(h\/((h\/h**6)\/h)))\/(h*h**7))\/(h\/(h\/(h*h*(h*h**(-1\/3))\/h*h))*h**(-6))) assuming h is positive.\nAnswer: h**(448\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 10*o. Let c(n) = -69*n. What is 4*c(w) + 27*y(w)?\nAnswer: -6*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -5*f**2 - 3*f + 2. Let b(z) = -16*z**2 - 9*z + 5. Let n(x) = 2*b(x) - 7*o(x). Let q be n(5). Suppose d = 77 + q. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 85\/645168 and 77\/322584?\nAnswer: 645168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 220738 to the power of 1\/3, to the nearest integer?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 69*r. Let g(m) = -m + 995. Give s(g(p)).\nAnswer: -69*p + 68655","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tt when two letters picked without replacement from {t: 1, n: 4, g: 2}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 21255 to the power of 1\/2, to the nearest integer?\nAnswer: 146","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 11*s**2 - 15*s - 11. Let v be f(-8). Suppose 3*k + 3*j - 1023 = k, -4*k - j = -2031. Suppose -3*w = v + k. What is w rounded to the nearest 100?\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -2*f + 2. Let j be y(-2). Suppose -5*c + 16 = j. Suppose 4*v - c*m + m - 141 = 0, 0 = v - 4*m - 24. What is the tens digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 1, -1\/1996, -1, -0.5, 2\/9 in descending order.\nAnswer: 1, 2\/9, -1\/1996, -0.5, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-48)\/64 + 10*(-93)\/(-24). Solve 2*i + 43 = 5*q + k, 3*q = 3 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.5 + 0.43. Let z = w + 0.07. Let v be 45\/114 + (2 - 36\/19). What is the fourth smallest value in z, v, -0.01, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4 - 2. Let v be w\/(-5)*(0 + -1). Find a such that v*a**2 - 2\/5*a**3 + 0*a + 0 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -39677, -39675, -39673, -39671, -39669?\nAnswer: -39667","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 l when four letters picked without replacement from {l: 10, z: 10}.\nAnswer: 14\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -d - 1. Suppose -17*l + 8*l - 18 = 0. Give m(l).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -165627\/16 > -10353?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2486929 to the nearest integer?\nAnswer: 1577","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1 - 5\/4*4 - -6. Suppose -4*c + 3*v = -11, -b*v + 3 = -v. Let g(s) = s**2 - 6*s - 7. Let a be g(7). Solve a = -c*w + 10 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2 (b) -24 (c) 2 (d) -4 (e) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12 (base 10) to base 5.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 4\/(((-4)\/6)\/(9\/(-27)))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eee when three letters picked without replacement from {e: 4, p: 2}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 36111\/23 - 1570. Sort 1, -3.5, -4\/7, o.\nAnswer: -3.5, -4\/7, o, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let r be (76\/(-30))\/((-24)\/1120). Let y = r + -118. Which is the second biggest value? (a) -1\/5 (b) y (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) be the first derivative of -5*l**8\/56 + 7*l**4\/6 + 22*l + 17. Let c(o) be the first derivative of d(o). What is the third derivative of c(m) wrt m?\nAnswer: -600*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.062*2.\nAnswer: -0.124","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -39*v**2. Let s(t) = 90*t + 1. Give g(s(o)).\nAnswer: -315900*o**2 - 7020*o - 39","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*v + 7*v + 11 = 19, s = -2*v for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/7 in 2, 0.3, -1\/2, -149\/6?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -5*r + r. Let o be (r - -3)*(1 + -2). Let p be o\/(7\/3 - 2). Which is the smallest value? (a) -4 (b) p (c) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -2*s**2 - 5*s - 45. Calculate p(-5).\nAnswer: -70","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.2 + -0.4. Let b be (-6)\/(-63)*3 - (-5)\/(35\/(-6)). Let s = -0.4 + 0.7. What is the closest to 0 in b, y, s?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 79\/11 - 1\/11*x**3 + 7*x**2 + 157\/11*x.\nAnswer: -(x - 79)*(x + 1)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1344*c**2*o*r**3*z - 72889*c**2*o*r**3 + 4*c**2*o*r**2*z - 3*c**2*o*r**2 - 22248*c**2*o*r - 2*c*o*r**2*z - 2*r wrt r.\nAnswer: -8064*c**2*o*z - 437334*c**2*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k = -2*h - 0*h + 137, -5*k - 193 = -3*h. Suppose -4*c + 20 = 4, 2*s - 5*c - 18 = 0. Calculate the remainder when h is divided by s.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = j**2 - 15*j - 2. Let i be f(15). Let g be (-87)\/58*i\/1. Solve 0 = -4*d + d - g*o, -5*o = 5 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 3, -23 in descending order.\nAnswer: 3, -3, -23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 261 divided by 3\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence axy when three letters picked without replacement from qqufxxafuxuy?\nAnswer: 1\/440","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 10605 and 1515?\nAnswer: 10605","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 415439?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve l = -n + 1, -6*l - 2*n + 2713 = 2711 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:26 AM and 6:09 AM?\nAnswer: 103","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*t**5 + 1063*t**2 + 418*t + 1?\nAnswer: -40*t**3 + 2126","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -6884, -12089, -17294, -22499, -27704?\n\"Answer: -5205*z - 1679","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 385900 divided by -454?\nAnswer: -850","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -67*n**2*v - 116410*n**2 - 18*n*v - 7*v - 25 wrt v?\nAnswer: -67*n**2 - 18*n - 7","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 13*w + 11. Let b(r) = 5*r + 1. Let p(o) = -11*b(o) + 4*z(o). Calculate p(-14).\nAnswer: 75","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -s - 26. Let u be q(0). Let k = -37 + 22. Let y = k - u. What is the greatest common divisor of 1 and y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/(-30)*(-60)\/18.\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 836 and 5225.\nAnswer: 209","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 14554387 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(225)\/(sqrt(20)\/sqrt(4))*6 - ((sqrt(5) + -2 - sqrt(5)) + 1 - (sqrt(60) - (sqrt(240) + sqrt(60)))\/sqrt(12))**2)*-3.\nAnswer: -66*sqrt(5) + 63","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5\/(-75)*-10*-6.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.7001075 days to microseconds.\nAnswer: 60489288000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 55 - 10. Let f = 9 + -4. Suppose -d = f*y - 190. Is 11 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 30645?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + p**2 + 1)*(3*p + 2*p - 6*p + (-1 - 4 + 3)*(2 + 3*p - 2)).\nAnswer: -7*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Determine r so that 5*r**3 + 81422035*r**2 + 162844055*r + 81422025 = 0.\nAnswer: -16284405, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 42026?\nAnswer: 2, 21013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yyy when three letters picked without replacement from yyuuyny.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*h + i - 4*i - 34, 3*h = 4*i - 38. Let p(a) = -6 + 4*a - 5*a - 1. Let q be p(h). Solve q*z = 4*z + 2 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*f - 5*s - 75, -s = f + 3*s - 5. Suppose -5*g - 4*j = j - f, 4*j = -2*g + 14. What is y in -2 - 6*y - g + 3 - 2*y**3 - 6*y**2 = 0?\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ugyurruurrururgrru. Give prob of picking 1 r, 1 y, and 2 g.\nAnswer: 2\/765","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*f + 10*f + 3 = -c, -5*c - f + 4 = 0 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 553519 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2)\/(-2)*(-2 - -21). Let x = 20 - k. What is the units digit of ((-76)\/2)\/(x + -3 + 1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -l**2. Let a(u) = -7*u**2. Let o(d) = -a(d) + 5*f(d). Suppose 0 = -i - 1, 17 = 2*r + i - 22. Let k(j) = -45*j + r*j + 6*j. Calculate k(o(p)).\nAnswer: -38*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - 3*s = 6, -4*z + 3*s + 42 = z. Let k = -9 + z. Does 3 divide k*4*1\/(-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 5, 4\/19245, 5\/3?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10611 = -157*x + 160*x. Suppose 4251 = 12*d - x. What is the units digit of d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4058*b - 86829 - 111509 - 69490 = 0 for b.\nAnswer: -66","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 76705, 613623, 2070975, 4908979, 9587853, 16567815, 26309083?\nAnswer: 39271875","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 2086656 divided by 39\nAnswer: 53504","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide -40938 by -3624.\nAnswer: 6823\/604","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o = -3*k - 24, 0 = -o + 7*k - 3*k + 12 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4*c**2*s + 2*c**2 + 3*c*s - 14425*c - 155*s with respect to s.\nAnswer: 4*c**2 + 3*c - 155","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) be the first derivative of -2*r**7\/105 - r**5\/60 + r**2 + 2. Let u(t) be the second derivative of x(t). Find the third derivative of u(o) wrt o.\nAnswer: -96*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5266211 to the power of 1\/2, to the nearest integer?\nAnswer: 2295","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in one twentieth of a century?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**1*f*(f\/(f**(5\/2)\/f*f))\/f*(((f*f**(-1\/7)*f*f*f*f)\/f)\/f*f)\/(f**(-9\/7)*f*f) assuming f is positive.\nAnswer: f**(37\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 21*j**2 + 6*j - 5. Let t(r) = 21*r**2 + 7*r - 6. What is -7*q(h) + 6*t(h)?\nAnswer: -21*h**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -f**2 + 70*f + 2002. Give u(-22).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44*n + 8149960 = 36*n + 60*n. What is the thousands digit of n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 235830541 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in seventeen sixths of a minute?\nAnswer: 170","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 246 - 238. Let u(v) = v**3 + 2*v**2 - 4*v - 1. Let j be u(-3). Solve -3*b - j*l + y = 0, 2*b - 5*b + 5*l - 20 = 0 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -778 + 861. Calculate the greatest common factor of 581 and m.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -92 + 92.1. Suppose 11 = 5*g - 3*l - 44, 5*g - 95 = -5*l. Let j be ((-34)\/g - -2)\/1. Which is the closest to w? (a) j (b) 1 (c) 2\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -60 - -63. Let p = -0.1 + 0.1. Put w, -1\/10, p in decreasing order.\nAnswer: w, p, -1\/10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 42009103 to the nearest integer?\nAnswer: 6481","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -4*n**2 - 3*n - 8. Let v(l) = -19*l**2 - 15*l - 41. Let x(g) = -11*c(g) + 2*v(g). Let s(u) = -5*u**2 - 3*u - 5. Calculate -7*s(w) - 6*x(w).\nAnswer: -w**2 + 3*w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 714488 divided by -4\nAnswer: -178622","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 131\/54 and 83\/6?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 256037?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -55\/5440076 and -41\/48630?\nAnswer: 81601140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in fourty-seven quarters of a millisecond?\nAnswer: 11750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (17 + 5678\/(-306))*(-1)\/7. Factor -4\/9 + s*m**3 - 2\/3*m + 0*m**2.\nAnswer: 2*(m - 2)*(m + 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 427 * 0.1509.\nAnswer: 64.4343","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 28132435 to the nearest integer?\nAnswer: 304","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2\/7027 + 7037\/35135. Sort -0.5, 5, -0.1, c, -28 in increasing order.\nAnswer: -28, -0.5, -0.1, c, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 6, a: 13}. What is prob of picking 3 a?\nAnswer: 286\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2041.16 + 2041.26. Let u = 1.96 + 0.04. Which is the closest to w? (a) -1\/8 (b) 0.08 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1870471 and 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 8*b = 96. Solve -4*u = 4*r + 4, b = -4*r + u + u for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) be the second derivative of -r**6\/10 - 3*r**5 - 59*r**4\/2 - 90*r**3 - 243*r**2\/2 - 111*r. Factor o(y).\nAnswer: -3*(y + 1)**2*(y + 9)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/25 of a litre in millilitres?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-16)\/(-12))\/(16\/12). Let r(z) = z + 7. Let y(i) = 1. Suppose 4*x - 2*j = 54, 3*x + 4*j + 30 = 5*x. Let c = -19 + x. Give c*y(v) + k*r(v).\nAnswer: v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ziiiiiziiziiizizizi. Give prob of sequence ziii.\nAnswer: 143\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 10*n - 123. Let m be v(12). Let w(l) = -4 + l + l**3 + l**2 + l**2 + 2*l + 3*l**2. Calculate w(m).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -14784009 rounded to the nearest one hundred thousand?\nAnswer: -14800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -555.068 - 415186.932. Let i = p - -415450.0307. Let f = -292 - i. What is f rounded to 3 decimal places?\nAnswer: -0.031","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -73*k + 61. Does 47 divide y(-6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2566635*3\nAnswer: -7699905","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h - 4*k + 2 = 2*h, -h = 3*k. Suppose 0 = h*d, 0 = -q + 2*d + 27 - 6. Is 19 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*s - 16 = 0, 0*g + 4*g + 24 = 3*s for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + sqrt(396) + -1 + sqrt(44)\/(sqrt(4)*-3)*-6.\nAnswer: -6 + 8*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = r**3 - 3*r**2 - 12*r + 39. Let y be s(3). Suppose 4*n = y*w + 1008, -2*w = -0*w. 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 second derivative of h**3*p**2*y**2 - 3*h**3*p*y**2 + 25*h**3*y**2 + 8*h**2*p + 480*p**2*y**2 - 16*p**2 - 2*p*y**2 wrt p?\nAnswer: 2*h**3*y**2 + 960*y**2 - 32","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 2*f**2 - 3*f. Let z(x) = -x**2 + 3*x. Determine -3*c(h) - 2*z(h).\nAnswer: -4*h**2 + 3*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 6\/(-48) + (-435)\/(-24). Let l(d) = d**2 - 17*d - 14. Let u be l(k). Suppose 5*r - 36 = 4. What is the greatest common divisor of r and u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 291536809?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 37 = 9. Calculate the remainder when b is divided by 16.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 186 = -4*j + j. Let g = 67 + j. What is the remainder when 8 is divided by g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) be the first derivative of l**4\/4 + 5*l**3\/3 - 5*l**2\/2 - 5*l - 2. Let r be a(-5). Suppose 0 = -u + r - 19. Solve -3*p + u = -5 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36*m - 443 - 385 = 0 for m.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -11, -32, -83, -176, -323, -536, -827?\nAnswer: -1208","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -7010, -7010, -7002, -6980, -6938, -6870, -6770?\n\"Answer: u**3 - 2*u**2 - u - 7008","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Total of -6197.34033 and -97.\nAnswer: -6294.34033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express -51 + 6*o**2 + 50 + o**4 + 2*o**4 in the form v*o**3 + a*o**2 + i + q*o + b*o**4 and give i.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 37*c**2. Let k(j) = 5*j**2 + 6*j**2 - 5*j**2. Calculate f(k(r)).\nAnswer: 1332*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 90 is divided by (2 - (0 - -1))*161\/7.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2\/17, 52, -0.1, -24606?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 154*z**4 - 5*z**3 - 17*z**2 - z + 8. Let i(a) = a**4 - a**3 + a**2 + 1. Let r(d) = 8*i(d) - q(d). What is the third derivative of r(t) wrt t?\nAnswer: -3504*t - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) be the first derivative of -f**3\/3 + 3*f**2\/2 - 4*f + 1. Let r(i) = i**2 + i - 3. Let n be r(-3). Suppose -n*d = -0 - 9. Determine s(d).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 7975749?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2938 is divided by 486?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -2\/2155, -1, 3, 0.02?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -37*r + 55. Let u(y) = -643*y + 933. Let l(k) = 35*q(k) - 2*u(k). Let c(z) = -z**2. Determine l(c(h)).\nAnswer: 9*h**2 + 59","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (132 - 18 + 21)*(-7*s + 4*s + 5*s).\nAnswer: 270*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 1, l: 3, n: 13}. Give prob of picking 2 l.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 472 minutes after 6:12 PM?\nAnswer: 2:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 503 minutes after 1:39 AM?\nAnswer: 10:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = c**2 - 6*c + 9. Let l be w(3). Solve -4*y - 4 = -a, y + 5*a + 11 + 11 = l for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a microgram in nanograms?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by 336\nAnswer: 1\/112","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -189\/11 (b) 2 (c) -2\/5 (d) 35\/4 (e) -0.13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 7\/1*540\/189. Let s(c) = -c**2 + 18*c + 43. Let m be s(f). Solve -z + m = -1 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (-5 + (sqrt(425) + -3*(sqrt(425) - (-2 + sqrt(425) + sqrt(425))))*-2 + 1 + sqrt(425)*-1 + -3)**2.\nAnswer: -450*sqrt(17) + 34454","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 5*b + 5*v, -18 = -5*b - 2*v - 4. Solve 3*g - 4 = -2*u, -4*g + 5*u - 8 = b for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-7)*t**(-4)*t**(4\/3)*t\/t**1)\/((t*t**(-2\/5))**(1\/6)\/(t**(-1)\/(t**(-1\/6)*t))) assuming t is positive.\nAnswer: t**(-58\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pedwv. Give prob of sequence dp.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 10) to base 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xgx when three letters picked without replacement from xggx?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lmmt when four letters picked without replacement from tmtmlmtmtmtttmtlmm.\nAnswer: 28\/2295","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(19) - -4*sqrt(57)\/sqrt(3)) + ((0 + sqrt(931))**2 - (sqrt(19)*1 + 0)**2))*-2.\nAnswer: -1824 - 30*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 81*b. Let f(m) = -2*m**2. Calculate w(f(y)).\nAnswer: -162*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -47, -1\/4, 123, 2 in decreasing order.\nAnswer: 123, 2, 0, -1\/4, -47","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -0.3+14278064\nAnswer: 14278063.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -67 - -77 - (-18 + 1) - 10?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 9*u - 6. Suppose -2*h = -0*h - 4, 2*h = 4*l - 16. What is the units digit of c(l)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-6 - (-2)\/(-3))*90\/(-75) + (3 - 48)\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.09*18.\nAnswer: 1.62","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 133*i*m**3 + 2*i*m**2 - 3*i*m + 3*m**2 wrt m.\nAnswer: 798*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = c**2 - 2*c + 2. Let m(x) = 12*x**2 - 7*x - 20. Determine m(l) - 4*p(l).\nAnswer: 8*l**2 + l - 28","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -25*a + 1718 + 307. Suppose -2*d + 5*s + 10 - 4 = 0, -5*d - 39 = s. Let h = a - d. What is the greatest common factor of h and 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 207826?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 16 and 27186728.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.82 (b) -3 (c) 0.013\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 2100100 (base 3) to base 10\nAnswer: 1710","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(50)*-2 + 2)**2 + (-4*(sqrt(72) + 3*sqrt(72)))**2)*4.\nAnswer: -160*sqrt(2) + 74544","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 29 (b) -3 (c) 0 (d) -1\/4 (e) -1\/28\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4848.705 millilitres to litres.\nAnswer: 4.848705","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-102)\/3*16\/32?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4312202359.\nAnswer: 3727, 1157017","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -84369763 - 6.64986?\nAnswer: -84369769.64986","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9\/3 + 1 + -4 + -2.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 2, v: 8, l: 3, t: 4}. What is prob of sequence dd?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 2*f**2 + 3*f + 3 - f**2 + 3. Let u = 5 + -3. Calculate the lowest common multiple of a(-4) and u.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*w + i + 12, 0*w + 5*i - 24 = -w. Suppose -222000 = -p + w*p. Round p to the nearest 10000.\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 11 = 9. Suppose -v*o = 5*m - 145, -3*m + 4*o - 112 = -7*m. List the prime factors of m.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h = -3*h - 9. Let s be -3 + (-3 - (h + 2)). Let a(q) = -q**2 - 3*q + 1. What is a(s)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -7831238*c*s + 252*c - 2943 wrt s?\nAnswer: -7831238*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -237, 80, 0.7, -0.1, -4 in decreasing order.\nAnswer: 80, 0.7, -0.1, -4, -237","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 285805 to the power of 1\/3, to the nearest integer?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-14)\/672*-42*4\/14. Let m(p) be the second derivative of -o*p**5 + 0*p**2 + 13*p + 5\/6*p**3 + 0 + 0*p**4. Let m(q) = 0. What is q?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17682 is divided by 221?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*h**2 + 69190*h - 138400.\nAnswer: 5*(h - 2)*(h + 13840)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-3)\/(-7) - (-80946)\/(-99792) and -49\/12.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(1\/5)\/(q**40*q) assuming q is positive.\nAnswer: q**(-204\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 310 minutes after 5:22 PM?\nAnswer: 10:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -7024138 and 9897?\nAnswer: 7034035","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*b + 3*b + 3*b)*(6*b - b - 3*b) + b**2 - 2*b**2 - b**2 - 2*b**2 + 4*b**2 - b**2.\nAnswer: 7*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -z**3 + 14*z**2 + 16*z - 19. Let t be h(15). What is the nearest to 0.3 in t, 4, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve w + 4*w - 4*q + 9 = 0, -4*q = 2*w - 2 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 267959 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -u**3 - 12*u**2 + 13*u + 9. Let h be w(-13). Suppose -h*p - 423 = -63. Is 2\/((1\/1198)\/(p\/(-32))) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -40, 1\/5, -4?\nAnswer: -40","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Determine i so that -3*i**4 + 363*i**3 - 360*i**2 = 0.\nAnswer: 0, 1, 120","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) be the third derivative of -s**6\/40 - s**5\/12 - s**4\/12 - s**3\/6 + 40*s**2. Let v(j) = -j. Let p(g) = -f(g) + 6*v(g). Is p(4) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:07 PM and 8:49 PM?\nAnswer: 462","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 25100010*w**4 + 7742626*w.\nAnswer: 301200120*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*sqrt(162) + (-1 + sqrt(450))**2 - (1 + sqrt(288) + 2*(2 + sqrt(288)))**2.\nAnswer: -2166 - 381*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2295)\/(-612))\/(6\/2)?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 6 in -1\/3, -6, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2673.732 rounded to 0 decimal places?\nAnswer: 2674","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*i - 8 = -9*i for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 33 + -114. Let z = 85 + w. Solve -20 = -4*m, 0*m = -z*j + 4*m for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 5*z**3 - 71*z**2 - 88*z + 453. Calculate k(15).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 0 + 0)*(42 + 15*q**3 - 2*q**4 - 42).\nAnswer: 4*q**4 - 30*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 20122 (base 4) to base 16.\nAnswer: 21a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.829 in -4, 0, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-8)\/70)\/(16\/(-80))?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 19680, 39358, 59036?\nAnswer: 78714","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*c + 270 = -3*d + 235, 6*d + 25 = -c for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2145, -1, -1\/17, 2?\nAnswer: -2145","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - -1 - (18 + 0)) + (578 - 573).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 14*f + 2 + f**2 + 15 + 0. Let t = -336 + 323. Let g be y(t). Solve -12 + g = -2*a for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 743*w - 180*w = -622*w + 139830 for w.\nAnswer: 118","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 15*t - 5. Let z(q) = 5*q - 2. Suppose 6015 - 6246 = -21*f - 0*f. Give f*z(l) - 4*w(l).\nAnswer: -5*l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4020 - 7449 = -1017*p - 1299 for p.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -40*r - 2. Let b be z(-3). Let q = 78 - b. Find the common denominator of 77\/16 and (-140)\/(-16)*5\/q*-1.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t, 1 z, and 1 f when three letters picked without replacement from {z: 1, f: 1, s: 2, m: 3, k: 3, t: 1}.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-28405564)\/55*(-10)\/4. Suppose t = 5*b - 5646908. Suppose -4*x - 1439998 = 2*k, 4*x + b = -k - 52385. Round x to the nearest 100000.\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6 + 2*d**2 - 10 + 6 + d**2 to j*d**2 + p*d + m and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 91 - 45*z**2 - 3*z**3 + 0*z**3 - 91 = 0 for z.\nAnswer: -15, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1704419.6 rounded to the nearest one hundred thousand?\nAnswer: -1700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 14141, 14305, 14471, 14639?\n\"Answer: x**2 + 161*x + 13979","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 4*m - 8*m - 5*m**2 + 24 + 23*m. Let w = -783 + 789. Let a(b) = 10*b**2 - 37*b - 47. Let s(l) = w*a(l) + 13*j(l). Let s(x) = 0. Calculate x.\nAnswer: -1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of f*r - 132*f*u**2 + 2*f*u - 4*r*u**2 - 15*r - 2*u wrt u.\nAnswer: -264*f - 8*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 + -9 + 2 + 5 + 32 + -13.\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -11.96 - 0.04. Let d = f - -11. Let k be -3*6\/9*18\/4. Sort d, k, -3.\nAnswer: k, -3, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 190 is divided by 16?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -13571.000014919 - -13571. Round u to 6 dps.\nAnswer: -0.000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 203031815 or 203031816?\nAnswer: 203031816","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 3024\/47 >= -12?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 71908?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 82795014557 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 80483959 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 57936366 and 1011?\nAnswer: 1011","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-184*k**2 + 103*k**2 - 147*k**2)*((-1 + 0 + 2)*(k - 2*k + 3*k) + 4*k - 5*k + 0*k + k + k - k + 0 - 7*k + 0).\nAnswer: 1140*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 2043, 3668, 5293?\n\"Answer: 1625*z + 418","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.143857 micrograms to tonnes.\nAnswer: 0.000000000001143857","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-6 + 2 + 2)*(-x**2 - 3*x**2 + x**2) + x**2 - 1 + 1 to a + c*x + r*x**2 and give r.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 705*w + 64 = 721*w for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is ab (base 16) in base 4?\nAnswer: 2223","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: ((4\/5)\/1)\/((-9334)\/1795)\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 641 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -737 - -1?\nAnswer: -736","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t**5 + 12741*t**4 + 12407520*t**3 - 2380546044*t**2 + 100919395584*t + 324517072896 = 0. Calculate t.\nAnswer: -2208, -3, 86","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 409*r + 69 = 439*r + 9 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - r = 5*f + 7, 0 = 3*r - 4*f. Let l(j) = -290*j + 27 - 2 + 147*j + 149*j. Calculate l(r).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2 + 4 + sqrt(1539) + 2*(-2 + sqrt(1539) - sqrt(1539)) + 6*-4*(sqrt(1539)*2 - sqrt(1539) - sqrt(1539)))*6)**2.\nAnswer: -1296*sqrt(19) + 55548","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = 10*a + 3. What is the nearest to -0.1 in -5, -2\/3, a?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -19*o**2. Let a be y(1). What is the units digit of 2 + (2 - 1) - a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of n**3 + 9*n**2 + 3*n**3 - 3*n**2 wrt n.\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -2*b**3 - 26*b**2 - b + 78. List the prime factors of h(-20).\nAnswer: 2, 7, 11, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 266904042?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 3, r: 1, u: 3}. What is prob of sequence uufu?\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-3\/8)\/q)\/q**(-3)*(q**(1\/2)\/q)**(-46) assuming q is positive.\nAnswer: q**(197\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 942\/301, 5, 0.2?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1\/30620, 1\/2, 2\/111?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 13.03 + -2.1\nAnswer: 10.93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide -9 by -36.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5105280, 10210559, 15315838?\nAnswer: 20421117","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/35, 1\/5, -10 in descending order.\nAnswer: 1\/5, -2\/35, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dh when two letters picked without replacement from dexdidhdheddhdndindd?\nAnswer: 3\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 827841?\nAnswer: 3, 7, 79, 499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1171 = -2*g - 3*g + 4*v, 2*g + 4*v = 446. What is the greatest common divisor of g and 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 49 + -64 + 11 + (-3 - 0)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1652346754?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 10753 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-4)\/(-8))\/(2\/8). Suppose r*c + 81 = -c. What are the prime factors of 6\/27 + (-264)\/c?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*h - 3*h**2 + 0*h + (-1 - 5 + 5)*(3*h**2 - 4*h**2 + 3*h**2) - 2*h**2 + 3*h**2 + 0*h**2)*(66*h + 495*h + 27*h)*(0 + 2 + 4).\nAnswer: -14112*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 4*f - 12. Let c be v(5). What is the greatest common factor of 4 and c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-4\/3)*y**5\/y)**(12\/11)*((y*y\/y**(-4))\/(y\/((y**11\/y)\/y)))**46 assuming y is positive.\nAnswer: y**(7116\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -3257*u + 8741. Is k(-40) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -10\/11, 1, 36, 111, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -43, -41, -47, -67, -107, -173?\nAnswer: -271","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t = 8, 2*g - t + 6*t - 34 = 0. Suppose 5*s + 22 - g = 0, 2*s + 74 = 4*a. List the prime factors of a.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 1201303, 1201106, 1200911, 1200718, 1200527?\n\"Answer: g**2 - 200*g + 1201502","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 1 o when two letters picked without replacement from {e: 12, o: 3}?\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 85624529 and 1?\nAnswer: 85624529","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 11 = x + 8, 3*x = -5*u - 2. Let q = x - -11. Suppose s = -2*g - 1, -q*s = -5*g - 31 + 6. Solve 2*t = -10, -13 = -s*h + 4*t + 27 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r + i - 14 = 0, 0 = r - i + 6 - 16. Let l be -3*(r - 1)\/(-5). Let k be (-1)\/((-7)\/(-56)) + 0 + 3. Which is the smallest value? (a) k (b) l (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (9672\/741 - 13)\/(238\/(-28))?\nAnswer: -2\/323","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37*r - 26 - 3 = 8. Sort -4, -5, r, 4, -1626.\nAnswer: -1626, -5, -4, r, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**3)**(-1\/53))**40 assuming m is positive.\nAnswer: m**(-120\/53)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-358221)\/(-59088))\/(2\/32)?\nAnswer: 97","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-6)\/(-63)*154\/(-66). What is the third biggest value in q, 0.4, 7, 8?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 95323 and -0.78.\nAnswer: -74351.94","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 495077 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -262 (b) 3 (c) -22 (d) 2 (e) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.4 and 135.1588235695?\nAnswer: 135.5588235695","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -1.8 - 123815.778\nAnswer: -123817.578","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) be the first derivative of 5*d**2\/2 + d + 4285. Let c(a) = 7*a. Determine c(x(v)).\nAnswer: 35*v + 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 119132 and 75998?\nAnswer: 2054","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 3*h**2 - 1203*h - 7277. What is p(-6)?\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 411 minutes after 6:59 AM?\nAnswer: 1:50 PM","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Factor s**2\/8 - 13567*s\/8.\nAnswer: s*(s - 13567)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1905736191?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 672705 to the nearest integer?\nAnswer: 820","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = i**2 - 3*i. Let t be y(4). Let o(w) = -2*w - 5. Let s(k) be the second derivative of 3*k**2 + 1\/2*k**3 + 0 - 8*k. Determine t*o(f) + 3*s(f).\nAnswer: f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4574, -4602, -4662, -4754?\nAnswer: -4878","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (-7*d**3 + 3*d**3 + 2*d**3)*(-25 - 25 + 39) + 0*d**3 - 2*d**3 + 4*d**3 in the form i*d**3 + y*d + n*d**2 + w and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -20361 (b) -2.9 (c) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -14*x**3 - 17*x**2 - 17. Let j(t) be the first derivative of 5*t**4\/4 + 2*t**3 + 6*t + 6. Give 6*h(n) + 17*j(n).\nAnswer: n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i + 2*l = -7*i - 12, -3*i - 22 = 5*l for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (1*10)\/(-2) + -512 + 3. Let h = b + 554. Let g be 8\/10*(3 + 7). What is the greatest common factor of h and g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 168 - 103. Let u = 8 + 5. Suppose 3*h = 2*h + u. Calculate the greatest common factor of h and l.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 359713.2 millilitres to litres.\nAnswer: 359.7132","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -f**2 - 10*f. Suppose -m - 24 = 3*m. Is z(m) a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -293a (base 15) to base 5.\nAnswer: -240310","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mb when two letters picked without replacement from {m: 1, z: 1, r: 1, l: 1, b: 1}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 52522 is divided by 343.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 33 a factor of 55968?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 5183 and 36865.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-10)\/((-1)\/((-1)\/(-2))). Let s = 7 - j. Let w(n) = 6*n**s + 3*n - 8 - n + 2*n**2. Let p(g) = 7*g**2 + 2*g - 7. Determine -7*p(k) + 6*w(k).\nAnswer: -k**2 - 2*k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 27282079 is divided by 32.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1724 - 1732.992. Let o = -0.008 + d. What is the biggest value in 2, o, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-6*c**2 - 8*c**2 - 3*c**2)*(10*c + 81 - 81) + 3*c - 2*c**3 - 2 - 3*c to a*c**3 + d*c**2 + r + m*c and give r.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -823 - -274. Let s = -549.05 - n. Which is the second smallest value? (a) s (b) -3 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*l + 0*l + 4*l)*(3*l - 4*l + 4*l).\nAnswer: 12*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 806893 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 97\/6 and (1 + 57\/(-54))\/((-4)\/177).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 5*w**2 - 12*w + 15. Let y be m(6). Suppose -387 = -4*z - y. Is z a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r*r*r**(-1\/4)*r*r*r**(34\/5)*r)\/(r**(3\/11)\/(r\/r**(-3\/7)*r)) assuming r is positive.\nAnswer: r**(22647\/1540)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1037.191 + 1037. Is v at most 0.4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -380 divided by -1?\nAnswer: 380","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) be the third derivative of u**5\/60 + 3*u**4\/8 - 25*u**3\/6 - 2*u**2 + 6. List the prime factors of x(8).\nAnswer: 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.9910313 times 1\nAnswer: -0.9910313","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -862, -878, -894, -910?\nAnswer: -926","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = 2*a - 198, -w = -3*a + 3*w + 286. What is the greatest common divisor of 1666 and a?\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 12 + 1 + 2 - 1. Let m = -10 + v. Let b = m - 4. Solve b - 4 = -a + 4*i, -3*i = -2*a + 8 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*j**2 + 16281639*j - 16281639*j.\nAnswer: 2*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = h**3 + 376*h**2 + 2985*h + 15046. Calculate d(-368).\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -13*k + 171. What are the prime factors of v(10)?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -11*t + 254. Let k be r(16). Suppose 9*i - k = -17*i. Solve 0 = i*s - 2 + 8 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (28\/672)\/((-2)\/(-6))?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/5, 0.09, -61, 1 in ascending order.\nAnswer: -61, 0.09, 2\/5, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -6 * 1093.83\nAnswer: -6562.98","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -h**2 + 6*h. Let o(b) = -9*b - 4. Let g(c) = -100*c - 45. Suppose 2*l = -l + 12. Let z(n) = l*g(n) - 45*o(n). Determine z(x(y)).\nAnswer: -5*y**2 + 30*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -134*a**3 - 4*a - 13*a + 128*a**3 wrt a?\nAnswer: -36*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 67*b = 7*b + 2*x + 232, -79*b + 5*x - 4 = -75*b for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) be the third derivative of 7*a**5\/60 + a**4\/3 - 15*a**2 + 19. Suppose 4 = 4*b - 4. Let l(f) = -f**b - f + 8 - 8. Calculate -24*l(z) - 3*y(z).\nAnswer: 3*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -28 - (4 - 4 - -3). Let h = 44 + a. Does 7 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 293 minutes after 8:30 AM?\nAnswer: 1:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 213131 (base 8) in base 11?\nAnswer: 4959a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2\/(6\/13)*66\/22. Solve 11*q = h*q + 10 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1815 and 152520?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = q**3 - 5*q**2 + q + 3. Let g be x(5). Let f = -6 + g. Suppose 0 = -f*n - 2*n + 56. What is the tens digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 - 3949*k + 3949*k - 683*k**3.\nAnswer: -683*k**3 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2338 + -2344. What is the smallest value in d, 0.1, -2\/7, 2?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*q + 2*q - q)*(-3*q + 3*q - 2*q**2) + q + 942883*q**2 + 58*q**3 - 942883*q**2 as a*q + z + l*q**2 + d*q**3 and give a.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.05 - 5.05. Let s = h + 4.95. Let t = s - -0.05. Which is the nearest to -1? (a) -1 (b) t (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 97\/8320 and -37\/2354560.\nAnswer: 2354560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 50*g - 2*i = 47*g + 9, 0 = -g - i + 3 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - 2 = -h + 7, 5*o = 5*h - 30. Let p be 5\/(4\/(12\/h)). Solve 2 = -p*z - 4*w - 0, -3*z = -4*w + 14 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -34, 5, 2362, -5.\nAnswer: -34, -5, 5, 2362","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 2035036, 2035038, 2035040, 2035042, 2035044, 2035046?\n\"Answer: 2*j + 2035034","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 97\/12915840 and 179\/307272?\nAnswer: 762034560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:20 AM and 4:57 AM?\nAnswer: 97","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -15303, -123390, -416771, -988092, -1929999?\nAnswer: -3335138","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12256 is divided by 4427.\nAnswer: 3402","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + (-6)\/(-4) - (-295)\/(-118)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.05 + -0.77. Let y = -0.18 + 0. Let c = y + r. Which is bigger: -3.1 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = n**2 + 5343*n - 1785*n - 1778*n - 1780*n. Let a(h) = -7*h**2 - 8*h + 8*h. What is r(a(z))?\nAnswer: 49*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/1738, 0.5, 2616\/11 in descending order.\nAnswer: 2616\/11, 0.5, -1\/1738","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 1073 = -8*m - 4*k, 0 = 4*k + 8. Let b = -214 - m. Put b, -42, -4 in descending order.\nAnswer: b, -4, -42","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 8 and 3296.\nAnswer: 3296","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 6483 - 6486. Let a(g) = -g**2 + g - 1. Let b(o) = -o**2. Let m(t) = -6*t**2. Let h(r) = -11*b(r) + 2*m(r). Let u(w) = -3*a(w) + 4*h(w). Give u(z).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = y + 8. Let o be q(-4). Suppose 0 = -3*l + 21*l - 360. Calculate the highest common divisor of o and l.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -13261 + 19222. Is d a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -b - 2727 + 2727.\nAnswer: -b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -20913991 divided by 2987713\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 547227 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: Does 4 divide 2405545?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -l**3 + 579*l - 5222. Give t(12).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -3.998 or 123?\nAnswer: 123","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 9*(435\/72 - 6)\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 11871296 and 64?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2133231 - -1221?\nAnswer: 2201112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 385.92861 to the nearest ten.\nAnswer: 390","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (15 - 4 - 3 - 9) + -1\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 2*t**2 - t + 1. Let m(f) = -7*f**2 - 3*f - 9. Let g(x) = -m(x) - 4*n(x). Let w be (0 + 1)*0 + 7. What is g(w)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1046 in -2, -4\/5, -1, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -32*q. Let t(d) = 513*d. Let y(l) = -81*h(l) - 5*t(l). Let r(j) = -2*j. Calculate y(r(g)).\nAnswer: -54*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 103*x**2 - 8*x + 4. Is v(2) a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 118, 121, 126, 133, 142, 153, 166?\nAnswer: 181","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 285 + -290.02. Let d = q - -0.02. Let s be (-2)\/(-4) + 5 + -4. Which is the nearest to 0? (a) 0 (b) s (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 10) to base 6.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.33 + -0.13. Let m = 24.7 + -24.7. Which is the nearest to o? (a) -5 (b) -3 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 26*h**2 + 14*h. Let m be (24\/9)\/(-8)*-24. Let k(t) = -6*t - m*t - 9*t**2 + 9*t. Suppose -4*o = 19 + 37. What is o*k(j) - 5*l(j)?\nAnswer: -4*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 6512 and 105776?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 2*d**2 - 59. Let s(t) = -8*t + 147. Give i(s(p)).\nAnswer: 128*p**2 - 4704*p + 43159","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 24257 is divided by 29.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.405341m in micrometers?\nAnswer: 8405341","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 260 a factor of 491140?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 0.4862192 meters?\nAnswer: 486.2192","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p, 2 i, and 1 s when four letters picked without replacement from {r: 3, s: 3, i: 2, p: 4, n: 2, y: 1}?\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 4*n - 8*n + 5*g, 2*g = -n + 8. What is the nearest to 2\/5 in n, 2, -3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 103360 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -3*h - 10. Let i be w(5). Let x = i - -21. Which is greater: -5 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2217565.\nAnswer: 5, 7, 17, 3727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 122927 at most as big as -1222?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 587?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 1 u when two letters picked without replacement from {b: 1, h: 3, v: 6, u: 7}?\nAnswer: 21\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -7 in 33, 8, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 102 and 332656?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 3483 a factor of 352764481?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*n - 4 = -2*d, 2*n + 3*n - d + 2 = 0 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 1398*d + 11350. Let a be w(-8). Let j(z) = 83*z. Let q(c) = -4565*c. Determine a*j(o) + 3*q(o).\nAnswer: 83*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**4*i*i)**(1\/23))**3 assuming i is positive.\nAnswer: i**(18\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*m - 2*m + m)*(-3 - 2 + 2) + (-3*m + 4*m - 2*m)*(0 + 3 - 4) + 4*m - 3*m - 3*m in the form b*m + j and give b.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kook when four letters picked without replacement from zzokkoqzz.\nAnswer: 1\/756","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z*z\/(z*z**(-4\/5))*z)\/(z\/(z\/(z*z**16))))\/(z\/z**1)**26)**15 assuming z is positive.\nAnswer: z**(-213)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.3 and 0.412879.\nAnswer: 0.1238637","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from diqiddidddddcciiid. What is prob of sequence id?\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -26 - -27. Let s(v) = v**2 + v - 1. Let a(h) = 2*h - 4*h + 5 - h**2 - 4*h**2. Determine c*a(f) + 3*s(f).\nAnswer: -2*f**2 + f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 88 minutes after 9:37 AM?\nAnswer: 11:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.381174 and 288?\nAnswer: 288.381174","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 9 divided by 58555704\nAnswer: 3\/19518568","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 169503151 is divided by 91.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 526*r + 797. Does 23 divide k(5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28*m - 34 + 109 = -31*m + 5*h, m + 0*m + 3*h = 31 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -85836 divided by 6\nAnswer: -14306","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by 112.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 4 - 7 - 6 - 4 + k. Suppose 4*t + 7*j = 2*j + 51, 0 = -5*t + 5*j + 75. Let v be p(t). Solve 0 = -2*d + 3 - v for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -n + 0*n**3 - 7274745*n**2 + 7274745*n**2 + n + 2*n**3.\nAnswer: 2*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 74aa9 - -3c?\nAnswer: 74ae5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.02, 0.03, 1\/2, -2\/9, -120.\nAnswer: -120, -2\/9, -0.02, 0.03, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -i**3 + 2*i**2 + 2*i - 1. Let q be w(2). Let x(g) = 2 + g - q + 14*g. Is x(1) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -16 - -107?\nAnswer: d1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 840\/165 + -3 - 2\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -39 in 1, -1.3, -55\/6?\nAnswer: -55\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 229, 288, 337, 370, 381, 364, 313, 222?\n\"Answer: -g**3 + g**2 + 63*g + 166","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3919727025.\nAnswer: 3, 5, 139, 41777","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:02 PM and 3:37 PM?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l when two letters picked without replacement from {t: 3, b: 2, l: 9, q: 2, i: 1}.\nAnswer: 9\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -4, 12, -371, -0.3, -5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -23922 + 23919. What is the closest to 2\/19 in y, -6, 1\/2, 3\/8?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 8 + -687?\nAnswer: -67f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*s**4 - 3*s**3 - s**4 + 5*s**3 + 2*s**2 - 3*s - 3*s**3 to h*s**2 + c + j*s + b*s**3 + q*s**4 and give b.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-48)\/80)\/((-39)\/(-650)).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 203595372?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1141?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 7*v**4 + 4 + (-v**2 + v**2 + v**3)*(-7*v + 2*v + 3*v))*(-4*v - 2*v + 2*v).\nAnswer: -20*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 266.8*0.06\nAnswer: 16.008","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -1 - -7 - 4 - -4912. Suppose 3*j - 3662 = 2*g, -3*j - 1251 + w = -3*g. Is 22 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - 12 = 3*x - 3*f, 0 = 2*x - f + 4. Suppose -v + 3*v - 4 = x. Solve 0 = -4*z + v*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine l, given that -3*l**5 + 87*l**4 - 480*l**3 - 2304*l**2 = 0.\nAnswer: -3, 0, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 110286?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 5, -2, -5, 2, 25, 70, 143, 250?\n\"Answer: p**3 - 4*p**2 - 2*p + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 468 divide 2086119880?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -2*o - 3*o + 4*o - o**2 - o**3. Suppose 3 = l + 2*z, 4*l + 3*z + 3 - 10 = 0. Let v(i) = -i**3 + 3*i**2. What is l*v(b) + a(b)?\nAnswer: -2*b**3 + 2*b**2 - b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*i**3\/2 - 171*i**2\/2 + 243*i.\nAnswer: 3*i*(i - 54)*(i - 3)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 313 minutes after 9:59 AM?\nAnswer: 3:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -396*x**2 + 12280*x + 79. Determine j(31).\nAnswer: 203","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.149 and -3?\nAnswer: 0.447","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 1 w when two letters picked without replacement from {w: 1, q: 1, h: 1, z: 1, b: 3}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 72*l - 87*l + 5325. Let h = -281 + l. Is 12 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o + 2*z + 2*z = 0, -2*o = 5*z for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 10*r**2 + 5*r. Let o = -24168 + 24167. Let v(a) = a**2 - a. Give o*w(i) - 5*v(i).\nAnswer: -15*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -84781, 1\/52, -1\/6.\nAnswer: -84781, -1\/6, 1\/52","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 69 = -15. Calculate the remainder when j is divided by 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -y**3 - 6*y**2 + 11*y + 10. Let q be -2 + (-32)\/(-4) - 4. Let n be ((-10)\/(-4) - q)\/(2\/(-28)). Give f(n).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*l**2 + 14*l**4 - 15*l**4 + 807 - 998 in the form s*l**3 + h*l**2 + t*l**4 + k*l + y and give y.\nAnswer: -191","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(204) - -1*sqrt(204)) + sqrt(204))*3)\/sqrt(12).\nAnswer: 9*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3384 and 1269.\nAnswer: 10152","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 11069.7384 to 0 dps.\nAnswer: 11070","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*s - 2*s**2 + 2*s**3 + s**3 + s**4 - 5*s**3 - 3*s**4 to m*s**2 + j*s**3 + f*s + t*s**4 + q and give f.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 122 divide 2213326?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -11 at least as big as -0.0018?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 6543323 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -m**2 - 10*m - 19. Let y(j) = -2*j**2 - j + 12. Let o be y(6). Let g = o + 59. What is the least common multiple of v(g) and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 25 = -15. Suppose r*z - 5*v + 1 = 0, -8 = z - 6*v + v. Solve z - 10 = 3*g for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1609008*m**3 - 4463186*m**2 wrt m?\nAnswer: 9654048","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kkpikpakiaikkpaxxp. Give prob of picking 3 k and 1 p.\nAnswer: 4\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/(w\/(w**3\/w*w))*w**(-13\/3))**39 assuming w is positive.\nAnswer: w**(-52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 + (6 - 10) - (-2 + -1).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 198464064?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eee. Give prob of picking 3 e.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 204015169 to the nearest integer?\nAnswer: 589","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*k + 18 = -m, -86*m - 4*k = -90*m - 8 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:34 AM and 2:02 PM?\nAnswer: 688","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 328988 is divided by 596.\nAnswer: 592","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 2783 divide 48468728?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -62*t + 69*t = 1820. What is the greatest common divisor of t and 65?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 11 - 7. Let y(k) = k**2 + 10*k - 19. Let w be y(-13). Suppose w = q*p - 2*p. What is the tens digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = 5*i - 11249498, -24*i - 6749712 = -27*i + 5*c. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 232 - 229. Let p(y) be the second derivative of 0 + y + 0*y**5 + 0*y**4 - y**2 + 1\/15*y**6 + 0*y**n. Differentiate p(f) with respect to f.\nAnswer: 8*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*p - 22 - 5. Suppose -r - 3*r + p*j = -491, 0 = 4*r + 4*j - 456. List the prime factors of r.\nAnswer: 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 0.4 (b) 0.3 (c) -4 (d) -1\/6 (e) -2669\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Determine d, given that -5*d**4 + 134633*d**3 - 906207986*d**2 - 1268901216*d - 362558592 = 0.\nAnswer: -1, -2\/5, 13464","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (-1380)\/3910*((-1)\/9)\/(8\/(-24))\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -6 - -3. Let v = 19931.8 + -19932. Sort 4\/3, r, v, 2 in descending order.\nAnswer: 2, 4\/3, v, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, -27, 8 in ascending order.\nAnswer: -27, 6, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -6 + 4. Let r(q) = -9*q + 1. What are the prime factors of r(i)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -66*v + 66*v + 5*v**2.\nAnswer: 5*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1 + -1. Let t be (-1332)\/(-48) + -14 + 6*1\/(-8). Which is bigger: t or b?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -11*a*h*k + 37*a*k + 20*a - 216*h*k + 8*k wrt h?\nAnswer: -11*a*k - 216*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 6767 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 48*d. Let l(u) = 71*u. Let q(z) = 1003*z. Let t(x) = 85*l(x) - 6*q(x). Give t(i(v)).\nAnswer: 816*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 10*w**3 + 2*w**2 + 3*w**3 - 4*w**3 - w**3 to the form q*w**2 + o*w + u*w**3 + n and give u.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 110 + -101 + (-116)\/13. Is 113 <= u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2762713 - 1381358 - 1381355 + 22*f**2.\nAnswer: 22*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 72785 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 43 = -q + 2, -5*q = b - 9. What is the remainder when 357 is divided by b?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 790069 to the nearest integer?\nAnswer: 889","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*d**2 + 90*d + 375.\nAnswer: 3*(d + 5)*(d + 25)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 93*w**3 - 2*w - 1. Let p be n(-1). Let f = p + 206. What is the remainder when f is divided by 11?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = r**3 + 597*r**2 - 646*r - 28710. Determine y(-598).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10)\/4*13*20\/(-325) - 28\/6?\nAnswer: -8\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh smallest value? (a) 0.4 (b) 3 (c) -5 (d) 2\/17 (e) -8 (f) 98 (g) -3\/5\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((6*r**2 + 1 - 1)*(2 + r - 2) + r**3 + 2*r**3 - r**3)*((-1 + 1 - 1)*(-1 - 1 + 3) - 3 - 3 + 5 - 8 - 6 + 5).\nAnswer: -88*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -15 + 13. Let u be -1380000 + (2 - (4 + g)). What is u rounded to the nearest one hundred thousand?\nAnswer: -1400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-90)\/(-5112))\/((-135)\/108)?\nAnswer: -1\/71","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -3725 - 0?\nAnswer: -3725","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -5*j**3 + 5*j**2 - 3*j - 2. Let s(g) = -5*g**3 + 5*g**2 - 2*g - 2. Give -4*k(c) + 5*s(c).\nAnswer: -5*c**3 + 5*c**2 + 2*c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -8, -30, -62, -104, -156?\nAnswer: -218","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.01 - 1011505?\nAnswer: -1011504.99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -104 = 9*k - 23. Let p(c) = -c**2 - 10*c + 2 - c - 12. Calculate the lowest common multiple of p(k) and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 379? (a) -1\/6 (b) -0.1 (c) 1\/2 (d) 52 (e) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i - 49 = -2*w + 6, 29 = w - i. Suppose 0 = -l - 2, 5*q - 4*l = 2*q + w. Solve -3*v - q = 4*g + v, 0 = -4*g - v - 8 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.2 + -0.3. Let w = 0.5 - 0.2. Let l = 0.6 - 2.6. Which is the closest to 0? (a) z (b) l (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 15\/7 in 8\/3, -0.3, -3?\nAnswer: 8\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 12 and 1208193744.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s**3 - 68*s**2 - 190*s - 124 = 0 for s.\nAnswer: -31, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 296244 and 18036?\nAnswer: 49472748","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -121\/490 and 187\/210.\nAnswer: 1470","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 44107.16 micrograms to grams.\nAnswer: 0.04410716","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 525 - 524. Let p be (-30)\/(-21)*7\/t. Solve -f - f = p for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 10.8238996 + -3.\nAnswer: 7.8238996","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -11420 rounded to the nearest one thousand?\nAnswer: -11000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-10 - -6) + (4 - 3 - -1).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 304332 is divided by 1984.\nAnswer: 780","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + v**4 + 0)*((-2 - 2 + 3)*(4 + 1 + 4) - 1 + 2 - 2).\nAnswer: -10*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.1, -79, 0.4?\nAnswer: -79","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 170 is divided by -5*(-21)\/(-245) - 622\/(-14).\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.02369431 rounded to four decimal places?\nAnswer: -0.0237","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 418 + -380. Find j, given that -r*j**2 - 4*j + 32 + 4*j**4 + 14*j**2 - 7*j**3 + 20*j + 3*j**3 = 0.\nAnswer: -2, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 13543?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -v**3 - 5*v**2 + 49*v + 3. Let d(f) = -4*f**3 - 21*f**2 + 214*f + 13. Determine -2*d(l) + 9*y(l).\nAnswer: -l**3 - 3*l**2 + 13*l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -22088 (base 9) to base 14\nAnswer: -54b2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -2*y**3 - 27 + 44*y**2 - 4*y - 4*y - 17*y. Let t be p(22). Let a = 2036 + t. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10 - 16 + 26 - 63*h.\nAnswer: -63*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 33 + -359\/12. Find the common denominator of 77\/24 and j.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-108066)\/(-273) + (-2)\/(-13). Suppose -38*k + 32*k + j = 0. Suppose 2*o - 166 = 4*q, 0 = -o - 5*q - k + 184. What is the units digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 317 - 309. Suppose g - f = 4*l, 2*l - 4*l = 5*g - 18. Solve 2*r - g = y, 4*r - 6*y + 4 = -y for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 489 = -5*o, -4*o - 8*d - 385 = -5*d. Let s = 93 + o. Calculate the common denominator of (-96)\/(-54) + s + 0 and 3\/8.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 - (-1 - -2 - -3).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(-6)*v*v**(-2\/11)*v*v**(1\/2)*v\/(v\/(v\/v**(2\/9)))*v**(2\/3)\/(v\/v**(-2\/5))*v**(-1\/6)\/v**5 assuming v is positive.\nAnswer: v**(-4358\/495)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 7400173 (base 10) in base 8?\nAnswer: 34165355","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 355 minutes after 3:17 PM?\nAnswer: 9:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 26 + (-3 - (-6 + 1)) - 7 - 4.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, -89, 22, -0.5, 6, 5, 2\/9 in descending order.\nAnswer: 22, 6, 5, 2\/9, -0.5, -6, -89","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -244*o**3 + 13*o**2 + 241*o**3 + 6*o - 10*o**2 = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.29734 rounded to 3 decimal places?\nAnswer: -0.297","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Product of -138 and 10061.22.\nAnswer: -1388448.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = m**3 - m**2 - 1. Let j(z) = 3*z**3 - z**2 - 5*z + 7. Let o(i) = j(i) + 2*p(i). Is o(3) a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 + 5 - 101 - 17 - 90 - 2*c as y*c + d and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 1\/5 of a milligram?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 9*z**2 + 23*z - 135. What is the tens digit of o(9)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = k**3 - 19*k**2 - 42*k - 26. Let b be z(21). Let l(t) = t**2 + 25*t - 21. Let v be l(b). Solve v*u + 16 - 1 = 0 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1649 and 20655?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 26*a**2 + 2*a + 2. List the prime factors of m(-1).\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 5 + 87*q**3 + 1 - 86*q**3 - 3. Let d(w) be the third derivative of w**6\/40 - w**5\/60 + 7*w**3\/6 + 27*w**2 - 2*w. Calculate -7*c(s) + 3*d(s).\nAnswer: 2*s**3 - 3*s**2","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: What is 21\/8 of a microsecond in nanoseconds?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + (3 - 5 - -4).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -420.3314258 rounded to the nearest one hundred?\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1032059663 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -3 - (-8 + -7 + -3). Let w be (t + -14)\/(12\/20). Solve 0 + 4\/3*v**3 - 1\/3*v**4 - w*v**2 + 2\/3*v = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 1, q: 1, w: 1, d: 1, x: 3}. Give prob of picking 1 q, 1 y, and 1 w.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6319 is divided by 4866?\nAnswer: 1453","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 746.\nAnswer: 2, 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 64 and 3856?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**2*k*k*k**2*k*(k\/k**(-7))\/k*k**3*k)\/((k**4)**(-25))**(18\/7) assuming k is positive.\nAnswer: k**(1926\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h when two letters picked without replacement from yieehhielhltyyhhli?\nAnswer: 10\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 10 = -3*k, -2*k = -3*z + 1 + 9. Solve -4*l + 0 = 2*i + 20, 0 = -4*i - z*l - 10 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 456483\/(-210) - 8\/40. Let j = 2173 + r. Calculate the common denominator of j and 19\/2.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.09 (b) 0 (c) 0.82 (d) 4 (e) 19.844\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 100058155657 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (j - j + 3*j)*(3*j - j - 3*j) + 0*j**2 + 2*j**2 - j**2 + (1 - 1 - j)*(-6*j - 4*j - 2*j) in the form q*j**2 + a*j + d and give q.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*d**2 - 2059988*d + 8240016.\nAnswer: -4*(d - 4)*(d + 515001)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -3*i**3 + 14*i**2 - 63*i - 396. What is x(-3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 145*n**2 + n. Let l be z(1). Let w = 1100 - 813. Let r = w - l. What is the hundreds digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = -86 + 80. Let d(j) = -5*j + 5. Let n(x) = -2*x + 2. Let m(f) = w*d(f) - 8*n(f). Determine m(8).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10110100 (base 2) to base 7\nAnswer: 345","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 617 minutes before 6:39 AM?\nAnswer: 8:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 bigger than -1\/1585?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 111067445?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 0 + h**2)*(-2*h**2 + 3*h**2 + 2*h**2) - 10*h**4 - 5*h**3 + 5*h**3 to c*h**4 + q*h**2 + j*h + x + v*h**3 and give c.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 8*t - 305. Let x(y) = -15*y + 609. What is -11*p(v) - 6*x(v)?\nAnswer: 2*v - 299","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 2 r when three letters picked without replacement from {e: 1, u: 1, r: 5, v: 1, b: 6}.\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/2*(-20)\/(-345)\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 418 = -192. Suppose -5*q + 3*v = 2*v - u, 0 = 5*q + v - 128. What is the remainder when 249 is divided by q?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2.827 times -0.8\nAnswer: -2.2616","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -6a7684 - 8?\nAnswer: -6a7690","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 138?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 51962738, 51962739, 51962740?\nAnswer: 51962741","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -m + 10*m + 6*m + 3. Let j be h(1). Are 17 and j unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9299 is divided by 121.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wuwhwwuuwuwwuwub. What is prob of picking 4 w?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.5 in 1\/2, -19, 0.2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 255, 307, 163, -183, -737, -1505, -2493?\nAnswer: -3707","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -81 = -5*s - 291. Let p = -40 - s. Let j be (p - -2) + (1 - 2). Solve j = -d + 7 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 2211*k - 92861. What is s(42)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.03981337774 rounded to five dps?\nAnswer: -0.03981","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4866.\nAnswer: 2, 3, 811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9*y**5 + 12*y**5 - 10*y**5 - y**4)*(5 - 3 - 1).\nAnswer: 11*y**5 - y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 650768 + -650772. Let b(m) = 7*m**3 + 4*m - 5. Let s(w) = 1 + 0*w**3 + 8 - 7*w - 14*w**3. Give d*s(o) - 7*b(o).\nAnswer: 7*o**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7898.\nAnswer: 2, 11, 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-c + 0*c + 0*c)*(-4 - 3 + 6) + 0*c + 3*c - c)*(-2810 + 2810 - 9*c**2 - 21*c).\nAnswer: -27*c**3 - 63*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + o + 5 = 4*o, -2*o = 2*d - 6. Let a be d\/(-7) - (-8)\/21. Let u = -8.97 - -9.27. What is the biggest value in 3, a, u?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 103740?\nAnswer: 2, 3, 5, 7, 13, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) be the second derivative of h**6\/150 - 4*h**5\/5 + 839*h**4\/30 - 104*h**3 + 1521*h**2\/10 - 78*h - 3. Factor i(j).\nAnswer: (j - 39)**2*(j - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) be the second derivative of a**4\/12 + a**3\/6 + 3*a**2\/2 - 865*a. Let u(b) = -b**3 + 6*b**2 - 6*b + 3. Let q be u(5). Let c = q + -2. What is x(c)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -354, -1491, -4284, -9603, -18318, -31299, -49416, -73539?\nAnswer: -104538","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 661\/185 - 83109\/28490. Let p = -1703\/185 + -7\/74. Calculate the common denominator of p and s.\nAnswer: 770","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of h**2*v**2*y + 23*h*v*y + 3*h - 89*v**2*y + 4*v*y - 2 wrt h?\nAnswer: 2*h*v**2*y + 23*v*y + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1903839967 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3125535 (base 7) to base 4.\nAnswer: -1123323132","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1132 (base 5) to base 11.\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2 - -10) + -15 - 91 - 3) + -45 + 32.\nAnswer: -114","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1884 + -207. Let l = -1414 - x. Round l to the nearest 100.\nAnswer: -3100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -5ba4 - -22?\nAnswer: -5b82","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1252936 a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*b - 2 + 2)*((-3 + 3 - 2*b)*(-b**2 + 3*b**2 - 4*b**2) + 59*b**3 - 30*b**3 + 28*b**3).\nAnswer: 122*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 15) to base 14\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = n**3 + 5*n**2 - 6*n - 29. Let g be q(-4). Let b(v) = v**3 - 8*v**2 - 35*v + 15. What is b(g)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*w - 224 = 7*w. Suppose 4*b - 292 = -4*g, 161 + 139 = 4*b + 2*g. Calculate the lowest common multiple of w and b.\nAnswer: 616","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) be the second derivative of w**4\/6 - 23*w**3\/6 + 11*w**2\/2 - 9*w + 9. Let t be a(11). Solve 2*m + 8 = 5*o + 3*m, t = 4*o - 3*m + 5 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 minus -14.7964?\nAnswer: 19.7964","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 6 = -x. Suppose -1 = -y + x. Does 14 divide -1 + y*(1 + 4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 2, e: 5, f: 3}. What is prob of sequence ef?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16 + (-1 - (2 - 3 - 2)).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -727 + 4572. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3568?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2331360.\nAnswer: 2, 3, 5, 1619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a = 2 - 17. Suppose v = -a, 0*v - 11 = -k + 4*v. Put 3, 5, k in decreasing order.\nAnswer: 5, 3, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -l**3 - 11*l - 10. Let d be t(9). Let u = 836 + d. Let c = -16 - -11. Sort 3\/2, u, c in decreasing order.\nAnswer: 3\/2, u, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -26 + 18. Let l = 7.8 + s. Which is the biggest value? (a) -1\/2 (b) l (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -9 + -3. Let c(t) = -t**2 - 13*t - 7. Let h be c(w). Solve h*u = 4*u + 3*k - 5, -4*k = 2*u for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 519 - 508. Suppose 9*k + 577 = q*k + 5*f, -k = -5*f - 311. List the prime factors of k.\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 0.9580881ug?\nAnswer: 0.0000009580881","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 138\/(-36) + (-30134)\/(-7980).\nAnswer: -2\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 minutes before 11:57 AM?\nAnswer: 11:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*f - 10 = 8. Let t be -3*(-138)\/432 + 1 + f. Let u = t + 7\/6. What is the nearest to 4 in -3, u, -0.3?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 3*f**3 - 18*f**2 + 30*f + 7. List the prime factors of z(10).\nAnswer: 11, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 582872 is divided by 291223?\nAnswer: 426","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4061 and 434210242?\nAnswer: 4061","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 383?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 26\/42 + 8\/(-28). Suppose 0*k = -2*k + 4*u - 20, 5*k + u = 5. Which is the third smallest value? (a) d (b) 1\/9 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -97 - 324*j + 157*j + 173*j + (-2*j + j + 2*j)*(1 + 2 + 0).\nAnswer: 9*j - 97","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.3 + 0. Let m be 98\/385*-15 - -4. Which is the fourth biggest value? (a) -0.3 (b) w (c) m (d) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is dda3469 - 0?\nAnswer: dda3469","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/(72\/40)*(-23)\/(-575)?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b\/b**(2\/13)*b\/b**0 assuming b is positive.\nAnswer: b**(24\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 3065033 to the power of 1\/3, to the nearest integer?\nAnswer: 145","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 271794 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 27699.\nAnswer: 3, 7, 1319","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 3913751 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -183.4 in 0.0396, 1\/5, 0, -1\/2, 2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**33*l)\/l**(17\/5)*l\/(l*l*l*l\/l**7)*l*l*l**(-1\/7)*l assuming l is positive.\nAnswer: l**(1311\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2531016?\nAnswer: 2, 3, 35153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/(-3)*(-57)\/1444)\/(1\/(-4)).\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1256 + -326?\nAnswer: 630","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -236539.49 to the nearest 100.\nAnswer: -236500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3771 is divided by 77?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 35333134 + -9?\nAnswer: 35333126","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -45*h**2. Let o(c) = -27*c. Calculate o(z(b)).\nAnswer: 1215*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 715*i**3 - 5*i**2 + 444*i + 10. Let m(y) = 2502*y**3 - 18*y**2 + 1554*y + 36. Let p(g) = 18*c(g) - 5*m(g). Find the second derivative of p(d) wrt d.\nAnswer: 2160*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 153, -1, -3, -4, 2, -6 in descending order.\nAnswer: 153, 2, -1, -3, -4, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/(-14) + (-2619)\/(-6790)?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.08 - -2.58. Let l = 2 - u. Let f = 709\/7 - 101. Which is the second smallest value? (a) f (b) 1 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 30 + 20322?\nAnswer: 21012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1071*d + 5 = -1070*d, d - 80 - 285 = -5*f + 2*d for f.\nAnswer: 74","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 5*c**2 + c - 6. Let f be t(-3). Let d = f + 103. What is the units digit of d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5.3 - -5. What is the nearest to 1\/4 in -2\/13, -37, k?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 110 - 250 + 140 + 13904*p to the form f + s*p and give s.\nAnswer: 13904","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -98268 - -91.\nAnswer: -98177","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 3089, 619, -6093, -19171, -40739, -72921, -117841?\n\"Answer: -354*z**3 + 3*z**2 - z + 3441","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 178, 684, 1584, 2926, 4758, 7128?\n\"Answer: 8*z**3 + 149*z**2 + 3*z + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express a - 73*a**3 + 22*a**3 + 57381*a**4 - 57395*a**4 in the form x*a**4 + u*a + t + l*a**2 + o*a**3 and give o.\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -5360*p + 2. Let m(f) = 347*f - 2. Determine i(m(d)).\nAnswer: -1859920*d + 10722","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/3 in -0.2, 0.2582, 10\/7, 2\/61, 5, 2\/49?\nAnswer: 0.2582","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 2\/5, -0.4, -3.7 in decreasing order.\nAnswer: 2\/5, -0.4, -3, -3.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 585 and 85.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 7 + 8 = 3*j, 0 = 5*a - 2*j - 143. Suppose -4*y + 67 + 82 = -5*m, -y + 35 = m. Let f = y - a. What is the units digit of f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + 7 - 1 = -3*s, 5*b = -3*s - 24. Solve 3*d = 4*y + 36, 2*d - 6 + 10 = -s*y for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4 - -40*(-1)\/(-2) is divided by 9.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -11*h**3 + h**2 - 2*h - 2. What is r(-1)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*n + n - 4*n)*(-2 + 10 - 5)*(5 - 1 - 2)*(0 + 0 + 6).\nAnswer: -108*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s = 4 + 1. Let u = -3 - -6. Suppose 60 = -4473*z + 4453*z. Sort u, s, z in ascending order.\nAnswer: z, s, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 58030 to the nearest integer?\nAnswer: 241","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + ((sqrt(147) - (sqrt(147) + -1)) + sqrt(147))**2 + -2*(-1*(sqrt(3) + 2))**2.\nAnswer: 6*sqrt(3) + 137","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = 5*h - 88795, 4*h + 705*m - 706*m = 71035. Is 6 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = r**2 + r + 10. Let j be y(0). Suppose 149*n - 151*n + j = 0. What is the second derivative of 7*b - 13*b + 21*b + 2*b**n + 16*b wrt b?\nAnswer: 40*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10000110010000111 (base 2) in base 7?\nAnswer: 404263","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.06999744 - -0.07. What is z rounded to 7 dps?\nAnswer: 0.0000026","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 520341?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) be the second derivative of -c**3\/2 - 13*c**2\/2 + 4*c. Let i be z(13). Let b be 44\/52 + (-8)\/i. Solve -4*r = -b - 15 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6 - -1) + (4 - (-3 + 1)) + 0.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r - 22 = -4*r + 3*t, -5*t = -5*r + 30. Suppose 0 = 4*v + 3*c - 2 - 7, -r*c + 12 = 0. Suppose v = 3*j - 41 - 406. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2 (b) -5 (c) 329\/23 (d) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 307.79848 to the nearest ten.\nAnswer: 310","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 2*z**2 - 4*z**2 + 4*z**2. Let u(n) = 3*n + 56137 - 56137. Determine v(u(f)).\nAnswer: 18*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.63 + -0.61. Let n = -1613\/8 - -202. What is the smallest value in -0.2, n, z?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 432 is divided by 6?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 830 - 830.2. What is the closest to -105 in -0.4, -0.3, r?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 2*d + 6. Let v be y(-4). Which is the closest to v? (a) 2 (b) -2\/23 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 480647 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1201868495 to the power of 1\/3, to the nearest integer?\nAnswer: 1063","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s = -294 + 39. Suppose w = -0*w + 4*k + 12, -5*w - 5*k = -s. What is the lowest common multiple of 8 and w?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = t + b + 7, 4*t + 7*b = 2*b - 31. Let a = 46 + -42. Let m(w) = 6 + 9 - 20 + a + w. Give m(t).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -83*d + 88*d = 2*j - 3585, -1792 = -j + 3*d. Does 28 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12910 is divided by 34.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 49677.00056 - 49679. Let c = -2.05 - -0.05. Let f = c - d. Round f to 4 decimal places.\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from oxqxuqqsqxuuonunqxnx. What is prob of picking 1 o, 1 x, 1 s, and 1 q?\nAnswer: 10\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:53 PM and 12:02 AM?\nAnswer: 249","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 847339 is divided by 81?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3\/5? (a) -1\/2 (b) -2 (c) -10 (d) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 10*g - 14*g + 28. Suppose -g*m + 3*m + 124 = 0. What is the units digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a + 5*g - 1 = a, -4*a + 2*a + 11 = -a - 2*a - 5*g for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x = 4*j - 8*j + 12, 3*x + 5*j - 7 = 0. Suppose 0*t - a - 4 = -t, x*a + 19 = 5*t. What is the second smallest value in -2, -1.4, t?\nAnswer: -1.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 951 + -461. What is the remainder when f is divided by 16?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 136 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, 1\/4, 0.5, -0.02, -6.\nAnswer: -6, -0.1, -0.02, 1\/4, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 4, d: 1, t: 2, g: 9}. Give prob of picking 1 t and 2 u.\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 0.9907285um?\nAnswer: 0.0000009907285","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 640*w - 3 = 638*w + v, -5*v - 33 = -4*w. Let c(z) = 3*z**2 + 11*z + 15. Determine c(w).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n = 2*n + 6. Suppose 0 = -n*g, 6*h - h - 65 = g. Calculate the remainder when 34 is divided by h.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 4*v - 3. Suppose v*b - 4*s - 44 = -2*b, -2*s = 0. Let f = 3 - -1. Solve -5 = -f*p + b for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g = 4*f - 26, 2*g + 17 = -0*g - 5*f. Let v be (-6)\/4 + g\/4. Let j = 23 + v. Is 10 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 29 + -15. What are the prime factors of i?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 183*m + 46194. Calculate n(-252).\nAnswer: 78","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7210?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -2*r - 12. Let q be j(-8). Suppose 0 = q*l + 8 - 4. Is 1574\/6 - l\/(-3) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zzhfhzzazzhz. Give prob of sequence hz.\nAnswer: 7\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -54 - 10. Let d = -57 - w. Suppose i = d*i - 66. Does 10 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4299 a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 295 divide 354423939?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 102 (base 3) to base 12\nAnswer: b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n - 45 = -2*s - 3*s, 4*s + 9 = -5*n. Suppose 9*x = s*x + 230. Let r be (6 - 2)*x\/8. Calculate the greatest common divisor of r and 253.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 7\/14175260 and 23\/25515468.\nAnswer: 127577340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 44199 > 88395\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -n - 1. Let l be 1*(-1 + 5)\/(-4). Let k(f) = -4*f**2 + 3*f + 2. Calculate l*k(v) - 3*m(v).\nAnswer: 4*v**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k**3 + 2905634*k**2 - 1055340070560*k + 1055337164928 = 0.\nAnswer: 1, 726408","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 207, -3, 4\/7?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 21848737?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 167710670 to the power of 1\/8, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mjmj when four letters picked without replacement from jccmmmmbj?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1)\/4 - (-5)\/4. Let k be 4\/(-2) + -14 + (-4 - -7). Does r = k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/39 or 101?\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 246948657 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.051687209 to 2 dps.\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(1\/37)\/l)\/(l**(1\/16)\/l) assuming l is positive.\nAnswer: l**(-21\/592)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -3 + 3 - 2*a + (-15*a - 23*a + 6*a)*(0 + 0 - 2) as i*a + y and give i.\nAnswer: 62","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 52 - 48. Suppose -4*s + 1 = -x - 47, 5*x = d*s - 32. Suppose -u + 102 = -s. What are the prime factors of u?\nAnswer: 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dhednehnndedhdddddde. Give prob of sequence hhh.\nAnswer: 1\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -510\/7, 0.3, -1, -1\/5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -15, -33, -57, -87?\nAnswer: -123","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -s**3 + 4*s**2 - 2*s + 7. Let a be u(3). Suppose 0 = a*b + 6*b - 48. Solve 0 = 2*j + b + 1 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1404 - 1409. Sort 1, w, -2, 26 in decreasing order.\nAnswer: 26, 1, -2, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*o - 46 = -56 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -22186*q**3 + 598831*q**2?\nAnswer: -133116","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.329 minus 772?\nAnswer: -769.671","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -126146 (base 7) to base 9\nAnswer: -35518","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 6*s**2 - 25*s - 20. Let v be a(-20). Suppose 10*u - v - 1030 = 0. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 98266112 is divided by 49133052?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -11.3 - -51.3. Let c = -60 + y. Let g = c + 20.287. What is g rounded to 1 decimal place?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + ((sqrt(20)\/(sqrt(40)\/sqrt(4)))**2 - sqrt(162)).\nAnswer: -9*sqrt(2) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -3*n**3 + n. Let h be f(-1). Suppose 3*u - h = 2*q, 0*u + 2*u - 4*q = -12. Suppose 0 = 3*z - 19 + u. Solve 2*t - 5*b = 1, -z = 2*t + b - 0 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3*(-4)\/(-12)*(-9)\/3.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/43 in 4, -4, 2030, 5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1 + -2. Let h = o - -2. What is the closest to 1\/4 in h, -2, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 6\/91? (a) 2\/5 (b) -0.3 (c) 519\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 0, 12, 46, 114, 228, 400, 642, 966?\n\"Answer: 2*y**3 - y**2 + y - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 42566 + -21099. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -4*g**2 + 18*g - 68. Let f(z) = z**2 + 1. Let v(m) = -6*f(m) - p(m). Is v(-10) a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -455*a**2 + 7*a**2 + 139*a**2.\nAnswer: -309*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.01558 + 3243343142?\nAnswer: 3243343141.98442","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = k + 3. Let o be a(-6). Let c be 8\/12*(-9)\/o. Solve -c - 3 = 5*f for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tkod when four letters picked without replacement from {t: 4, l: 1, o: 5, k: 5, d: 3}.\nAnswer: 5\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5272*p + 5249*p + 2576 = 0. Suppose x = 2*x - 100. Let q = p - x. Calculate the greatest common factor of q and 24.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4190601 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -1402763*q - 1398931.\nAnswer: -1402763","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 88021.624 to the nearest ten.\nAnswer: 88020","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:17 AM and 7:15 AM?\nAnswer: 298","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 6964*d. Let x(v) = 11*v. Give u(x(m)).\nAnswer: 76604*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 4617063483 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide 902059 by 7.\nAnswer: 902059\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 42842 (base 9) in base 14?\nAnswer: a4ba","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*g + 2903*g**2 + 2859*g**2 - 5311*g**2 in the form b*g + w*g**2 + u and give b.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 38 and 68730?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 10532537 to the nearest integer?\nAnswer: 219","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide 41419364 by -10354841.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 2.44 times -323137\nAnswer: -788454.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -3 (b) -2.9 (c) 0.3 (d) -6\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 104208 divided by -7218\nAnswer: -17368\/1203","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 461151?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 9750?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 687 minutes after 3:10 AM?\nAnswer: 2:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*g - 103*s = -100*s - 3, 0 = 4*s - 4 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) be the first derivative of s**3\/3 + 7*s**2\/2 - 10*s + 3. Let c be h(-9). Let i = c - 5. Solve 4*j - 3 = u + i, 5*u - 2 = 4*j for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 47*t + 1. Let g = 36 + -34. Calculate the remainder when c(g) is divided by 32.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r, 1 t, and 1 h when four letters picked without replacement from {y: 1, t: 1, f: 2, h: 1, r: 8, j: 1}?\nAnswer: 4\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2290?\nAnswer: 2, 5, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-57)\/((-1368)\/(-80)))\/((-4)\/6).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a millisecond in microseconds?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*j*r**2 + 178900*j*r + 12329471*r**2 + 2*r - 157 wrt r?\nAnswer: 4*j + 24658942","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-90)\/27*36\/8?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = u**2 - u - 1. Let c(w) = -8 - 2*w + 5 + 2 + 0*w - w**2 - 3. What is -c(d) + 2*x(d)?\nAnswer: 3*d**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -59500111 or -3?\nAnswer: -59500111","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15241 = -31*i + 538. List the prime factors of i.\nAnswer: 509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(325)*1 + 2.\nAnswer: 2 + 5*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*b**2 - 138781*b**3 + 4 - b**4 + 138743*b**3 - 10*b**2 as r + x*b**4 + a*b**2 + l*b + u*b**3 and give r.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-195)\/(-75)*(-8 - 2). Let b = 30 + i. Solve -5*h - 15 = 5*s, b*h - 3 = 5*s + 12 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8223236941 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -5*h**3 - 35*h**2 - 88*h - 8. What is s(-3)?\nAnswer: 76","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) be the second derivative of -3*v + 5*v - 8*v - v**3. Let s(n) = -11*n. Calculate 5*r(q) - 3*s(q).\nAnswer: 3*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 34 - ((-4)\/(-2) - 0\/(-3)). What is y rounded to the nearest ten?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 38*i + 5*i + 166*i.\nAnswer: 209*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w**(-23))\/w**18*(((w\/w**26)\/w)\/w)\/(w**(-19)\/w) assuming w is positive.\nAnswer: w**(-47)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -1092100 rounded to the nearest one hundred thousand?\nAnswer: -1100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*s**2 + 628*s + 18200.\nAnswer: -4*(s - 182)*(s + 25)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) be the second derivative of -4\/21*v**7 + 0*v**5 - 4 + 1\/6*v**4 + 0*v**2 + 3*v + 0*v**6 + 1\/6*v**3. What is the third derivative of n(b) wrt b?\nAnswer: -480*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -191*g - 8*g - 796 = 0. Let x = 4 + -3. Let t(h) = h**3 + x - 3 + 3 + h. Let f(d) = -3*d**3 - 4*d - 4. Give g*t(u) - f(u).\nAnswer: -u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = -2*k - 10 - 84, -5*b = 2*k - 434. Suppose 62 + b = 6*u. What are the prime factors of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -s**2 - s + 7. Give g(0).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -13.1007459 * -0.3\nAnswer: 3.93022377","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 1010101000101 (base 2) to base 5\nAnswer: 133240","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -7 and -2360802?\nAnswer: 2360795","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 329416?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(720)*2)\/sqrt(12) - sqrt(60))\/(-2*sqrt(24)\/sqrt(2)))**2.\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*f - 21 = 3*f - y, 0 = -5*f - 3*y + 31. Suppose 0 = -3*x + f + 10. Calculate the highest common divisor of x and 12.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 701 - 702. Which is the nearest to t? (a) 20 (b) 1\/3 (c) 3 (d) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 4882*q. Let l(x) = -119414*x**2. Determine l(c(g)).\nAnswer: -2846104200536*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) be the second derivative of o**5\/10 - o**3\/6 - o**2\/2 + 2*o. Let f be s(4). Suppose 475 = 2*x - f. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 79432*f**2 - 158947*f**2 + 79531*f**2 + 1 - 1 + 0.\nAnswer: 16*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2)\/2*(3 - 6). Find the second derivative of 355*b**x + 8 - 67*b - 8 - 369*b**3 wrt b.\nAnswer: -84*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xxoohooohhtoodoohoo. Give prob of picking 1 x, 1 t, 1 d, and 1 o.\nAnswer: 11\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 98\/6 + 35\/21. Suppose 0 = -3*l + 5*p + 299, 4*p + 0*p = -2*l + 170. Let x = l + -12. What is the highest common divisor of w and x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2477 by -6456.\nAnswer: 2477\/6456","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (6*b + 4*b - 27*b)*(-245*b - 37*b**2 + 245*b) + 23*b**2 - 23*b**2 - b**3 as t*b + i + q*b**2 + c*b**3 and give c.\nAnswer: 628","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7 - (12 - (-4 - -10))) + 6.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/5 in -0.1, -0.5, 4?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 552 and 80.\nAnswer: 5520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = w. Let z(y) be the first derivative of y**4\/24 + y**2 + 1. Let i(a) be the second derivative of z(a). What is i(r(f))?\nAnswer: f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 2*p - 22. Let b be l(10). Put 16, b, 4 in descending order.\nAnswer: 16, 4, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2136 or 0.0496?\nAnswer: -2136","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 16901792*h**2 + 168696*h + 20.\nAnswer: 33803584","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 332857 to the nearest integer?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = n. Let f(b) = -202*b**2 - 5*b. Let v(w) = -15957*w**2 - 394*w. Let r(a) = 394*f(a) - 5*v(a). Give r(i(o)).\nAnswer: 197*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 3*p**3 - 4*p**2 + 3*p - 1. Let u be h(2). Let x(z) = 277 - u*z**2 - 277. Let a(j) = -j**2. What is a(x(n))?\nAnswer: -169*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 48594447 and 891.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9929 is divided by 9847.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*m**2\/9 + 10*m\/3 + 52\/9.\nAnswer: 2*(m + 2)*(m + 13)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1011111011010010 + -1001?\nAnswer: 1011111011001001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-36*n**4 + 4*n**4 + n**4)*(11*n - 4*n + 8*n).\nAnswer: -465*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 10*k - 7*k - 9. Let p = -1 - 4. Let x be 1\/(-2) - (-5)\/(-2). Sort x, k, p in increasing order.\nAnswer: p, x, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 3 + 2)*(-2 + 2 + 2*v)*(-3*v + 4*v - 2*v)*(-92 + 6 - 58).\nAnswer: 288*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -8 + 8 + 5*b as j*b + a and give j.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 2171531 times -4?\nAnswer: -8686124","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10 + 10 + 2*w**3 + 65*w**2 - 65*w**2.\nAnswer: 2*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 553 divide 3827400?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/(-14))\/((-98)\/147).\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ooo when three letters picked without replacement from {o: 3, c: 1}.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2 (b) 120160.8 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 - -7 - -7 - 12?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = u**2 + 3*u. Let t(b) = b**2 + 3*b + 1. Let l(p) = p - 3. Let x be l(-3). Let w(r) = x*z(r) + 5*t(r). Calculate w(-6).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 12147.55cm?\nAnswer: 121.4755","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1136 = 2*p + 5*y, -3*p - p + 3*y = -2246. Let j = p + -561. Solve -j*g + 6 = -4 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -583, -40.43, -44\/9?\nAnswer: -44\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3*(-10)\/((-90)\/9)*-1?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 85.90914l in millilitres?\nAnswer: 85909.14","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-6*(sqrt(330) + (sqrt(330) - sqrt(330)*-5)))\/sqrt(11))\/((sqrt(90) - -2*sqrt(90))\/sqrt(9) + sqrt(100)\/(sqrt(30)\/sqrt(3))).\nAnswer: -21*sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/((-50)\/18)*((-4)\/(-16))\/((-2)\/10)?\nAnswer: 9\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 30 in 0, 0.5844, -0.3?\nAnswer: 0.5844","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 18 and 3900?\nAnswer: 11700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 7 - -3. Let j(m) = -2*m + 13. Let r be j(d). Let k = 17 + r. What is the greatest common factor of k and 90?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 42640 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3961, 3955, 3963, 3991, 4045, 4131, 4255, 4423?\nAnswer: 4641","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 80*t. Let y be a(1). Suppose 1335 - 510 = 4*p + 5*g, p - 190 = 2*g. What is the greatest common divisor of y and p?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 59*y**3 + 14*y**2 - y - 9. Let p(i) = 29*i**3 + 7*i**2 - 4. Let d(o) = -9*p(o) + 4*z(o). What is the tens digit of d(-2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*k = 13*k - 12. Let t = 13 + k. What is the highest common factor of 28 and t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32 = -i + 5*j, 3*i + 26*j = 27*j + 12. Determine x, given that 0 - 2*x - 2\/3*x**i = 0.\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 157.2 + -4592.2. Let u = w + 4435.03946. Let p = -0.04 + u. What is p rounded to 4 decimal places?\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(108)\/sqrt(3)*1)\/sqrt(2))\/(1*sqrt(576)*-3).\nAnswer: -sqrt(2)\/24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-3)\/2 + (-18)\/(-4) - -1173. What is i in -960*i**2 - 450*i**3 - 1215 - x*i - 390*i**2 - 849*i - 5*i**5 - 75*i**4 = 0?\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5600469 a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -71*c + 141587 = 139173 for c.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -25*y + 21*y + 66*y + 7 + 36*y to k + f*y and give k.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -737402, -737404, -737406, -737408?\n\"Answer: -2*g - 737400","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3189 - -3126. Let g be (0\/2 - -1) + -46. Let a = g - v. Calculate the smallest common multiple of 18 and a.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 111\/24016730 and -49\/72050190?\nAnswer: 72050190","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in q - 4*q + 292*q**2 + 3*q - q.\nAnswer: 292*q**2 - q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1890 + -233. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 - (-14 + 11 + -1 + -14)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 512.2 + 0.2?\nAnswer: 512.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/7 in 5, -0.1, -2\/7, -0.007?\nAnswer: -0.007","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a = -8, -x + 17 = -4*a - 9. Let q = 16 - x. Let b be q\/(-10) + 12\/(-30). Let s(m) = -5*m - 1. Calculate s(b).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 996496 and 976?\nAnswer: 976","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 280, -5 in increasing order.\nAnswer: -5, -1, 280","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 2*h + 4 - 2 - 4 + 2*h**2. Suppose -5 = -5*f - 20. Calculate the remainder when r(f) is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 6785*p**4*y**2 + 502*p**4 - 13*p*y + 342057*y**2 wrt p.\nAnswer: 81420*p**2*y**2 + 6024*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1070 - 1070.1. Let d = -0.57 + 25.57. Put d, 1\/3, z in descending order.\nAnswer: d, 1\/3, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-1)\/(-125)*(-4 - (-93)\/2) and 48\/25.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5\/15*-132*42\/(-154)\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.36196255 + -0.0251.\nAnswer: -0.38706255","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -2034550 divided by 3?\nAnswer: -2034550\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 45549987.\nAnswer: 3, 7, 17, 127591","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 23824 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:07 PM and 10:08 PM?\nAnswer: 421","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13 + (65 - 69) - (-1 - 0 - -7).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3745?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9.23*1.6.\nAnswer: 14.768","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 822 and 72736862?\nAnswer: 274","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -14179, 221, 5 in decreasing order.\nAnswer: 221, 5, -14179","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = r - 2*p + 1, 2 = 2*r + 2*p + 4 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 16\/6*(-9)\/(-4). Let v = -4 + t. Solve g + v = -g for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/4 of a millimeter in micrometers?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -119*i**5 + 4*i**4 - 106*i + 3.\nAnswer: -2380*i**3 + 48*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 46465351\/374 + -124239. Find the common denominator of k and -89\/22.\nAnswer: 374","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1)\/(-2)*-4 + 2. Let t(h) = 5*h**2 - 3*h**2 + p*h**2. Let n(s) = 8*s**2. Give t(n(j)).\nAnswer: 128*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -93*y + 64*y + 493 = 0. Solve y = -5*l - f, -l - 11 = 2*l + f for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-38987)\/(-65) + (-8)\/10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -291043 < 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 52195 is divided by 116.\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 21*j - 6. Let n be w(6). Let g = -48 - -72. What is the highest common divisor of g and n?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -q**3 - 3*q**2 + 5*q + 1. Let c be r(-4). Let n be -1 - (-3 + -2 + c). What is the greatest common divisor of n and 21?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 24.3 (b) 192 (c) 5 (d) 26\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -18917979.5 rounded to the nearest one thousand?\nAnswer: -18918000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 247863550189 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 34.1 + -33.8. Which is the biggest value? (a) x (b) -0.1 (c) 15 (d) 1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -6 + 11. Let m = 3 - f. Suppose h = 5*h - 20. Which is the third smallest value? (a) h (b) m (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (2\/4)\/((-7)\/(-56)). Suppose 0 = p + 4*p. Suppose -3*f = -2*b - p*f - 3, 5 = 3*b + 5*f. Solve 0 = -4*h + a - 3*a, b = 2*a - t for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*g + 176884*g**3 + 4 + 8*g**4 + 218*g**2 - 5 - 176884*g**3 in the form n*g + d + a*g**3 + b*g**4 + y*g**2 and give b.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8290*y - 17*y**2 - 8292*y + 705*y**2.\nAnswer: 688*y**2 - 2*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express 10*s**2 + 18*s**3 - 2*s - 6*s + 9*s**3 - 29*s**3 in the form f*s + m*s**2 + d*s**3 + j and give m.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -74 = -11*l + 2*o, -2*l + 4*o - 5 + 12 = 2*o - 13 for l.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 5*k**3 + 84. Let b(o) = -28*o**3 - 420. What is -2*b(u) - 11*l(u)?\nAnswer: u**3 - 84","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.4 and -916.\nAnswer: -916.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) be the third derivative of -v**5\/30 - 218*v**2. Let x(q) = 26*q**2 + 1. Determine x(f(w)).\nAnswer: 104*w**4 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 32092 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 445415 is divided by 222705?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 5, z: 1, e: 3, q: 1, f: 1, b: 1}. Give prob of picking 1 c, 1 f, and 1 q.\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 201 and 111?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uqzu when four letters picked without replacement from qzquzqjqzzzqzzquuz?\nAnswer: 1\/255","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -33001*h**4*l - 15*h**3*w**2 + h*l - 10*h*w**2 + h*w - 205*l*w**2 - 6*l*w wrt h.\nAnswer: -396012*h**2*l - 90*h*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1.538, 6, -2, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z and 2 x when four letters picked without replacement from lxzzxllltlltxtlztu?\nAnswer: 1\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 964 is divided by 121.\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + -4*sqrt(15)\/sqrt(5) + ((-2*sqrt(243))**2 - sqrt(3)) + sqrt(3) + -2 + sqrt(6)\/sqrt(50) + sqrt(3) + 5.\nAnswer: -14*sqrt(3)\/5 + 973","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -31*x**2 + 709*x + 15. What are the prime factors of r(19)?\nAnswer: 3, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 9632014?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5 + 2 - 5)*(3*y**2 + y**3 - 3*y**2 + (y**3 - 2*y**3 - y**3)*(-5 + 5 - 1) - y**3 + 2*y**3 + 3*y**3) to o*y**2 + l + q*y + f*y**3 and give f.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 - 166 = -4*q - 3*m, -5*m = 4*q - 161. Suppose -66*h + 61*h = -375. What is the remainder when h is divided by q?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 109421867 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xbbbxscbbcbbcbbcbccc. Give prob of sequence ssxc.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 4, q: 11, j: 1, z: 3}. Give prob of picking 1 j, 1 z, and 2 k.\nAnswer: 3\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 7*q**2 + q**4 + 4*q**2 - 2*q**2 + 7*q**4 wrt q.\nAnswer: 192*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 2 + -1922522b?\nAnswer: -19225229","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 6 and 126.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 4, q: 7}. What is prob of sequence mm?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 1, l: 3, n: 2, a: 4, h: 2, y: 2}. Give prob of picking 1 l and 1 h.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (16 - 14) + (0 - 4)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 4 + 4 = 0. Suppose 14 = 2*h + k. Suppose -52 = 2*u - h*u. Solve 5 - u = 2*f for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26 = -2*q + 4*r, -3*q + 3*r + 18 = -2*q. Let u = q - -2. Calculate the remainder when u is divided by -4*5\/40*8\/(-2).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find i such that i**4\/6 - i**3\/2 - 3*i**2 - 2*i\/3 + 4 = 0.\nAnswer: -2, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -309 - -1233\/4. Sort 3\/5, b, -11, 0.\nAnswer: -11, b, 0, 3\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -235, -2\/11, -2?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -4 (b) 0 (c) 0.1 (d) 228\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 19.1 - 19. Let h = 101.9 - 102. What is the closest to h in 2\/7, 4, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4 - (3 - 8)) + -2 + 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rdrd when four letters picked without replacement from {r: 8, p: 3, d: 4, n: 2}?\nAnswer: 1\/85","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + 2*sqrt(1008))**2.\nAnswer: -144*sqrt(7) + 4041","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -17 + 23 + -2 + 1?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 0.057 (b) -0.2 (c) 127\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4509*x**5 - 12118*x?\nAnswer: 90180*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 1, w: 7, a: 2, e: 3, j: 3, y: 1}. What is prob of sequence ee?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -3*f - 12. Let l be f\/(-2) - (-24)\/(-16). Let k = 12 + -1. Solve l*i - k = 2*i - 3*r, r = -2*i + 1 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q and 1 e when three letters picked without replacement from {c: 4, f: 6, u: 2, e: 2, q: 3}.\nAnswer: 3\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -4850 - 4826789?\nAnswer: -4831639","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o + x - 18 = 0, 0 = 4*o + 11*x - 41*x + 76 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) be the first derivative of i**4\/6 + 8*i - 11. Let x(b) be the first derivative of z(b). Let y(l) be the first derivative of -2*l**2 - 4. Give x(y(t)).\nAnswer: 32*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/(-12)*96\/(-12)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3888 and 12.\nAnswer: 3888","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -v - 3. Let s be j(-6). Put -4, s, 6 in descending order.\nAnswer: 6, s, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*m = -52252 + 52258. Are -11\/1885 and m non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 7989 from -0.017.\nAnswer: -7989.017","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 148 + -148.000000143. What is d rounded to seven decimal places?\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 255754 (base 9) in base 16?\nAnswer: 25e1c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 10459, 38339, 84813, 149887, 233567?\nAnswer: 335859","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2365404?\nAnswer: 2, 3, 197117","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:41 AM and 7:53 AM?\nAnswer: 132","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 54337904?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-10)\/(-45) + 86\/18. Suppose -93 = -k*w + 67. Suppose -36 = -c + 2*p, p = c - 0*c - w. What is the tens digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 44\/7 and ((-1)\/(-36))\/((-588)\/(-1120)).\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 50200550 bigger than 50200553?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*c - 22*c - 457 - 292 - 331 for c.\nAnswer: -54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -326*u**3 - 2*u**2 - 3*u - 1. Let y be r(-1). Suppose 2*f = -3*j + 642, 3*j + y - 1616 = -4*f. What is the highest common factor of f and 36?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -49*x**2 - 460*x - 446. Calculate r(-1).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor k**2\/8 - 6895*k\/8 - 56550.\nAnswer: (k - 6960)*(k + 65)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 5 - 38a?\nAnswer: -385","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 358 + -353.67. Let n = j - 0.33. What is the third smallest value in n, -4, 2?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 182 divide 3138408?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1300 + 1013410?\nAnswer: 1012110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -448 + 773. What is the second derivative of -u*z - 2 + 349*z + 2 - 21*z**3 wrt z?\nAnswer: -126*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10765293300 rounded to the nearest 1000000?\nAnswer: -10765000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -53 divided by 53.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1645*i + 2329*i = 6156 for i.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.8687ng to grams.\nAnswer: 0.0000000018687","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -x**3 - x**2 + x + 1. Let y = 1305 + -1304. Let m(r) = 2*r**3 + r**2 - 7*r - 1. What is y*d(b) + m(b)?\nAnswer: b**3 - 6*b","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 120186?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -181*c**3 - 11 - 5*c**2 + c**4 + 2*c**2 + 182*c**3 in the form v*c + z*c**2 + u*c**3 + s + i*c**4 and give z.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at least as big as 73\/21579610?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 339*o + 5*a + 64 = 158*o + 183*o, -9 = -11*o + 3*a for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1943 to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -d**3 + 20*d**2 - 19*d + 28. Suppose 4*o - 80 = 3*m - 7*m, 5*o - 81 = -4*m. List the prime factors of z(m).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 50383528?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -111.0288 + 111. Let z = -0.0126 + r. Round z to 3 decimal places.\nAnswer: -0.041","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -11\/554164 and -5\/44.\nAnswer: 6095804","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4\/5? (a) -61 (b) 3 (c) -0.4 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 8, j: 5}. Give prob of sequence cjj.\nAnswer: 40\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -k + 1. Let x be u(6). Let a = x + 12. Is a a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.09 times 0.01?\nAnswer: 0.0009","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) be the second derivative of 0 + 0*f**2 + 3*f + 1\/6*f**4 + 1\/3*f**3. Determine g so that m(g) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 141658, 566603, 1274842, 2266375, 3541202?\n\"Answer: 141647*k**2 + 4*k + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*c**5 + 193*c**4 - 1027*c**3 - 1054*c**2 + 520*c + 384 = 0. Calculate c.\nAnswer: -48\/5, -1, -1\/2, 2\/3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2\/7 + 4\/(-14). Suppose 0 = -u*m - 2*m - 4. Which is the third smallest value? (a) 4 (b) 1\/6 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) be the second derivative of -1\/12*b**5 + 0 + 0*b**4 - b + 11\/2*b**2 + 1\/3*b**3. Let u(i) be the first derivative of p(i). Determine u(2).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -w - 6. Let s be m(-8). Suppose s*l - 4 = 2. Suppose l*q - 15 = -2*q. Let v(n) = -n**2 + n + 2. Calculate v(q).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 62529282?\nAnswer: 2, 3, 3473849","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 23 - 18 - (-2 - (-8 - -1))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -27.3 + 27. Let c be (-3 - -4) + 30\/(-8). Let l = 13\/4 + c. Sort -0.5, f, l in descending order.\nAnswer: l, f, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.6 (b) -0.2 (c) -3 (d) -1 (e) -7 (f) 4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 89*g. Let i(u) be the second derivative of -u**3\/3 + 7*u + 2. Determine i(h(o)).\nAnswer: -178*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -77 + 88. Suppose 0 = 14*j - 25*j + i. Let g(l) = -30*l**2 - 1. Determine g(j).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.71841 + 0.21841. Let k = -0.4 + 3.4. Sort -0.3, -1\/8, k, o in ascending order.\nAnswer: o, -0.3, -1\/8, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -5*d + 9. Suppose 0 = 5*p + 2*a - 602, -4*a = d*p + a - 245. Round p to the nearest one hundred.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -14194 or 45?\nAnswer: 45","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 789297.\nAnswer: 3, 307, 857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*g + 12*g = 2250. Calculate the remainder when 375 is divided by g.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -19081*k**2 - 33040*k wrt k?\nAnswer: -38162","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 27 - 25. Let s be (-145)\/(-345) + g\/(-6). Let p = -122 - -117. What is the closest to -2 in s, p, 3\/5?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8 - (-2 + -2 + 9)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -2, 0.5, 1\/5, 3.23, 1\/25?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -8*y + 3*y**2 + 8*y + 13*y**2 as o*y + c + h*y**2 and give h.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -8.15514 - 0.29026. Let u = -8.4 - h. What is u rounded to two decimal places?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 219201.5 weeks in microseconds?\nAnswer: 132573067200000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.02959562 to two dps.\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*d**2 - 234 + 237 + 31*d**2 as z*d + a*d**2 + s and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 45.248 - -17.752. Let b(j) = j - 9. Let k be b(8). Sort -1\/6, p, k in decreasing order.\nAnswer: p, -1\/6, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3332 at most -3332?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -14457.093505 to the nearest 100.\nAnswer: -14500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 0\/((-1)\/(2 - 3)). Let q(g) be the first derivative of -2\/5*g**2 + r*g + 1 + 2\/15*g**3 - 2\/25*g**5 + 1\/5*g**4. Factor q(a).\nAnswer: -2*a*(a - 2)*(a - 1)*(a + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 786352447 * -0.1\nAnswer: -78635244.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 134308459 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) be the second derivative of 200*v**7\/21 + 59*v**3\/6 + 4*v**2 - v - 426. Find the second derivative of i(w) wrt w.\nAnswer: 8000*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -5.564 to one dp.\nAnswer: -5.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 8778397*r**4 - 13501671.\nAnswer: 35113588*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(-4))**(-14)\/(c*c**(-1\/6)*c*c**0\/c))**(-3\/4) assuming c is positive.\nAnswer: c**(-331\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -2*c + 1. Let f(p) = -p**2 - 5878*p. Give f(w(v)).\nAnswer: -4*v**2 + 11760*v - 5879","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (2 - 3) + 0\/(-1). Let l be o\/2 - (-4)\/8. Suppose 2*t + 2*x - 21 + 3 = l, -5*x + 35 = 3*t. Solve -t*b - 10 = 3*z - 6*z, 0 = -4*z - 5*b + 25 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -r**3 + 8*r**2 + 2*r - 58. Calculate x(8).\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1230, 2190, 3172, 4188, 5250?\nAnswer: 6370","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -1.2 (b) -2\/15 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 6230084 to the power of 1\/3, to the nearest integer?\nAnswer: 184","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -486910, -973796, -1460682, -1947568, -2434454?\n\"Answer: -486886*h - 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**2*l)\/l**(-1\/9))\/(l*l**(-1)*((l**(1\/2)\/l)\/l)\/l) assuming l is positive.\nAnswer: l**(101\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 5481 and 99441?\nAnswer: 696087","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 1119413230 to the nearest one million.\nAnswer: 1119000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1\/2 (b) -0.0762 (c) 0.51\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 47300 or 331101\/7?\nAnswer: 331101\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -1, 31, -5 in ascending order.\nAnswer: -5, -1, 2, 31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9576\/144*(-32)\/(-56)?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*h - 106 = 15*h. Let b = -56 - h. Is 19 a factor of (b\/2)\/(4 + (-1525)\/380)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ukkju. Give prob of picking 1 j, 1 k, and 2 u.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express 14779*m**2 - 2 - 18*m + 3 - 14784*m**2 - 2 as k*m**2 + q*m + w and give q.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 1, x: 4, z: 2, c: 3, h: 1}. Give prob of picking 3 c and 1 x.\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 8.72677 to 1 dp.\nAnswer: 8.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(156)\/(sqrt(768) + sqrt(12)) + (sqrt(65)*-2)\/sqrt(5))**2 - -6*(sqrt(117) + -2 + sqrt(117))**2*-4)*2.\nAnswer: -1827622\/81 + 1152*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 83550 - 83548. Factor 1\/3*m**5 + 4*m**3 + 50\/3*m**x - 16\/3*m**4 - 77\/3*m + 10.\nAnswer: (m - 15)*(m - 1)**3*(m + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -16922.129204 - -66.429754. Let q = p - -16851.7. Let v = q + 4. What is v rounded to 4 dps?\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 174 at least as big as 3200?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1688244162?\nAnswer: 2, 3, 11, 25579457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 2*y**3 - 13*y**2 + 9*y - 13. Let s be v(6). Solve 4 = -j + s*j for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*c = 8*c - 3556. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.66 and 5.\nAnswer: -3.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -f**2 + 6*f + 9. Let v be (-1)\/2*(4 - 18). Let j be a(v). What is the first derivative of -j*b**2 - 2*b**2 + 3 + 3*b**2 + 2 wrt b?\nAnswer: -2*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 178 is divided by 78.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4\/5, -15, 8\/23.\nAnswer: -15, -4\/5, 8\/23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 58*a**3*w + a**3 + 2*a**2 + 12*w wrt a?\nAnswer: 348*w + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1101011 (base 2) to base 12.\nAnswer: 8b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 3*v - 46. Let d be l(16). Suppose -d*q - 452 = -2*m, 0 = -3*m + 2*q + 179 + 494. Is 21 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20112599.\nAnswer: 13, 53, 29191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -21614685, -21614684, -21614683?\nAnswer: -21614682","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -581 - -988. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*u - 3*u + 40. Let p be u\/((-9)\/((-9)\/2)). Factor l**5 + p*l**3 + 3*l - 7*l**5 - 10*l**3 + 9*l**5.\nAnswer: 3*l*(l - 1)**2*(l + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2594210503?\nAnswer: 23, 112791761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -60*q - 720 = 240 for q.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 7 - -60. Let z = -45 + t. What is the units digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 36 a factor of 27792?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = j**2 + 7*j + 7. Let i be g(-5). Let k be 0 + i + 3 + 3. Let b(t) = -t**3 + 5*t**2 - 4*t. What is b(k)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19708993 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5.743115g to micrograms.\nAnswer: 5743115","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m\/m**(-15)*m*m*(((m*((m\/m**(-1))\/m)\/m*m)\/m*m)\/m)\/m)\/(m**(2\/3)\/(m*m**(-13\/4))) assuming m is positive.\nAnswer: m**(193\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1\/4 or 0.588?\nAnswer: 0.588","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -7 + 13*p**2 + 6*p + 11 + 15. Suppose -351 = -13*c - 234. Is r(c) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/(-1)*(-14 + (37 - 5))?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/21403077 bigger than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1011 (base 3) in base 16?\nAnswer: 1f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -5*a + 7. Determine z(8).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -17122*g**2 + 2*g**3 + 8563*g**2 + 8560*g**2 + 1 + 770*g**4 to r*g + n + k*g**2 + a*g**4 + o*g**3 and give n.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9 - 198\/(-12) - 5.\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2104.225 to the nearest integer.\nAnswer: 2104","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*l**2 - l**5 - 3*l**2 + 9*l**5 + 6*l**5 + 4*l**5 + (3*l**3 - 3*l**3 - 3*l**3)*(l**2 + l**2 + 0*l**2) + 3*l**2 - 3*l**2 - l**5.\nAnswer: 11*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18 - (13 - 7 - (1 - -24)).\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -121*u**4 + 2*u - 455.\nAnswer: -484*u**3 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 7801518 to the nearest integer?\nAnswer: 198","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1 and 48964163.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 5 and 27655342.\nAnswer: 138276710","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in twenty-one fifths of a millennium?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = d**2 + 17547*d - 368947. Calculate w(21).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 + 5 + -2 + 11 - (24 + -1 + -1)?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.2 from -61514381.6.\nAnswer: -61514381.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 7.8375 to one decimal place.\nAnswer: 7.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 405*o**2 + 264*o**3 + 71*o**3 - 370*o**2.\nAnswer: 335*o**3 + 35*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 420*y**2 + 16803*y - 70. Give a(-40).\nAnswer: -190","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -682 - -1016. Suppose 2*l - 127 = -6*c + 7*c, -5*c - 107 = -2*l. Calculate the common denominator of -99\/10 and z\/(-36)*l\/308.\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 10*k**2 - 4*k + 15. Let i = 5 - -3. Is h(i) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -1699, -3391, -5063, -6709, -8323, -9899, -11431, -12913?\n\"Answer: y**3 + 4*y**2 - 1711*y + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -53*t - 2*d + 42 - 32 = -58*t + 37, -2*t + 6 = -2*d for t.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1\/(4\/9)*(-12 - -16). Suppose 0 = b*a - 178 - 74. Calculate the remainder when 587 is divided by a.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*a + 4*c + c - 4, -5*a = 2*c - 19. Suppose 0*r - 40 = 4*i - 4*r, -r = a*i + 26. Let q = i - -66. List the prime factors of q.\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1437 and 7664.\nAnswer: 22992","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -11*7*(-84)\/49. Let t = 22 + 2. Suppose 0 = -0*j + 2*j - t. Calculate the greatest common divisor of h and j.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (25*p**3 - 38*p**3 + 26*p**3)*(-5*p - p + 8*p - p).\nAnswer: 13*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (-30)\/(-405)*12\/(-2)\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -59 - -59. Let o(g) = g**3 - 2618*g**2 + g + 6 + 2618*g**2. Give o(b).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = u**2 + u + 1. Suppose -6*d + 14*d = 8. Let m(i) = -20*i**2 + 2*i + 2. Give d*m(p) - 2*v(p).\nAnswer: -22*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 6 - -3. Let b be 52\/(-2)*-1 + -8. What is the greatest common divisor of i and b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(468)*-3 + sqrt(468) + -5*sqrt(468)*3 + 1 + -1*(sqrt(468) + 2)*-5)**2.\nAnswer: -1872*sqrt(13) + 67561","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-z**2 + 0*z**2 - z**2)*(3*z**2 + 2*z**3 - 3*z**2) - 14*z**5 - 4*z**5 - 3*z**5.\nAnswer: -25*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 185 minutes before 7:47 PM?\nAnswer: 4:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or -138\/113141?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 54\/15*(630\/27)\/7. Solve -s = 4*g - g, 2 = 2*h - 2*g for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 595.1682 decades to years.\nAnswer: 5951.682","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1777?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 3*r, 2 = 2*b - 5*b + 5*r. Let x be -1*(b + (-6)\/1). Suppose 3*p + x*w - 34 - 24 = 0, -49 = -4*p - w. What are the prime factors of p?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b - 138012 = o, o - 3*b + 5*b = -138008. Round o to the nearest ten thousand.\nAnswer: -140000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -124790889 and -0.5.\nAnswer: -124790889.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/(6\/(-42) + (38\/285)\/(70\/12))?\nAnswer: 25\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -46.65 - -0.55. Let d = x - -53. Let m = d + -10. Round m to zero decimal places.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 18\/(-108) + 2678\/12. Let t = 376 - v. List the prime factors of t.\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 137\/346566 and -50\/2047.\nAnswer: 7971018","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1059*b - 20 = 1054*b for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/(-12)*11\/(-11).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l**2\/3 - 760837*l\/3 + 7608070 = 0. Calculate l.\nAnswer: 30, 760807","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 12\/9745?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -v**2 + 7*v - 9. Calculate m(4).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kk when two letters picked without replacement from nnnnnnnknnnnknk?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -164 - -167. What is the third smallest value in -3\/5, c, -0.2, -2\/17?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -6*o. Let r(l) = 535*l**2. What is r(u(z))?\nAnswer: 19260*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 805 - -143. Is (1\/(-3))\/((-4)\/d) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:05 AM and 6:58 AM?\nAnswer: 293","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 323, 31, -2.\nAnswer: -2, 31, 323","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) be the first derivative of -7*a**3\/3 - 151. Let z(y) = 2*y**2 + 71*y - 71*y + 4*y**2. What is z(d(r))?\nAnswer: 294*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 373 minutes before 9:32 AM?\nAnswer: 3:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r = 3*w + 42, 5*r + w - 4*w - 78 = 0. Suppose -r = 3*k - 5*k. Let d = 3 - -3. What is the highest common factor of k and d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-8723)\/(-2145) + (-2)\/30. Solve -i = -a, -t*i + 8*i - 5*a = 5 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1360 - 1356) + (1 - (-1 + 4)) + -9.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g + 4*l = 3*g - 34, 5*g = 2*l + 80. Does 11 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 1 d when two letters picked without replacement from {x: 8, i: 2, v: 6, d: 1, o: 1, q: 2}?\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (7 - 7 + 1)*(-4*z + z + 2*z) as u*z + h and give u.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 6*n**3 - 16*n**2 - 66*n - 20.\nAnswer: 2*(n - 5)*(n + 2)*(3*n + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*d**2*g**2 + 33515*d**2*g*i - 2*d*g*i - 2*d*g + 1230*g**2 + g wrt d.\nAnswer: -4*g**2 + 67030*g*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9 + (-18 - (-17 - -1))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t = -3*i + 2, 2 = 2*i + 8*t - 6*t. Solve -i*d = -4*f - 0*f + 2, 0 = 5*f - 2*d - 1 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-293907)\/3756 - 6\/(-24)\nAnswer: -78","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -161075 by -4.\nAnswer: 161075\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -2121212 (base 3) in base 6?\nAnswer: -12505","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -451019.1 rounded to the nearest 100000?\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that 38*z**5\/5 + 5398*z**4\/5 + 220874*z**3\/5 + 407402*z**2 + 663520*z + 33800 = 0.\nAnswer: -65, -10, -2, -1\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*c + a - 64, 0*a + 96 = -5*c - a. Let f be ((-54)\/4)\/1*(-2)\/(-1). Let i = 8 + f. Which is smaller: c or i?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 351436 and 3296.\nAnswer: 412","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 140 a factor of 53577165?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 107\/22 and -21\/718.\nAnswer: 7898","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 263, 260, 263, 278, 311, 368?\n\"Answer: j**3 - 3*j**2 - j + 266","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of 9791 and 1.\nAnswer: 9791","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1\/(-2)*(3 - 3). Suppose -3*b + 2*y - 14 = -5*b, s = 2*b + 5*y - 29. Suppose -5*c + 17 - b = 0. What is the units digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -5*w - 33. Let g be b(-7). What is the derivative of -8 - 61*z**2 - 2*z**2 - 29 + 15*z**g wrt z?\nAnswer: -96*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 12*p**2 - 63*p - 62. Let c be x(-1). Solve 0 = -4*z - o - 1 - c, -4*z + 2*o = 8 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 29309 is divided by 715?\nAnswer: 709","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -d - 3*j - 1, 3*d - j = d - 9 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v = 3*k - 135, -4*v + 29 = k - 24. Let n = -15 + 29. Solve 3*d + k - n = 4*b, 32 = -4*d + 4*b for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3087655 divided by -10?\nAnswer: 617531\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*d - 3*j + 14, 0 = 1357*d - 1360*d + 3*j - 15 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*v - 2*v + v)*(-v**2 + 9 + 33 + 2*v + 3*v**2).\nAnswer: -2*v**3 - 2*v**2 - 42*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 23206 and 4.\nAnswer: 46412","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + (sqrt(833) - (sqrt(833) + sqrt(833)*-1 + 3)))**2*-1 - ((sqrt(833) - -2*sqrt(833)*-6)**2 + 4*(sqrt(833) + sqrt(833) + -4 + sqrt(833))).\nAnswer: -101611 - 70*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) be the second derivative of 2*d - 1\/2*d**2 + 0 - 1\/6*d**3. Differentiate y(l) wrt l.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -25\/549 - 4\/61. Let t = 1.4 + -2.9. Let u = t - -1.3. Sort 9, j, u.\nAnswer: u, j, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -14126644 (base 7) in base 10?\nAnswer: -1318132","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 3010108 at most as big as 3010105?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -25*r**2. Let n(i) be the third derivative of -i**4\/6 + i**2 - 65. What is s(n(j))?\nAnswer: -400*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 12753600 rounded to the nearest one million?\nAnswer: 13000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 318859 to the power of 1\/3, to the nearest integer?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -28 divided by -661586?\nAnswer: 14\/330793","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -6, -98, -1, -2, -3 in decreasing order.\nAnswer: -1, -2, -3, -5, -6, -98","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -20022 (base 4) in base 12?\nAnswer: -376","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 483*x**6 - x**4 + 833*x**3 - 16609671*x**2.\nAnswer: 57960*x**3 - 24*x + 4998","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 9 and 44338851?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 + 7 + 15 - 915*o**3 - 25.\nAnswer: -915*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 15950728 divided by 7676\nAnswer: 2078","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-9)\/(-3)*(-12)\/(-18). Suppose g = -h*z + 87, -7*g + 134 = 3*z - 2*g. Let i = z + 45. What is the units digit of i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -5, -95 in increasing order.\nAnswer: -95, -5, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -1. Let q be (-2)\/((-2)\/(-5) + 0). Let w(a) = -14 + 8 + 7. Let p(t) = -t**2 - 3. Let d(o) = p(o) + 6*w(o). Calculate q*h(b) - 2*d(b).\nAnswer: 2*b**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 846834, 1693277, 2539720, 3386163, 4232606, 5079049?\nAnswer: 5925492","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5 + 27\/(-6) + (-177)\/(-2).\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -19+-2747481\nAnswer: -2747500","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y**5\/19 - 1012*y**4\/19 + 16714*y**3\/19 - 43088*y**2\/19 + 27384*y\/19 = 0.\nAnswer: 0, 1, 2, 14, 489","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2564.6 + 2267. Let t = 311 + m. Is t bigger than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 35, 63, 91, 119, 147?\n\"Answer: 28*o + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - 1 = -3*l - 12, 0 = 3*n - 2*l - 19. Suppose -5*i = -5*w + 9*w - 29, -3*i + 10 = -n*w. Is -1\/88 at most as big as w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5 + -3. Suppose 0*k = -h*k + 8. Suppose -k*z + 71 = 4*o - 9*z, 4*z - 4 = 0. What is the remainder when o is divided by 11?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16959016579 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 27*p**3 - 4*p + 4. Let t(a) = -2*a**3 + a - 1. Determine -2*t(i) - w(i).\nAnswer: -23*i**3 + 2*i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -31*x**3*z**3 + 16*x**3*z + 61*z**3 + z**2 wrt x.\nAnswer: -93*x**2*z**3 + 48*x**2*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -133*148903\nAnswer: -19804099","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000010231 rounded to seven decimal places?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11513?\nAnswer: 29, 397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) be the third derivative of -z**6\/15 + z**3\/6 + 5*z**2. What is the derivative of w(l) wrt l?\nAnswer: -24*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (21\/(-2233)*-11)\/(-3).\nAnswer: -1\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(192) - (2 + -5*sqrt(192))) - (-4 + -2 + -5 + sqrt(192) + sqrt(192)))**2.\nAnswer: -3360*sqrt(3) + 37857","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 386*m + 2. Let i be x(8). Let h be 4\/10 + i\/25. Calculate the common denominator of -103\/22 and 9\/(-6) - h\/6.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 69 = 3*z - 2*y + 77, -2*z + 3*y = 2 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 58657 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 4197935784?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -9130*l**2 - 1766 wrt l?\nAnswer: -18260*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -43365, -43611, -43855, -44097, -44337?\nAnswer: -44575","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*z + 463 - 120 - 77 + 494 to the form x + g*z and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (2010\/(-7035))\/((-8)\/7)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 290203 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 224120 and 4180?\nAnswer: 46841080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:12 PM and 5:29 PM?\nAnswer: 137","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 888*z - 900*z + 13897 + 84395. List the prime factors of z.\nAnswer: 8191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 m and 1 c when three letters picked without replacement from {c: 3, j: 1, k: 2, i: 5, m: 5}?\nAnswer: 3\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -137 at most as big as 5025?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*p**2 + 2*p**2 - 4*p**2 + (-5*p + 5*p - 2*p)*(2*p + 2*p - p) - 4 + 4 + p**2 + (-p**2 + 4*p**2 + 0*p**2)*(-6 + 17 + 9).\nAnswer: 53*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5756 + -46127\/8. Calculate the common denominator of 53\/72 and z.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + sqrt(17) + -3 + 4)**2.\nAnswer: 8*sqrt(17) + 33","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -1767, -3395, -4883, -6231, -7439, -8507, -9435?\n\"Answer: 70*n**2 - 1838*n + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: ((-12)\/5)\/(171\/570) + 15\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -30*(-4)\/(-4)*(-465)\/279\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -1164*y**3 - 2 - 4 + 1168*y**3 - 2*y**4 as q + l*y + g*y**3 + u*y**2 + m*y**4 and give m.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 40211323 + 1233?\nAnswer: 40213111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -u + 11*u. Let z be u\/((36\/54)\/((-4)\/18)). Let o(w) = -7*w. Let m be o(5). Sort m, z, 5 in increasing order.\nAnswer: m, z, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 13\/(-4)*80\/20.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find k such that -2*k**4 + 3068*k**3 + 14418002*k**2 - 14421068*k = 0.\nAnswer: -2026, 0, 1, 3559","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:24 PM and 5:23 AM?\nAnswer: 539","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 322\/(-42) + ((-4)\/(-8))\/((-2)\/(-16)). Suppose -2*t + 8 = 3*p + 2, -3*p = 4*t - 12. Let x = n + t. Which is smaller: x or 0?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find v such that -v**4\/2 - 3197*v**3\/2 - 1686275*v**2\/2 + 1492174721*v\/2 = 0.\nAnswer: -1823, 0, 449","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -852*g = -848*g - 2*w - 3784, 4*g - 4*w = 3780. Solve -g*c + 946*c = -4 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*d - 73 = 63. Solve d*v = 38*v + 180 for v.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-57054)\/(-56)*(-14)\/(-20). Let m = c - 716. What is the common denominator of m and 75\/56?\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -162, -27, -3, 0, -7, -1 in descending order.\nAnswer: 0, -1, -3, -7, -27, -162","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2.05 + 1.868. Let o = n - -0.582. Which is the nearest to 0? (a) -5 (b) -1\/8 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -18 - -21. Suppose 6*o - t*o + 22 = 5*m, m = -5*o - 18. Suppose 5*w - m*i = 27, -3*w + 2*i + 14 - 1 = 0. Solve -3*k - 1 + w = 0 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 563.\nAnswer: 563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 7545543883 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3\/2? (a) 0 (b) -9 (c) -2 (d) 3754\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -f + 9. Let i be k(6). Let w(v) = v - 4*v + 4 - i*v + 4*v - v**2. Determine w(-5).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 51507\/100 + -515. Calculate the common denominator of -87\/20 and t.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-40)\/200)\/((-5)\/10).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4117, -4094, -4071, -4048, -4025, -4002?\nAnswer: -3979","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) be the second derivative of 0 + 3\/4*q**4 + 0*q**2 + 9*q + 1\/10*q**6 - 9\/20*q**5 - 1\/2*q**3. Factor o(g).\nAnswer: 3*g*(g - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 1, o: 1, l: 1, f: 2}. What is prob of picking 1 r and 1 o?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 30b031 + 1b?\nAnswer: 30b04c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*sqrt(448)*-6 + -6*sqrt(28)\/sqrt(4) + sqrt(84)\/sqrt(192).\nAnswer: 361*sqrt(7)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -2*g**3 - 6*g + 6. Let s(d) = 4*d**3 + d**2 + 11*d - 11. Give 6*s(y) + 11*u(y).\nAnswer: 2*y**3 + 6*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1 - -3. Let w be ((-1)\/((-2)\/j))\/1. Let c be (-6 - 755\/(-100)) + (-10)\/(-200). Are w and c nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 7795\/510 - (-1)\/3. Let d = -31\/2 + o. Is -2\/7 > d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 1 = 3*k + 5, 2*x = 2*k + 4. What is the biggest value in -2\/3, 10, 4, x?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3757.4 + 3756.4. Let r = -1 - -1. What is the nearest to -0.3 in w, r, -0.4, 0.3?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*b - 10 + 22 = 0. What is the closest to 0 in -1\/9, -0.1, b?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*d + 2 = 2*z, 0 = 23*d - 48*d + 2*z + 54 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 47381*l = 47550*l - 338 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z + 535 = 5*s, 8*z + 8 = 4*z. Let x(c) = c - 214 + s - 51*c + 109. Let f(h) = -h**2. What is f(x(o))?\nAnswer: -2500*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*d = 2*d + 596. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 287 is divided by 13 + 3 + (-1128)\/(-8)?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1729032778.\nAnswer: 2, 11, 103, 257, 2969","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 781 - 318. Let t = -460 + d. Solve -1 = 3*p - 5*i, 0*p + 2*p + 1 = t*i for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 3, o: 10, k: 2}. Give prob of sequence kok.\nAnswer: 2\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 140 a factor of 124753954?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.3 and -23397978?\nAnswer: 7019393.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3619905?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 14.06 + -14. Let q = w + -5.06. Let x be 4\/(-6)*(-6)\/(-4). Which is the second smallest value? (a) 0.1 (b) x (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 0.149919ms?\nAnswer: 149919","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3789425.\nAnswer: 5, 41, 3697","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 13043 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 5*h = -97015, -12*t + 9*t + 3*h + 97023 = 0. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z and 2 q when four letters picked without replacement from qzqzqzzzzzzzzzc?\nAnswer: 11\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (2\/5)\/((-19)\/95*8)\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -159 + 314. Suppose 4*m - f = g, m + 2*g + 9 = 41. Calculate the remainder when m is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*j - 4*y + 1652, 2*y + 2081 = 5*j + 3*y. Suppose 2*d = -d + j. Let q = d + 16. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 3*k + k. Suppose 5*t + 2*n - 5 - 1 = 0, -5*t + 16 = -k*n. Solve 4*z + t = -2 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10101100 (base 2) to base 12.\nAnswer: -124","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 11*v. Let m(n) = 198*n. Let y(a) = -55*h(a) + 3*m(a). Let t(p) = -3*p. Give y(t(b)).\nAnswer: 33*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide -28000 by 224.\nAnswer: -125","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - -3) + (0 - 1) - (-1309 + 1321)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 3650565153 + -1?\nAnswer: 3650565152","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/41 or 19?\nAnswer: 2\/41","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*j + 154 = 674. What is the common denominator of j\/3 + 120 + -128 and 26\/(-12) - 1\/(-4)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -199*h + 199*h + 6*h**5 + 5*h**2 wrt h.\nAnswer: 360*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (1695\/2970)\/(0 - 13\/(-2)). Let p = 11\/117 + q. Factor -14\/11*s**3 - 8\/11*s**4 + 0 - 4\/11*s**2 + p*s.\nAnswer: -2*s*(s + 1)**2*(4*s - 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2293401 is divided by 34.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 694873687 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 divided by -2457?\nAnswer: -4\/819","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 5*x**2. Let c be k(-2). Let z(m) = -14*m + 2. Let a be z(-2). Let u = a - c. What is the units digit of u?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -2*q + 12. Let v be 0 + 5\/(-15)*-6 + 2. Let h be r(v). Put -7\/5, 0, h, 0.1 in decreasing order.\nAnswer: h, 0.1, 0, -7\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (24 - 13) + -6 - (-190 - -102).\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -2 + -4 + 3 - (6 + -4)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u + 2*o = 7, -30 = 5*u - 5*o - 10 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 9*r**4 + 229*r**3 - 77*r**2 + 35.\nAnswer: 216*r + 1374","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*w - w - 9. Is 1319\/(w\/(-6)*2) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 931 and 49?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o and 1 s when three letters picked without replacement from ssqoobovqvoq?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1923797.9917 + -1923942. Let p = -27.2 + 171.2. Let s = z + p. What is s rounded to 3 decimal places?\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -6*w**3 + 29*w**2 - 18*w + 2. Let s be z(4). What is the biggest value in 42, 0, s?\nAnswer: 42","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*s**2 - 3458385*s + 93378582.\nAnswer: -3*(s - 27)*(s + 1152822)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/11, -4, -1, 4, -11 in increasing order.\nAnswer: -11, -4, -1, -2\/11, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.429748 minutes in milliseconds?\nAnswer: 505784.88","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 3*t + 36. Let g be z(-8). Suppose 0*l - 2*n + g = l, 8 = l + n. Solve -3*o - 10 = 5*h, 0 = -2*h - 3*o + o - l for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -777*r + 2451. What is the lowest common multiple of q(3) and 450?\nAnswer: 1800","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -6 and -0.086.\nAnswer: 0.516","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.3667 + -5.6333. What is the closest to -1\/2 in -0.07, y, 8, 3\/7?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -36*t**3 - 35*t**3 + 1 + 66*t**3 - 3 + 2899*t.\nAnswer: -5*t**3 + 2899*t - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 27104 and 1633016?\nAnswer: 6532064","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 4 + 1 = 0. Suppose 2*u - 20 = -2*i - 2*i, 4*u - n*i - 27 = 0. Calculate the highest common divisor of u and 32.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2136 - -194. Suppose 5*o + 5807 = 10*o - 4*i, 0 = -2*o - 2*i + m. List the prime factors of o.\nAnswer: 1163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -736821 (base 9) in base 13?\nAnswer: -124516","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 54\/217 + -18335\/1302. Calculate the common denominator of u and -111\/10.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -52392, -209563, -471524, -838281, -1309840, -1886207?\n\"Answer: -o**3 - 52389*o**2 + 3*o - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2 - -2) + 1 + 2. Suppose -3*b - h = -b - 4, -b - q*h + 7 = 0. Solve -3*l - b = -2*l for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 17*a**2 + 69*a - 270. Let r be z(4). Solve -6*y + r - 260 = 0 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 69, 127, 177, 219, 253, 279, 297?\nAnswer: 307","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 57575872?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -68*u - 41 + 109 = 0 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is w in 4*w**5 + 1284*w**4 - 31116*w**3 + 182204*w**2 - 276216*w + 123840 = 0?\nAnswer: -344, 1, 6, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) be the first derivative of v**7\/21 + v**3\/6 + v + 3. Let q(j) be the first derivative of g(j). What is the second derivative of q(r) wrt r?\nAnswer: 40*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 27*a + 3. Let q be s(-5). Let l = -110 - q. Let n(u) = u**3 - 22*u**2 + 8*u + 33. What is the hundreds digit of n(l)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 30 + -29. Suppose 4*c = 3*q + 39 - 16, -c + q = -7. Let v(z) = z**3 - 3*z**2 + 6*z**c + m + 2*z - 4 - z. Give v(-3).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4977 is divided by 14?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nva when three letters picked without replacement from {u: 2, v: 2, r: 1, a: 1, o: 1, n: 1}.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -12 + (84490\/6375 - 12\/9)?\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0 + 2. Suppose 0 = f - t*h + h + 6, 3*h - 38 = 5*f. Let a = -7 - f. What are the prime factors of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = 4*o, -o + 16 = 5*m - 5. Let i(l) = 6*l + 9. Let y be i(m). What is the greatest common factor of 52 and y?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.06 (b) 5 (c) 847601\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -551*a - 9. Let i(r) = -245*r - 4. Let v(d) = 9*i(d) - 4*q(d). Let k(b) = 3*b**3 + b**2 + 6*b. Determine -k(c) - 4*v(c).\nAnswer: -3*c**3 - c**2 - 2*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 6 + 53?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -851 or 221\/698?\nAnswer: -851","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -55*d + 1660 - 10. Calculate the highest common factor of 140 and d.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -2*v**2 + 5*v**4 - 2*v**4 + v**4 - v**4. Let l(s) = -2*s**4 + 2*s**2. Let c(n) = 3*f(n) + 4*l(n). What is the third derivative of c(z) wrt z?\nAnswer: 24*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -616\/526543 smaller than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 4403 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 3\/15 - (-36)\/20. Solve -l*d + 1 = 5 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 2*d + 2*d. Suppose d*p - 24 = 4*j, j = -3*j. What is the units digit of p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 12403*q**4*t - 11217*q*t wrt q?\nAnswer: 148836*q**2*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2\/553 (b) 2 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find h, given that 5*h**3 - 2380*h**2 + 180005*h + 369570 = 0.\nAnswer: -2, 97, 381","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) be the second derivative of 3115*v**4\/12 - v**3\/3 + 831*v**2 - 873*v. Find the second derivative of b(i) wrt i.\nAnswer: 6230","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 110\/25 + -4 - (-7)\/20 - (-31997)\/(-28732).\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2373.88849 rounded to the nearest 1000?\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 31790612?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + sqrt(1053)*3 + (sqrt(1053) + 0)*-1 + -2 + 2.\nAnswer: -1 + 18*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -8 in -5, -434\/5, 1\/4?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 36*z + 323. Does 4 divide v(12)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 1\/3 (b) -1.08 (c) -2\/263 (d) -30\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -c**3 - 3*c**2 + 14*c + 18. Is 13 a factor of j(-7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -22 + 14. Let l(y) = -16*y. Let b be l(-1). Let g = b + o. What is the units digit of g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -68278421 or -68278419?\nAnswer: -68278419","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 21*i + 12. Let m(s) = 10*s + 7. Let w(j) = 4*f(j) - 7*m(j). Suppose 3*c - 4*n - 4 = 11, 3 = -n. What is w(c)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*a**6 + 2*a**4*w + 12*a**3 - 2*a**2*w - 2*a**2 + 143*a - 2*w wrt a.\nAnswer: -360*a**3 + 48*a*w + 72","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4110, 8223, 12338, 16455?\nAnswer: 20574","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:53 PM and 7:21 PM?\nAnswer: 328","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = v**3 + 12*v**2 - 108*v - 126. Give q(-18).\nAnswer: -126","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 609019350 to the power of 1\/2, to the nearest integer?\nAnswer: 24678","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -7*14\/245*10?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 142033861?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 2*p + 6. Calculate the remainder when u(14) is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 3, s: 7, i: 8}. Give prob of sequence iuuu.\nAnswer: 1\/1530","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 108*d - 16*d - 1472 = 0. Solve 0 = 4*a - d, a = 4*j - 33 + 49 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 226974233?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = q**3 - 4*q**2 + 5*q - 4. Let l be s(3). Suppose -l*y = -6*y + 36. Suppose -4*n + y*n = 105. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -z**3 + 44*z**2 - 37*z + 16. Let j be y(22). Suppose 10*s - 9*s + j = 0. Round s to the nearest 1000.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 308512418 and -0.078.\nAnswer: 308512417.922","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1\/3, 1\/9, 4, 3\/7?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -14\/173 - 5665\/17646. What is the common denominator of 27\/86 and c?\nAnswer: 4386","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1884957 = -24*u + 94*u - 1389433. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 43 at least as big as -698\/95?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.1 - 0.3. Let v = -0.006 - 5.494. Let o = -5.4 - v. What is the third smallest value in s, o, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 2, v: 8, j: 2, x: 1, p: 4, m: 2}. Give prob of picking 2 m and 1 x.\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 685, 2810, 6351, 11302, 17657, 25410, 34555, 45086?\nAnswer: 56997","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 88 divide 188848?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/(-2))\/(((-61)\/42)\/61).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -89 = -4*l - 9. Suppose j - 5*q - 15 = 3*j, 2*j - 2*q - l = 0. Which is the third smallest value? (a) -5 (b) 0.3 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-7 + 4 + 0 - -2) + 3\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 174 + 177 - 526 - 28*y**2 + 175.\nAnswer: -28*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 18.35 - 21.584. Round s to one dp.\nAnswer: -3.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -3, -26, -45, -60, -71, -78?\n\"Answer: 2*j**2 - 29*j + 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3856171.\nAnswer: 11, 350561","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 33 and 509765839.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.073? (a) 5 (b) -4659 (c) 2 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ggfg when four letters picked without replacement from gmfmggffffg?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.002669293 to 5 dps.\nAnswer: -0.00267","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -1228*g + 13. Let s(b) = 3*b**2 - 17*b. Let r be s(6). Let d be z(r). Let o = d - 3345. What is o rounded to the nearest 1000?\nAnswer: -11000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 25408 is divided by 462?\nAnswer: 460","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 66913501 a multiple of 99?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-437)\/(-966) + 6\/(-21). What is the closest to -2\/3 in y, 6, -0.4, -0.06?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1128387217 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 + 26*g + 1 - 2*g**3 - 24*g as v*g + d + a*g**3 + b*g**2 and give a.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 176 divided by 88?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve y - 123 = -118 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 5 - (13 + (-24 - (30 - 10)))\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j - 8612 + 8635 = c, 7*j = 2*j + 95 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x - 4*q + 445 = 433, -2*q + 2 = -3*x for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 1529133, 1528794, 1528457, 1528122, 1527789, 1527458, 1527129?\n\"Answer: s**2 - 342*s + 1529474","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 136 and 66334?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 435 a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = -k + 3*u + 22, -u = -5*k - 46. Let q be 15\/(-36)*4\/k. What is the biggest value in 0, q, -1\/2?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 6\/27 + (-32)\/225. Let s = -10.6 + 11. What is the second smallest value in -1, s, k, 0.06?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -70 and -647374.947?\nAnswer: 647304.947","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(0 - -2) - (29 + -29)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 30969 divided by 21917\nAnswer: 999\/707","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 582*u**3 - 967*u**3 + 0 + 3 + 380*u**3 - 3.\nAnswer: -5*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1)\/9 - 3\/27. Is 1 less than or equal to a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4.286194mg to kilograms.\nAnswer: 0.000004286194","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*(i\/i**(-2\/15))\/i)\/(i\/(((i\/i**(-12))\/i)\/i))*(i*i**(-2\/39))\/i**(4\/3) assuming i is positive.\nAnswer: i**(2096\/195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -11404 less than 32?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l - 2*l = 0. Suppose -13*d + 8*d + 805 = l. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1.8 + -2. Let d = -0.5 - s. Let w = d - 0. Which is the third smallest value? (a) w (b) 1 (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 21 + -26. Let p(i) = -i**3 - 4*i**2 + 5*i - 2. Let x be p(n). Let b be (-9)\/6*(-4)\/x. Let t(d) = 3*d - 2. What is t(b)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -186*s**5 + 4130*s**3 + 14011803*s wrt s.\nAnswer: -3720*s**3 + 24780*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1051*l - 1572*l - 27193 = -904*l for l.\nAnswer: 71","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000055784 to 7 dps.\nAnswer: -0.0000558","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10431210 is divided by 3271.\nAnswer: 3262","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -980*h - 1002*h - 12532 = -1741*h for h.\nAnswer: -52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-4)*l*l)\/(l*l**8*l)*(l**(-1\/3)*l*l)**(-2\/199) assuming l is positive.\nAnswer: l**(-7174\/597)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 223 is divided by 38.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 23903 or 23902?\nAnswer: 23902","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**3*a)\/a*a*a\/(a*((a\/a**3)\/a)\/a)*a**(1\/9)*a*a\/(a*a**0))**25 assuming a is positive.\nAnswer: a**(2050\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wcwn when four letters picked without replacement from {c: 4, n: 1, w: 9, g: 2}.\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 10*y - 15. Let k be s(-6). Let n = -54 - k. Suppose 3*z + z + 2 = -2*p, 12 = -4*z - 4*p. Solve -r - z*x + 7 = 0, -4*x = -2*r - 3*r - n for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32 + 12 = -4*n. Suppose 0*f - 4*f + 47 = 3*g, -n*f + 65 = 5*g. Suppose 10 = j + 4*r - f*r, -r = 2*j - 20. Solve 0 = 3*d + j + 2 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4779\/11 + -435. Let h = -2083 + 10399\/5. Find the common denominator of h and n.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:45 PM and 10:15 AM?\nAnswer: 690","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 9*g**3 - 3*g**2 - 3. Let n(a) = -9*a**3 + 2*a**2 + 4. Let r(f) = 3*n(f) + 4*s(f). Find the third derivative of r(o) wrt o.\nAnswer: 54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 15 = -1. Suppose 13*a - 77 = 12*a. Calculate the highest common factor of b and a.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) be the second derivative of 3*o**7\/70 - 7*o**6\/120 - 7*o**5\/40 + o**4\/4 + 7*o**3\/6 + 8*o. Let c(m) be the second derivative of u(m). Factor c(x).\nAnswer: 3*(x - 1)*(3*x + 2)*(4*x - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*t**2 + 163*t - 110.\nAnswer: (t + 55)*(3*t - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2*(-1 - (-14)\/4). Does 12 divide -4 + b + 24 + 1?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 56 and 949678856.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (-2*(sqrt(2448) + 1 + -2 + sqrt(2448) + sqrt(2448) + sqrt(2448) + -1 + -5)*-2 + -1)**2.\nAnswer: -11136*sqrt(17) + 627534","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*a + 3*i - 18 = 0, -2*a + 0*i = -2*i + 8 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -46\/1327845 and -29\/480.\nAnswer: 42491040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.05 or -134?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 427*p**2 - 1283*p**2 + 425*p**2 + 433*p**2 + 0 + 0.\nAnswer: 2*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = 4 + 4. Suppose -2*p - t = 2*p + 11, -5*p - t - 13 = 0. Let i be 40\/(-15) - -5 - (3 + p). Which is the nearest to 0? (a) 18 (b) i (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h = -5*z, -4*h + 3*h = 5*z. Let r(f) = -3*f**3 + f. Let x be r(-1). What is the derivative of 6 - 5 + z + x*k wrt k?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/616*-406*-11\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -10.91 + -0.09. Let j = z - -11.16. Let m = j + -0.159893. Round m to 5 dps.\nAnswer: 0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-90*y + 167*y + 78*y)*(0 + 1 + 4) as v*y + o and give v.\nAnswer: 775","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 17\/2 of a litre?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (564\/30)\/(3\/15) is divided by 24.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 6*m = -3*m - 18, 2*z = -5*m + 19. Does 12 divide ((-17)\/3 + -3)*z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1800 and 590?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 133221211 (base 4) to base 2\nAnswer: 11111101001100101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) be the third derivative of -f**6\/40 + f**5\/20 + f**4\/4 + 4*f**2. Let g(y) = 0. What is y?\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 50, 2, -3, 0, -796 in ascending order.\nAnswer: -796, -3, 0, 1, 2, 50","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -55.5600006 - -55.342. Let q = s - -0.218. Round q to six decimal places.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -l**2 - 9*l. Let k be a(-10). Suppose -t - 75 = 2*t. Let w = k - t. Calculate the greatest common factor of 30 and w.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 790 is divided by 736?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*c**2 + 216*c - 213.\nAnswer: -3*(c - 71)*(c - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*n - n + 162. Suppose 6*f + 5*y = 101, f + 0*f - 4*y - 12 = 0. What is the units digit of n\/(12\/f*-2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 17052*y**2 + 46522 wrt y.\nAnswer: 34104*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1499.143 or -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 30212?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + 26 = -5*k - 14, 3*k + b + 40 = 0. Let d be (-12 - 0)\/(18\/k). Differentiate d - 36*x**2 - 26 + 8 - 21 with respect to x.\nAnswer: -72*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m*m**(-7\/8)*m**(10\/9) assuming m is positive.\nAnswer: m**(89\/72)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1111100011000010 (base 2) to base 12.\nAnswer: 30a2a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = u + r, -3*u + r + r - 22 = 0. Suppose b = -3*b. Sort 2, b, 1, u in decreasing order.\nAnswer: 2, 1, b, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (147*x**2 + 1249 - 1249)*(-6 + 6 + 5)*(-11*x**3 - 64*x**2 + 64*x**2).\nAnswer: -8085*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 55017622 to the nearest integer?\nAnswer: 380","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -450*y**3 - 2370*y**2 - 608*y - 40.\nAnswer: -2*(y + 5)*(15*y + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + y = 2, -6*x - 4*y = -x + 1. Let g be (1\/x)\/(2\/(-6)). Let s be g\/(-4)*-1*-4. Sort -0.4, 4, s in decreasing order.\nAnswer: 4, s, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 23 (b) -0.1 (c) 8536\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 25 and 15825?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wf when two letters picked without replacement from {f: 1, h: 5, u: 2, y: 2, q: 2, w: 1}?\nAnswer: 1\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p - 182*x + 11 = -187*x, p + 3*x + 1 = 0 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-six fifths of a century in years?\nAnswer: 920","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 652154?\nAnswer: 2, 17, 19181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 80 + -92 - (3 - 29)\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f + 5*a = -2, -5*a - 2 = 2*f + 4. Let r be (-103)\/(f\/(3 - 1)). Let l = r + 155. Is l a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 9*s**2 + 2*s + 7. Give v(-3).\nAnswer: 82","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -140d + 5?\nAnswer: -1408","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 214\/5 + -861\/20. Which is the closest to o? (a) 0.2 (b) -1\/2 (c) -3\/7 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -10*c**3 - 9*c**2 + 4*c + 11*c**3 - 6*c + 12 - 17*c. Let a be g(12). Factor a*s**3 + 340*s**2 - 3*s**5 + 5*s**5 + 36*s**4 + 92*s**2.\nAnswer: 2*s**2*(s + 6)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*v**3 - 3309*v**2 - 914109*v - 910803.\nAnswer: -3*(v + 1)*(v + 551)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = i**2 - 5*i + 23. Give h(4).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -3 - (3 + (-3 + 2 - 7))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -2*f - 28 + 0*f - 32 + 60. Let d(o) = -59*o + 3. Determine a(d(i)).\nAnswer: 118*i - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 6879225 take away 0.59224?\nAnswer: 6879224.40776","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 6 - 3. Suppose 0 = 6*d - 0*d - 24. Let o(b) = d*b + b**3 + b - b - 3*b**2 - 3 - 2*b. Calculate o(r).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -13431 - -13430.983. Which is the fourth biggest value? (a) 1 (b) 0.4 (c) 4 (d) n (e) 2\/7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 530 minutes before 5:00 PM?\nAnswer: 8:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33*v + 150 = -3*v for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 498083 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 49776028.\nAnswer: 2, 12444007","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1 - -3. Suppose 0*o = a*o - 62. What is the tens digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.03400078 - -0.034. What is x rounded to 7 dps?\nAnswer: -0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1715529 is divided by 2309.\nAnswer: 2251","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:44 PM and 6:55 PM?\nAnswer: 371","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.29 plus -0.0322?\nAnswer: 2.2578","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 166 is divided by 9?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -18 + 34 - 16 + 19*s as t*s + j and give t.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 2, w: 1, e: 1, i: 3, l: 1, b: 11}. What is prob of sequence iw?\nAnswer: 1\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 7.52 - 7.42. What is the biggest value in -0.3, q, -4?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) be the first derivative of 40*m + 0*m**2 + 121 - 2\/3*m**3 + 7\/4*m**4. What is the derivative of x(t) wrt t?\nAnswer: 21*t**2 - 4*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*z - 6086*a + 12168*a - 6079*a = -33, -11*a - 52 = 5*z + 29 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3018 and 116193.\nAnswer: 232386","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 + 3*r**3 + 1 - 2*r**3 - 7*r as a*r**3 + o*r + b*r**2 + i and give o.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -41\/8 and 802\/1920 + (-10)\/(-150).\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1252522 (base 9) to base 7\nAnswer: 5546555","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mmppmpmpppmpp. What is prob of sequence pmmm?\nAnswer: 4\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -384 + 490.2. Let y = w + 2.8. Let f = y - 108.9445. Round f to 3 dps.\nAnswer: 0.056","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 19088?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 209 minutes after 12:14 AM?\nAnswer: 3:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 178577619?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sum 4.947 and -1199.\nAnswer: -1194.053","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 1832a (base 13) to base 8\nAnswer: 133130","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-k**3 + 43*k - 100*k + 44*k)*(-3*k + 5*k - k).\nAnswer: -k**4 - 13*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide -7132860 by -5508.\nAnswer: 1295","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -1\/10650 and 58\/21.\nAnswer: 74550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 3*f**2 - 5*f + 5 - 6*f**2 + 2*f**2. Suppose 30 + 10 = 5*r. Let y(c) = 2*c**2 + 8*c - 8. Determine r*j(o) + 5*y(o).\nAnswer: 2*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 7*a - 2. Calculate the remainder when 8 is divided by d(1).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/9)\/((-10)\/120).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/((m*m\/m**(2\/31)*m)\/m*m))\/(m\/(m\/m**(-1\/2)*m)))\/(m**(3\/5)\/m**(-2\/7)) assuming m is positive.\nAnswer: m**(-2867\/2170)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d + 4 = 0, -3*c + 6*d - 45 = d + 85 for c.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -432 - 14?\nAnswer: -446","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2224243 is divided by 25.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Express -3*x**3 + 2*x**3 + 17 - 4*x**2 - 15 - 2*x as q*x**2 + p*x + i*x**3 + r and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 5466621 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2729\/4655 - 24\/245. Let l = x + 181\/209. Factor l*t - 2\/11*t**3 + 0 + 0*t**2.\nAnswer: -2*t*(t - 1)*(t + 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 23.6 to the nearest ten.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -597, -262, 4 in descending order.\nAnswer: 4, -262, -597","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tyttytwwy. What is prob of picking 1 t and 1 y?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -1.07+241\nAnswer: 239.93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 1, o: 5, n: 6, c: 5}. What is prob of picking 2 c, 1 s, and 1 o?\nAnswer: 5\/238","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.05 - 0.05. Let q be 2\/2 + 2 - 1. Are q and a unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(833) + 3 - 6*(sqrt(17) + -2))*1 + -5)**2.\nAnswer: 20*sqrt(17) + 117","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/(-54))\/(-4*(-1)\/12)?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.2078 and 0.3.\nAnswer: 0.06234","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -4*o + 7. Suppose 0 = -2*v + 3*w + 119, v - 3*v - 2*w = -104. Let j = v + -16. Suppose -j = -8*k + 1. What is g(k)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-26)\/42 - (-2)\/7. Which is greater: 5\/6 or g?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 800 a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -40 + 23?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -34.985 + -0.015. Let o = y - -33.3. Let u = o - -1.70000014. Round u to seven decimal places.\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = c**2 + 5*c - 2. Let w = -94 + 99. Suppose 17 - 23 = l + s, -5*l = -w*s + 20. Determine h(l).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -3*u**2 + 1. Let q be i(1). Let w be 268\/42 + q\/(-7). Is 6 greater than or equal to w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 3*w**2 - 2*w + 1. Let y be h(5). What is the highest common factor of y and 33?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 3*y + 2. Let g = y + 5. Suppose 3*m = -2*m - g*j + 45, -4*m - 5*j = -23. Is 6 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(-2 + 3 + sqrt(15)\/sqrt(5) - (sqrt(48)*-3 - (sqrt(21) + sqrt(42)\/sqrt(2))\/sqrt(7)))*-4*-6*1.\nAnswer: 48 + 720*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1f - 91?\nAnswer: -b0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -507 = -5*k + 5*w - w, 3*k + w = 311. Let t(r) = 17 - 6 + k*r - 7 - 9. Is t(4) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -71 + 128. Suppose -3*q + l = -4*d, 3*q + 5*d + 11 = 95. Solve 0*o + 4*o + q = -h, -2*o + 5*h + 5 = 0 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -12*z**2 - 30*z + 4. Determine u(-3).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -0.3 (b) -70 (c) 3\/5 (d) -47 (e) 3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2 (b) 5 (c) -0.3 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 24540\/11452*(-1)\/6*-7?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z**2\/2 - 72*z + 3465\/2 = 0.\nAnswer: -165, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -34207.8174 rounded to the nearest 10?\nAnswer: -34210","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hweqy. Give prob of sequence ewq.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 93 + -5 - (279 + -313 - (-20 - 0))\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -9*z**3 + 727*z**2 + 2418*z + 1570. Give x(84).\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2498683067 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -k**2 - 22*k + 53. Let g be p(-24). Suppose -5*h - x = -7555, g*h - 3*x - 7545 = -2*x. What is the tens digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 9*i**2 - 13*i + 21. Let z(c) = 4*c**2 - 7*c + 10. Let o(p) = -3*b(p) + 5*z(p). Find the first derivative of o(h) wrt h.\nAnswer: -14*h + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 7701*o**2 - 1047*o - 2?\nAnswer: 15402","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*w = 6 - 24 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 13 + -11. Suppose t = -y*t + 105. Let b = 44 + t. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.06 + 0.1. Let k = h + -1.44. Let s = k + 0.4. What is the closest to s in 4, -0.5, -2?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 8164 and 156?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-8 + 7 + 4)*(1 - 1 - 18*w) + w + 2*w - 2*w + (2*w - 5*w + w)*(-3 + 3 - 1))*(-w - 2*w + 2*w).\nAnswer: 51*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Let s be 1 - 27\/(-7) - 27\/(-189). Suppose 5659 = 2*r + r + i, s*i - 9415 = -5*r. Suppose 1944 + r = 8*o. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 1159*y**2 + 2758 wrt y?\nAnswer: 2318*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9*20\/(-150)*15.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 8 or -1258?\nAnswer: -1258","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -117 + 128.1. Let v = -14.1 + l. Is -2 at least as big as v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - 3 - (513 + -530)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + 1*(sqrt(637) + -2 + sqrt(637) + -1 + sqrt(637) + sqrt(637) + sqrt(637) + sqrt(637) + 1))**2.\nAnswer: -84*sqrt(13) + 22933","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -512280\/23 less than or equal to -22274?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 375204.\nAnswer: 2, 3, 31267","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 151, 294, 437, 580, 723?\nAnswer: 866","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4 + 4. Let f = 19\/37 - -959\/222. Let h = -157\/30 + f. Sort -0.2, d, h.\nAnswer: h, -0.2, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vkj. Give prob of sequence jv.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((72\/(-198))\/(-5*(-10)\/(-825)))\/(20\/(-5)).\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.1*-0.13.\nAnswer: -0.143","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uvq. What is prob of sequence qvu?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*g**2\/7 - 10*g\/7 + 24 = 0.\nAnswer: -21\/4, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) be the third derivative of k**5\/20 - 3*k**2. Let v(l) = -2*l**2. Give x(v(m)).\nAnswer: 12*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 - 1 + 122*p**3 + 1.\nAnswer: 122*p**3 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 25233 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/11? (a) 1\/3 (b) 24 (c) -26 (d) -2\/19 (e) -0.6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 * 49.8\nAnswer: -14.94","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 3*r**2 - 8*r + 12. Let s be z(3). Solve 5*y - 3*m = y + s, y - m = 5 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of ((-7668)\/(-3))\/4*(-1)\/(63\/(-14)) and (-6)\/((-6)\/(-9) - 1)?\nAnswer: 1278","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -48 + 8. Let h be (a\/(-3))\/((-28)\/(-126)). What is the greatest common divisor of h and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 27.85528 to zero decimal places.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -300002 - -10?\nAnswer: -244442","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8932234, 16, -2.\nAnswer: -2, 16, 8932234","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -122 and -20.5?\nAnswer: 101.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -13*2\/(21\/(42\/4))?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in u**2 + 10*u**2 - 4*u + 0*u**2 - 8*u**2.\nAnswer: 3*u**2 - 4*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*h + 26 = 16*h + 62 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -4 - -2 - 252\/(-6). Suppose 5*y = -5*g + i, 6*g - g = 3*y + 8. Suppose -2*u + 4 = -y. Calculate the remainder when 10 is divided by u.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 286 minutes after 11:25 AM?\nAnswer: 4:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 137917312 to the power of 1\/2, to the nearest integer?\nAnswer: 11744","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 2 t when three letters picked without replacement from dtikkkkkkidddtdkdk?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 74659 and 26?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 153 = 7*b. Calculate the remainder when 32 is divided by b.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) be the second derivative of 0*z**3 + 0*z**2 + 9\/4*z**4 + 1 - 34*z. Let b(d) = d. Calculate b(m(h)).\nAnswer: 27*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 4478 and -0.06.\nAnswer: -268.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 371218?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8231?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*z**2 + 14*z**3 + 6*z**2 + 90606*z - 90607*z + 2 to l*z**3 + r + i*z**2 + h*z and give h.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4125 and 4678950?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -10.8 - 0.2. Let u = v + 12. Which is smaller: u or 6?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + 9 = 3*u, -8 = -g + 5*u - 6*u. Find p such that -13*p**g - 27*p**3 - 9*p**4 + 4*p**4 - 5*p**4 + 5*p**5 = 0.\nAnswer: -2, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-5 + 31)\/(-13))\/((-45)\/(-6) - 1)\nAnswer: -4\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) be the third derivative of -11*v**5\/30 + 3*v**2. Let y(d) = 9*d**2 - 109*d + 16. Let f be y(12). Let a(m) = 6*m - f*m**2 - 6*m + 5*m**2. Give a(x(l)).\nAnswer: 484*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*n + 8 + 8. Suppose -n = -k - 4*j, 0 = k + 2*j - 5 + 1. Suppose -k*y = -3*r - 31, -4*y - 4*r + 20 = -4. What is the units digit of y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 145301 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*d - 58 + 1787 = 0. What is the highest common factor of d and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-39628*q - 2*q**2 + 167 - 546 + 39628*q)*(-4 + 0 + 2).\nAnswer: 4*q**2 + 758","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 55*o**3 + 4*o - 1. Let g be y(2). Let h = g + -220. Does 22 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1241 is divided by 116.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -g**2 - 5*g + 3. Let y be n(-5). Let t(s) = s**2 - 7*s - 1. Let j be t(7). Which is the closest to 0? (a) -6 (b) j (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(396)*6 - sqrt(132)\/sqrt(3))**2 + (sqrt(77)*-3*1 - sqrt(77))\/(sqrt(49)\/(1*sqrt(7))).\nAnswer: -4*sqrt(11) + 12716","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 29 + 8 = 0. Let y be -2 - (-1 + 1232\/(-2070)). Let h = -1\/207 - y. What is the third smallest value in h, f, 2?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -4*c**2 - 3*c. Let g(y) be the first derivative of 0*y**2 - 4\/3*y**3 + 153 + 0*y. Determine g(j(o)).\nAnswer: -64*o**4 - 96*o**3 - 36*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 19 = -c - 6, 10 = -2*c. List the prime factors of (q + -1)*(-19 + 31).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -87 - -76. Let i(l) = -l**3 - 12*l**2 - 6*l + 10. Calculate i(n).\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -44\/2295 and 4\/25677.\nAnswer: 2182545","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 10448 >= -1\/6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-3\/11)\/j**1*(j\/((j*j**(3\/7)\/j)\/j))\/j**(2\/5))\/((j**(-2\/21)\/j)\/(j\/(j\/(((j*j*j**3)\/j)\/j))))**(2\/27) assuming j is positive.\nAnswer: j**(6301\/31185)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iiqkrqqrqqiqrkrqrkr. Give prob of sequence qk.\nAnswer: 7\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}