{"text":"Question: Let u(k) = -5 + 4923*k**2 - k + 0 - 4924*k**2. What is u(0)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 59703\/14*(-4)\/(-6). Let f = o - 1948. Suppose -q = 5*n - 454, 0 = 2*q - 0*n - 3*n - f. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -55 + 66 + -2 + -7 + 1?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 6.0677 rounded to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 10 + 0. Calculate the greatest common divisor of q and 40.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -225*p**2 + p + 1 + 74*p**2 + 81*p**2 - 8*p**4 + 77*p**2 to z*p + t*p**3 + q*p**2 + y + s*p**4 and give y.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6 = s - 4. Let g be (s - 6)*90\/(-8). Let d(h) = h**3 - 3*h**2 + 4*h - 2. Let o be d(3). What is the greatest common divisor of o and g?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 6.6, -0.5, -16, 1\/2, 1.11, -3 in descending order.\nAnswer: 6.6, 1.11, 1\/2, -0.5, -3, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Put 2241, 3, 16, -191 in descending order.\nAnswer: 2241, 16, 3, -191","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from jjjbbbsjjbjjbjsj. Give prob of picking 2 s, 1 j, and 1 b.\nAnswer: 9\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Expand -604*q**2 - 388*q**2 + 716*q**2 + (-2*q + 0 + 0)*(0 + 0 + q) - q**2 + 1 - 1.\nAnswer: -279*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 13107971231 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of -10009, -20093, -30183, -40285, -50405, -60549, -70723, -80933?\n\"Answer: -y**3 + 3*y**2 - 10086*y + 75","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let h(r) = 4*r + 5. Let g(s) = -2*s - 4. Give 3*g(z) + 2*h(z).\nAnswer: 2*z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: ((-2416)\/(-2718))\/((-6)\/27)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Express 20*b**4 + 2*b + 71736*b**2 - 143471*b**2 + 2*b**3 + 22 + 71733*b**2 as a + k*b**3 + s*b**2 + q*b**4 + u*b and give a.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 45978 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1\/2?  (a) 1  (b) -6  (c) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -3 - -5. Let k = 55 - 369. Let c = k - -314. Solve c = a - s for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -6?  (a) 21  (b) 43  (c) -19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"}
{"text":"Question: Simplify k*k\/(k*(k*k*k**(-2\/25)*k)\/k*k*k*k)*k**(-8\/5)*k*(k**6*k*k)\/k*k*(k*k\/((k**7*k)\/k))\/k assuming k is positive.\nAnswer: k**(-63\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Round 12.3050896 to zero dps.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (3 - 2\/((-16)\/(-44))) + 3.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-10*z + 10*z - z**2)*(4*z + z - 4*z) - z**3 + 3*z**3 + 3*z**3 - 2*z**3 + 5*z**2 - 5*z**2 to c*z**3 + r*z**2 + a*z + m and give c.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: 1408327 times -0.101\nAnswer: -142241.027","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(18) - sqrt(162)\/(sqrt(9)*5))\/sqrt(6) - sqrt(12)\/(sqrt(48)\/(sqrt(48)\/sqrt(4))).\nAnswer: -sqrt(3)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 44916 and 52796?\nAnswer: 3009372","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 14 a factor of 2598?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 19\/5 and 61\/427*(-1694)\/12.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(i) = -i**3 + 6*i**2 + 3*i - 2. Suppose 0 = -4*z - 10 - 6, 0 = 2*p - 4*z + 240. Let s be 2\/3 - p\/24. Give c(s).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3 + 2*o - 3)*(2 - 3 + 3) + (3 + 4 - 5)*(10 + 61*o - 10) + (-o - 2*o + 4*o)*(-1 + 3 + 0).\nAnswer: 128*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 4357361 is divided by 167.\nAnswer: 164","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let x(d) = 37*d**2 - 45*d - 15. Let n(w) = -38*w**2 + 38*w + 14. Calculate 7*n(y) + 6*x(y).\nAnswer: -44*y**2 - 4*y + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 2657090, 2657089, 2657078, 2657051, 2657002?\nAnswer: 2656925","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 s and 2 o when four letters picked without replacement from {o: 3, s: 4}?\nAnswer: 18\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 3 a factor of 1316358?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: -238192 (base 12) to base 4\nAnswer: -2030013332","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 12648863\/2598 + 927\/433. Let g = -4887 + j. Find the common denominator of g and -59\/5.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 151003 and 3973?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let k(h) = 4*h**4 + 18*h**3 + 74*h**2 + 6*h - 390. Let j(r) = -9*r**4 - 39*r**3 - 147*r**2 - 13*r + 780. Let z(g) = 6*j(g) + 13*k(g). Differentiate z(l) wrt l.\nAnswer: -8*l**3 + 160*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 14 - 9. Let g(x) be the second derivative of x**4\/3 - 3*x**3 + 2*x**2 + 386*x. Let i be g(k). Solve 5*a = 4*h - 31, 5*h = 2*a - 4*a + i for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 47755843 and 43?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Convert -cb61b (base 15) to base 7.\nAnswer: -5330246","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 37\/772212 and 23\/33.\nAnswer: 8494332","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve -23*s - 22*s = -18*s - 324 for s.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let r(h) = -h**3 - 4*h**2 - h + 25. What is the remainder when r(-5) is divided by 27?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 41093367 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 3642524.\nAnswer: 2, 910631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -39083a - -7?\nAnswer: -390833","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 296 minutes after 12:53 PM?\nAnswer: 5:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 4691 - 42154\/9. What is the common denominator of -36\/11 and h?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -339 + 392. List the prime factors of l.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence xr when two letters picked without replacement from lrlxer?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 92970.\nAnswer: 2, 3, 5, 1033","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose n - 2*n + 7 = 0. Let q(x) = x**3 - 2*x**2 - 7*x + 7. Is q(n) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 55232050 to the power of 1\/2, to the nearest integer?\nAnswer: 7432","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let s(j) = -8 - 3*j**2 + j**2 - 2 + 3*j**2. What is the remainder when 29 is divided by s(5)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*m - m + 16 = 0. Let l = -798 - -793. Sort 1, l, m, 2 in descending order.\nAnswer: 2, 1, l, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be ((-12)\/14)\/((-5)\/35). Let y = u + -3. Let m = 5 - y. Solve -6 = h + m*h for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from rwmmimwwwi. Give prob of picking 1 r and 1 w.\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 896 + -834. Solve -k = 19*j - 157 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor h**3\/3 + 821*h**2\/3 + 129319*h\/3 + 42833.\nAnswer: (h + 1)*(h + 211)*(h + 609)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 2 + 1. Suppose a*o - 10 = -2*o. Suppose o - 12 = -5*f. What is the remainder when 5 is divided by f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -626208, -1252410, -1878612, -2504814, -3131016, -3757218?\nAnswer: -4383420","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 30 = 2*n + 3*n - 5*w, -n - 4*w + 26 = 0. Calculate the smallest common multiple of 1 and n.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 10*j - 267*j = 848*j - 6809 - 3136 for j.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let l(g) = -3*g**2. Let x(k) = 259*k**2 - 109*k**2 - 69*k**2. What is l(x(b))?\nAnswer: -19683*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let j(v) = -3*v**2 + 71*v + 17 + 28*v**3 - 29*v**3 - 31*v + 4*v**2. Let f be j(7). Factor -5\/4*x + 1\/4*x**f + 1\/4*x**2 + 3\/4.\nAnswer: (x - 1)**2*(x + 3)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(u) = u**3 - 715 - u**2 - 730 - u + 1444. Let s(a) = -7*a**3 + 6*a**2 + 6*a + 4. Give -4*m(q) - s(q).\nAnswer: 3*q**3 - 2*q**2 - 2*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 4*v**5 - 6866589*v**3 - 212437452*v**2 wrt v?\nAnswer: 240*v**2 - 41199534","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 11\/(770\/168)*((-265)\/(-45) + -7)?\nAnswer: -8\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 266697?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*b - 3 = 1. Suppose -3*f - 1 = -0*f + 5*n, -f + 1 = n. Sort f, 4, b in decreasing order.\nAnswer: 4, f, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -5?  (a) 1\/10  (b) -3\/7  (c) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 15*h - 24 - 21 = 0. Suppose -2*l - 3*l + 5 = -h*m, -5*l + 5 = -2*m. Solve d + 20 = 4*q, m*q - 4*d = 3*q + 4 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(f) = f**2 + 6. Let y(j) = -5. Let x(i) = 11. Let z = -12 - -18. Let b(k) = z*x(k) + 13*y(k). Let h = 0 - 1. Give h*p(g) + 6*b(g).\nAnswer: -g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: -0.3 times -55\nAnswer: 16.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1*sqrt(544)*2)\/(3*-2*sqrt(98)).\nAnswer: -4*sqrt(17)\/21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Round 71.053044 to the nearest integer.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let a(g) = g**3 + 8*g**2 - 28*g - 22. Determine a(-11).\nAnswer: -77","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -0.4701  (b) 3\/5  (c) 0.2  (d) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 101 - -87. List the prime factors of h.\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is b3 - -7175c4?\nAnswer: 7176a7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let l(o) = o**3 + 21*o**2 + 99*o - 6. Give l(-5).\nAnswer: -101","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Express (0*s + s + 4*s)*(s + 7*s - 2*s)*(-43 - 40 + 81 + 77*s) in the form p*s + a + b*s**3 + d*s**2 and give d.\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 15 - 8. Let k = 150 - 87. Calculate the greatest common factor of o and k.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1 + -462 + 449 + 0 + 7?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 510 and 9146?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Round 1.27210749 to 4 decimal places.\nAnswer: 1.2721","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2 = -o + 1. Let c(f) = f**3 - f**2 + f + 1. Let d(n) = 4*n**3 + 8*n**2 + 10*n + 4. Let b(r) = o*d(r) + c(r). Factor b(l).\nAnswer: -3*(l + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 54 and 702.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -475887 divided by -158629.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is -1 (base 5) in base 14?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Divide -160425 by 3.\nAnswer: -53475","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -5 + 4. Let d = y - 1. What is the biggest value in -4, -3, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from qszubqsuv. Give prob of picking 1 z and 1 b.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 3951?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 2\/5 + (-98976)\/(-10). Suppose 0 = -4*u - 142102 - z. What is u rounded to the nearest 10000?\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 154, 130, 88, 28, -50?\nAnswer: -146","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 10219301 to the power of 1\/3, to the nearest integer?\nAnswer: 217","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 447 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -2\/13?  (a) -13  (b) -4  (c) -0.7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Sort -18\/19, -0.3, 5, -3 in decreasing order.\nAnswer: 5, -0.3, -18\/19, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let k(d) be the second derivative of 1\/2*d**4 - 7\/2*d**2 + 1\/20*d**5 + 0 - 7\/6*d**3 + d. Let x(v) = 3*v**2 - 222*v + 212. Let t be x(73). Calculate k(t).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does -561 = -366?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 4355\/6 or 2\/5?\nAnswer: 4355\/6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -359\/468 + 2\/117. Let h = -2.02 - -0.02. Which is the closest to h?  (a) -2  (b) -3  (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -335*h - 1189 + 854 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Express 17*z - z**2 - 28 + 8 + 14 + (2*z - z - 2*z)*(2*z - 2*z - 2*z) as m + k*z**2 + s*z and give m.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 567335645?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-37 - 1 + 60)*(0 + 0 + i)*(-3*i**2 + 0*i**2 + 5*i**2 + 0*i**2 + i**2 - 3*i**2 + (-1 + 1 - 2*i)*(-i + i - 2*i)).\nAnswer: 88*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of 14350, 28698, 43046, 57394?\n\"Answer: 14348*l + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 868211537 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 532*b**3 + b**2 + 529*b.\nAnswer: 3192","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -216*o - 9*o - 317*o - 346*o = 34632 for o.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (0 + 1 + sqrt(1100)*1 - (sqrt(11) + (-3*sqrt(44))\/sqrt(4) + 1*sqrt(11) + -3))**2.\nAnswer: 88*sqrt(11) + 1347","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let q(t) = -t**3 - 15*t**2 + 10*t - 23. Determine q(-16).\nAnswer: 73","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 104446 (base 7) in base 9?\nAnswer: 27224","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Put 4, -2\/11, -4, -12 in increasing order.\nAnswer: -12, -4, -2\/11, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between -20.2 and 524.44?\nAnswer: 544.64","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (3 + 2*(3 + 5*(1*sqrt(1728) - sqrt(1728))*-4))**2.\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: 6571d3 (base 15) to base 2\nAnswer: 10010011100000010001111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -240160300 + 4?\nAnswer: -240160263","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let k(j) be the third derivative of 0*j**4 + 0*j**7 + 0*j**3 - 7\/30*j**5 + 0*j + 1\/168*j**8 + 7*j**2 + 0*j**6 + 0. Find the third derivative of k(f) wrt f.\nAnswer: 120*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 43476 + -43472. Let h be (-16)\/(1\/(-5)*2). What is the second smallest value in -1, j, -4, h?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 127 minutes after 6:56 AM?\nAnswer: 9:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 0.025 + -0.025. Sort -1, h, -0.2, -2\/5 in decreasing order.\nAnswer: h, -0.2, -2\/5, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 h when three letters picked without replacement from {w: 5, h: 5, u: 5, d: 1}?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: -1090400708 divided by -173686\nAnswer: 6278","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: How many tonnes are there in 0.7696705 nanograms?\nAnswer: 0.0000000000000007696705","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*z + 6 = 21. Differentiate 10 - 7 + z*q - 2*q with respect to q.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*u = -6, -3*r + 4*r - 3*u = -7 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*l - 60 = 5*d, -5*d - 165 = -0*l - 5*l. Suppose 6*c - 4*c - 24 = 0. What is the remainder when l is divided by c?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 3441 is divided by 1100.\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 2 in -0.39, 3, -104, -0.46?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -46 - -51. Suppose 385 = 5*c - 5*q, -z*q - 306 = 3*c - 7*c. What are the prime factors of c?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is fifty-one halves of a hour in minutes?\nAnswer: 1530","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let k(u) = -6*u - 6. Suppose 3*l + 2*l - 4*z = -37, -2*z - 13 = l. Let p be k(l). Suppose -4*g = p - 172. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -11574, -23141, -34684, -46191, -57650, -69049?\nAnswer: -80376","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -283 + 401.5. Let c = n + -119. What is the nearest to -1 in 0.2, c, -3\/28?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 1761749550 to the nearest one million.\nAnswer: 1762000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1334124033 (base 6) to base 11.\nAnswer: 9133a03","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1*(-4 + -2*sqrt(125) + 3 + sqrt(125)*2 + -1 + -3))**2 + 0 + 2.\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 8*n - 5*u + 54 = 1, -30*u + 9 = -n + 19*u - 46*u for n.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -1111 + 12210220100120?\nAnswer: 12210220022002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4414 = -18*r + 1994. What is the remainder when 1077 is divided by r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (h**(1\/10)\/h)\/h*h**6*h**(1\/2)\/((h\/(h\/h**5))\/h)*(h**(1\/3)*h*h**3*h)\/(h**5*h\/(h*h**(-1\/10))) assuming h is positive.\nAnswer: h**(5\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 6 and 4080?\nAnswer: 4080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let r(c) = 11*c - 1. Suppose 5*q + 3*g - 11 = q, 4*q = -5*g + 5. Suppose 5*o - 2*t - 5 = 10, -2*o = -q*t - 27. Calculate r(o).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 9513.8 - 11215. Let t = k + 1701.000112. Let p = 0.2 + t. Round p to 5 decimal places.\nAnswer: 0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 8804?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ll when two letters picked without replacement from kdldl?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let i(n) = 2*n + 5 + n + n - 3*n. Let l(z) = 22 - 66 - z + 18 + 20. Determine -6*i(u) - 5*l(u).\nAnswer: -u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (((-3)\/21)\/((-8)\/14))\/(12\/(-18)).\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 23.8 + 5.2. Let u = s - 28. Let v = 13.967 + 0.033. Is u greater than or equal to v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put together -108.250683 and -3.\nAnswer: -111.250683","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 110389 a multiple of 617?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let p(t) be the third derivative of -11\/3*t**3 - 7\/8*t**4 + 0 + 5*t**2 + 2*t. List the prime factors of p(-15).\nAnswer: 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(l) = 5*l**2 - 8*l + 6. Calculate the least common multiple of (-2)\/7 + (-32)\/(-14) and w(2).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.1 in -82, 0.2, -5, 0.5?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let f(h) = -29*h**5 - 2*h**4 - 3*h - 2. Let u(p) = -145*p**5 - 11*p**4 - 16*p - 11. Let i(r) = -11*f(r) + 2*u(r). What is the second derivative of i(s) wrt s?\nAnswer: 580*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 95213460?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Convert 4929.595 days to hours.\nAnswer: 118310.28","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 1 and 21114754?\nAnswer: 21114754","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from tzzdtqyzttqzdq. What is prob of picking 2 t and 2 z?\nAnswer: 36\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -2 + -2. Which is the nearest to 2\/3?  (a) y  (b) -0.4  (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*m + y = -y - 20, 0 = 2*m + 2*y + 14. Suppose 1 - 3 = -k. What is the remainder when 2 is divided by k*(-1)\/(1*m)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (92*z**2 - 80*z**2 - 9*z + 2*z)*(-z - 5*z + 4*z)*(-2 + 2 - 6).\nAnswer: 144*z**3 - 84*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 922a289 - -2?\nAnswer: 922a28b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 8330414 is divided by 628.\nAnswer: 622","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 1 + 0. Let t be (0 - 0)\/(u - 3). Let f be t\/((-1 - -1) + 2). Let q(p) = -p - 2. Give q(f).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 16 divide 63296?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (10*j**2 + 6*j + 2*j**3 - 10*j**2)*(3*j + 3*j - 7*j + (2 - 1 - 2)*(-3*j + 3*j + 2*j)) to g*j**3 + i*j + b*j**2 + s*j**4 + x and give b.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from gugjuugjgjugguuuug. Give prob of sequence ujj.\nAnswer: 1\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let d(u) = 3*u + 14. Let t be d(-8). Let v(f) = f**3 + 14*f**2 + 11*f + 10. Is v(t) a multiple of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*a - 9 = -0*a. Suppose -3*j + a*n - 12 = 0, j = 2*j - 2*n + 9. Let r(h) = 9*h**3 - h**2 + 1. What is the units digit of r(j)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 4.48 + -2.48. Let k = -6 - -7.9. Let m = k - c. Is -1 > m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -10*p**3 - 3*p**2 + 0 + 3 + 151*p**3 + 20*p**2 - 12*p**2 in the form l*p**3 + q + b*p + x*p**2 and give l.\nAnswer: 141","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 65 + -64.6. Let w = 23\/2 + -12. Let k = -5\/18 - -1\/36. Which is the nearest to w?  (a) 0.5  (b) k  (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(l) be the third derivative of 1\/1365*l**7 + 1\/65*l**5 + 0 + 1\/156*l**6 - 8\/39*l**3 - 1\/39*l**4 + 0*l + 4*l**2. Factor q(x).\nAnswer: 2*(x - 1)*(x + 2)**3\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of 6, -2, -14, -30, -50, -74, -102?\n\"Answer: -2*m**2 - 2*m + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 811 a factor of 20804391?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {i: 1, b: 1, g: 5, s: 10, d: 2, k: 1}. What is prob of picking 1 b, 1 k, and 1 i?\nAnswer: 1\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Put -460\/3, -20, 1\/5, -18\/11 in decreasing order.\nAnswer: 1\/5, -18\/11, -20, -460\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 2\/3 in -0.02, 0.5, 2.1?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 20*p + 27 - 107 = 0. Let n(l) = l - 1. Let d be n(-5). Let c be (p\/d)\/((-32)\/(-24)). Is 1 less than c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 10939280 and 11734864.\nAnswer: 645417520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1075*0.004.\nAnswer: 4.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -152*t**2 - 99*t wrt t.\nAnswer: -304","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 613910\/(43 + -21) + 10. What is the highest common divisor of 15 and j?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2 + (-3 - (3 - 3)) - 3.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*q**3 + 0*q**3 + 2*q**3)*(7 - 22*q - 7 + (-3 - 3 + 7)*(0*q - 2*q + 4*q))*(-84 + 4 - 9).\nAnswer: -1780*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let q(v) = -3*v**3 - 3*v**2 + 14*v - 9. Let y be q(1). Which is the fourth biggest value?  (a) y  (b) 4\/3  (c) -2  (d) -1.7  (e) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 28698 - 29533. Which is greater: k or -9?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(s) = -s**3 - 6*s**2 - 14*s - 30. Let v be p(-4). Let c be (21 - 18)*(-2 - v\/9). Sort -1\/7, 5, c.\nAnswer: c, -1\/7, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 p and 2 u when three letters picked without replacement from {p: 2, f: 2, u: 4}?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) 7\/5  (b) 2  (c) 0  (d) -446  (e) -4\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: -11651089.03 - 0.006\nAnswer: -11651089.036","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4*j**2 + 33768*j + 33772.\nAnswer: -4*(j - 8443)*(j + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-2 - 1 - -2) + -3 + -1?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 3.3 - 8.3. Which is the second smallest value?  (a) -3\/4  (b) t  (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -934785*c**3 - 36357*c**2 - 3*c?\nAnswer: -5608710","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-4 + (5 + (1 + sqrt(272)*1 + 5 - (-5*sqrt(272)*-2 + 3)))*-2)**2.\nAnswer: -2880*sqrt(17) + 88528","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*t - t = 9. Solve -3*n = b + b - 13, -2*b + n = -t for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 88*x - 207 = 250*x + 279 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*v + 6091 = -c, -c - 2*c - 3*v - 18246 = 0. Let y be c\/8 - (-3)\/(-24). What is y rounded to the nearest 100?\nAnswer: -800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-58)\/(-28) - 2\/(-49)*-14. Which is the closest to 4?  (a) g  (b) -0.4  (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 25 - 26. Which is the third biggest value?  (a) -0.2  (b) -2\/7  (c) 0.5  (d) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -2*u**5*z**3 - 6149*u**4*z**3 - 110*u**2*z**3 + u**2*z**2 - 97*z**3 wrt u.\nAnswer: -120*u**2*z**3 - 147576*u*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 110.222 - 111.4. Let n = 439.863 - 441.8. Let k = n - r. Round k to 1 dp.\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(a) = -92*a - 48. Let t be z(4). Is t < -416?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {i: 2, h: 2, r: 6, g: 6, s: 1}. What is prob of picking 1 s, 1 r, and 1 i?\nAnswer: 3\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 67\/71064 and -55\/504?\nAnswer: 71064","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Factor -t**4 + 0 + 0*t - 1\/3*t**2 - 1\/3*t**5 - t**3.\nAnswer: -t**2*(t + 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(p) = -14*p**3 + 194*p**2 - 142*p + 2413. Determine w(14).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let b(j) be the first derivative of 949*j**3\/3 + 467*j + 606. Find the first derivative of b(y) wrt y.\nAnswer: 1898*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.048 rounded to 2 decimal places?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 10119553 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 2 + -1.9. Let y be 3\/(12\/(-40)) - 1. Let u = y - -23\/2. Which is the closest to x?  (a) 2\/9  (b) 0.2  (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2*v - 5*v + 8*v + 163 + 69 - 6*v.\nAnswer: -v + 232","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*s = -10*s - 12. Let x be (-1)\/s*(-28)\/42. What is the third biggest value in 1\/4, -3, x?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -h - 12 = q, -9*q + 247 = 2*h + 292 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -94 - -98. Suppose 2*y + 5*b - 68 = 0, b - 144 = -q*y - 44. Is (-3)\/(-12) + 4578\/y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 4391b (base 14) to base 8.\nAnswer: 477545","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose c + 2*d - 90 = d, 2*d = 5*c - 422. Is c a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-93*y + 63*y + 272*y)*(1 - y - 1) + 3*y**2 - y**2 - 3*y**2 + (2*y - 2 + 2)*(3*y - 2*y - 2*y).\nAnswer: -245*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -30 - -51. Is m a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -3 + -7 + (7 - 15) + 13.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Factor -g**3\/11 - 103*g**2\/11 - 2480*g\/11 - 4556\/11.\nAnswer: -(g + 2)*(g + 34)*(g + 67)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:08 AM and 12:18 PM?\nAnswer: 310","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let m(v) = -23*v**3 - 10*v**2 + 6*v - 5. Let q(y) = 4*y**3 - 2*y**2 + 2*y - 1. What is m(x) - 5*q(x)?\nAnswer: -43*x**3 - 4*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 10900 rounded to the nearest 100000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 553 minutes before 6:36 AM?\nAnswer: 9:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 340719367 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1 + -6 + (4 - (6 - 3)) + 9 + -60.\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.1?  (a) 3  (b) -1\/4  (c) -0.3  (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 151859 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.2 in -1\/3, -294, 4, 0.5, -0.15?\nAnswer: -0.15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*a - a + 1890 = 0. What is the highest common divisor of 42 and a?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 7968 divided by -4.\nAnswer: -1992","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*d = 38 + 25. Let p = d - 16. Let k(v) = -v**2 + 3*v + 11. Let z be k(p). What is the second smallest value in -3, 5, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -7 - -74. Let i be -1 + -8*(15\/12 + -2). Suppose 3*v + p = v + n, -i*v = 5*p - 170. Calculate the greatest common factor of v and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1611 - 3771 = 39*d. Sort -1, 8, d in descending order.\nAnswer: 8, -1, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of -4715, -9427, -14139?\n\"Answer: -4712*b - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 74, 72, 58, 26, -30, -116, -238?\nAnswer: -402","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:44 PM and 7:38 PM?\nAnswer: 414","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -16657 - -23568. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 84 and 3090090.\nAnswer: 43261260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence yfgg when four letters picked without replacement from gyyfgyyyyyyynynbgfy.\nAnswer: 11\/7752","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose k - 8 = 5*q - 8*q, -3*q = 3*k. Suppose q = -2*u + 8. Let h(x) = -10*x**u + 22*x**2 - 11*x**2. Let g(j) = 15*j. What is g(h(t))?\nAnswer: 15*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 14\/(-3)*(-1)\/4*(95 - 53).\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 57\/7 and 1\/7877960.\nAnswer: 55145720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 4236 and 948.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let y(o) = 122*o**3 + 4*o**2 - 6*o + 5. Let u be y(1). Solve 6*i + 131 = u for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(r) = r**3 - 17*r**2 + 35*r - 31. Let a be i(15). Solve -6 = 41*x - a*x for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -10 + 3675. Is 77 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 2916 and 2916?\nAnswer: 2916","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let h(d) = -3*d - 1. Let m(v) = -2*v. Let p(k) = 2*h(k) - 5*m(k). Let a(g) = 2*g - 1. Determine 11*a(u) - 6*p(u).\nAnswer: -2*u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((((y**(-1)*y*y)\/y)\/y)**(-20))**(-20))**(-38) assuming y is positive.\nAnswer: y**15200","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify r**9*r**5 assuming r is positive.\nAnswer: r**14","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 789\/112 - 62\/7. Find the common denominator of w and 93\/20.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-2 - (2 - 5) - 1) + 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 3311153319.\nAnswer: 3, 13807, 79939","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-4 + 2*-1*sqrt(1377)*2*-5 + -4)**2.\nAnswer: -2880*sqrt(17) + 550864","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 1\/6, -0.3, -4, 0.04, 335, 2?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let k(j) = -3*j - 36. Let d be k(-12). Let i(r) = 14*r**3 - 7*r - 6*r**2 - r**3 - 9 - 12*r**3 + d*r**3. Determine i(7).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -s - 2*c + 17 = 3*c, -s + 24 = -2*c. What is the units digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-465)\/31*2\/6?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let i(v) = v**2 + 27 - 2*v**2 - 26 + 3*v**2 - v**2. Let w(q) = -8*q**2 - 17. Determine 18*i(k) + 2*w(k).\nAnswer: 2*k**2 - 16","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let c(s) = 2*s**2. Suppose 5 = 2*r - 5*y, 3*r = 2*y - y + 1. Let a(l) = r + 5 + 58*l - 5. Calculate a(c(z)).\nAnswer: 116*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 663 minutes after 9:39 AM?\nAnswer: 8:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let l(g) = -g**2 + 7*g - 6. Let o be l(6). Suppose -71*i + 50 = -61*i. Find the second derivative of -i*x + x**4 + o*x**4 - x wrt x.\nAnswer: 12*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*l = -7*l - 3. Let h = 1 + l. Suppose h = 3*o - 0 - 9. Solve f = 4*f - o for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 27 and 8343?\nAnswer: 8343","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Sort 5, -12, -8.\nAnswer: -12, -8, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let w be ((-4)\/3)\/(8\/(-12)). Let q(m) = 30*m**2 - 71*m**2 + 36*m**w. Let j(y) = 4*y. Give q(j(f)).\nAnswer: -80*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -3 + 58. Find the common denominator of 19\/11 and (-25)\/10*(-108)\/n.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 308 and 1104?\nAnswer: 85008","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 73352?\nAnswer: 2, 53, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {v: 3, l: 4}. Give prob of picking 2 v and 1 l.\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*w + 42 - 15 = 3*f, 4*w = -12. Suppose -3*d + k + 9 = 0, f = -d - 5*k + 32. Solve -5*n + 21 = -d for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 53890 a multiple of 45?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -26*j + 25*j - 12 = 0. Let m be (j\/15)\/((-1)\/(-10)*-2). Solve -g + m = -5*g for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0.5 times -0.305\nAnswer: -0.1525","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of -91, -290, -601, -1006, -1487?\n\"Answer: 3*d**3 - 74*d**2 + 2*d - 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 118 - 65. Calculate the remainder when m is divided by (-14)\/(2*(-1)\/2).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 33*l = 81*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 1063842 and 78.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let o(u) = -6*u. Let q be o(-8). Let h be (q - 3)*(-1 + (-8)\/(-6)). What is the common denominator of -89\/12 and (-2 + 37\/2)*1\/h?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 36 = -12*x + 21*x for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let z(a) = -1202*a**3 + 2*a**2 - 1. Let j be z(-1). Let p = j - 11977\/10. What is the common denominator of p and (-93 - -6)\/(9 + -1)?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -2 + 6. Suppose 14 = -2*b - 4. Let d be ((-3)\/b - 0)*3. Solve 4*c = v + 18, -m*c + d + 25 = -5*v for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(p) = -3*p**2 + 25*p + 547. Let f be a(-10). Suppose 3*k + k + 4 = 0. Sort -2, f, k, 0 in decreasing order.\nAnswer: 0, k, -2, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 1 + -2 - (-11 - 90\/27*-3). Let t(p) be the third derivative of -1\/12*p**4 - 15*p**2 + 0 + 0*p + g*p**3. Let h(r) = -14*r**2. What is h(t(x))?\nAnswer: -56*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let h(p) = 8*p. Let w(k) = 3*k. Let l = -62 - -70. Let x be l\/(2\/1) + 6\/(-3). Give x*h(i) - 7*w(i).\nAnswer: -5*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there in 3\/10 of a hour?\nAnswer: 18","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 52233 is divided by 12.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of -2803, -5931, -9065, -12205, -15351, -18503?\n\"Answer: -3*k**2 - 3119*k + 319","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 5*u - 25, 3*n - 4*u = 6*n - 11 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = f + 2*o + 18, -o - 32 = 2*f + 2*o. Let a be (-3204)\/(-60) - 2\/(f\/3). Calculate the highest common factor of a and 72.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -22775046*u**5 - 2*u**4 + 14002512*u**2.\nAnswer: -1366502760*u**2 - 48*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let v(p) = -3*p**2 - 169*p + 1682. What is the remainder when 641 is divided by v(-64)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -12*i + 18*i + 36 - 42 = -2*u + 8*i, 5*u + 4*i - 15 = 0 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from vjjvjvjvvv. Give prob of picking 2 v.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 5025 - 5014. Which is smaller: l or 311\/31?\nAnswer: 311\/31","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0 (base 11) to base 8\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let -11*a**3 - 2100*a**2 + 307487*a - 27936 = 0. Calculate a.\nAnswer: -288, 1\/11, 97","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 2168?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -r - 2*r = -15120. Let z = r + -40417\/8. Let p = 293\/310 - 20\/31. Find the common denominator of z and p.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 55 divide 22244?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -27 + 7 + (19 - 48 - -42)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -1*1\/((-1)\/1).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let z(n) = -9*n - 5. Let b(j) = 19*j + 11. Let t(q) = -2*b(q) - 5*z(q). Let w be t(-2). Let d = w + 13. Solve -5*k + 4*f = -5, d*k = -4*f - 2 + 4 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -7 + 10. What is the second derivative of 2*u - y*u**2 - 9 - 3*u + 9 wrt u?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2015312 is divided by 565?\nAnswer: 522","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let k be ((-8)\/60)\/((-10)\/50). Let b(j) be the first derivative of -2\/9*j**3 - k*j**2 + 1 + 8\/3*j + 1\/12*j**4. Factor b(z).\nAnswer: (z - 2)**2*(z + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 2*(2\/(-12))\/((-6)\/54). Let n(k) = x*k**2 + 9*k**3 - 4*k**2 + 2*k - 7*k + 6*k. Suppose 2 = -4*p + 6. Determine n(p).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 21\/(-2)*(-192)\/(-144).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -c + 2*s, -2*c - 57*s = -59*s for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -i + 5 = 10. Let d(p) = -p**2 - 4*p + 7. Give d(i).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (-6 + 6 + 745*f**3 - 95*f**3)*(-f + 1 - 1) in the form j + q*f + y*f**3 + t*f**2 + s*f**4 and give s.\nAnswer: -650","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Factor 5*z**3\/4 + 135*z**2 + 520*z.\nAnswer: 5*z*(z + 4)*(z + 104)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -u + 15*t - 12*t + 20, -4*t - 35 = -3*u. Solve -2*i + 25 = u*h, 5*h - 25 = 3*i + 2*i for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 6661102 (base 7) in base 4?\nAnswer: 3020210200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from hffhhwhffffhhhwfhf. Give prob of sequence fhhw.\nAnswer: 28\/2295","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 11.8 from 0.00001.\nAnswer: -11.79999","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let a(m) = -16*m + 4. Let w(y) = -4*y + 1. Let g(q) = 2*a(q) - 9*w(q). Is g(6) a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((c\/(c*c**(-2\/15)*c))\/c)\/((c\/(c*(((c**(-2\/5)*c)\/c)\/c)\/c*c)*c)\/c)*(c*c*c**(2\/7))**13)\/((c*c**(-2\/3)\/c)**(29\/2))**3 assuming c is positive.\nAnswer: c**(5822\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -856*f - 1464*f**2 + 490*f**2 + 493*f**2 + 483*f**2.\nAnswer: 2*f**2 - 856*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 63\/985 or 1?\nAnswer: 63\/985","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let n(p) = 5*p**3 + 128*p**2 - 85*p + 380. What is n(-26)?\nAnswer: 1238","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -2\/87?  (a) 0.5  (b) 1054  (c) 0.007\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 j and 1 u when two letters picked without replacement from {u: 7, j: 4}.\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from nnppgpgpppppppnnpg. What is prob of sequence gpn?\nAnswer: 11\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*o + 2*o - 100. Let t(q) = 4 - q**3 - 27*q + 10*q**2 + 3 + 27*q. Calculate the remainder when o is divided by t(10).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(q) = q**2 - 11*q + 11. Let n be b(11). Suppose 214 = n*u + 38. Calculate the remainder when 57 is divided by u.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 1328 and 3760?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Does 47 divide 241170066?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {h: 3, z: 4, q: 1, u: 7, a: 4}. What is prob of picking 2 h and 1 u?\nAnswer: 7\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 233059 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Divide 44 by 43039.\nAnswer: 44\/43039","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 56392956 and 1044314.\nAnswer: 56392956","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 913910?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Add -24 and -3.1.\nAnswer: -27.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3*(sqrt(25)\/sqrt(5) - sqrt(5))**2*-1.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 410*s**2 + 569*s**3 + 420*s**2 - 1237*s**2 + 407*s**2.\nAnswer: 569*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 140 a factor of 165373180?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 40 + 28a66?\nAnswer: 28aa6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 1.5 + 16.5. Let m = 16 - k. Let i be 9\/21 + 198\/77. Sort -0.5, -0.2, i, m in decreasing order.\nAnswer: i, -0.2, -0.5, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor f**5 + 895*f**4 - 9959*f**3 + 6489*f**2 + 133182*f.\nAnswer: f*(f - 7)**2*(f + 3)*(f + 906)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 10915431?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((s*(s\/s**(2\/13))\/s)\/s*s**(-1\/2))\/(s*s*(s**(1\/4)*s)\/s*s)**(1\/79) assuming s is positive.\nAnswer: s**(-2855\/4108)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 25*y**4 + 5*y**3 - 107*y - 9*y**3 + 12*y**4 + 4*y**3 wrt y?\nAnswer: 444*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1953?\nAnswer: 3, 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let x(y) = -2*y - 2. Let q(m) = -5*m - 5. Let a(j) = -56*j - 56. Let f(v) = 6*a(v) - 68*q(v). Give 2*f(w) + 5*x(w).\nAnswer: -2*w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 5350 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 681 minutes before 6:14 AM?\nAnswer: 6:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: (((-14)\/(-21))\/((-8)\/6))\/(4\/(-8))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 178*(-3 + (-51)\/(-6)) + 1. Calculate the greatest common divisor of 60 and y.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -4 - -9. Suppose 0 = -2*x + 7*x - k. Let p(w) = 40*w - 1. What is the remainder when p(x) is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((w*w**(-23))\/(w\/(w**(1\/2)\/w)))\/(w**1\/(w\/(w*(w\/w**(-11\/6))\/w))) assuming w is positive.\nAnswer: w**(-79\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*o = -5*o. What is the closest to 2\/7 in -2, o, 4, 5?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 312 a factor of 92976?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let m(b) = b**2 + b. Let s(g) = g**3 - 9*g**2 + 4*g + 1. Let x(n) = -3*m(n) + s(n). What is x(12)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -0.036 + -0.164. Let c = 20\/3 + -19\/3. Let z = -43 - -46. What is the fourth biggest value in z, c, -3, k?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 777 and 5211507.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 75, 140, 215, 306, 419, 560, 735, 950?\nAnswer: 1211","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let u be ((-14)\/(-6))\/(5\/15). Suppose -3*h + u + 8 = 0. Suppose h*x = 5*z + 15, 0*z + z = 5. Solve 3*p - 1 - x = 0 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((f**(2\/3))**(4\/9)*f**6*f*f*(f*f**(-1\/6))\/f)**(-50))**(-1\/54) assuming f is positive.\nAnswer: f**(10975\/1458)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of -3234924, -3234921, -3234920, -3234921, -3234924, -3234929?\n\"Answer: -k**2 + 6*k - 3234929","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: 13561 times 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1\/13 in -448, -2\/17, 1\/4, 19?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*h**2\/9 + 286*h\/9 - 9464\/9.\nAnswer: -2*(h - 91)*(h - 52)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let p(y) = 4*y**2 - 6*y - 3. Let c = -282 + 287. Let z(g) = 5*g**2 - 7*g - 4. Calculate c*z(t) - 6*p(t).\nAnswer: t**2 + t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*s = 5*p - 171, 2*s - 144 = -0*p - 4*p. Let u = 19 + 0. Calculate the remainder when p is divided by u.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -26 - -29. Calculate the remainder when (-3 + 4)*i + 29 is divided by 12.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be ((-2)\/(-8))\/((-21)\/(-28)). What is the nearest to -1 in -3, c, -4, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -322570123 + 2?\nAnswer: -322570121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -3 - -5. Suppose -2*l - 2*h + 16 = -h, -3*h - 16 = -j*l. Solve 0*k + l = -4*k for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*p - 2*a = -364, 0*a + 88 = -p - a. Let f be (2\/(-6))\/(15\/p). Solve -f*o = -0*o + 8 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*a + z = -95452, -16*a = -14*a - 3*z - 47736. Does 87 divide a\/33 + 1\/(-11)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 65 and 24965?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -127 + 125.57. Round v to 1 dp.\nAnswer: -1.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-7)\/(-315)*(2 - -1). Let u(r) be the third derivative of 1\/300*r**5 + 0 + 1\/40*r**4 + 0*r + h*r**3 - r**2. Find z, given that u(z) = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3250?\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0000236117 to 6 decimal places.\nAnswer: -0.000024","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from coccooccco. What is prob of sequence ooo?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is -42740.32347 rounded to the nearest one thousand?\nAnswer: -43000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve -p - 43 = -5*s, 6*p - 4*s = -7*s + 136282 - 136276 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Factor b**2\/6 + 11*b\/2 - 140\/3.\nAnswer: (b - 7)*(b + 40)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: -38272 divided by -6\nAnswer: 19136\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 30*q**2 + 7*q**3 - 55*q**2 + 31*q**2.\nAnswer: 7*q**3 + 6*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Total of -0.03547923664167 and 24.\nAnswer: 23.96452076335833","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -43\/402487 and -12\/7?\nAnswer: 2817409","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*u - 78 = 962. Suppose -5*k + u = 120. What is the first derivative of 22*r**2 + 52 - 47 + k*r**2 wrt r?\nAnswer: 48*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -0.0648 - -292.9648. Let y = a + -313. Let r = y + 20.0999801. Round r to 6 decimal places.\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -18, -41, -66, -93, -122, -153, -186?\nAnswer: -221","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*y = -8*y + 15, 4*i - 4*y = 1160. Solve 0 = t + 291 - i for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 614 divided by 3\nAnswer: 614\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 72 is divided by 45?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -14*b**2 - 43*b - 38*b - 47*b + 130*b.\nAnswer: -14*b**2 + 2*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Round 2.670009 to 2 decimal places.\nAnswer: 2.67","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 34680 and 120?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0?  (a) 25  (b) 829\/46  (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*z - y + 13 = 0, 2*y + 6 + 4 = 5*z. Suppose -5*r + 165 = 5*o, o + 99 = z*o + r. What is the units digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -72  (b) -2  (c) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0427300386 rounded to five dps?\nAnswer: -0.04273","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -3 - -3. Suppose h*d + 5*f = -3*d + 83, -5*f = -4*d + 99. List the prime factors of d.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 12636744?\nAnswer: 2, 3, 526531","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 2.1 - -4.3. Let j = k + -6.40000124. What is j rounded to 7 decimal places?\nAnswer: -0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (1\/8)\/(95\/76).\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3339*j - 4*o = 3335*j + 32, -j + 2*o + 13 = 0. Let t(b) = 3*b**3 + 3. Let s(k) = -5 - k**3 - 5*k**3 + 0*k**3. What is j*s(f) + 5*t(f)?\nAnswer: -3*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*i**3 - 121140*i**2 + 1816650*i.\nAnswer: 2*i*(i - 60555)*(i - 15)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:07 AM and 9:26 AM?\nAnswer: 439","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -1\/64 + 1093\/320. Calculate the common denominator of 26 and l.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 1220306?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:31 AM and 4:21 AM?\nAnswer: 170","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 35 and 1446763885.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is -6485360 divided by 3242680?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 23.004 and 1100.\nAnswer: 25304.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Sort -6, 499, 5, 921 in ascending order.\nAnswer: -6, 5, 499, 921","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Work out 4 * -14.8.\nAnswer: -59.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 w and 1 o when two letters picked without replacement from {w: 7, o: 3}.\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 8430 - 8429.6617. Let o = g - 0.34. Round o to four decimal places.\nAnswer: -0.0017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 173137, 173113, 173067, 172987, 172861?\nAnswer: 172677","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"}
{"text":"Question: What is -1505 + 6044?\nAnswer: 4539","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 124\/141 - 10\/47. Which is the closest to 1\/35?  (a) 0.4  (b) m  (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 104680495 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5 = -11*t + 6*t for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 8476 + 5a0?\nAnswer: 8a66","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 89\/2 of a kilometer in meters?\nAnswer: 44500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -17 - -19. Which is smaller: 1\/2 or i?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -952 + 955. Solve -5*j - 41 = -u*g + 7*g, -g = -j - 1 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(q) = q**2 + 11*q - 48. Calculate the lowest common multiple of 32 and h(5).\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange ((-830 + 58*i + 830)*(-4 - 1 + 4) + 0*i + 4*i - 5*i)*(23*i**2 - 23*i**2 + 6*i**3) to the form b + p*i**2 + v*i**4 + m*i**3 + j*i and give v.\nAnswer: -354","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: (2 + 6 + 2 - 4) + -1 + 2\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many seconds are there in 11\/10 of a minute?\nAnswer: 66","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 46\/14 - 2\/7. Suppose -5*r = -3*c - 53, -4*r + 3*r + 7 = 3*c. Let p = 10 - r. Solve -j + b = 4*m + 2, p = -j - 2*m + 3 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*d + 2 = -2*c - 4, 2*c - 4*d = -16. Let s(i) = -5 + 9 + c*i + 4*i**2 + 2*i**3 - 3*i**3. Give s(5).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ccp when three letters picked without replacement from mccmmpm.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (z*z**(8\/3))\/(z\/(z**(5\/9)\/z*z))*z\/(z*z**19)*z*(z\/z**(-2\/21))\/z*z assuming z is positive.\nAnswer: z**(-862\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of b**3*z + b**3 + 139*b**2 + 19*b*z**3 + 21*z**3 wrt z?\nAnswer: b**3 + 57*b*z**2 + 63*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 45 + -27 - 8 - (-1 + 18).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let v(o) = -o. Let d(q) = -5*q**2 - 6*q + 2. Let k(i) = -d(i) + 3*v(i). Let t(h) = 6*h**2 + 2*h - 2. Let b(l) = 5*k(l) - 4*t(l). Is b(-10) a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-42)\/35*(-3)\/18\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let s(f) = 19*f**2 + 57*f - 1016. Let a(i) = -7*i**2 - 20*i + 340. Calculate -17*a(k) - 6*s(k).\nAnswer: 5*k**2 - 2*k + 316","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 41, 114, 221, 362, 537, 746, 989?\nAnswer: 1266","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 1380149 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let a(x) = 2. Let h(b) be the second derivative of -b**3\/6 + b**2\/2 + 8*b. Let c(q) = 2*a(q) - 2*h(q). Give c(-2).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -184108507 or -1288759558\/7?\nAnswer: -1288759558\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve 927522*h**5 - 1359752700*h**4 + 503749822586*h**3 - 3946344601384*h**2 + 23166669384*h - 34012224 = 0 for h.\nAnswer: 2\/681, 8, 729","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 7 + (-3 - 2) + 1. Suppose 0 = 5*t - 4*i - 161, i = -4*t - g*i + 136. Solve 13 = 5*w + t for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 384994502 to the power of 1\/2, to the nearest integer?\nAnswer: 19621","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 689 minutes before 8:25 PM?\nAnswer: 8:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let y(k) = -2*k. Let a be (-24)\/40 - (-26)\/10. What is y(a)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 105053044 is divided by 339?\nAnswer: 334","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 37\/2608650 and 29\/220968.\nAnswer: 93911400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.2?  (a) 99  (b) 4  (c) -2  (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 110210222 - 10?\nAnswer: 110210212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 44 and 1397.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -w + 7 = -3*w + p, -4*w - 2*p - 10 = 0. Let q(x) = x**3 - 10*x**2. Let u be q(10). Sort -7, w, u in ascending order.\nAnswer: -7, w, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -5 - -4.7. Let r = -893 - -890. Which is the smallest value?  (a) -1\/4  (b) r  (c) k  (d) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {y: 1, o: 1, p: 1, d: 1, q: 1, v: 2}. What is prob of sequence ov?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 12 a factor of 49704?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 2 - (2 + -4 + 5) - (22 - 6)?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 2*i**4 - 2*i - 2*i**2 + 3*i - 5*i**4 + i**4 to g*i**4 + r*i + z*i**2 + t + b*i**3 and give g.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 5\/116 + 91\/580. What is the biggest value in 0.5, p, 2\/5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 189847 is divided by 528.\nAnswer: 295","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 15283469 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.2 less than -12.87582779?\nAnswer: -12.67582779","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let g be -2 + (-3)\/6*-58. Which is bigger: 29 or g?\nAnswer: 29","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 1\/69924 + -7551907\/8041260. Which is greater: k or -2?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2548*r - 42 + 2550*r + 33.\nAnswer: 2*r - 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let -8*y**4\/5 + 33306*y**3\/5 + 24986*y**2\/5 - 8328*y\/5 = 0. What is y?\nAnswer: -1, 0, 1\/4, 4164","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose a = -2*l + 2*a + 147, 4*a = -5*l + 361. Is 26 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 25.3 - 25.4. Sort f, -3, -7\/3 in ascending order.\nAnswer: -3, -7\/3, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -3 - -6. Suppose 2*c = p + u - 4, 36 = 3*p + 5*c. Is p a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*q + 0*q + 2*p = 6, -p - 33 = 5*q. Let m = q - -2. Let l(r) = r - 4. Let h(a) = 1. Let g(n) = -2*h(n) - l(n). Calculate g(m).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(p) = -107*p**3 - 19*p**2 - 41*p - 43. Does 31 divide f(-4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 1788 - 1759. Calculate the remainder when t is divided by 18.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: -564607 * 0.1\nAnswer: -56460.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 381930 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 5.95 - 1.95. Which is the nearest to 0.1?  (a) 2\/15  (b) w  (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*z + 3273 = -4*z + 3*t, 5*z - 16450 = 2*t. Suppose -11*d = -19*d + z. What are the prime factors of d?\nAnswer: 3, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 d and 1 u when three letters picked without replacement from {u: 5, d: 9, q: 2}?\nAnswer: 9\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Round -1012310 to the nearest 10000.\nAnswer: -1010000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let k(l) = -l - 25. Let y(w) = -12*w + 1. Calculate -k(c) - 2*y(c).\nAnswer: 25*c + 23","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"}
{"text":"Question: What is (1 + -1 - 20) + 4 + -4?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1681413829 is divided by 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Express (-4*l**3 - 23*l**3 - 10*l**3)*(4*l + 5*l - 3*l) + (l + l - l)*(-2*l**3 + l**3 - l**3) as h*l**2 + u + p*l**4 + w*l**3 + a*l and give p.\nAnswer: -224","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -552*x - 566*x - 567*x + 1680*x.\nAnswer: -5*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 604119 a multiple of 663?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (p*p**(3\/14))\/(p\/(p**14*p)) assuming p is positive.\nAnswer: p**(213\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 59302188.\nAnswer: 2, 3, 11, 17, 23, 383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of -1024, -3735, -6446, -9157?\n\"Answer: -2711*v + 1687","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 8\/((-1 - 0)*-2). Let d be (-1*(-8)\/a - 1)*7. What is the third derivative of -10*s**2 - 23*s**4 + s**4 - d*s**2 wrt s?\nAnswer: -528*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 175816086*a*o**3 + a*o - 14203407*o + 3 wrt o.\nAnswer: 1054896516*a*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 59 + -54. Suppose -3*r = -15, y - b*y + 23 = -5*r. Let c(i) = 18*i + 12. Let a(o) = o + 1. Determine y*a(z) - c(z).\nAnswer: -6*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 526 is divided by 44?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:14 AM and 5:14 AM?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Does 56 divide 1576054368?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*n - 5*l = -6, -7*l = -4*l. Calculate the remainder when n\/(19\/606) + (-52)\/(-494) is divided by 4.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be ((-192)\/(-128))\/((-2)\/(-1 + (-13)\/3)). Let k(a) = -3*a**2 + 18*a - 34. Determine k(b).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -333 in 0, 3, -136\/9?\nAnswer: -136\/9","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -37\/504 and -13\/10?\nAnswer: 2520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 1.95 - 2. Let n = 2.95 - h. Which is the nearest to 0?  (a) -1  (b) 0.3  (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 4*12\/(-40)*15\/6?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from xcfbpiif. What is prob of picking 2 i?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -1169, -571, 89, 811?\nAnswer: 1595","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 12*x - 7*x = -6*o + 103, 0 = -2*o - 3*x + 41 for o.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((o*o*o**0*o)\/o)**(-28)\/(o**(-6)*o*o\/(o**3\/o)) assuming o is positive.\nAnswer: o**(-50)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let g(v) = -6*v**3 - 22*v - 16. Let q(u) = -2*u**3 - 7*u - 5. Suppose -2*z = -5*w + 84, 41 = 3*w - z - 9. What is w*q(y) - 5*g(y)?\nAnswer: -2*y**3 - 2*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let d(n) = 10*n**2 + 8*n - 6. Let c(t) = 3*t**2 + 3*t - 2. Let v(o) = -7*c(o) + 2*d(o). Let j be v(-5). Is 5\/6 greater than or equal to j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 0*j**2 + 5*j + 305292 + 0*j - 305292 + 2*j**2.\nAnswer: 2*j**2 + 5*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 168 or 2909?\nAnswer: 168","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of 68, 131, 242, 407, 632, 923, 1286, 1727?\n\"Answer: f**3 + 18*f**2 + 2*f + 47","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -q - u - 1, -5*u + 10*u = q - 17. Suppose -31 + 299 = q*v. Suppose -v + 22 = -f. Do 113 and f have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (8 - 8 - 9*m**2)*(2*m**3 - 3 + 3).\nAnswer: -18*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 544946 to the nearest integer?\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: How many grams are there in 0.4246814ng?\nAnswer: 0.0000000004246814","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let u(g) = -59*g - 7. What is u(2)?\nAnswer: -125","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2081*w - 5376 = -2509*w + 4142*w for w.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 3*d - 5 + 5 + (-d + 0*d - 5*d)*(6 - 3 - 2) to l + q*d and give q.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*n + 2*r + 2 = 0, -7*n - r = -2*n - 20. Suppose -25 = 3*s + 2*s. Let z(i) = i**2 + 5*i - 1. Let l be z(s). What is the nearest to l in 2\/5, n, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 47303783, 47303780, 47303777?\nAnswer: 47303774","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from ottmxtm. What is prob of sequence mtmx?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*x - 3*x = -22. Let i = -109\/5 + x. Let n = -3625.5 - -3626. What is the nearest to -2\/3 in n, i, 3?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(b) = 18*b**3 + 107*b - 2. Let t(m) = -3*m**3 + m. What is 5*t(u) + v(u)?\nAnswer: 3*u**3 + 112*u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-1)\/(-3) + (-40)\/(-15). Suppose -34*d = -35*d + 3*y - 16, 2*d + 12 = 2*y. Let h be 228\/(-285)*5*d. Solve 0 = -k*t + 4*m + 6, 3*t - t - h = -2*m for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(u) = 7*u - 4. Let f(y) = -14*y + 39*y + 3 - 31*y. What is -5*f(n) - 4*r(n)?\nAnswer: 2*n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.1557391 millennia to centuries.\nAnswer: 1.557391","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(1960) + 2*sqrt(1960) - sqrt(1960) - sqrt(1960)) + sqrt(40) + -3*sqrt(40)*5)\/((sqrt(3584)*1)\/(-1*sqrt(1008) - sqrt(7)))*-4.\nAnswer: -91*sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:01 PM and 3:11 AM?\nAnswer: 610","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 400197 is divided by 87.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 121 a factor of 1998436?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Round 1928.92 to the nearest 100.\nAnswer: 1900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is -30*38\/7410 - (920\/(-494))\/(-5)?\nAnswer: -10\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -4 * 3131.\nAnswer: -12524","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ddbayyydyybbbvy. What is prob of sequence db?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4*y**3 - 28632*y**2 - 51265584*y - 102416672.\nAnswer: -4*(y + 2)*(y + 3578)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence pztk when four letters picked without replacement from {k: 1, t: 1, z: 1, a: 1, p: 1}.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 58 a factor of 19082?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let q(u) = 8*u. Let t(y) = -9864*y**2. Calculate t(q(z)).\nAnswer: -631296*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (11\/44)\/((7\/(-7))\/36)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 34\/(3\/(-594)*66)?\nAnswer: -102","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let f(k) = 723*k - 3. Let d(w) = 2910*w - 12. Determine -2*d(j) + 9*f(j).\nAnswer: 687*j - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -1\/89, -4, 1\/2?\nAnswer: -1\/89","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 19068 - -31639. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1 in -3, -2\/23, 2\/3, -13?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*u - h - 77 = 83, -4*u = -2*h - 210. Let d = 59 - u. Let v(w) = -w + 12. Let t be v(12). Solve -d*j + t*j = 0 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 9.874646 to zero dps.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*h = -12 - 4 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of -24170082, -24170085, -24170088?\n\"Answer: -3*w - 24170079","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 g, 1 y, 1 z, and 1 n when four letters picked without replacement from {f: 2, y: 1, n: 1, z: 1, g: 1, u: 2}.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1\/2?  (a) -7\/5  (b) 1  (c) 2\/1647  (d) 2\/5  (e) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let v(w) be the second derivative of 3*w**5\/20 + 3*w**4\/4 + w**3 - w + 24. Factor v(r).\nAnswer: 3*r*(r + 1)*(r + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(a) = 59*a + 11. Is p(13) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 327 minutes after 5:35 PM?\nAnswer: 11:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 649 - (1 + -2)\/((-1)\/4). Suppose 427 = 8*n - l. Let p be n*((-12)\/8 - (2 + -3)). Is -67 less than p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*v + 5*v + 4*c - 64, -2*c + 56 = v. Calculate the highest common factor of 12 and v.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*a - 8 = -8*a. Suppose 3*p = a*p. Solve p = c + n + 7, c + 5*n + 17 = 5*c for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 77 minutes after 4:00 PM?\nAnswer: 5:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Product of -29.8 and 12.13.\nAnswer: -361.474","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -3675 + 3677. Solve -24 = -3*u - 3*k, 4*u - 3*k - 2 - b = 0 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: -0.071 times -36\nAnswer: 2.556","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 108083252 divided by 3.\nAnswer: 108083252\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*w - 2*w + 42 = -b, 20 = 3*w + 5*b. Suppose -s - 8 = 2*a, w = 7*a - 4*a - 4*s. Put a, 5, -5 in descending order.\nAnswer: 5, a, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 202 divide 2389302?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -912.965 + 913. What is the closest to 2\/3 in 0.5, f, 1\/3, -2\/9?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -3  (b) 1\/10  (c) 4  (d) 34\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 56242317 to the nearest integer?\nAnswer: 383","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"}
{"text":"Question: Let c(z) = 71*z - 12. Let k(v) = 2. Calculate c(b) + 5*k(b).\nAnswer: 71*b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify w**(-5\/8)*w\/w**(-11) assuming w is positive.\nAnswer: w**(91\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 482 minutes after 8:58 AM?\nAnswer: 5:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Express (-4*d - d - 2*d)*(0 + 2 - 5 + 4 + 1 + 3 + 2 - 3 - 1 + (-1 + 3 - 3)*(-2 + 0 + 1)) in the form c*d + a and give c.\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 1110 and 49360035.\nAnswer: 555","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 7124 and 832?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 2*(6 + -6 + 15). Calculate the greatest common factor of d and 54.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 w and 1 v when two letters picked without replacement from wvzzzvy?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is -5 (base 9) in base 5?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*p - 5*p = -4914. Let w = p + -273. Let r = 508 - w. Calculate the highest common divisor of r and 47.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 37 divide 12080167?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 160 + -140. Let c(r) = -r + 24. Let o be c(21). Solve -o*h = -f + 19 - 5, 0 = 4*h + x for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -4.1 + 237.71. Let j = v - 232. Round j to 1 dp.\nAnswer: 1.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -5*b*i*v**2 - 1044*b*i*v + 102702*b*i - 1738*b*v - 2*b + 104*i + 3 with respect to v.\nAnswer: -10*b*i*v - 1044*b*i - 1738*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from pppaaa. Give prob of sequence aapp.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -0.7 - -5.7. Let u = 0.7 - -0.3. Let p = 0 - u. Which is the third smallest value?  (a) p  (b) d  (c) -2\/15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 7 + -7 + 1 + 4.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: -50884 times -0.21\nAnswer: 10685.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 84*w**2 - 1012 - 62*w**3 + 2027 - 1013.\nAnswer: -62*w**3 + 84*w**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Find w such that w**2\/5 + 80195324*w + 8039112489331220 = 0.\nAnswer: -200488310","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -2896*o + 1425*o - 23536 for o.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 378 is divided by 35?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 9*o**4 + 11 - o**2 - 11 + 2*o**3 to n*o**2 + s*o + v*o**4 + j*o**3 + x and give j.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 44208432157 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 19 = -22*u + 129. Find the second derivative of -5*r**2 + 605*r**5 - 300*r**u - 298*r**5 + 26*r wrt r.\nAnswer: 140*r**3 - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -23\/4057218 and -113\/2213028?\nAnswer: 24343308","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let a(f) = f**2 - 10*f - 13. Let o(b) = b**2 - 9*b - 12. Let l(d) = 5*a(d) - 6*o(d). Let x be 0 + 7*(-1 - -2). Let u be l(x). Is u at least as big as -14?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -42, -74, -104, -132, -158, -182?\nAnswer: -204","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let j(u) = 107*u - 2137. Determine j(20).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let u(t) = 1188*t. Let f(h) = 2*h. Determine u(f(m)).\nAnswer: 2376*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 6\/(-1)*(40\/117 + (-3)\/13).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 19 by -656.\nAnswer: -19\/656","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence df when two letters picked without replacement from {d: 2, f: 4}?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -87\/496 and -61\/48?\nAnswer: 1488","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (3\/((-36)\/(-10)))\/(55\/44)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Express 14 - 15 + 95*l + 3 as d + a*l and give d.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -3063883\/104 + 29461. Find the common denominator of k and -103\/24.\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(r) = 0*r - 23*r + 12*r. Give n(-3).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 15 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 257789737 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3, 0, -955 in increasing order.\nAnswer: -955, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 572 minutes before 1:32 PM?\nAnswer: 4:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Round -391080 to the nearest 100000.\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 123, 1072, 3681, 8796, 17263?\nAnswer: 29928","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"}
{"text":"Question: Expand (5 - 6 + 3)*(2 + 0 - 3)*(a - 5 + 5).\nAnswer: -2*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Express (3*l**4 + 4*l**4 + 4*l**4)*(-3 + 0 + 1)*(4 - 4 - 3) in the form d + z*l + s*l**4 + y*l**3 + r*l**2 and give s.\nAnswer: 66","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 717 times -0.207?\nAnswer: -148.419","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1966066877?\nAnswer: 1966066877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 147939 is divided by 94.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2\/15, -1\/6, -24\/7, -83.\nAnswer: -83, -24\/7, -1\/6, -2\/15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (3 + -8)\/((-5)\/(-10)). Let l(g) = g**3 + 11*g**2 - 9*g - 10. List the prime factors of l(t).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 s when three letters picked without replacement from sxxxxxllxsxxslxsxbxx.\nAnswer: 1\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 30\/(-55)*(-69)\/(-414)*341*-3.\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 24\/(-7) - (-60)\/(-140)*-7?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -1 or 2986\/484005?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 t when two letters picked without replacement from tgtrtivvrra.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 1 - 196?\nAnswer: -195","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Put 5, 1\/74, -28\/11 in ascending order.\nAnswer: -28\/11, 1\/74, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve 259 = 45*b - 8*b for b.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Round -4797.4732 to the nearest one thousand.\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is g in -20*g**5 + 767428*g**4 + 2762932*g**3 + 2609500*g**2 + 16*g - 614000 = 0?\nAnswer: -2, -1, 2\/5, 38375","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Express -22*y + 31*y + 15*y + 51*y as i*y + t and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -16139 - -16140. Put 661, y, 3, -2 in descending order.\nAnswer: 661, 3, y, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*b - 4*o + 75 + 359, 0 = b + 5*o - 91. What are the prime factors of b?\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((j**(-1\/4)\/j)\/j**(2\/13))\/(j*j\/j**(-4\/3)*j**0\/j) assuming j is positive.\nAnswer: j**(-583\/156)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -45 + 15 = -10*b. Solve x = 5*h + 3*x + 10, b*h = -5*x - 25 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*l = -l + 9. Let d be l\/18*5\/(-3). Sort d, -0.1, 0 in decreasing order.\nAnswer: d, 0, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 270 minutes after 12:01 PM?\nAnswer: 4:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ddwwssddvwdsswc. What is prob of sequence cd?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (k*k**3*(k\/k**6*k)\/k)**(-4\/23)\/((k**2)**29)**(-31) assuming k is positive.\nAnswer: k**(41358\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 996383 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -286.443 - 0.557. Let t = l + 286.99439. What is t rounded to 3 dps?\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 2104756*a**2*s**2 - 88*a**2 - 4*a*s**2 - 231*a*s - 29*a - 2*s**2 + 20*s + 1 wrt s.\nAnswer: 4209512*a**2 - 8*a - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:42 PM and 1:48 AM?\nAnswer: 546","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (g*g**(2\/9))\/g**(6\/5) assuming g is positive.\nAnswer: g**(1\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let v(x) = -x**2 - 233*x + 1130. Give v(5).\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let m(d) be the first derivative of -1\/8*d**4 + 0*d + 30 + 0*d**2 - 1\/6*d**3. Determine p, given that m(p) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2 + 3 - 2)*(2*m + 4*m - 3*m)*(8 + 5 - 3) + ((-3 + 3 - 1)*(4 - 5 - 1) + 2 - 1 - 3 - 1 + 2 + 3)*(2*m + 3*m + 2*m).\nAnswer: -2*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Determine b, given that -b**4\/4 + 2837*b**3\/4 + 220959*b**2\/4 + 1249047*b\/4 + 917595\/2 = 0.\nAnswer: -70, -3, 2913","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"}
{"text":"Question: Let b(v) = -4*v**2. Let k(d) be the third derivative of -d**8\/2520 + 11*d**5\/30 + 85*d**2. Let x(m) be the third derivative of k(m). Calculate b(x(c)).\nAnswer: -256*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 546 minutes before 9:38 AM?\nAnswer: 12:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-8)\/2 - 2\/1. Let b be (-1 + -9)*3\/u. Suppose -b*x - 13 + 2 = -3*l, -5*l - 4*x + 6 = 0. Solve 5 = n + 4*c, l*n + 3*c = -2*n + 7 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (2*j - 4*j + 10*j**2 - 19*j**2)*(4*j - 5*j - j) to the form k*j + q + t*j**2 + m*j**3 and give t.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -214807, -859206, -1933205, -3436804?\nAnswer: -5370003","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 357 - 16*q + 6*q + 8*q - 357.\nAnswer: -2*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 2*a**4 - 9*a**3 - 178*a**2 - 2710*a + 9.\nAnswer: 24*a**2 - 54*a - 356","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4*v**4\/5 - 345368*v**3\/5 - 454284096*v**2\/5 - 200552348072*v\/5 - 29563545171964\/5.\nAnswer: -4*(v + 443)**3*(v + 85013)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: -3 times 14639708.1\nAnswer: -43919124.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -12 or -112\/9?\nAnswer: -112\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -201*1320\/238788*2\/(8\/(-9)).\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 1 at most as big as 1\/1386241?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is -125142 (base 6) in base 11?\nAnswer: -8714","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:50 AM and 5:33 PM?\nAnswer: 643","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve 495*w = -202*w - 399*w + 10960 for w.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from llelllluulllll. What is prob of sequence uul?\nAnswer: 11\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:04 PM and 4:28 AM?\nAnswer: 624","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: -201 divided by -3\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 159 - -589?\nAnswer: 737","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let w(l) = 2*l**3 - 627*l**2 + 2781*l - 16. Give w(309).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Product of -3195 and 18.52.\nAnswer: -59171.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -38105, -38111, -38131, -38171, -38237, -38335?\nAnswer: -38471","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {c: 10, a: 9}. Give prob of picking 2 c and 1 a.\nAnswer: 135\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(608) - sqrt(608)*-2)\/(sqrt(2) + -6*sqrt(4)\/sqrt(2)).\nAnswer: -12*sqrt(19)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 36*g - 28 = 29*g for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 + 0 - 2*h)*(3*h**2 - 4*h**2 + 4*h**2) - 425*h**3 - 15 - 8 + 23.\nAnswer: -431*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Express (-3*r - 3*r + 5*r)*(1 - 23 + 11) - 4 + 2 + 5 - 3*r in the form i*r + f and give f.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.1 in -14\/209, -29\/6, -0.4?\nAnswer: -14\/209","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2*(-1 + ((sqrt(133) - (-3*sqrt(133)*1 + sqrt(133)))\/(-6*(sqrt(28) - sqrt(7)))*2)**2) + -3.\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {l: 2, z: 2, r: 1}. Give prob of sequence rzll.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 2 and 717089?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 265 + 67*k**2 - 69 - 186 to the form v*k + y + x*k**2 and give y.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -13 + 19. Let m = t + -6.14. Let w = m + 0.14008. Round w to 4 decimal places.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 769855625.\nAnswer: 5, 7, 11, 17, 941","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 107 + -12. Let j = -92 + u. Does j = -4\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 36742071 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 20057100?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Sort 67445, 2, 0, -194, 3 in decreasing order.\nAnswer: 67445, 3, 2, 0, -194","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 53.04 + -53. Does 0 = l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3497634 to the power of 1\/8, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 z when three letters picked without replacement from zzwwwxzwzz.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let q(x) = x**2 - 9*x - 78. Let k be q(15). Which is the third biggest value?  (a) k  (b) -3\/2  (c) -1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 59102*k - 152292 wrt k?\nAnswer: 59102","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -19 - (0 - 5) - -2.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {w: 9, u: 1, n: 1, k: 1}. What is prob of picking 1 w, 1 u, 1 n, and 1 k?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 1237121 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from bbbbssbbbs. What is prob of sequence bss?\nAnswer: 7\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let n(z) = z**3 + 5*z**2 + 13*z + 83. Let d be n(-5). Suppose 5*v - 5*t = -d - 27, 3*t = -5*v - 13. Sort 5, -1, -3, v in decreasing order.\nAnswer: 5, -1, -3, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 208 - -85. Let u = -281 + t. Solve -3*x = 0, -5*k = -k + 4*x - u for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 142 and 127090?\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let h(v) = -v**2 - 6*v + 9. Let k be h(-7). Let y(z) = -2 - z**2 - 71*z - z**3 + 66*z - 6*z**k - 4. What is y(-6)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(m) = 0*m**3 - 2*m**2 + 4*m**3 - 2*m**3 - 4*m**3 - 4 - 9*m. Let z(l) = l**3 + l**2 + 4*l + 2. Determine 4*w(x) + 9*z(x).\nAnswer: x**3 + x**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -15*w - 2*w - 13*w**2 + w**4 - w**3 + 17*w to the form l*w**4 + a*w**2 + c*w + d*w**3 + m and give d.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 13032241 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: 986 (base 15) to base 13\nAnswer: c96","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Put -27, 6, 1, 22 in ascending order.\nAnswer: -27, 1, 6, 22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 1\/98 bigger than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 136750978?\nAnswer: 2, 7, 13, 751379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 71\/4 and 61\/16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 10\/3  (b) -1\/2  (c) -2  (d) -4\/7  (e) 1732  (f) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 5\/(2 + -6 + 2)*2. Let i(h) = h - h**2 + h**3 + 7*h**2 + 5 - h**2. Let p be i(b). Do -1 and p have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-3*-1*sqrt(64)\/sqrt(2)*-2)**2.\nAnswer: 1152","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -353 + 333 + (1 - 3).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 12301 - -10010231?\nAnswer: 10023132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 303*d - 223*d + 2155*d**3 - 161*d + 24 wrt d?\nAnswer: 12930*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 131132 + 1?\nAnswer: 131133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let d(j) = -2*j**2 + 79*j - 28. Give d(39).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*n = -3*w, -4 + 3 = -w. Let k = -1 - -3. Let v(q) = 3 - 4 - k*q + q. What is v(n)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(q) = q**2 + q. Let i(c) = 6*c**2 - 5*c. Let s(r) = -6*a(r) - 2*i(r). What is the second derivative of s(h) wrt h?\nAnswer: -36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -19*z**3 + 981757*z**2 + 77419414 with respect to z.\nAnswer: -57*z**2 + 1963514*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Express 19 + 0 + 18 - 4*b + b as y*b + j and give j.\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*g**3 + 17663224*g**2 - 247284842*g + 865496604 = 0. What is g?\nAnswer: 7, 8831598","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -116185 = -22*r + 3*r. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 408 minutes before 3:52 AM?\nAnswer: 9:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:47 AM and 5:57 PM?\nAnswer: 670","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 18 + 15 = 2*v - s, v - 5*s = -6. Let u = 44 - v. What is the remainder when u is divided by 6?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 x and 1 f when two letters picked without replacement from uuxxuxufufux?\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -576\/5 - -116. Suppose 0 = 5*x + 5 + 5, -4*x - 29 = 3*s. Which is the third biggest value?  (a) 1\/3  (b) 1\/11  (c) p  (d) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 1288504326 + -0.04644.\nAnswer: 1288504325.95356","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -8\/5 + 26\/15. Let m be (-1)\/(-7) - (-12)\/14. Which is the nearest to -0.1?  (a) f  (b) -0.2  (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 62 and 7006?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Sort -8, -90801, -5 in increasing order.\nAnswer: -90801, -8, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 7, -0.14, -1?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 29 = -3*g - 4. Let f = g + 18. What are the prime factors of f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -119*t + 123*t - 32 = 0. Let o be ((-6)\/t)\/(123\/(-328)). Solve -5*j - 14 = -4, 0 = -5*n + o*j + 14 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -2122201122102 - 201?\nAnswer: -2122201200010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 71*m = 437 + 983. What is the remainder when 152 is divided by m?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 108 divided by 2?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let n(t) = 2*t**2 - 10*t - 30. What is n(-7)?\nAnswer: 138","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.1215428 + 0.464.\nAnswer: 0.5855428","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*y = -3*y + 2*h - 6, 2*y + 5*h - 14 = 0. Find f, given that 10*f - 13*f**2 + 5*f + 6 - f**y - 7*f**2 = 0.\nAnswer: -2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 102 - 18 - (-6 + -11 + 44).\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 27.6 + -29.6. Which is the nearest to -1\/4?  (a) 0.0364  (b) z  (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 8\/3 of a millennium in months?\nAnswer: 32000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -2\/9 in 0, -0.4, 48?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 6823 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Convert 2 (base 4) to base 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let d(k) = -k**3 + 2*k**2 + 14*k - 30. Suppose 2*v = -264*h + 269*h - 17, -2*v + 3*h - 7 = 0. Determine d(v).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 s and 1 d when four letters picked without replacement from {h: 3, z: 2, s: 4, t: 4, q: 2, d: 3}?\nAnswer: 1\/255","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 2035397 and 39.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 11*g - 9*g - 1646. Find the second derivative of -800*u + g*u - 9*u**2 - 16*u**2 wrt u.\nAnswer: -50","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -145\/18 and 199\/5246850.\nAnswer: 15740550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*j = -0*i - 3*i - 128, 4*i + 204 = -97031*j + 97035*j for i.\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Convert 8593.309 millilitres to litres.\nAnswer: 8.593309","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*t + 2 = t. Let y(j) = 79503*j + 13. Let w(d) = 26501*d + 4. Let l(f) = -7*w(f) + 2*y(f). Let o be l(t). Round o to the nearest 10000.\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 16 and 15093419?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of 43, 176, 367, 592, 827, 1048, 1231, 1352?\n\"Answer: -4*v**3 + 53*v**2 + 2*v - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: 0 divided by -641\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 6 and 8?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -3311815*f - 5002502 with respect to f.\nAnswer: -3311815","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence wscc when four letters picked without replacement from jfcsycwsy.\nAnswer: 1\/756","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let s(j) = 10*j**2 - 3*j - 2. Let q be s(1). Solve -38*k + 3*r - 10 = -37*k, -16 = q*k + 2*r for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5*((sqrt(3072) - sqrt(12))\/(-2*sqrt(32)\/sqrt(8)))**2.\nAnswer: -3375\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let m(a) = -a**3 + 9*a**2 + 2*a + 224. Calculate the lowest common multiple of m(11) and 211.\nAnswer: 844","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 94849 divided by 2825?\nAnswer: 94849\/2825","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence qmdf when four letters picked without replacement from mmsqdfsb?\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -23261, -23262, -23263, -23264, -23265, -23266?\nAnswer: -23267","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 103261062?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 5*f + 40 - 2*f - 38 - 67 - 2*f.\nAnswer: f - 65","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1.031922 months to millennia.\nAnswer: 0.0000859935","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 2.119 + -2.1. Let z = 308.319 + -306.3. Let p = q - z. Sort -0.4, p, 11.\nAnswer: p, -0.4, 11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 141839 to the power of 1\/2, to the nearest integer?\nAnswer: 377","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Find a, given that a**3\/4 + 13*a**2\/4 = 0.\nAnswer: -13, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let l be -7 - (7 - (1 + 11)). What is the remainder when 302 is divided by (144\/(-15) - l)\/(31\/(-155))?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -211043*c**4*p**2 + 57*c**4 - 5*c**2*p**2 + 160*c**2*p + c**2 + c*p**2 - 124*c*p + 4 wrt c.\nAnswer: -5065032*c*p**2 + 1368*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1577497 is divided by 731.\nAnswer: 730","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Expand (b + 0*b - 3*b)*(8 + 0 + 0 + (-2 + 0 + 1)*(1 + 1 + 0)).\nAnswer: -12*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*b + 6*b + 9*n = 2*b + 45, -b - 20 = -4*n for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -2 + 29?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Divide -4 by -180.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 18*l = 12*l + 24. Suppose l*p - 2*d - 66244 = -6*d, -d = 5*p - 82821. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 100013024 (base 5) to base 10.\nAnswer: 391639","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1048*t - 1096*t + 2724*t.\nAnswer: 580*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 84306 is divided by 780.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 6405.52926 rounded to the nearest one thousand?\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Sum -7177962784.2 and -0.029.\nAnswer: -7177962784.229","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 177 + 10*r - 177.\nAnswer: 10*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of 5140, 20493, 46044, 81793, 127740, 183885, 250228?\n\"Answer: 5099*o**2 + 56*o - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let o(r) = 588*r + 119369. Determine o(-203).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 14 = -10*h + 34 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.1 in -123, -0.4, -5, 1.06?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*p + 4*z = 730, p = 4*p + 5*z - 728. Suppose 5*c + 61 = p. Calculate the remainder when c is divided by 11.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 79992?\nAnswer: 2, 3, 11, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-19 + 19 + 3*b**2)*(-2*b**2 + 10 - 10)*(-b - 2*b + 4*b).\nAnswer: -6*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let z(x) = -5*x**2 + 24760*x - 24759*x + 4*x**2 - x**3. Let u(a) = -6*a**3 - 3*a**2 + 3*a - 1. Calculate 2*u(c) - 6*z(c).\nAnswer: -6*c**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 26953165\/36 - 748644. Let v = g + -430\/9. Find the common denominator of 1 - (103\/8 - 1) and v.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 10\/4*-40*59\/11800*2\/47.\nAnswer: -1\/47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of (-2760)\/(-36)*1\/((-2)\/(-3))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -167\/810 and -5\/12717.\nAnswer: 127170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let m(h) = 6*h**2 + 5*h - 2. Let f(d) be the second derivative of -7*d**4\/12 - 2*d**3\/3 + d**2 + d. Let g(n) = -3*f(n) - 2*m(n). Is g(3) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 8191653 or 2\/9?\nAnswer: 8191653","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let f(d) = 4*d**3 - 5*d**2 - 5. Let k(m) = -55 + m**2 + 102 - m**3 - 46. Give 6*f(a) + 30*k(a).\nAnswer: -6*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 624751543, 624751541, 624751539, 624751537?\nAnswer: 624751535","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:35 PM and 12:27 AM?\nAnswer: 292","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let r(o) = o**3 - 16*o**2 - 33*o - 44. Let s be r(18). Suppose -u + 3*l = 0, -5*u + 2*l = -u - s. Solve 8 = -5*d - q, q + 2 = d + u*q for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -1793, -3591, -5389, -7187, -8985, -10783?\nAnswer: -12581","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*a**5 + 8*a**4 + 10*a**3 + 4*a**2.\nAnswer: 2*a**2*(a + 1)**2*(a + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*o - 5*j + 42, 3*j = 4*o - o - 63. Let l(m) = m - 6*m + 6*m + m**3 + o. What is the units digit of l(0)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (51 - 28 + 146)*(5 + s - 2 - 1)*(3*s - 2 - s + 0*s) to the form f*s**2 + n*s + t and give f.\nAnswer: 338","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 0.48487 - 0.06196. Round m to two decimal places.\nAnswer: 0.42","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -412 - -940. Suppose -n + 3*o = -468, 2*n - g - 443 = -o. What is the hundreds digit of n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 14655149431 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (a**14\/(a*a\/(a**(-3\/5)\/a))*a**(-18)\/(a\/(((a*a*a\/(a**(2\/93)\/a))\/a)\/a)))**10 assuming a is positive.\nAnswer: a**(-6158\/93)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose b + 3*u = 4*u - 9, 0 = -5*u - 5. Calculate the remainder when 37 is divided by (b\/(-4) + -3)*-38.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 873536563 to the power of 1\/2, to the nearest integer?\nAnswer: 29556","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {z: 5, d: 7, x: 2}. What is prob of sequence xd?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*x = -3*u + 101, 0 = -0*u - 2*u - 4*x + 74. What are the prime factors of u?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(d) = -4*d - 8. Calculate the remainder when f(-7) is divided by 12.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(r) = -21*r**2. Let g(u) = -34371961*u. Determine j(g(a)).\nAnswer: -24810065762695941*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 26 and 74022?\nAnswer: 74022","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 7\/((-35)\/(-30))*8\/(-6).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is seven halves of a litre in millilitres?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 3 + -1. Solve -v*b - 3 - 3 = 5*o, 10 = 3*b - 2*o for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(y) = -27*y. Let f(z) = 56*z - 20*z - 23*z - 15*z. Determine f(w(n)).\nAnswer: 54*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 597 minutes after 7:12 PM?\nAnswer: 5:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 19b + -491?\nAnswer: -2b2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2, -5, -8658, 17, 6 in ascending order.\nAnswer: -8658, -5, -2, 6, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Expand 15642*z**3 + 1 - 4749920*z**4 - 2*z**5 + 4749920*z**4 + 2*z**5 - 3*z**5 + 0*z**5 + (0*z**3 + 0*z**3 + z**3)*(2*z**2 - 4*z**2 + 4*z**2).\nAnswer: -z**5 + 15642*z**3 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -6071 - -24285\/4. Which is smaller: i or 1007?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 26*l + 3400 - 3608 for l.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((o*o**(-1\/4))**(-4\/5))**(-30) assuming o is positive.\nAnswer: o**18","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Round 1916000 to the nearest 100000.\nAnswer: 1900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:14 AM and 2:53 PM?\nAnswer: 459","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 2\/(-3)*((-370)\/(-740))\/((-3)\/(-72))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Does 212 divide 915416?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let q(n) = -n**2 - 3*n. Let k be q(-3). Suppose h - 4*u = -0*h, k = u. Suppose h = -2*c - c + 153. What is the units digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 4018471\/62890 + 20\/6289. Let w = n + -64. Calculate the common denominator of 5 - (2 + (-182)\/12) and w.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 19036.\nAnswer: 2, 4759","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve -147*h = -2*t - 142*h, t - 5*t - 2 = -h - 2 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence km when two letters picked without replacement from ddhmmdkdmmhdhd?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 1220317792 and 64?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from zhzzzhhzhhhhhhhhzhh. Give prob of picking 1 h and 2 z.\nAnswer: 65\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 2109417 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let x(b) = -10*b + 2*b**3 + 2*b**2 + 16 - 6*b**2 - 10*b**2 - 15*b**2 - 39*b. What is x(16)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -10, 2, -37 in decreasing order.\nAnswer: 2, -10, -37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -10, -3\/7, 153\/10?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 58435 + -27234. What is the ten thousands digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4, 1, 4, 3, 51, 42.\nAnswer: -4, 1, 3, 4, 42, 51","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let f(q) be the first derivative of -q**4\/2 - 980*q**3\/3 + 2823. Factor f(p).\nAnswer: -2*p**2*(p + 490)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -3*z**2 + 0*z**2 + z**2 + (z + z + 0*z)*((-25 - 19*z + 25)*(-3 + 2 + 3) + 0*z - 4*z + 3*z).\nAnswer: -80*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 20 and 96.\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 1372, 1382, 1398, 1420?\nAnswer: 1448","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 12495 and 75.\nAnswer: 62475","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 1.1 and -0.21.\nAnswer: -0.231","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 0.037 - -3.963. Put 1\/3, -2, i in increasing order.\nAnswer: -2, 1\/3, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 100 - 51 - 49 - 2*l.\nAnswer: -2*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let t(b) = 22*b**2 - 64306*b - 128622. What is t(-2)?\nAnswer: 78","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 204 + -369. Let t = -93 - q. What is the tens digit of t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(x) = x. Let a(f) be the first derivative of -5*f**3\/3 + 17. Determine m(a(q)).\nAnswer: -5*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*a + 3*y = -12 + 3, 3 = -y. Let r(k) = 3*k**2 - 387*k + 7 - 2*k**2 + 387*k. Calculate r(a).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 466 minutes after 7:25 PM?\nAnswer: 3:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -171\/5 - -34. Let d = -18.4 - -18. What is the biggest value in d, r, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.4467903t in milligrams?\nAnswer: 446790300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sort -33, -462, 210.\nAnswer: -462, -33, 210","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 4*-28*(170\/(-20) + 4).\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -433 + 433. Solve r = l + 6*l - 21 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -42 + 113. Suppose l*c = 69*c - 44. What are the prime factors of (c + 18)*186\/(-8)?\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(q) = 7*q**2 - 8*q - 1. Let x be (-1 - -3)*1*-2. Let m(t) = -20*t**2 + 23*t + 2. Let g(v) = x*m(v) - 11*w(v). Does 7 divide g(2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -x - 504 = 4*c, -5*x - 1512 = -2*x - 2*c. Let m = -269 - x. What is the hundreds digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-52)\/6*(-612)\/82212?\nAnswer: 2\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 17930372 is divided by 38?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -155 + 238. What is the tens digit of t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 79.28 - -0.72. Let b = s - 79.937. Round b to 2 dps.\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -a (base 12) to base 2.\nAnswer: -1010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let m(j) = 5*j**2 - j + 10. What is the hundreds digit of m(-7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 18461 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 8003813 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 104780, 209563, 314350, 419141, 523936, 628735, 733538?\nAnswer: 838345","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*c**2\/2 + 153*c - 303\/2.\nAnswer: -3*(c - 101)*(c - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 41*f - 81*f - 48*f - 46*f.\nAnswer: -134*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let s(n) = -n**3 - 27*n**2 + 55*n + 855. Let b be s(-28). What is the highest common factor of 22 and b?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 z, 1 q, and 1 p when three letters picked without replacement from {p: 5, z: 4, q: 1}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -828*k + 832*k + 711 = 5*j, 0 = -2*j + 3*k + 290. What is the greatest common divisor of j and 45175?\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*t - 3*t + z - 2 = 0, -3*z + 6 = 4*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*z**2 + 2*z - 2*z)*(z**2 - z**2 + 3*z**2) + 3*z**4 - z**4 - z**4 + (13*z**2 + 10*z**2 + 15*z**2)*(-4*z**2 - z**2 - z**2).\nAnswer: -236*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 10 and 25?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let n(i) = -i**3 - 10*i**2 - i + 9. Calculate n(-5).\nAnswer: -111","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (4 + (-12)\/3)\/(-1). Suppose 3*m - 45 - 6 = r. What is the remainder when 148\/3 + 6\/9 is divided by m?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(g) = g**2. Let u(s) = 3*s + s - 7*s + 28 - 25. Calculate i(u(r)).\nAnswer: 9*r**2 - 18*r + 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve -36 = -5*d - 4*t, -3*d = -22*t + 18*t + 4 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 34 + 1 = -5*t. What is the nearest to t in -2\/13, -3\/8, 4?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 25 + -37. Suppose 0 = -33*n + 241 + 155. Let u be (-4)\/g*(n + 3). Solve -f = -3*a + u - 1, 4*a + 5*f + 20 = 0 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-8)\/36 - (1 + (-166)\/18). Suppose 2*x + 2 = s. What are the prime factors of (x\/6)\/((-1)\/(-256))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 39 times 56?\nAnswer: 2184","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 113698 is divided by 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2*sqrt(2))**2 + 3 + 3 + 1*sqrt(4)\/sqrt(2)*1.\nAnswer: sqrt(2) + 14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0586997 rounded to two decimal places?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 4322\/10 - 9\/45. Suppose -5*t + x + 303 = 0. Suppose -2*m - t = -549. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(t) be the third derivative of 0*t**5 + 7\/6*t**3 - 1\/105*t**7 + 0*t + 0*t**4 + 0 + 0*t**6 + 7*t**2. Find the first derivative of g(z) wrt z.\nAnswer: -8*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(x) = -x. Let u(f) be the first derivative of -5*f**2\/2 + 29. Determine o(u(w)).\nAnswer: 5*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 1854765356 to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 8 a factor of 28071?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 18 + 22. Suppose -7*w + 10*w = 60. Calculate the lowest common multiple of w and n.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 5, -3, 2\/15, -5, -30, 914.1, 3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let s(n) be the third derivative of -n**4\/4 + 20*n**2. Let q(h) = -2*h. Determine s(q(t)).\nAnswer: 12*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 58*l - 61*l + 18 for l.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 646 minutes after 7:22 AM?\nAnswer: 6:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -117 + 117.0139. What is g rounded to three dps?\nAnswer: 0.014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -o - 4*l + 25 = 7, 3*o = -4*l + 22. Let m = 4636\/273 - 222\/13. Which is the biggest value?  (a) -4  (b) m  (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -37 (base 8) in base 2?\nAnswer: -11111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 23515 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*g = -3*q - g - 7, 2*g = -2. Let f(b) = b**3 + 2*b**2 - 12*b + 15. Let y be f(-5). Let a be 8\/12 + (-14)\/(-6). Sort y, a, q.\nAnswer: q, y, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -0.1, 0, -1, 4, 112?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of 106, 95, 76, 49, 14?\n\"Answer: -4*k**2 + k + 109","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let v(z) = 33*z - 71. What is v(3)?\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 296637061 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 110274.\nAnswer: 2, 3, 18379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: 203101 (base 6) to base 14\nAnswer: 5cbb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 5*-31.26.\nAnswer: -156.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {c: 4, i: 1, r: 2, x: 2, u: 1, a: 2}. What is prob of picking 1 u, 1 r, and 1 x?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let w(d) be the first derivative of 29*d**2\/2 + d - 1. Let t be w(1). Suppose -t + 78 = 3*a. What are the prime factors of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(b) = 0*b**2 - b**3 + 0*b**2 - 15 + 9*b + 5*b**2. Let t be (-31 + 1)*34\/(-170). Let q be c(t). Solve -2*w - 13 + 6 = -q*l, 11 = -l - 2*w for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*d + 20 = 5*r - 0*d, 3*d - 16 = -4*r. Suppose 5*s = -2*a + 121, 5*a - 56 = -r*s + 51. Calculate the highest common factor of 23 and s.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many decades are there in 9\/10 of a century?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1.08?  (a) 0.1  (b) -4  (c) 1\/11  (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1035*y = -1012*y - 161. Let s(a) = -4*a + 1. Let z be s(2). What is the remainder when 1\/z + (-549)\/(-21) is divided by y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -0.08 + 11.08. Let j = i - 16. Which is smaller: 1 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from hyqyhyqqzcyry. Give prob of picking 1 y and 1 c.\nAnswer: 5\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let d(k) = 4*k**2 + 5*k - 5. Let m(f) = -12*f**2 - 16*f + 16. Let v(u) = -16*d(u) - 5*m(u). Let r(c) = 12*c**2. Let a be (7\/2 - 1)*2. Give a*r(i) + 16*v(i).\nAnswer: -4*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 4248 or 8497\/2?\nAnswer: 8497\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -38 + 39. What is the nearest to -2 in -0.5, z, 2\/11?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1?  (a) -3  (b) -2\/5749  (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2558 is divided by 16.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.830542 millennia to centuries.\nAnswer: 8.30542","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.5608 minus -557.886098?\nAnswer: 558.446898","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 2\/4 - 30\/44. Let w = -25 + 17. Let a = w - -11. What is the biggest value in a, -4, h?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -3181217 > -3181217?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -1959 - -7837\/4. Factor 1\/4*c - 1\/2*c**4 + 0 + 0*c**3 - d*c**5 + 1\/2*c**2.\nAnswer: -c*(c - 1)*(c + 1)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 51884 and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 8 is divided by (-30)\/(-25)*10\/4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 10 - 0. Solve -j + 3*j = 4*a + 22, 2*j - b = 0 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of -1036746, -1036747, -1036748, -1036749, -1036750, -1036751?\n\"Answer: -h - 1036745","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let t be -1 - (32\/(-6))\/4. Let n = -283 - -280. Which is the nearest to t?  (a) 0  (b) 4  (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 344568502 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*x + 4*a + 3542 = 0, -31*x - 3*a + 1403 = -29*x. Suppose p + 452 = x. What is the units digit of p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of -17422356, -17422393, -17422430, -17422467, -17422504?\n\"Answer: -37*t - 17422319","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 29 + -29. Solve b = 5*g - 3*r - 14, -r = -g + r + 7 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(a) = -8*a**2 - 4*a - 7 - 4*a - 770*a**3 + a**2. Let o be g(-6). Suppose 19109 - o = -3*c. What is c rounded to the nearest 10000?\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 1189.79383 to the nearest ten.\nAnswer: 1190","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let d(m) = -3*m**2 - 968*m + 1913. Let w(b) = -b**2 - 322*b + 638. Let g(u) = 2*d(u) - 7*w(u). Solve g(l) = 0 for l.\nAnswer: -320, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2184620?\nAnswer: 2, 5, 19, 5749","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -168.8 and 0.03?\nAnswer: -5.064","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-6 - 2 + 5)*(-1 + 3 + 0)*(3*s - 2*s + 0*s).\nAnswer: -6*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Sort 4, -23, 3, 1, 45 in descending order.\nAnswer: 45, 4, 3, 1, -23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 11111010 - -10111100?\nAnswer: 110110110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8 = -3*h + 5*t, 4*h = -t + 11 + 9. Sort -5, h, 5 in decreasing order.\nAnswer: 5, h, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be ((-52)\/(-8))\/(((-27)\/(-138))\/(-9)). Let h = d + 741. Is 13 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 10 - 9. Let u = 11 + z. What is the greatest common factor of 24 and u?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(j) = -273*j + 9. Let c be m(-6). Suppose -c + 7065 = 2*y. Let d = y - 5129. What is d rounded to the nearest one hundred?\nAnswer: -2400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((d\/(d**(-7)\/d))\/d*d**(-1\/4)\/d)\/(d*d*d**(-8)*d*d**(-15)) assuming d is positive.\nAnswer: d**(107\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*x + 4*o = 56, o = -4*o - 5. Suppose a = -0*a - 4, 3*a = 2*k - x. What is the highest common divisor of k and 32?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 64667 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Work out -23.8 * -0.1.\nAnswer: 2.38","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from pusuuupughph. What is prob of picking 1 u and 3 p?\nAnswer: 1\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: 0.0114369 * -0.3\nAnswer: -0.00343107","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -38 = 4*f - 66. Let a(o) = 2*o. Let j be a(-3). Let c(s) = -s**2 - 9*s - 7. What is the smallest common multiple of f and c(j)?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((t**(1\/2)*t*t)\/t)**(4\/5))**(5\/3)*t*t*t\/(t*t**2)*t**(2\/7)*(((t*t*t\/t**4*t*t*t)\/t)\/t)\/(t\/((t*(t*t**(-1\/5)*t)\/t)\/t*t)) assuming t is positive.\nAnswer: t**(108\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {z: 9, v: 2}. Give prob of sequence zzvz.\nAnswer: 7\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 2.41 plus -1.2?\nAnswer: 1.21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-5 + (-20)\/(-5))*191. Calculate the common denominator of -9\/10 and -2 - (6 + w\/42).\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(v) = -16*v**2 + 140*v + 49. Calculate u(9).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (8\/26)\/(281\/((-178997)\/364))?\nAnswer: -7\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (2 + 10\/(-4))*(-1 + -31). Let t = 67 - 3. What is the highest common divisor of t and k?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -4, -1\/1663, 0.3, 0.4, -2\/3 in descending order.\nAnswer: 0.4, 0.3, -1\/1663, -2\/3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: 101 - 64 - (-60 + 46)\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 36 take away 3864?\nAnswer: -3828","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -524*q - 529*q - 530*q - 6*q**2 + 2074*q - 500*q.\nAnswer: -6*q**2 - 9*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let k(y) = -18*y - 217. Determine k(-11).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let u(y) = -10*y**2 - 13*y - 15. What is u(-2)?\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let w(r) be the second derivative of -18*r**3 - 15*r**2\/2 + 3358*r. Let j(d) = 3*d. Calculate j(w(x)).\nAnswer: -324*x - 45","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 3322 and 104794.\nAnswer: 302","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: How many nanoseconds are there in 11\/10 of a microsecond?\nAnswer: 1100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -13*p - 6*p**2 + 4*p**2 + 13*p.\nAnswer: -2*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 118098*t**2 - 98001 wrt t.\nAnswer: 236196*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 181 (base 12) in base 16?\nAnswer: f1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 651 and 3192?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 4 minutes before 4:28 PM?\nAnswer: 4:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let t(a) = 2*a**2. Let v(c) be the first derivative of -c**2 - 21. What is t(v(h))?\nAnswer: 8*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve -50271 - 18449 = -495*g + 4234*g + 193010 for g.\nAnswer: -70","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 1 + -1. Suppose -p + 8 = -a. Suppose -4*s - 5*q = s - 25, -p = -4*q. Solve y + 14 = s*f + 2*y, 0 = -3*y - 3 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -n**3 - n**3 + 3*n**3 + (-n**3 + 2 - 2)*(-1 + 6 - 3) + n**3 - 4*n**3 + 5*n**3 + 0 - 2*n**3 + 0.\nAnswer: -n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 39302 = -145*h + 39592. Let r(m) = -9. Let y(t) = t + 26. Let b(c) = -8*r(c) - 3*y(c). What is the lowest common multiple of h and b(-5)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(s) be the first derivative of -3*s**4 + 4*s**3 - 4. Let r(x) = 4*x**2 - x**3 - 14*x - 3*x**2 + 14*x. Let p(k) = -g(k) + 15*r(k). Solve p(y) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 20 - 18. Let o = h + -2.05. What is the second biggest value in 4\/7, o, 5?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 1 or -2\/1103806291?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.2997 in -2\/5, -2\/11, -3?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (-1 - 4)*((-3)\/(-5) - 0). Let g(r) = r - 2. Let j(l) = -1. Let c(i) = b*j(i) + 2*g(i). Let m(u) = u**2 - 4*u - 4. Let z be m(4). What is c(z)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -511 + 262 + 258 - 2*k**2 + k to the form x + b*k**2 + n*k and give n.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -120344916, -240689821, -361034726, -481379631?\nAnswer: -601724536","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {d: 3, u: 8, w: 2, x: 4}. What is prob of picking 2 w?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -15  (b) -3.9  (c) 3\/8  (d) 6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from ppqqppqqqqppqppqqqpq. Give prob of sequence qpp.\nAnswer: 11\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 184\/(-12) - 2\/(-6). Let z be 10\/(-5)*q\/6. Let n be (z - 1)*(-9)\/(-12). Let l(g) = -g**3 + 3*g**2 + g - 3. What is l(n)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 1\/10904641 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 4\/3 - (-4)\/6. Suppose 5*j - f - 8 = 2*f, -u*j = f - 1. Solve -k - 2 = -j for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*b - 0 + 15. Let h(m) be the second derivative of 3*m**3\/2 - 9*m**2\/2 - 2*m. Let a(f) = -13*f + 13. Let y(i) = 5*a(i) + 7*h(i). Determine y(b).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: ((-122 - -32) + 3 - -40) + -46\nAnswer: -93","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 59 + -55. Let t = 105.1 + -101. Let p = m - t. Which is the third biggest value?  (a) p  (b) -1\/6  (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -5.252 - -0.342. Let x = h - 0.09. Let z = -1 + 0.6. Which is the smallest value?  (a) 5  (b) z  (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -58.4 - -51.292. Round n to one decimal place.\nAnswer: -7.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {e: 6, t: 12, m: 1}. What is prob of sequence te?\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1\/14, -0.4, -3\/4, 4, 3 in decreasing order.\nAnswer: 4, 3, -1\/14, -0.4, -3\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -40 = 5*u + 80. Which is smaller: u or -25?\nAnswer: -25","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 133*p - 34*p = -1540 + 649 for p.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the seventh biggest value?  (a) -3  (b) -2\/5  (c) 0.3  (d) -5  (e) 12\/5  (f) -1\/55172  (g) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let m(o) = -29*o**2 + 4*o + 4. Let t(f) = 88*f**2 - 11*f - 11. Let x(c) = -169*c + 2362. Let l be x(14). What is l*t(d) - 11*m(d)?\nAnswer: -33*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 28495 is divided by 2174.\nAnswer: 233","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 1365 - 4094\/3. Find f, given that -1\/3*f + i*f**2 + 0 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ns when two letters picked without replacement from nnnslrr.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let n(z) = 15*z - 1. Suppose 0 = 4*l - 4*k - 32, 4*k = 2*l - 6*l + 8. What is the remainder when n(1) is divided by l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 0 + 0 + 27468\/(-365). Let p = -588\/73 - k. Factor 192\/5*m - p*m**3 + 32\/5 + 98\/5*m**4 + 176\/5*m**2.\nAnswer: 2*(m - 2)**2*(7*m + 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -10502 + 10505. Let f = 131659632 - 65059632. Suppose 0 = c*k + 6*k + f. What is k rounded to the nearest 1000000?\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 43988?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -k**4 + 7416047*k**2 - 17250929*k.\nAnswer: -12*k**2 + 14832094","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -a - 7?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (-1)\/(-1*2\/4). Let k be (-52)\/(-72) + (-4)\/18. Factor 0 + 1\/2*d**3 + d**j + k*d.\nAnswer: d*(d + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 768136 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -12*q - 4*q = -11*q. Sort 10, -2, q, -3 in descending order.\nAnswer: 10, q, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 561741500 rounded to the nearest 1000000?\nAnswer: 562000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 2856531, 5713148, 8569767, 11426388?\nAnswer: 14283011","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 6\/(-24) - 21\/(-4). Suppose -12 - 8 = -h*q. Sort 0, 1, q in ascending order.\nAnswer: 0, 1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*p = 16 + 131. Let z = -49 + p. Suppose -q + z*q = 2*q. Solve -3*i = -5*b, 2*i - 5*b = -q*b for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((v*v**(2\/9))**(-2\/69)*v**(-15)\/v**(1\/7))**(-8\/5) assuming v is positive.\nAnswer: v**(105568\/4347)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 812.626252 rounded to 1 dp?\nAnswer: 812.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Product of -0.3 and -774.6.\nAnswer: 232.38","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 4.865 times -0.08941?\nAnswer: -0.43497965","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((u*(u**(-1)*u)\/u)**(-1\/33)\/(u**(2\/3))**4)\/(u**(-1\/4)*u\/((u**(-1)\/u)\/u)*((u**(-1\/3)\/u)\/u)**(-2\/67)) assuming u is positive.\nAnswer: u**(-5215\/804)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 493825 or 494132?\nAnswer: 493825","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of 100666, 200346, 300026, 399706, 499386, 599066?\n\"Answer: 99680*j + 986","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((b\/((b**(-10)\/b)\/b*b)*b)\/b**9)**9 assuming b is positive.\nAnswer: b**36","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Does 15 divide 18034?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -c - 1 + 0 = -5*l, -4*l - 30 = -3*c. Let k = 4 - -1. Solve -x - 7 = u - 0, -2*x + k*u + c = 0 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 3 divide 14658916?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let d be ((-3)\/(-5))\/(3\/15). Suppose -4*o + 130 = o + 5*h, -o + d*h = -46. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 73176?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let c(z) = 415*z**2. What are the prime factors of c(1)?\nAnswer: 5, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 32 + (-23 - -4) - (-6 + -11)?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let g(n) = -5 + 15 + 4*n - 7 + n**2 - 4. Let j be g(-5). Suppose 0 = w + j*m - 37, w + 3*m - 99 = -w. What is the tens digit of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((((b**1\/b)\/b)\/b)\/b)**(3\/29))**(-13) assuming b is positive.\nAnswer: b**(117\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.3 + -361.6.\nAnswer: -361.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is -6590 (base 10) in base 4?\nAnswer: -1212332","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -14*a = -13697 + 985. List the prime factors of a.\nAnswer: 2, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -10*q + 493 = 204*q + 5415 for q.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let y(q) = q**2 - 21*q - 18. Let r(v) = -2*v - 2. Let w(t) = -4*r(t) + y(t). Give w(15).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 599 minutes before 7:53 PM?\nAnswer: 9:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let x(g) = -g**3 + 7*g**2 + 5*g - 1. Suppose 2*p = 64 + 4. What is the remainder when x(4) is divided by p?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-3*sqrt(1900) + 1 + sqrt(304))*2 - ((1*sqrt(190))\/sqrt(5))\/(sqrt(200) + sqrt(200)*-2))**2.\nAnswer: -1038*sqrt(19)\/5 + 5118259\/100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -6*m**4 - 23*m**3 + 1410 wrt m?\nAnswer: -24*m**3 - 69*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 100*w - 336*w - 246*w - 132*w = 5*n - 15954, 16 = 5*n + w for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Does 9 divide 47826?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {a: 8, n: 1, l: 9, w: 1}. What is prob of sequence lw?\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1480?  (a) -1  (b) -4  (c) -2\/467\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 21 = -3*l + 4*l - 2*n, -3*l + 2*n = -67. Suppose 3*f - 20 = w - f, 0 = -2*w - 4*f + 20. What is the remainder when 91 is divided by w - l*1\/(-1)?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 30 + 203?\nAnswer: 233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let b(v) = -29*v + 969. Let a be b(33). Let h(t) = -t + 16. What is h(a)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*r - 4*j = 28, 2*j = 4*r + 4*j - 76. Does 6 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 21.5 - 6.7. What is x rounded to 0 decimal places?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9 = 3*n + 3*m, 0 = -3*n - 2*m + 1 - 10. Let f(c) = 2*c + 2*c**2 - c - 2*c - 3. Let p be f(n). Calculate the greatest common factor of p and 54.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2 - 5 = 3*d for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 103 a factor of 3481400?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let v(c) = c**3 + 5*c**2 - 6*c + 4. Let y be v(-6). Suppose -2 = -w - 0*w + t, -3*w = -2*t - y. Solve -3*m + 3 = -w for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -16*q**3\/3 - 6544*q**2\/3 + 6580*q - 4944 = 0. What is q?\nAnswer: -412, 3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1\/3?  (a) 1\/5  (b) 2\/743  (c) 113\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let l(f) = -f**2 + 8*f + 12. Is l(9) even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 2\/5, -4, -0.025, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let f(k) = -k**3 + 5*k**2 - 4*k + 5. Let z = 146 + -141. Give f(z).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 52245 divided by -5.\nAnswer: -10449","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 225730 is divided by 1980?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-4)\/(1\/(-1))*1. Suppose 0*k - z*k = 0. Solve -2*c + 4*a = -10, a = -4*c - k*a + 2 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(g) be the second derivative of -35*g**3\/6 - 97*g. Let v(c) = -2*c**2 - 3*c. Let z(w) = w**2 + w. Let j(a) = v(a) + 3*z(a). Give s(j(n)).\nAnswer: -35*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 3\/(2*2 + (-160)\/64). Sort -5, -2\/5, t, -0.16 in descending order.\nAnswer: t, -0.16, -2\/5, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1192552045.7 less than -0.04?\nAnswer: 1192552045.66","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 420851?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let y be ((-12)\/(-16))\/3*4. Suppose 2*b - 15 - y = 0. Suppose 117 = -b*a + 4477. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {r: 5}. What is prob of sequence rrr?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 0.02 + -1.02. Let y = 4.3003 + -1.3003. What is the smallest value in -2, 0.4, l, y?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(o) = 93*o - 4367. Calculate j(47).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -77*n + 38 - 276 = 42*n for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((6*(sqrt(540) + (sqrt(540) - (sqrt(540) - (1*sqrt(540) - sqrt(540))) - sqrt(540)))*1)\/(-3*(sqrt(3) - 3*sqrt(3)) + -1*sqrt(12)))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let k(j) = 7*j**2 - 3*j + 3. Let l(i) be the first derivative of -i**3 + i**2\/2 - i + 9. Determine 2*k(n) + 5*l(n).\nAnswer: -n**2 - n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 t and 1 b when two letters picked without replacement from bblbbsbbbbbstlbssbb.\nAnswer: 4\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let g(z) = -z**2 - 7*z. Let p be g(-3). Suppose r + t = 2*r - p, 5*r = 4*t + 56. Suppose r*u = 10*u. Which is the nearest to -1?  (a) u  (b) -1  (c) 7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10 = 13*z - 18*z. Suppose -4*d = -3*t + d + 1446, 5*d = -z*t + 989. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 693 - 17*a**4 - 693 + (-5*a**2 + 4*a**2 - a**2)*(1 + a**2 - 1) + (-3 - 2*a + 3)*(-2*a**3 - 3*a**3 - 4*a**3).\nAnswer: -a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose j - 10 = -2*r, 110*r - 24 = -4*j + 106*r. Solve x + 25 = 7*f - j*f, -5 = -f + x for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((t**(-1)\/t)\/t)\/t**(1\/4))**(-2\/5))**(-47) assuming t is positive.\nAnswer: t**(-611\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 4285.666 or -2\/7?\nAnswer: 4285.666","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1 + (-2 + -4*(sqrt(700) + -3*sqrt(700)) + -6*(0 + sqrt(700))*4)**2.\nAnswer: 640*sqrt(7) + 179203","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let w(c) = -3*c**3 - c**2. Let i = -10 + 9. Let z be w(i). Suppose -4*v - 5*x + 78 = -2*v, z*x - 153 = -5*v. Calculate the remainder when v is divided by 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 6 in 4, -4, -4\/3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let f(b) = 11*b**3 - 2*b**2 - 2*b - 1. Let w be f(-1). Let i(h) = -h**2 - 13*h - 10. Let p be i(w). Solve 2*g - p*d = -g + 9, -9 = -3*g - 3*d for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -40721 (base 13) to base 12.\nAnswer: -56992","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 82278 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 2\/5?  (a) 2\/3  (b) -867  (c) 1128\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.1 in 14, 1, 2\/9, -4?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let b(z) = -z**2 - 955*z - 3802. Calculate b(-4).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let j(b) = -b. Let q(g) be the second derivative of 283*g**4\/12 + 4*g**2 + 3736*g. Determine j(q(a)).\nAnswer: -283*a**2 - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 27 + -16. Let c be 144\/(-21 + 45) + -8. Put -3, d, c in increasing order.\nAnswer: -3, c, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: 10 (base 11) to base 9\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:18 AM and 9:21 AM?\nAnswer: 123","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 5332?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 6542219 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let p(s) = -s**2 + 1060. Let m be p(0). Let y be 182\/39*6\/4. Suppose y = z - m. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: 25d7b7 (base 14) to base 12\nAnswer: 52b205","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Convert 10001010010101100000 (base 2) to base 4.\nAnswer: 2022111200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -6*c + c + 4*c - 4*c + 4*c.\nAnswer: -c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let l(k) = -206*k**3 + 2*k**2 - 1. Let s be l(-1). What is the greatest common factor of s and 23?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 4*g + 42*g**2 + 46*g**2 - 4*g.\nAnswer: 88*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let v(t) = t**2 + 3*t - 95. Let h be v(0). Let w be (8\/(-5))\/(38\/h). Solve 19 = -w*i - p, p + 12 = -2*i + 1 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 22 divide 9747155?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 16 a factor of 19664?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Determine t so that -95*t**4 - 4530*t**3 + 127815*t**2 + 5475250*t - 11424000 = 0.\nAnswer: -51, -640\/19, 2, 35","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2\/13 + 38\/13*n**2 - 16\/13*n - 20\/13*n**3 = 0. Calculate n.\nAnswer: -1\/10, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between -12463700.46 and 8236?\nAnswer: 12471936.46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 54 and 24.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence hac when three letters picked without replacement from {l: 4, c: 4, h: 1, a: 1}?\nAnswer: 1\/180","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -10*v**3 + 9*v**3 + 82*v**3.\nAnswer: 81*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Round -192.97052 to one dp.\nAnswer: -193","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 24 + -7. Let s(o) = o**2 - 17*o + 21. Let a be s(r). Suppose 2*m - 1 = 9. Solve 0 = -4*j + m - a for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be -2 - (-6 + -1) - 0. Suppose -16 = 5*q + 5*r - 41, 3*q - w*r = -9. Find the third derivative of -5*b**6 - q*b**2 + 7*b**6 + b**2 wrt b.\nAnswer: 240*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*h**2 + 0*h**2 + h**2)*(-2 - 2 + 5) + 68 + 3*h**2 - 68 + h + h**2 - h + (2*h - 1 + 1)*(-3*h + 4*h - 3*h) - 2*h**2 - 4*h + 4*h.\nAnswer: -4*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 21303?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 150345 is divided by 4062?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -2.500000651 - -2.5. Round a to 7 dps.\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -226043354 divided by 4?\nAnswer: -113021677\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let c(b) be the third derivative of b**6\/720 - b**5\/120 - b**4\/24 + 2*b**3\/3 + 63*b**2 - 3*b. Let j(s) be the second derivative of c(s). Calculate j(-9).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(f) = -5*f**2 + 11*f + 14. Let r be k(-4). Is -109 at least as big as r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 209 - -8. Suppose 0 = 10*w + 47 - l. Calculate the remainder when w is divided by 13.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2053 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let b(o) = o**3 - o**2 + o + 1. Let i be 2\/3*(-36)\/(-24). Let c(m) = -4*m**3 + 0 - 1 - 4 + 3*m**2 - 7*m. What is i*c(q) + 5*b(q)?\nAnswer: q**3 - 2*q**2 - 2*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 4.9 + -5. Let h = 0 + q. Which is smaller: h or 0.01?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 4 + 16. Suppose 4*v - 17 = 5*i + 2, 5*i + 10 = -5*v. Let f = 3 - v. Solve 5*b - f = -2*c + 3*b, 4*b - m = 0 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: -3448 * -0.05\nAnswer: 172.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -i - b = 659, 5*i - 4*b = -0*b - 3304. What is the common denominator of ((-3295)\/i + -5)*(0 - 122) and -23\/6?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 5 != 65?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 6610?\nAnswer: 2, 5, 661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 36 a factor of 4932?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.0424 in -2\/55, -1, -5?\nAnswer: -2\/55","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:36 AM and 10:12 AM?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (11 - 1) + (-4 - 12)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 369857492.\nAnswer: 2, 109, 848297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 224630917.\nAnswer: 7, 2113, 15187","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let k(w) be the third derivative of w**6\/60 - w**4\/12 + 4*w**2. Suppose k(l) = 0. What is l?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*g - 292 = -2*h, 3*g + 421*h - 423*h = -437. Which is greater: -144 or g?\nAnswer: -144","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 595965.004 rounded to the nearest 1000?\nAnswer: 596000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*y**4 - 3*y**4 + 4*y**4)*(y - 3*y + y) + y**5 + 12*y**4 - 12*y**4.\nAnswer: 3*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 1207615*r**3*v - 198*r**2 - 1949*r*v - 2*r wrt r?\nAnswer: 7245690*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 89 - 79. Suppose -k*d = -h - 9*d + 15, 5*h - 4*d - 72 = 0. Suppose 0 = 2*v + o - h - 39, -3*o = 15. What is the tens digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1 - 16 = -5*g. Solve -x = -4*p - g*x - 8, 0 = 2*p - 5*x + 16 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5 + sqrt(12)\/(sqrt(4) - (1*sqrt(196) + sqrt(4))) + (sqrt(75) + 0)*-6 + 3.\nAnswer: -211*sqrt(3)\/7 - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -1cb3 - -3?\nAnswer: -1cb0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from ggggggggggpgg. Give prob of picking 3 g.\nAnswer: 10\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((n\/((n\/(n*n**(-2)\/n*n))\/n))\/n*n)\/n*n\/n**(-1\/3)*(n**1)**(-1\/90))**(-3\/14))**22 assuming n is positive.\nAnswer: n**(-319\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-9)\/6*6 + 13 + -7.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -59682 divided by -58.\nAnswer: 1029","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let k(s) = -3*s - 16. Let a(g) = -g**2 + 108. What is a(k(f))?\nAnswer: -9*f**2 - 96*f - 148","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: How many milligrams are there in 35.77286 micrograms?\nAnswer: 0.03577286","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of c*t**2*y - 21*c*t**2 + 4*c + 2*t**2*y - y wrt t.\nAnswer: 2*c*t*y - 42*c*t + 4*t*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -14, 0.07, -3, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (38\/(-48) + 1)\/(28\/(-112)). Let p = 0.8 - 6.4. Let k = p + 0.6. Sort 1\/5, f, k.\nAnswer: k, f, 1\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -2.31895042 to one decimal place.\nAnswer: -2.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 85, 98, 149, 262, 461, 770?\nAnswer: 1213","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: ((-63)\/14 + 5)\/(0 + 1)\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is b in -2*b**5 - 148*b**4 - 2490*b**3 - 9968*b**2 + 29432*b + 81120 = 0?\nAnswer: -52, -13, -10, -2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let v(l) = -179*l**2 - 3*l + 2. Let f be v(-3). Let u be 6\/3 - f\/(-5). Let a = u - -501. What is the hundreds digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -188*v**2 + 25*v**2 + 116*v**2 - 2095*v - 688*v**2 wrt v.\nAnswer: -1470","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 33 divided by 8?\nAnswer: 33\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-k**2 - 16*k + 0*k**2 + 10*k)*(-136*k - 134*k + 227*k).\nAnswer: 43*k**3 + 258*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:48 PM and 12:12 AM?\nAnswer: 324","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let f(y) = 65*y + 4. Let x(w) = -154*w - 8. Determine -7*f(m) - 3*x(m).\nAnswer: 7*m - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -57022, -228136, -513338, -912628?\nAnswer: -1426006","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -97 - -98. Put t, 0.3, -1, -1\/6 in decreasing order.\nAnswer: t, 0.3, -1\/6, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*u**4 - 2005*u**3 - 61570*u**2 - 313880*u - 397440 = 0. Calculate u.\nAnswer: -368, -27, -4, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let s(w) = -w**3 - 289*w**2 - 1240*w - 887972. Calculate s(-295).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 954 and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*q = i - 31, 24*q - 28*q - 2*i + 44 = 0. What is the remainder when 655 is divided by q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(n) be the third derivative of -1\/16*n**3 + 1\/192*n**4 + 0 - 1\/960*n**6 + 1\/160*n**5 + 0*n + 5*n**2. Factor p(t).\nAnswer: -(t - 3)*(t - 1)*(t + 1)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 69740 and 83292?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let b(r) = 3*r + 1546. Give b(-9).\nAnswer: 1519","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 7690506612?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 2 a factor of 281?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let i be -8 - (-40 - (-84)\/(-12)). What is the greatest common factor of i and 507?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -14\/5*c + 2 + 4\/5*c**2.\nAnswer: 2*(c - 1)*(2*c - 5)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 3 - 3 - 2*b + (-6 + 2 + 3)*(0*b + 3*b - b) + (43 + 52 - 12)*(b - 5*b + b).\nAnswer: -253*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -96 + -95c70?\nAnswer: -95d16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1.6 in 5, 0.2, -14, 506?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -4 + 8. Let t = -1 + v. Let w be ((-1)\/3)\/(6 + -7). What is the third smallest value in w, t, 2\/7?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (b\/(b*(b*(b**4*b)\/b)\/b))\/(b**16\/b) assuming b is positive.\nAnswer: b**(-19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2\/5, 2\/9, -448, -1\/51, 1.4, 4 in ascending order.\nAnswer: -448, -1\/51, 2\/9, 2\/5, 1.4, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*t = -8 - 1, -3*f + 2*t = -9 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 112 - -111111000022?\nAnswer: 111111000211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2*(((sqrt(1539) + -1*sqrt(1539))*-6 + -3*(-2 + sqrt(1539)) + -3*(-1 + sqrt(1539)*2))**2 + -3).\nAnswer: -2916*sqrt(19) + 249474","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let f(z) = -21*z + z - 2 - 3 + 2. Let h be f(3). Let m = -29 - h. Does 17 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 r, 1 z, and 1 x when three letters picked without replacement from crrrrxcrrcrxxxzzzxx?\nAnswer: 42\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 824 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: Expand 0*q**4 - 2*q**4 + 4*q**4 + 0*q**4 - 2*q**4 + 3*q**4 + (-4 + 4 + 2*q**4)*(-4 - 3 + 6) + 5*q - 28 + 30 - 3*q - 2*q**4 - q**4 + q**4 - 6*q**4.\nAnswer: -7*q**4 + 2*q + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 1368460714?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 5.141 + 0.5?\nAnswer: 5.641","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 104370 or 2400512\/23?\nAnswer: 104370","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let d(g) = 6*g + 119. What is d(-13)?\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3 + 3 + -3*(-5 + ((sqrt(153)*-2)**2 - sqrt(153)) + ((sqrt(153) - sqrt(153)*-2)*-4)**2).\nAnswer: -67917 + 9*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 64 and 17462752.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let a be ((-3)\/20)\/(3\/418). Let i = -93\/10 - a. Let h = 2240\/3 - 753. Find the common denominator of i and h.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (26*l**2 + 30*l**2 - 34*l**2 + (-2*l + 0 + 0)*(-l - 2*l + 5*l) + l**2 + 0*l**2 + 0*l**2)*(1 + 0 + 2)*(3*l**2 - 2*l**2 - 2*l**2).\nAnswer: -57*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -101\/17794644 and 61\/4116?\nAnswer: 124562508","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 20313923 is divided by 42409.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*z + 4*n - 10 = 0, -4411*n - 14 = -z - 4414*n for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let l(z) = 2*z**2 + 1. Let u be l(-1). Suppose -4*n = 3*s - 40, -u*n + 36 = 3*s - 0*s. Suppose 3*f = s*f. Which is greater: 4\/5 or f?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine x so that x**3\/7 - 153385*x**2\/7 + 1227032*x\/7 - 350576 = 0.\nAnswer: 4, 153377","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: -426 divided by -167088\nAnswer: 71\/27848","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 18*u + 20*u - 39*u + (-1 + 0 + 2)*(-u + 0 + 0) to the form y*u + h and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 54478?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in fourty-five halves of a litre?\nAnswer: 22500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -0.719 - 2.151. What is k rounded to the nearest integer?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1\/4, -25, -42143 in ascending order.\nAnswer: -42143, -25, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Expand 1 + a**2 - 1 + (a**2 + a - a)*(0 - 4 - 3).\nAnswer: -6*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 271981428?\nAnswer: 2, 3, 19, 641, 1861","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Does 11 divide 154418?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 324851 to the nearest integer?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let u(a) = -4*a + 2*a - 2*a**2 + 0*a. Let j be u(-2). What is the tens digit of (-19)\/j*(0 + 4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 32 and 2104?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {v: 9, d: 2}. What is prob of picking 3 v and 1 d?\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 21*c - 937 = -4*i, -99 = -3*i + 2*c + 515. What is the greatest common factor of 2392 and i?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 10\/(4*(-2)\/4). Which is the second biggest value?  (a) 5  (b) -4  (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 30 a factor of 94900170?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is (30\/(-18))\/(9 + -2 - 29696\/4224)?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 34220 a multiple of 145?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let k be ((-76)\/12)\/((-2)\/(-6)). Let j = k - -19. Calculate the remainder when 96 + 0 - (j - 1) is divided by 25.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(144) + sqrt(144)*1)*6*4)\/(-1*1*sqrt(108)).\nAnswer: -32*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 19599*k - 19596*k - r + 16 = 0, -3*r = 5*k + 22 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 16\/9 + 2\/9*p**2 + 4\/3*p = 0 for p.\nAnswer: -4, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 1161 and 162?\nAnswer: 6966","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.2?  (a) -27  (b) 3  (c) -4  (d) -0.0389  (e) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let i(c) = -c - 7. Let p be i(-8). Let s(d) = 5*d**2 - p - d + 3*d + 5*d**2. Let u = -183 - -184. Give s(u).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 6\/(-3) - (-1 - 79). Let k = l + -56. Suppose -4*s = -78 - k. What are the prime factors of s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (-12)\/10*35\/14. Let x = 20 - b. List the prime factors of x.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 3050 - 3047. Let u(b) be the third derivative of -5\/6*b**4 + 0*b + 5\/3*b**a - 1\/48*b**6 + 0 + 10*b**2 + 5\/24*b**5. Determine y, given that u(y) = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 1864 and 1864.\nAnswer: 1864","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Factor -u**2 + 9012*u + 6373189.\nAnswer: -(u - 9671)*(u + 659)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.3 in -3\/11, 177, -15, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -19*v**2 + 34*v**2 + 3*v**2.\nAnswer: 18*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 984 - 984 + 87*o + o**2 + 29*o to the form p + u*o**2 + r*o and give u.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 67\/1542 or -1?\nAnswer: 67\/1542","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: 10 divided by -5\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -9427, -9453, -9491, -9547, -9627, -9737, -9883, -10071?\nAnswer: -10307","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0051855729 to 3 decimal places.\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 25522 and 10938?\nAnswer: 76566","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -1083 or -1088?\nAnswer: -1083","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let c(s) = -4*s + 34. Let f be c(8). Suppose -f*a - 4*d = 3*a - 132992, -3*d + 106394 = 4*a. What is a rounded to the nearest one thousand?\nAnswer: 27000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(j) = 2*j - 6. Let i(m) = 3*m + 20. Let w be i(-8). Calculate the lowest common multiple of f(8) and -3 + (w\/2 - -14).\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -91\/6 and -32\/131?\nAnswer: 786","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: -100110101010 (base 2) to base 4\nAnswer: -212222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 43046 to the power of 1\/2, to the nearest integer?\nAnswer: 207","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*v + z - 82 = -z, v + z = 29. Suppose 32 = -0*q + 2*q. Calculate the highest common factor of v and q.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 70*q + 223 = 677 + 176. Let l(w) = w**3 + 5*w**2 - w - 7. Let n be l(-5). What is the second biggest value in 4, n, 1, q?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 5 a factor of 8109292?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve -34 = -3*l + g, -59 = 10327*l - 10330*l - 4*g for l.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 464518920 - 32272?\nAnswer: 464486648","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -0.0202 + 48.2202. Let t = -31 - 17. Let k = x + t. Put k, -5, -4 in descending order.\nAnswer: k, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -196 + 106. Let p = k + 632\/7. Which is the third smallest value?  (a) p  (b) -1\/6  (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 9735 is divided by 1926?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let q(v) = 6*v**2 + 958*v + 37919. Determine q(-87).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 2?  (a) -5  (b) -2  (c) -0.16  (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 19\/92 + 1\/23. Which is the third smallest value?  (a) 5  (b) 2\/11  (c) -0.3  (d) r\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1 in -0.2, -5, -0.8, 0.2?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*k + 23 = -5*b, 3*k - 29 = 3*b - b. Suppose 28 = 42*z - 38*z + 4*a, -4*z + 23 = -a. Solve 0 = -2*f - 4*h + z, 2*f + 4*h = -h + k for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 41\/7 and 35\/17117234.\nAnswer: 119820638","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange c**4 + 18*c - c**2 - 2*c**3 - 18*c + 3 + 8*c**3 to q*c**2 + w*c**3 + r*c + a*c**4 + j and give q.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 3677763 and 220237?\nAnswer: 1949","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Expand 0*v**2 - v**2 - 6*v**2 + (1 - v - 1)*(-4*v + 5*v + v) + 27*v**2 + 23*v**2 - 16*v**2 + 2 - v**2 - 2.\nAnswer: 24*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*j - 56*j - 3723 = 0. Put -1\/8, j, -4\/7 in descending order.\nAnswer: -1\/8, -4\/7, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (3\/3)\/(6975\/186)?\nAnswer: 2\/75","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 6 and 79026?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (2*h - h - 3*h)*(-46 - 36 - 17)*(-h + 4*h - 5*h + 4) to the form p*h**2 + q*h + d and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -422*n**2 - 431*n**2 + 838*n**2.\nAnswer: -15*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 1258?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 13\/15 and 7\/66.\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -7 - 2*u + u**3 + 8 + 0*u - 3 + u**2 to the form b*u + o + w*u**2 + z*u**3 and give o.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 0 - 0 - (-76)\/8*2. Suppose -14*m = -u*m + 75. Solve -5*y + 0 = -m for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 101\/15560 and 1\/4341240.\nAnswer: 4341240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-3 - -3) + -1 + 5. Let q be (16\/5)\/(d\/150). Suppose -y = 3*y - q. Does 15 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: 678 divided by 6\nAnswer: 113","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 25798086*y + 52842141 wrt y.\nAnswer: 25798086","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 2 (base 11) in base 7?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((-3 + 3 + 1)*(18*t - 24*t + 18*t) + 3*t - 3*t - t)*((-1 - 2 + 4)*(2 + 1 - 4) + 4 - 16 - 17).\nAnswer: -330*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.152177ml in litres?\nAnswer: 0.000152177","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -800225 divided by 6.\nAnswer: -800225\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let x(k) = 542*k**4 + 3*k**2 - 600*k - 3. Let h(y) = -y**4 + y**2 + y - 1. Let p(v) = -6*h(v) + 2*x(v). Find the second derivative of p(g) wrt g.\nAnswer: 13080*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 18067277?\nAnswer: 17, 1062781","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let g(o) be the second derivative of -37*o**6\/30 - o**4\/12 + 4*o**3\/3 - o + 49. What is the third derivative of g(r) wrt r?\nAnswer: -888*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 13404972 to the nearest integer?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 53.5 and -9406?\nAnswer: -503221","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let z(u) = u**3 - 30*u**2 + 144*u - 221. Is z(48) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 8.140518 milligrams to nanograms.\nAnswer: 8140518","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((f**(-1)\/f)**(-42))**(-7)\/((f\/(f*f**7)*f)\/(f*f\/(f\/(f**(-3)*f*f)))*(f*f*f**(-1))**(-2\/49)) assuming f is positive.\nAnswer: f**(-28516\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -16323 - -1175203\/72. Calculate the common denominator of i and 103\/28.\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(z) = -z**2 - 4*z - 2. Let k be x(-2). Suppose -2*a + 46 = 2*q, 0 = 3*q + 4*a - k*a - 68. What is the highest common divisor of 11 and q?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -80220 to the nearest 10000.\nAnswer: -80000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 54 + 6 = 3*g. Suppose -18 - g = -2*v. Suppose -x + v = -17. What are the prime factors of x?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 124 and 62.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -48418548 or 0?\nAnswer: -48418548","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {l: 10, x: 2}. What is prob of sequence ll?\nAnswer: 15\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((y**(2\/21)*y)\/y)\/y*y**(-1\/6)*((y*(y*y*y\/y**(1\/9))\/y)\/y)\/(y*y**(-7)) assuming y is positive.\nAnswer: y**(859\/126)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 3605.68 seconds in microseconds?\nAnswer: 3605680000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 741\/14 at most 53?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 565 - 436.7. Round d to the nearest integer.\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -40515*c**3 + 16266*c**2 - 24*c.\nAnswer: -3*c*(5*c - 2)*(2701*c - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 35*f**5 - 550*f**4 + 2325*f**3 - 1250*f**2 - 5600*f - 1440 = 0. Calculate f.\nAnswer: -1, -2\/7, 4, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from ybyyhkhyyhykbhybyyky. Give prob of picking 3 b.\nAnswer: 1\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -542 - 2005?\nAnswer: -2547","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 53\/193344*-291*(1 + 22\/(-26)) and -71\/10?\nAnswer: 39520","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 119?  (a) 0.4  (b) 0.1  (c) 1  (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: 527 (base 8) to base 9\nAnswer: 421","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 3476278115 to the nearest integer?\nAnswer: 1515","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 1031 + -71143\/69. Let f = -118\/345 + a. Let z be (-10)\/8 - (-7)\/28. What is the third biggest value in f, 0.02, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 188 or -3?\nAnswer: 188","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let t(s) = -s**2 - 5*s - 3. Let p be t(-3). Let w be 12\/15*(-15)\/p. What is the smallest common multiple of 20 and ((-81)\/6)\/(3\/w)?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -36855 + 36864. Solve -74*q + 75*q = -g for q.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 143225617 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 14 - (15 + 35) - (4 - (10 + -8)).\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -3 + 3 + 2*q - 2*q - q + q + (4 - 4 - 2)*(-4 + 4 + q) - 2*q + q + 0*q + (-3 + 0 + 1)*(-7*q + 6*q - 14*q) to a*q + r and give a.\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ukk when three letters picked without replacement from ukss.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -1 - 0. Let k be (0 - a)*(-1 + 2). Let c be 3\/33*(11 - 7). Which is smaller: k or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 12974.61348 + -12975. Round n to 2 decimal places.\nAnswer: -0.39","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 40493 + 15.62.\nAnswer: 40508.62","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let u(t) = -225*t - 11706. Give u(-52).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 30525879 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: 35991 times 0.069\nAnswer: 2483.379","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 0.03 + -0.03. Let j = 2212\/9 - 246. Which is the nearest to j?  (a) -5  (b) p  (c) 2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(k) = k. Let b(o) be the third derivative of -o**5\/12 + o**4\/24 + 4*o**2 - 208. Determine a(b(g)).\nAnswer: -5*g**2 + g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Express a**2 - 9*a**3 + 16*a**3 - 4*a**3 - 6*a**3 in the form l*a**3 + x*a + m*a**2 + c and give l.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let t(c) = c**3 - c**2 + 31*c - 34. What is t(0)?\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -1344731\/4 + 339908. Let r = q - 3700. What is the common denominator of 47\/44 + (-1)\/(-4) and r?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(r) be the third derivative of r**5\/20 + 16*r**3\/3 - 22*r**2. Differentiate a(u) with respect to u.\nAnswer: 6*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 126 (base 8) to base 6.\nAnswer: 222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:56 AM and 1:08 PM?\nAnswer: 612","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 110*u + 47 - 40 - 227 = 0. Is u <= -0.9126?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -52*n + 45*n = 133. Let z be 3\/21 - n\/(-19). Let q be (-1 - -2)*-1 + 1. Which is bigger: q or z?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-2 - (0 + -2)) + -21 + -1 + (147 - 92)?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 24720?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 9791 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: How many nanograms are there in 3\/50 of a milligram?\nAnswer: 60000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence exll when four letters picked without replacement from {l: 2, x: 2, w: 1, e: 1}?\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 139461 and 438306.\nAnswer: 3068142","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*t - 4 = 3*k - 73, -k + 33 = 2*t. What is the remainder when 99 is divided by t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(k) = 32*k - 85. Calculate w(6).\nAnswer: 107","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Add together -0.0468719 and 23.\nAnswer: 22.9531281","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 1 + 0 + 3 + -3 + 1?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1800*h**3 + 5965080*h**2 - 397678*h + 6628 = 0. What is h?\nAnswer: -3314, 1\/30","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -38 - 60 = -7*r. Let k = r - -2. Let s be k\/5 + 6\/(-30). Solve -2*q = 5 + s for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of (-46)\/69*1314\/(-4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2 + 0 + 1)*(11023*m - 428 - 429 + 2257*m + 857).\nAnswer: -13280*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1287?\nAnswer: 3, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let x(b) = -4*b**3 + 42*b**2 + 97*b + 57. Let f(l) = 2*l**3 - 2*l**2 - l + 1. Let y(i) = 3*f(i) + x(i). Determine n, given that y(n) = 0.\nAnswer: -15, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -23*l + 89*l - 1032 = -106*l. Solve -120 = 18*u + l for u.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-62)\/(-2635)*55\/99*1*(-9)\/(-2)?\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 583 minutes before 9:03 AM?\nAnswer: 11:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 805108211 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 660708542?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -0.6453 and 0.11?\nAnswer: -0.070983","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -246, -252, -268, -300, -354, -436?\nAnswer: -552","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Convert -101011001010101101011 (base 2) to base 12.\nAnswer: -5826b7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*y - 3*y + 0*y)*(-607*y**2 - 1299*y**2 + 5*y + 250*y**2 + 67*y**2 + 0*y).\nAnswer: 1589*y**3 - 5*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve -19*t = 3 + 16 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3169975?\nAnswer: 5, 23, 37, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {g: 7, e: 3, j: 8}. What is prob of picking 4 g?\nAnswer: 7\/612","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 48.3444 rounded to zero dps?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*w + 1 + 17. Let i = -6 + w. What is the remainder when 5 is divided by i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 8\/48 + 29\/6. Solve j + 3*i = -9, -5*j = i + 4*i + o for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-2)\/10 + (1 - (-996)\/5). Suppose 0 = -5*p - 2*g + 1039, 0*p + p + 3*g = f. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0 divided by 3044.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 119822872 and 6734.\nAnswer: 962","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (882\/189*(-4)\/(-28))\/(4\/9).\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify a\/(a**5*a)*a**(-3\/10) assuming a is positive.\nAnswer: a**(-53\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of -19980, -39151, -58312, -77457, -96580, -115675, -134736, -153757?\n\"Answer: j**3 - j**2 - 19175*j - 805","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 65.309 - 0.209. Let z = r + -60.1. What is the nearest to 20 in 1, 3, z, -3?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 218 divided by 6\nAnswer: 109\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -4022207*g**6 - 72*g**5 - 5056*g**2 - 38*g + 25 wrt g?\nAnswer: -482664840*g**3 - 4320*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3 + 3 - 7*t**2)*(2*t**3 + 2 - 2) + t**5 - 3*t**5 - 6*t**5 + (0*t - 2*t + 0*t)*(-2 + 2 - 2*t**4).\nAnswer: -18*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose s + 18 = 2*s. Let a(y) be the second derivative of y**4\/12 + y**3\/3 - y**2\/2 - 2*y. What is the lowest common multiple of s and a(3)?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*v + 3 = -3. Suppose v*w - w + 31 = 5*i, 5*w = -3*i. Let a(p) = 2*p + i*p - 8*p. Let c(z) = z. What is a(c(b))?\nAnswer: -b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Express 23 - 54*q**2 - 2*q**4 - 17 - q**2 in the form b + a*q**3 + r*q**4 + z*q + u*q**2 and give r.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: -20102210 (base 3) to base 5\nAnswer: -122232","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 224531 is divided by 25.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 663 minutes after 4:29 AM?\nAnswer: 3:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.3 in 2\/31, -199\/714, 0, -1\/4?\nAnswer: 2\/31","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*g = g. Suppose -s + g = 16. Let v = 37 + s. What are the prime factors of v?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3*d - 64*d**2 + 92*d**2 - 26*d**2.\nAnswer: 2*d**2 - 3*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Factor -1\/5*a**3 + 0 - 36*a**2 - 179\/5*a.\nAnswer: -a*(a + 1)*(a + 179)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-12)\/(-2)*3244\/12. Let j be d\/9 - (-4)\/(-18). Let i = -61 + j. What is the remainder when i is divided by 30?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1404841 is divided by 6474.\nAnswer: 6457","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 2\/(-7) + 222\/(-7). Let u = -13 - z. Let b = 291 - 120. What is the highest common divisor of u and b?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 5984947 to the power of 1\/6, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {m: 1, i: 1, p: 4, s: 3, h: 3, l: 5}. What is prob of sequence pp?\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let u(j) = 9292*j + 9352. Calculate u(-1).\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1 - (20\/24 - 7\/((-84)\/(-217474)))?\nAnswer: 3, 7, 863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 8*d**2 + 6*d**2 - 3*d**2 - 6*d**2 + 7*d**2.\nAnswer: 12*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 87652279673 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose h - 989 = -d, -3*h = -5*d - 6*h + 4935. Let b = -643 + d. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (4*(sqrt(176) + -1)*3*2 - (sqrt(176) - (sqrt(176) + -1 + 5) - 1*(sqrt(176) + -1)))**2.\nAnswer: -4200*sqrt(11) + 110441","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 96 times 12080?\nAnswer: 1159680","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let h(d) = d**2 + d - 15. Let b be h(4). Solve -12*u = -b - 19 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(b) be the first derivative of 0*b + 1\/8*b**2 - 1 + 1\/3*b**3 - 1\/16*b**4 - 1\/5*b**5. Determine u, given that l(u) = 0.\nAnswer: -1, -1\/4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of 49, 94, 129, 148, 145, 114, 49?\n\"Answer: -y**3 + y**2 + 49*y","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -5*g**2 - 2750*g**3 + 0*g**2 - 828*g**3 + 0*g**2.\nAnswer: -3578*g**3 - 5*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 2853401475 a multiple of 285?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-12)\/42 - 90\/(-21). Let l = -1.3 + 1. Which is the closest to 0.2?  (a) l  (b) t  (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 95 = -2*m + 3*m. Suppose -m = -2*o + o - 3*t, t - 215 = -2*o. Let j = 33 + -22. Calculate the greatest common factor of o and j.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 18*o - 21*o + 45 = 0. What is the highest common divisor of 45 and o?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(o) = o**3 + 357*o**2 + 11*o + 3941. What is m(-357)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-57)\/(21432\/517))\/(187\/34)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let v(o) = 4*o**2 + 335*o + 6613. What is v(-52)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Round 528553561 to the nearest one million.\nAnswer: 529000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let i be -4 + 1 + 2 - -7. Let m(o) = -2*o**2 - i*o**2 + 10*o**2. Let r(c) be the second derivative of c**4\/3 + 2*c. Give m(r(p)).\nAnswer: 32*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 z, 1 e, and 1 n when three letters picked without replacement from nnnznnzzpnappze.\nAnswer: 24\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Round -3419900 to the nearest 100000.\nAnswer: -3400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Does 8 divide 4 + 200\/4 + 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 12 = -0*s + 3*s. Suppose -5*t - s*d + 20 = -25, 0 = -2*t + 5*d - 15. Let n = t - -21. What is the highest common factor of 39 and n?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 1629?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 53 minutes before 5:37 PM?\nAnswer: 4:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth smallest value?  (a) -4\/7  (b) 14\/15  (c) -2\/23  (d) -2  (e) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: (-93)\/(-62)*4\/(-27)\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*w - 3*m = -15, -2*w + 3*m = 3*w - 12. Let b(r) = r**3 - 3*r**2 - 3*r + 3. Let h(p) = 2*p**3 - 7*p**2 - 7*p + 7. What is w*h(g) - 7*b(g)?\nAnswer: -g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*t - 15 = 0, 13*g - 12*g + 2*t = -1. Suppose -g*o - 8 + 8 = 0. Solve 4*f = -o - 4 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -2*i**3 - 54*i**4 + 57*i**4 - 42 + 48 as l + c*i**2 + p*i**4 + y*i**3 + f*i and give l.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 6062\/4*(-120)\/(-35). List the prime factors of z\/(-8)*(-4)\/6.\nAnswer: 433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1, 3, -2, 63 in decreasing order.\nAnswer: 63, 3, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -146 - -155. Let r(m) = m + 27. Let f be r(0). Calculate the greatest common factor of f and o.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*l**5 + 10244*l**4 + 20580*l**3 - 194660*l**2 - 328256*l + 492096 = 0.\nAnswer: -4, -3, 1, 4, 2563","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (4 - 9) + 3\/1. Let t be (-2 - 1)*1 + 3. Let v = t - -1. Put v, x, -4 in descending order.\nAnswer: v, x, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve y**4\/2 + 255*y**3\/2 + 3230*y**2 - 53520*y + 154112 = 0.\nAnswer: -224, -43, 4, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify u**24*u**(16\/5) assuming u is positive.\nAnswer: u**(136\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Factor -l**4\/5 + 31*l**3\/5 + 4*l**2\/5 - 124*l\/5.\nAnswer: -l*(l - 31)*(l - 2)*(l + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {u: 4, h: 2}. What is prob of sequence uhu?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (4\/(-6))\/(2\/3). Let n(p) = 14*p**2 - p - 1. What is the remainder when 12\/(14\/(-20) - u) is divided by n(-1)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -1\/4, -1, 113?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 54 and 324?\nAnswer: 324","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 112 and 32242.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 0 at least 40\/912181?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -157*g**3 + 94*g**3 - 604 + 604.\nAnswer: -63*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -219*j**3 - 217*j**3 - 213*j**3 + 1335*j**3 - 225*j**3 - 232*j**3 - 227*j**3.\nAnswer: 2*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from srasrsrsxrrxx. What is prob of sequence xa?\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 13.2498 rounded to zero dps?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 152 and 63688?\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 6734 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*a - 3*t - 72 = 0, -a - 4*t + 29 = -2*t. Let y = 77 - a. Is y a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 108591 and 59724.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 8?  (a) 0  (b) -4  (c) -2  (d) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Convert -2432 (base 16) to base 15.\nAnswer: -2b2b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of 1127, 4853, 11057, 19733, 30875, 44477?\n\"Answer: -o**3 + 1245*o**2 - 2*o - 115","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 553459343 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Sort 21, -6, 2\/11, 55\/23.\nAnswer: -6, 2\/11, 55\/23, 21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -2\/59 + -96\/649. Which is bigger: s or 0.12?\nAnswer: 0.12","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 31 - (24 - (-85 + 53)).\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0015306 to five dps.\nAnswer: -0.00153","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*g + g = 32. Let f(d) = -d + 17. Suppose -5*n = -38 - 2. Let r be f(n). Which is greater: g or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -3 + 3 - 2*t + 5*t**2 + (-t + t + 2*t**2)*(1 + 1 - 4) + 1 - 2*t**2 - 1 in the form f*t**2 + q*t + r and give f.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*g = -2*a + 9, 0*g + 862*a + 1062 = g + 507*a for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let t(g) = -246*g - 245*g + 494*g + 0 + 0. Let d(j) = 780*j. Give t(d(f)).\nAnswer: 2340*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Divide -640654 by 4781.\nAnswer: -134","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*u + 5*m - 2 = 6, -5*m + 12 = 2*u for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is -4 divided by -1421?\nAnswer: 4\/1421","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let m(u) = -2*u - 6. Suppose 6*a - 4*a - 14 = 3*o, 5*o + 19 = -a. Let f be m(o). What is the common denominator of (f\/240)\/(34\/(-10285)) and -73\/20?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: 44350738 divided by -15\nAnswer: -44350738\/15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0 in 0.03, -1, -52, 8, 0.5?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: -5073408 divided by -6\nAnswer: 845568","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -9309 + 6033. Which is bigger: 2\/9 or g?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 6704.0841 days in weeks?\nAnswer: 957.7263","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 2091?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -412*h - 200*h = 1337526000. Round h to the nearest one hundred thousand.\nAnswer: -2200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 45507 is divided by 45337?\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-17*h - 55*h - 63*h - 27*h)*(11*h - 5*h - 4 - 3) to the form p + c*h + g*h**2 and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 5370.263 centuries in years?\nAnswer: 537026.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*f = n + f + 11, -4*n - 44 = 4*f. Let t = 62 + n. Calculate the greatest common factor of 34 and t.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: -6611 * -0.4\nAnswer: 2644.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let f(j) = j**3 + 10*j**2 - 3*j + 12. Let i(d) = 2*d + 24. Let v be i(-17). Let q be f(v). What are the prime factors of 1\/((-82)\/q + 2*1)?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0 - (0 + 0) - (3 + -1)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.24?  (a) -0.2  (b) -0.5  (c) 6  (d) 13  (e) -38.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is -131 (base 4) in base 13?\nAnswer: -23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let q(p) = -p**3 + 4*p**2 - 273*p + 1075. What is q(4)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-2)\/(-13) + 5358\/494. Suppose 0 = 5*z + n - 34, 5*z + 3*n - p - 21 = 0. What is the remainder when 23 is divided by z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -5e7 + -17?\nAnswer: -60e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Divide -456822 by -3.\nAnswer: 152274","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Put -0.5, -5, 4, 21153, -15\/16 in descending order.\nAnswer: 21153, 4, -0.5, -15\/16, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Round 20.1795505 to 1 dp.\nAnswer: 20.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*q = -3*r - 1, r = 4*q - 2*r + 11. Let t be 30\/(-50) + q\/5. Let b = 21853\/31 + -705. Which is smaller: b or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:46 AM and 2:13 PM?\nAnswer: 327","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let m(z) = z**2. Let j(x) = -117*x. Give m(j(y)).\nAnswer: 13689*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.02731002498 to six decimal places.\nAnswer: -0.02731","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: How many years are there in 18\/5 of a millennium?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sort -787, 1, -2, 52, 1\/7 in descending order.\nAnswer: 52, 1, 1\/7, -2, -787","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3 + 12 = -3*u. Calculate the lowest common multiple of 12 and 40*u\/50*-5.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 119\/48 and 11\/3384.\nAnswer: 6768","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -0.16 and -12.\nAnswer: 1.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 71*b*t**3 - 3*b*t**2 - b + 139 with respect to t.\nAnswer: 213*b*t**2 - 6*b*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1 + (2 + sqrt(468))**2 + 0 + sqrt(78)\/sqrt(6) + -3 + -5 + 4.\nAnswer: 25*sqrt(13) + 467","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"}
{"text":"Question: Let g = 9045 + -9155.59. Which is smaller: g or -1?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(o) = -o**3 + 15*o**2 - 8*o + 7. List the prime factors of j(8).\nAnswer: 17, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*h - 509 = 5*x, 3*h + 115 = x + 872. Find the common denominator of 85\/106 and (2\/5)\/(h\/(-90)).\nAnswer: 742","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/25 of a kilometer in meters?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sort -31715, -5, 1, -1.\nAnswer: -31715, -5, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve 33 - 54 = 2*x - 27 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let z(h) = -2*h**3 - h**2 + 65*h + 65. Calculate z(-1).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 5*o**3 - 2 - 3*o**2 + 1 + 3*o**2 to r + m*o**2 + j*o**3 + u*o and give r.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 w and 2 g when three letters picked without replacement from {w: 2, t: 1, g: 4, y: 2}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*m + 4 = 0, -24 = -4*x + 3*m - 5. Suppose 3*z - x*o - 2017 = 0, -5*z + 5*o + 2736 = -624. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 6\/1*(-5)\/(90\/4).\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -453*q + 7045 = 26071 for q.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-1 - (-9 - -6)) + -18.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -8.2 - 1.8. Let x = v - -9.9995. Round x to 4 decimal places.\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (2\/(-6))\/(4\/(-12)). Calculate the remainder when 32 is divided by 8\/n + -2 + 6.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -383 + 380. Which is the closest to 0.1?  (a) -5  (b) -2  (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(y) = -7*y + 5. Let s(p) = p - 1. Let t(v) = c(v) + 6*s(v). Let h(g) = g + 1. Calculate -h(i) - 3*t(i).\nAnswer: 2*i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 52611, 104331, 156051, 207771, 259491?\nAnswer: 311211","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*b - 80 = -384. What is the tens digit of b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 62341\/5 + -187003\/15. Find p such that g + 16*p**2 - 32\/3*p**3 + 10*p = 0.\nAnswer: -1\/4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 7054339 is divided by 1763572?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1270, -58, -1660 in descending order.\nAnswer: -58, -1270, -1660","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 51\/5 of a litre in millilitres?\nAnswer: 10200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 5164626889 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Product of -7 and 37.\nAnswer: -259","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 9931292 is divided by 1135.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let z(w) be the first derivative of 3*w**5\/25 - 3*w**4\/4 + 7*w**3\/5 - 9*w**2\/10 + 14. Let z(v) = 0. What is v?\nAnswer: 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((u*u**(-1\/10))\/(u*u**(-2\/21))*u**(-5)*u*u\/u**6*u)\/((u*u**1)**5\/((u\/(u**1*u))\/u)**29) assuming u is positive.\nAnswer: u**(-15961\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve -15 - 22 = 4*t - 3*g, 5*t = -3*g - 6760 + 6734 for t.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 15411 + 5117 = 2566*u for u.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let u be ((-108)\/(-8) + -1)*2. Suppose -5*c + u = 2*t, 0 = 5*t - 10*t - 25. Solve -5*z + c*j - 4*j = 5, -4*z + 3 = -j for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: -757+-15681.6500861\nAnswer: -16438.6500861","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 433560040?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -15 - 40 + 55 - q.\nAnswer: -q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let y be ((-10)\/(-4))\/(1\/2). Let b(w) = -3*w**3 + 29*w**2 - 26*w + 11. Let k(h) = -h**3 + 10*h**2 - 9*h + 4. Let j(i) = -4*b(i) + 11*k(i). What is j(y)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 6538 and 316626.\nAnswer: 934","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 1839 - 1153. List the prime factors of i.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(g) = -2*g**2 + 6*g + 2*g + g**2 + 5. Suppose 5*w - 12 = 28. Is v(w) a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 1  (b) 0.2  (c) -429\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1331 + 35 = -4*o. Suppose -f - 5*d + o = -1848, 3*d + 4305 = 2*f. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(k) = -1597*k**3 - 14*k**2 - 15*k - 3247. Let s(u) = -2*u**2 - 2*u. Let c(r) = -i(r) + 7*s(r). Differentiate c(v) with respect to v.\nAnswer: 4791*v**2 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -17956, -17958, -17962, -17968, -17976, -17986?\nAnswer: -17998","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 1 bigger than -1\/912?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let b(p) = 32*p + 30. Give b(-2).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let z(l) be the second derivative of l**6\/10 - 39*l**5\/10 + 155*l**4\/4 + 91*l**3 + 11*l - 16. Factor z(x).\nAnswer: 3*x*(x - 14)*(x - 13)*(x + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -5 - ((60 - 99) + -62 + (19 - -1)).\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 6\/(-1) - (-8 - -9). Let m = -7 - n. Factor 0*b + m - 1\/7*b**2 - 1\/7*b**3.\nAnswer: -b**2*(b + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9*x - 94214 = 3*s + 4*x, 2*s + 62818 = -x. Let z = 13592 - s. What is z rounded to the nearest ten thousand?\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(w) = -5*w - 5. Is p(-6) a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(h) = 7*h**2 - 406*h - 4652. What is s(-12)?\nAnswer: 1228","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -89*k - 312*k - 214*k - 100*k - 94*k.\nAnswer: -809*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let d(j) = -j**2 + 9*j + 5. Let q be d(9). Suppose -50 = -q*i + 35. Suppose -i = -5*m + 38. List the prime factors of m.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence zz when two letters picked without replacement from mmzmmmzmmmzmmmmzmm.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 19*k - 10 - 47 = 0. Let z(x) be the third derivative of -1\/24*x**4 + 0 + x**2 + 3\/2*x**k + 0*x. Determine z(6).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -63, 2\/7, -2, -0.1, -1 in decreasing order.\nAnswer: 2\/7, -0.1, -1, -2, -63","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in -0.5, 0.4, -2, 1\/4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Does 561 divide 254423037?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -11, 6\/5, 5?\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.8?  (a) -0.2  (b) 37.52  (c) -21\/8  (d) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (3*1)\/((135\/10)\/9). Let j be -1*p\/(-4)*4182. What is the first derivative of -12 + 3*w**3 + j*w**4 - 2132*w**4 - 3*w**3 wrt w?\nAnswer: -164*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(n) = -102*n - 26. Let c(f) = -26*f - 6. What is 9*c(x) - 2*z(x)?\nAnswer: -30*x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve 260*c + 439 = -2*c - 1133 for c.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 441491232 and 336.\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let u(w) = -12*w + 16. Let g(r) be the third derivative of -5\/2*r**3 + 0*r + 1\/60*r**5 - r**2 + 0 + 1\/2*r**4. Let o(b) = 2*g(b) + 3*u(b). Factor o(s).\nAnswer: 2*(s - 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of -3497, -33790, -116019, -276152, -540157?\n\"Answer: -4328*o**3 + 3*o + 828","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Round -1248972090 to the nearest 1000000.\nAnswer: -1249000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in 0.087, 0.4, 3, 159, 0, -0.1?\nAnswer: 0.087","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let w(o) = -2*o. Suppose -2*l - 5 = 5*q + 3*l, 10 = 2*l. Let c(b) = 8*b - 5. Let k(m) = 9*m - 6. Let f(i) = q*c(i) + 5*k(i). Determine f(w(y)).\nAnswer: 6*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 21 and 1169.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 3730694.\nAnswer: 2, 11, 67, 2531","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let p(a) = 4*a**2 - 15*a + 1. Let g be p(6). What is the tens digit of (-10)\/4*(-1782)\/g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from tgjpgppjgpgggjggpj. What is prob of picking 3 j?\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*t - 7*t + 224. What is the third derivative of -t*b**2 + 13*b**6 + 11*b**6 + 130*b**2 - 2*b**6 wrt b?\nAnswer: 2640*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -115.01 - -117. What is o rounded to 1 dp?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*v - 3*v - 90 = 4*b, -4*b = -4*v + 84. Let l be 76\/b + 10\/15. Let f = -30 + 29.98. What is the smallest value in f, l, -1?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 54672 and 11658?\nAnswer: 1585488","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is -428461 times -0.5?\nAnswer: 214230.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let c(a) = 12*a - 94. Let z be c(8). Suppose z*i = -13 + 31. Solve i = -3*v - 3 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-2 - (-4 - 1)) + (-1 - -3)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Express -36 + 16 + 65*q + 17 as l + d*q and give l.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is -17 at most -68317?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is -5 - (-18)\/(2 - -1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Do 720279 and 720294 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let f be -4 - ((-84)\/140 - (-4686)\/10). Let g = -1415\/3 - f. Put 0, g, 1\/5, -2 in descending order.\nAnswer: g, 1\/5, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(z) = 2*z**3 - 4*z**2 + 14*z - 24. Let m be j(3). Sort -2\/3, 3, 0, m in decreasing order.\nAnswer: m, 3, 0, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 j and 1 g when three letters picked without replacement from {g: 2, d: 2, j: 2, a: 9, x: 2}?\nAnswer: 1\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve -259*w + 5010022 - 4989820 = 0 for w.\nAnswer: 78","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let k(m) = -16*m**2 - 13*m. Let t(x) = x**3 + 15*x**2 - 5*x - 81. Let c be t(-15). Let z(r) = r**2 + r. Give c*k(n) - 78*z(n).\nAnswer: 18*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3 + sqrt(153) + 3 + sqrt(153) + 0 + 5*((sqrt(153) - (sqrt(153) + -2))*1)**2.\nAnswer: 20 + 6*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4 + (sqrt(68)*2 + sqrt(68))\/sqrt(4).\nAnswer: -4 + 3*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 118 = 2*i - 2*p, 5*i + 4*p = 4*i + 49. Calculate the remainder when 471 is divided by i.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 208 and 184?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let c be ((-28)\/(-10))\/(6*(-12)\/(-15480)). Calculate the highest common divisor of c and 28.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1247 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*s + 2*l + 22, -4*l = -4*s - 0*s + 20. Let d be 1*2 + (-5 - -7). Solve -3*k - g + s = -d*g, 4*k - 5*g = 7 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be -68 + (2 - (-10)\/(-2)). Let t = 163 + -99. Let d = t + i. Is d equal to -7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 28800 is divided by 14400?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 20 - 17. Suppose 25 = 5*i, -s*y - 4*i - 13 = -153. What is the tens digit of y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 4*w**2 + 2*w - 2*w + (-2715 - 38 - 1021 + 608)*(w**2 + 0*w**2 + w**2).\nAnswer: -6328*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Does 5 divide (-1 - 1)*((-70)\/4 - 1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*t = -3*t + 12. Suppose -2*j - j = t*s - 77, 4*s = 3*j + 59. Solve 0 = -5*v + 4*b - 8, 0 = 2*v + 2*b + b + s for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify u**(7\/3)*u*u**(-6)*u**(1\/3)\/(u**(2\/13)*u) assuming u is positive.\nAnswer: u**(-136\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is g in -3*g**2 - 78*g + 168 = 0?\nAnswer: -28, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve 28*i + 109 = 137*i for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: ((-50)\/40)\/(315\/(-8064))\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Express -6*z**3 + 2*z + 7*z**2 - 6*z**3 + 8*z**2 - 14*z**2 as y*z + k + r*z**3 + v*z**2 and give v.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let l(k) = -3*k**2 + 6*k - 1. Let q be l(4). Let y be (-18)\/(-10) + (-5)\/q. Which is the second smallest value?  (a) -3\/2  (b) y  (c) 5\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 22036222 to the power of 1\/7, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -8 + 38\/5. Let j = 1 - -3. What is the closest to 0.1 in j, z, -5?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 p and 1 y when two letters picked without replacement from {p: 5, y: 5}?\nAnswer: 5\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (a**4*(a**8*a)\/a*(a**2)**4)\/((a*a*a**(-2\/3))**(-42\/5)*a**(-7)*a**7) assuming a is positive.\nAnswer: a**(156\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let r(a) = -3*a**2 - 12*a. Let h(k) = 4*k**2 + 13*k. Let q = -9 - -12. Suppose 4*n = -q*f - 2 - 8, 5*n = 3*f + 28. Let x(s) = f*h(s) - 7*r(s). Solve x(p) = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-40)\/972*(-1266)\/(-2110)\nAnswer: -2\/81","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 2694 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -19*x + 18*x + 2 = 0. Suppose -3*i - x = -65. Let f be ((-9)\/3)\/(5\/(-10)). Solve -3*z = 3*c, -2*z + f*c = c + i for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(f) = -21*f + 38. Let s be k(-10). Calculate the highest common divisor of 24 and s.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 34216 is divided by 181.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Put -114, 0.07, 0 in descending order.\nAnswer: 0.07, 0, -114","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 5, 36, 87, 158, 249, 360?\nAnswer: 491","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let x(i) be the third derivative of 389*i**5\/60 + i**4\/12 - i**3\/2 - 372*i**2. What is the second derivative of x(p) wrt p?\nAnswer: 778","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 38374.3403 to the nearest 10.\nAnswer: 38370","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -953.37 and 6.96?\nAnswer: -6635.4552","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: How many tonnes are there in 4696.78kg?\nAnswer: 4.69678","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let v(g) = 48*g**2 + 27. Let y(h) = -7*h**2 - 4. Let a(b) = 4*v(b) + 27*y(b). Let t(f) = f**2. Calculate 3*a(p) - 8*t(p).\nAnswer: p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 1643242 to the nearest integer?\nAnswer: 118","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 9*4\/18*1\/(-2).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 37074 and 148.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*l**3 + 2 - 2)*(-20*l - 39*l - 14*l).\nAnswer: -146*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve -j + 2*j + 10 = 6*s, -3*j + 3*s = 0 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Determine k, given that 242*k**5\/7 - 902*k**4\/7 - 408*k**3\/7 + 608*k**2\/7 - 128*k\/7 = 0.\nAnswer: -1, 0, 4\/11, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -75227 - 190563 = 173*k + 42496. Is k less than or equal to -1788?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 154383596.\nAnswer: 2, 17, 31, 73237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of -136273757, -272547513, -408821269, -545095025?\n\"Answer: -136273756*y - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {z: 5}. What is prob of picking 4 z?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 1004 or -6\/407?\nAnswer: 1004","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let p(q) = 3*q**3 + 20*q**2 - 17*q - 64. Give p(-7).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 16564 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let h be ((-2)\/(-4))\/(18\/(-48)). Let r = h + 2\/3. Let w = -2.4503 - -0.4503. What is the fourth smallest value in r, -4\/3, -6\/7, w?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 9121232*a - 4560616*a - 4560614*a.\nAnswer: 2*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 554912?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -43 + 46. Find the third derivative of f**y + 13*f**3 + 0*f**3 + 5*f**2 wrt f.\nAnswer: 84","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of 60363, 60442, 60575, 60762, 61003, 61298, 61647?\n\"Answer: 27*o**2 - 2*o + 60338","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (9\/(-12))\/(-1 + (-7)\/(-8)). Suppose -o + q = 2. Suppose 1041 = o*d + 337. What is the units digit of d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -6 + 4 + 51*d + 5 - 9*d to n + z*d and give n.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((-2 - 13 + 4)*(0*o + 11*o - 6*o) - 6*o + 0*o - o)*(-2*o**2 - 2*o**2 + 6*o**2).\nAnswer: -124*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 859 to the power of 1\/2, to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 22\/(-20) + (-1)\/(-2).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -25 + -1746?\nAnswer: -1772","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1*(sqrt(35)\/(sqrt(7) + sqrt(7)*2))**2.\nAnswer: -5\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let i(o) = 19*o**3 + 2*o - 1. Let y be i(1). Suppose 2*s = -0*s. Solve -2*x - v - 19 = -4*v, 4*v - y = s for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 35573?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 1 + (2 + -3)*-37. Suppose 2*b = 50*v - 48*v - 142, -b + 5 = 0. What is the greatest common divisor of q and v?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(q) = -5*q + q + 9*q - 2 - q**2. Suppose 0 = -o - 5*w - 6, -2 = 3*w + 4. Suppose 2*f = y - 2*f + o, 2*y = -f + 10. Calculate u(y).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 40022 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -7382 - -7658. Calculate the remainder when w is divided by 112.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of 776, 1574, 2382, 3200?\n\"Answer: 5*n**2 + 783*n - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {i: 6, n: 2}. What is prob of sequence iini?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -14 - -14. Solve c = g + g + 10 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-12500)\/(-5000))\/((165\/12)\/(-1)).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(z) = -z**2 - 56*z - 1779. Give m(-45).\nAnswer: -1284","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 2360 and 9140?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-1 - 1 - -2) + (149 - 121)?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (8\/42)\/(1003\/(-12390)*-102 - (-3)\/5).\nAnswer: 2\/93","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let -a**3\/5 - 760007*a**2\/5 + 456006*a = 0. Calculate a.\nAnswer: -760010, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let i(j) be the second derivative of 773*j**4\/6 + 276*j**2 + 1331*j. What is the first derivative of i(l) wrt l?\nAnswer: 3092*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2961747*i + 5905942*i - 2944192*i.\nAnswer: 3*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let j(d) = d**3 - 6*d**2 - 5*d - 4. Suppose -42 = n - 5*n - 2*t, -5*n - 2*t = -53. Calculate the least common multiple of j(7) and n.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -10 - -13. Suppose f*a + 2*a - 10 = 0. Let l = -3 - -7. What is the remainder when l is divided by a?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many years are there in 1661.83 millennia?\nAnswer: 1661830","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let r(v) = -5*v + 89. Let t be r(10). Find the first derivative of -72 + 32*o + t*o + 0*o**3 - o**3 - 63*o wrt o.\nAnswer: -3*o**2 + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -101, -199, -295, -389, -481, -571, -659?\nAnswer: -745","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -21366150 + 65?\nAnswer: -21366052","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {r: 6, i: 1, b: 1, u: 3, v: 1}. What is prob of picking 1 b, 1 u, and 1 i?\nAnswer: 3\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Convert 39364.28 tonnes to milligrams.\nAnswer: 39364280000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is six fifths of a millennium in centuries?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 0.3, 0.5, -64, -0.036, -1, 4?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*i - 5*j - 17, i + 2*j + 0 = -5. Let w = 6 + -3. Let g = w - 2. What is the closest to i in -3\/8, -4, g?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.05734 rounded to 3 decimal places?\nAnswer: -0.057","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let c(n) = n**3 - 8*n**2 - 6*n - 9. Let x be c(9). Let b = -46 - -49. Factor 4 + 3*p**3 + 2*p**4 + 13*p**2 - x*p**2 - p**4 - b*p.\nAnswer: (p - 1)**2*(p + 1)*(p + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.10058276 rounded to five dps?\nAnswer: -0.10058","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Sort 311, 0, -2, 5, -1, -24 in descending order.\nAnswer: 311, 5, 0, -1, -2, -24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (36\/21)\/(33\/(-154))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-4*(-27)\/(-144))\/(6\/(-4)).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1 + -3*(-6*(-2 + 5 + sqrt(288)))**2.\nAnswer: -32077 - 7776*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let v(w) = 0*w - 20 + 39 - 5*w - 22. What is the units digit of v(-3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(b) = 5*b - 26. Determine n(11).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 2841?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 132 minutes after 1:22 PM?\nAnswer: 3:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: -4067 - -6662920\nAnswer: 6658853","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 498 a factor of 176291004?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 197108406 and 53756838.\nAnswer: 591325218","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Divide -235296930 by -5.\nAnswer: 47059386","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 6 - 1. Suppose -3*m - 7 = -c, -c + 3*c + 3*m - u = 0. List the prime factors of (4 - 1)\/(3\/c).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 0.02 + -0.02. Which is the smallest value?  (a) 4  (b) h  (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 224 (base 9) to base 8.\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 n and 2 k when three letters picked without replacement from {r: 4, k: 2, n: 2}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-3 + sqrt(275) + 1 - (-3 + sqrt(275)*-1 + sqrt(275)) - (4 + -1 + sqrt(275) + 3)) + 1)**2.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let t(c) = -c**3 - c**2 - 1. Let n be t(0). Let d(v) = 3*v**2 - 2*v + 1. Let q(r) = -r**2. Give n*d(w) - q(w).\nAnswer: -2*w**2 + 2*w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 121 - 9. What is the greatest common divisor of 32 and d?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 5*-0.56.\nAnswer: -2.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 a and 1 f when three letters picked without replacement from {c: 1, a: 2, f: 1, s: 2}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (f**(2\/15)\/f**(-1\/4))\/(f**(-9)\/((f\/((f*(f*(((f\/((f*f\/(f*f**(1\/2)))\/f)*f)\/f)\/f*f)\/f)\/f)\/f))\/f))*(f**9\/f**1)\/(f**(-1\/9)*f**5) assuming f is positive.\nAnswer: f**(2159\/180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 65069453 divided by -62627.\nAnswer: -1039","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.5565078 seconds to milliseconds.\nAnswer: 556.5078","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Convert -171641 (base 16) to base 3.\nAnswer: -2211212110222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -269 + 272. Suppose 2*v - 5*r = 12607, 0*v = z*v + 2*r - 18939. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -2*x + 114538*x**2 + 51*x**3 - 114536*x**2 + 2*x + x to u*x + z*x**3 + g + b*x**2 and give z.\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Determine x, given that 2*x**5 - 52*x**4 + 40*x**3 + 1252*x**2 + 2166*x + 1008 = 0.\nAnswer: -3, -1, 7, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Express 4117 - 6970 - 2*p - 2*p**3 + p**2 + 3886 - p**4 in the form m*p**3 + z*p + b*p**4 + j*p**2 + t and give t.\nAnswer: 1033","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose q + 4*o = 2*q - 21, 3*o = q - 17. Let z(p) = 2*p**3 - 6*p**2 + 7*p - 5. Let c(s) = s**2 - s + 1. What is q*c(x) + z(x)?\nAnswer: 2*x**3 - x**2 + 2*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-14 - -12)\/((-40)\/1940). What is the greatest common divisor of 34241 and i?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(z) be the third derivative of -z**3 - 3*z**2 + 0*z + 0 - 1\/30*z**5 + 1\/3*z**4. Factor r(q).\nAnswer: -2*(q - 3)*(q - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 5\/(-10)*-2*41\/164. What is the nearest to z in -12, -0.026, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -510005 = -11*n - 509972 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let p(b) = -b + 1. Let x = 8 + -7. Let w be p(x). Let f = -395\/294 - -1\/98. Are f and w unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (i + 4 - 4)*(1 - 1 - 1)*(0*i**2 + 2*i**2 - 3*i**2) + (-4*i - 30 + 30)*(-3*i**2 + 0*i**2 + 4*i**2) - 12*i**3 - 4*i**3 + 22*i**3.\nAnswer: 3*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 1819085078 to the power of 1\/6, to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 0.65 and 44551?\nAnswer: 28958.15","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 15 and 10050936.\nAnswer: 50254680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 340474.\nAnswer: 2, 37, 43, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Total of -0.5 and -1.159.\nAnswer: -1.659","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let p(z) = -9*z - 383. Let g be p(-47). What is the highest common factor of 5980 and g?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 76 is divided by 51.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 43831000 at least 43831000?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 24064035 and 4425?\nAnswer: 885","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -663.0887 + 0.0887. Let v = -664.684 - m. Let r = v - -1.7. Round r to two decimal places.\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -10877852*r - 41914 + 41914 + 10877857*r.\nAnswer: 5*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let w be -4 - (5\/(-1) + 37). Let r = w - -38. Let u(x) = 4*x**3 + 2*x**2 + 2*x - 6. Is 2 a factor of u(r)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*t - 18 = -3*q - 0*q, 2 = 2*t + 5*q. What is the remainder when 25 is divided by (-53)\/t + 4\/(-16)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 40 + -40. Suppose 4*q = 2*q + 112. Suppose -6*p + 2*p + q = t. What is the units digit of p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1 = q + 7. Let h(n) = 11*n**3 + 19*n**2 + 18*n - 10. Let u(z) = 13*z**3 + 21*z**2 + 20*z - 10. Let t(f) = -6*h(f) + 5*u(f). What is t(q)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 20\/5 + (-2)\/2. Solve q + 0 = -s for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -2494 + 2497. Solve o + 2*s + 8 = 0, 2*o - s - j*s = 16 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -93\/8763962 and 33\/5?\nAnswer: 43819810","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 628 + -639. Let c be (-5 - (q + 7))\/(-1). Let z be (-5)\/(-1) + (-1 - 1). Solve 0 = -4*r - j + c, 2*r = -0*r + 3*j - z for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(133)\/(-4*(sqrt(7) + sqrt(7)*-1) + sqrt(7)).\nAnswer: sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Express (-920*x + 2121*x - 1034*x)*(-3*x**3 + x**3 + 5*x**3) in the form s*x**4 + i*x + z*x**2 + q + j*x**3 and give s.\nAnswer: 501","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let l(k) = -15*k**3 + 4*k**2 + 8*k + 4. Let b(d) = -7*d**3 + 2*d**2 + 4*d + 2. Calculate 9*b(r) - 4*l(r).\nAnswer: -3*r**3 + 2*r**2 + 4*r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1189 is divided by 120?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -0.0308 + 1.9608. Let i = k + 18.37. What is i rounded to the nearest 10?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -35 - -36. Let q(h) = 7*h**3 + 6*h**2 - 6*h - 6. Let z(k) = k**3 + k**2 - k - 1. Calculate m*q(w) - 6*z(w).\nAnswer: w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -28 and -6995.1?\nAnswer: 195862.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 131752602?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*r**4 + 2874*r**3 - 210332*r**2 + 1206960*r + 8377600 = 0.\nAnswer: -4, 11, 70, 1360","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-2)\/9 + 76\/18. Suppose -3*n = 5*l - 2 - 1, -o*n + 4*l = -36. Is 3 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(f) = 504*f + 59469. Give g(-118).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -78 + 43 = -7*k. Suppose 10*n - k*n = 225. Calculate the remainder when 130 is divided by n.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Are -16\/49 and 0 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(171)\/(-4*sqrt(3)))\/(sqrt(6)\/(-2*sqrt(2))))**2.\nAnswer: 19\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Put 5, 57, 15 in decreasing order.\nAnswer: 57, 15, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3155*q - 3155*q - q**2.\nAnswer: -q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -14*o + 27 + 34 - 19 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2\/(215\/(-33) + (-343)\/(-1029) - (-4)\/22).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"}
{"text":"Question: Let m = -36 + 52. Let y = 36349.07 + -36333.06923. Let v = m - y. Round v to four dps.\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of -701694, -1403357, -2105020, -2806683, -3508346, -4210009?\n\"Answer: -701663*y - 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4 - 1 + 4)*(4 - 4 - 2*n - n - 3*n + 2*n + 0 + 0 - 2*n - 4*n + n + 2*n + (n - 3 + 3)*(1 - 2 - 1) - 1 + n + 1 - n - 3*n + 5*n).\nAnswer: 7*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let u(q) = q**3 - 5*q**2 - 19*q + 10. Is u(9) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*s + 7 = -1. Solve -3*w = -s*w + 1 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 2*d - 8, -3*d - 2*d + 24 = -4*l for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let m(y) = -y + 1. Let h(a) = 16 + 18 - 55 + 19. What is h(q) + 3*m(q)?\nAnswer: -3*q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is -3014853 times -5?\nAnswer: 15074265","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*p - 5*o = -2825, 0 = 3*p - 6*p + 5*o + 1711. List the prime factors of p.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 6\/4*(-16)\/(-12). Suppose -3*m - p*m = 0. Is m greater than or equal to 3\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (5 + 0 + 1)*(-460*x**4 + 63*x**4 - 559*x**4).\nAnswer: -5736*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 1.17 + 0.03. Let d = j + -1.1. Which is the closest to -0.2?  (a) -2  (b) d  (c) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -1\/6, -3.6, 4, 97, 0 in increasing order.\nAnswer: -3.6, -1\/6, 0, 4, 97","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 100658229.\nAnswer: 3, 7, 241, 19889","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (5\/60*-4)\/(2\/(-30)). Let z be 82\/36*(i - (-32)\/(-4)). Is -6 smaller than z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose z - 3 - 30 = 0. Let v = 36 - z. Is (-3)\/5*(-4)\/v*125 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of 18940609, 18940618, 18940649, 18940714, 18940825?\n\"Answer: 2*y**3 - y**2 - 2*y + 18940610","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -r - 0 - 3. Let s be 1\/r*15\/(-1). Suppose 2*u - s*u - x = -86, -u + x + 30 = 0. Calculate the remainder when u is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 170 is divided by 56?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 52933605 to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 76500 is divided by 38233.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1*(2*(-2 + sqrt(252) + -1) + (-4 + 1 + sqrt(252) - (-2 + 2*sqrt(252)))))**2.\nAnswer: -84*sqrt(7) + 301","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*m**2 + 711*m - 708.\nAnswer: -3*(m - 236)*(m - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let i(c) = c**2 - 3*c + 30. What are the prime factors of i(0)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(h) = 14 - 15*h**2 - h**3 + 0*h + 8 + 14*h. What is the remainder when u(-16) is divided by (-4)\/(-8)*(22 - 0)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) -0.2  (b) -64  (c) -3\/8  (d) -14091\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (6*((sqrt(176) - (-2 + sqrt(176))) + -5 + sqrt(176) + -2 + -4 - (sqrt(176) - (-1 + sqrt(176) + sqrt(176))*5 - 3*1*sqrt(176))))**2.\nAnswer: -52416*sqrt(11) + 1077840","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {z: 7, i: 2}. What is prob of sequence iziz?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Expand m - 3*m + 4*m + (-4*m + 2 + 3*m + 3*m + m + 4*m - 2*m + (1 + 0 - 3)*(6*m - 31 + 31))*(-5 + 0 + 2).\nAnswer: 23*m - 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 3 minus 2.71969006?\nAnswer: 0.28030994","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of -4438, -17770, -39988, -71086, -111058?\n\"Answer: f**3 - 4449*f**2 + 8*f + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 705444*m**4 + 5701*m + 24.\nAnswer: 8465328*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 6643*o = 6012*o - 11358 for o.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:48 AM and 2:11 PM?\nAnswer: 443","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is -500041.52 + 1.28999?\nAnswer: -500040.23001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7 = -3*n - 5. Suppose -9 = -2*k + 7. Is 4*2 - k\/n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -785491 + 785494. Factor 3\/5*q**3 + 0 - 42\/5*q + l*q**2.\nAnswer: 3*q*(q - 2)*(q + 7)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -181\/6592068 and 101\/1209012.\nAnswer: 2564314452","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 63 and 362761?\nAnswer: 3264849","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -2\/7  (b) 459  (c) 2.05\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 2\/53?  (a) -2\/9  (b) -0.2  (c) 199\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*h + 5*h - 15 = 0. Let a be 6\/(h - 6)*2. Let s be 3\/(-24)*(12\/210)\/(2\/28). Sort -0.2, a, 0.4, s in decreasing order.\nAnswer: 0.4, s, -0.2, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -6721 - -6718. Put 28, g, -12 in increasing order.\nAnswer: -12, g, 28","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: -73 (base 9) to base 14\nAnswer: -4a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*v = -4*m + 5 - 4, -5*m = -4*v - 8 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.000752 rounded to four dps?\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 h and 1 j when two letters picked without replacement from {h: 3, z: 5, j: 3}.\nAnswer: 9\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 32*y - 134*y + 48552. Solve 59*r = -9*r + y for r.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 501900 and 35.\nAnswer: 501900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of 4780, 4778, 4774, 4768?\n\"Answer: -r**2 + r + 4780","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: 0.343 times 3\nAnswer: 1.029","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -121 - 4?\nAnswer: -130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5782*k = -3*n - 5783*k - 41, -5*k - 241 = 18*n for n.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 3354 and 1071564?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 38922 is divided by 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 918 - 322?\nAnswer: 5b6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Does 37 divide 32190?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let s(v) = -5*v**3 - 2*v**2 - v - 206. Let k be 0\/((-1)\/(8\/(-24))). Let y be s(k). What is y rounded to the nearest 10?\nAnswer: -210","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: 5 + 7 + -3 + -5\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 49010863 - 49010819.999998. Let w = g - 43. What is w rounded to 5 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify l*l**(1\/2)*l**(-2\/51)*l**16\/l**(-21) assuming l is positive.\nAnswer: l**(3923\/102)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 11*((-50160)\/(-968))\/6?\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 24*p - 8*p**4 - 32*p**4 - 9*p**2 - 12 - 6*p**3 + 43*p**4.\nAnswer: 3*(p - 2)*(p - 1)**2*(p + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1232.044 times -0.2?\nAnswer: 246.4088","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*p + 53 + 10 = 0. Does p = -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many meters are there in 9\/10 of a kilometer?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 1284374, 2568754, 3853134, 5137514, 6421894?\nAnswer: 7706274","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Round -9286106 to the nearest 10000.\nAnswer: -9290000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -3321, -3389, -3445, -3483, -3497?\nAnswer: -3481","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let j(s) = -s**3 - 9*s**2 + 21*s - 12. Let z be j(-11). Suppose -2*x = -0 + 2, -2*k + 2*x = -6. What is the second biggest value in -0.1, k, z?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (x + 0*x + 0*x)*(-2 - 2 + 2) + (-2*x + x + 2*x)*(0 + 2 + 0) + 9*x - 6*x + 9*x - 3*x + 4*x + x.\nAnswer: 14*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 2480843 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1?  (a) 5  (b) -2.9  (c) -2\/7  (d) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -46*x + 25 = -43*x - 10*v, -7*v - 12 = -3*x + 1 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Expand -12 + 12 + n + (1 - 3 - 1)*(0*n - 3*n + 4*n) + 8*n - 3*n - n.\nAnswer: 2*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let y(c) = -16*c + 6. Let r(d) = -3*d + 1. Let u(q) = 22*r(q) - 4*y(q). Calculate u(-4).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 8*k + 46 = 1814*v - 1815*v, 2*k = -v - 10 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4 + (-5 + -4*sqrt(153))*-1.\nAnswer: 1 + 12*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -535*a**2 + 66*a + 6 wrt a.\nAnswer: -1070","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*u - 3*k - 803 = 69, k + 624 = 5*u. Does 4 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 4628169.2 to the nearest 1000.\nAnswer: 4628000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is -159.7139 rounded to 1 dp?\nAnswer: -159.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*p = -13*i + 11*i + 45, -5*i - 2*p = -107. Does 6 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(y) be the third derivative of -y**8\/840 + y**7\/175 - y**6\/150 + 2*y**2 + 8*y. Factor w(k).\nAnswer: -2*k**3*(k - 2)*(k - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -190\/3 - -3604\/57. Suppose -1 + 4 = -3*p. Which is the closest to p?  (a) n  (b) -4  (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-w**2 + 4 - 4)*(14 + 6 - 16) - 2*w**2 - 3 + 3.\nAnswer: -6*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 29974688 and 2848.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 3282 - 16413\/5. Which is the closest to h?  (a) 2\/5  (b) -5\/3  (c) 90\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(l) = l**2 - 15*l + 51. Calculate k(7).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is -100 (base 4) in base 11?\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 1177.3 + -1233. Let z = -59.7 - k. Which is the third biggest value?  (a) 5  (b) 0.07  (c) -2  (d) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-8 - 6 + 20)*(-4 - 3 + 4)*(-f**2 + f**3 + f**2) - f**3 - 7*f**3 - 6*f**3.\nAnswer: -32*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 12*v - 83*v + 35*v + 39*v.\nAnswer: 3*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((p*p**(2\/3)*p)\/(p**1\/p*p))\/(p**4*p*p**(2\/5)) assuming p is positive.\nAnswer: p**(-56\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 573 < 573?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 15 and 384?\nAnswer: 1920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from aapppozsoo. Give prob of sequence zsz.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Express (1924*o + 3113*o - 1373*o)*(0*o + 0*o + 2*o**2) in the form t + d*o**3 + v*o**2 + l*o and give d.\nAnswer: 7328","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*k + 38 = 36*k for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 1 + 7. Sort m, -0.5, -5 in ascending order.\nAnswer: -5, -0.5, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3, -7, 2149.4 in decreasing order.\nAnswer: 2149.4, -3, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Does 681 divide 1353694212?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -173\/5148 and -133\/520.\nAnswer: 51480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-4*(-1)\/(-1))\/((-580)\/(480\/(-48)))?\nAnswer: -2\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 6\/(-45) + ((-1)\/(-15))\/((-803)\/(-5986)).\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*v = 3*h + 20, 0 = -3*h - 2*h + 3*v - 15. Suppose 48*j = -3*d + 51*j + 24, 0 = 2*d - 3*j - 21. Solve -d*u - u - 12 = h for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:49 AM and 6:02 PM?\nAnswer: 373","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:29 AM and 11:05 AM?\nAnswer: 96","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose d + 3*z = 260, 8*d = 6*d + 2*z + 520. Is 33 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 300 - -3332101103?\nAnswer: 3332102003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:10 PM and 9:19 AM?\nAnswer: 609","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (3633\/28)\/(5\/20). Let a = l + -517. Solve d + a*d = 5*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -10201 (base 3) to base 6.\nAnswer: -244","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 152 + -150. What is the second derivative of 101*h - 1243*h**n - 133*h**4 + 1243*h**2 wrt h?\nAnswer: -1596*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(w) = -w**2. Let r(q) = -2504*q + 629. Give r(x(d)).\nAnswer: 2504*d**2 + 629","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of 8180, 65866, 222788, 528674, 1033252?\n\"Answer: 8288*o**3 - 110*o**2 + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 24280*k**4 - k**3 + 3606*k**2.\nAnswer: 582720*k - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 4*(0 + (0 - 2)). Let w = 2 + l. Let j(z) = z**2 + 3*z + 3. What are the prime factors of j(w)?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -43.21 + 1.81. Let j = k - -46. What is j rounded to zero decimal places?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*m - 515 = -35. What are the prime factors of ((24\/(-5))\/((-4)\/m))\/1?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5 = o - 1. Suppose 0 - o = -i. Does 3 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2878023?\nAnswer: 3, 461, 2081","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of -357, -836, -1625, -2718, -4109, -5792, -7761, -10010?\n\"Answer: q**3 - 161*q**2 - 3*q - 194","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Find n such that -4*n**2 - 113228*n + 1699320 = 0.\nAnswer: -28322, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let t be ((-1)\/5)\/(9\/10074). Let q = -224 - t. Let l = -43\/65 - -6\/13. Which is the second biggest value?  (a) 0  (b) q  (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(d) = 76*d**2 + 19*d + 18. Let r be p(-1). Suppose r - 642 = -7*t. What is the greatest common factor of 45 and t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:31 AM and 2:40 AM?\nAnswer: 69","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 65\/2372 and 59\/22.\nAnswer: 26092","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (-75)\/(-20)*(-28)\/(-21). Suppose 4*h = -i + 287, 0*h + a*h - 4*i = 385. Does 17 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -4.225 - -0.225. Sort -22, -1, -2\/11, z in descending order.\nAnswer: -2\/11, -1, z, -22","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.2423762 rounded to 2 dps?\nAnswer: -0.24","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 200 a factor of 1426635?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1053760 is divided by 745.\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -57 - -62. Let m = -0.1 - 0. Let k = 1.9 + -3.9. What is the nearest to m in i, k, 3\/7?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 286 - 284. What is the second derivative of 3*w**2 + 50*w**i + 25*w**2 + 36*w wrt w?\nAnswer: 156","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1263 a multiple of 60?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let -576*q**3 + 0 - 15552*q + 5184*q**2 + 80\/3*q**4 - 4\/9*q**5 = 0. Calculate q.\nAnswer: 0, 6, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4 + (1 + sqrt(704) + 2 + (sqrt(704) - -3*(sqrt(704) + 1)))**2.\nAnswer: 480*sqrt(11) + 17640","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1, 2, -36 in decreasing order.\nAnswer: 2, -1, -36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(512) - ((-2*sqrt(512) - sqrt(512)) + sqrt(512)) - sqrt(512))\/sqrt(4).\nAnswer: 16*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 3  (b) -3\/5  (c) 16504  (d) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0000518086 to six decimal places.\nAnswer: -0.000052","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*x**3\/3 + 42*x**2 - 1408*x\/3 - 512.\nAnswer: -2*(x - 48)*(x - 16)*(x + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 10115 is divided by 4570.\nAnswer: 975","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 886337, 1772670, 2658989, 3545288, 4431561, 5317802, 6204005?\nAnswer: 7090164","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 658657921 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*i = -5*s - 27807789 - 24667207, 0 = -4*i - 4. Round s to the nearest 100000.\nAnswer: -10500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be -2 + -1 + (8 - 3). Let n(l) = -2*l**3 + 3*l**2 + l - 2. Give n(q).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -593, 4, -2, 0, 5, 2, -22 in decreasing order.\nAnswer: 5, 4, 2, 0, -2, -22, -593","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -6*(sqrt(343) + 0)**2 + sqrt(28)\/(sqrt(4) - -3*sqrt(16)\/sqrt(4)).\nAnswer: -2058 + sqrt(7)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 5176 to the power of 1\/3, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 170399 divided by 2053.\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-66)\/(-88))\/((-9)\/6)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*w - 1237 = 325. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -475*m + 2781*m + 456*m + 2679*m as g + s*m and give s.\nAnswer: 5441","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Expand (8*x + 6*x + 5*x)*(-28 - 59 + 11 - 38).\nAnswer: -2166*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -93 + 59. Let r = 20 + a. Is 29 a factor of (r\/5)\/(2\/(-70))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(a) = 18*a**2 + 59 - 59. Let u(s) = 4*s**2. Determine h(u(l)).\nAnswer: 288*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 10 - 49a43?\nAnswer: -49a33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is l in -l**2\/4 - 15947*l = 0?\nAnswer: -63788, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 7\/27 and (-56)\/(-78) - (-8)\/(-12).\nAnswer: 351","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 308 + -304. Let t be ((-1)\/k + 65\/52)*-1109. What is t rounded to the nearest ten?\nAnswer: -1110","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -2*l + 2*l - l - 3*l - l + 2*l + (-21 + 104 + 32)*(-2*l + 0*l + l) + 5*l - 3*l - 4*l.\nAnswer: -120*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 15 or 9?\nAnswer: 15","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 5*b + 2*j + 12, b - 23*j + 16 = -20*j for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let k(j) = j**3 + 54*j**2 - 7*j - 379. Let f be k(-54). Let h(m) = 2*m**3 - 1. Give h(f).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(l) = l + 3. Let f be z(-3). Suppose f = -9*d + 56 - 11. Suppose -2*s = -4*x + 12, -5*s + 14 = d*x - 16. Which is bigger: s or 9\/5?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 165253 by 913.\nAnswer: 181","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 425202.\nAnswer: 2, 3, 70867","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -0.05 + -0.01. Let q = o - -2.06. Let j = 4\/5 + -11\/20. What is the closest to -0.2 in j, q, 4?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine y so that 5*y**5 + 60*y**4 + 240*y**3 + 400*y**2 + 240*y = 0.\nAnswer: -6, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (210\/4928)\/((-2)\/(-1608)). Let d = q - 315\/11. Calculate the common denominator of d and 25\/11.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(i) = -2*i**2 + 3*i + 39. Let l(u) = -u**3 - u**2 + 2*u + 2. Determine 2*l(j) - w(j).\nAnswer: -2*j**3 + j - 35","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose h - 652 = -646. Put 1\/2, h, -3\/7 in ascending order.\nAnswer: -3\/7, 1\/2, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*y + 4*y + 4*y = y - 388 for y.\nAnswer: -97","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 426662 + 41?\nAnswer: 426713","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 647809738?\nAnswer: 2, 73, 4437053","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve -126 = -254*k + 236*k for k.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*i + 4*u = -28, 4*i - 5*u - 33 = -0*i. Suppose -13 - i = -z. Is 15 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 54 + 1\/(-3) + 6512\/(-444)?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(v) = -v**3 - 3*v**2 + 6*v + 6. Let p be t(-4). Let f = 3 - p. Suppose -5 = 2*b - 4*l - 19, l - f = 0. List the prime factors of b.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 76\/1151255 and -71\/16317.\nAnswer: 10361295","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((p**(1\/7)*(p\/p**(4\/3))\/p)**(-1\/2))**(-27))**(-7) assuming p is positive.\nAnswer: p**(225\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 97368419?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -1 and -2061613?\nAnswer: 2061613","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (h*h**(1\/13)*h*h)\/(h\/(h*h**(-3\/5)\/h*h)) assuming h is positive.\nAnswer: h**(161\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 49\/958199 and -62\/7926919.\nAnswer: 87196109","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 + 0 - j**2)*(-1 + 0 + 3) - 4*j**2 - 5*j**2 + 4*j**2 + (-2 - 3*j + 2)*(-10*j + 0*j - j).\nAnswer: 26*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Put -1031, -5, 2 in increasing order.\nAnswer: -1031, -5, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Product of -7999 and 0.9.\nAnswer: -7199.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {e: 1, t: 8, s: 2, i: 6}. Give prob of picking 2 t.\nAnswer: 7\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"}
{"text":"Question: Let c = -80 - -115. Let h be ((-248)\/(-6))\/4*(-3 - 0). Let a = c + h. What is the greatest common factor of 12 and a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*s = -2*f, 0 = -5*f - 10. Suppose 0 = -m + s*l + 9, -3*l - 3 = -4*m - 6*l. Let c be 5 - ((-1)\/m)\/(2\/12). Put 3, -0.3, 0, c in decreasing order.\nAnswer: c, 3, 0, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 6039774 to the power of 1\/3, to the nearest integer?\nAnswer: 182","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1\/3 in -1, 4, 0.2, -9?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 3345751*o - 2268161 wrt o?\nAnswer: 3345751","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 439*o = 428*o - 11 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 2705 - 2706. Put f, -4, 14 in descending order.\nAnswer: 14, f, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -6438*k**3 + 1126*k**3 - 17128*k**3 + 1412*k**3.\nAnswer: -21028*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 39 = -k + 3. Let m be 4\/(-14) + k\/21. Let l = 3 + m. What is the units digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1 = -3*z + 7. Solve 0 = z*a - 6*a + 12 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.2 in 24, -2, -1, -23, -4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*x = 14*a - 22*a - 31, -a + 2*x = a + 12 + 4 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -0.2, 836, -51?\nAnswer: 836","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 1110001010010111 + -100?\nAnswer: 1110001010010011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 158 and 866235?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -428772261 divided by -142924087.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let z(b) be the third derivative of -b**5\/12 + 5*b**4\/8 - 33*b**2. What is y in z(y) = 0?\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 446 minutes after 8:46 PM?\nAnswer: 4:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: 16650 * -12724\nAnswer: -211854600","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -127\/30 and 169\/3840?\nAnswer: 3840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1*(-3*(sqrt(275) + 0 + sqrt(275) + 1 - (-2*sqrt(275) + 3)) + (sqrt(275) + -2 + sqrt(275) + -2 - (sqrt(275)*3 + -5))))**2.\nAnswer: -910*sqrt(11) + 46524","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 83\/30 and 29\/6?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Convert 251200 (base 6) to base 2.\nAnswer: 101011100110000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -10011 + 1101100101011?\nAnswer: 1101100011000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (154\/22 - (0 + (-2)\/(-3))) + -5. Factor -c*t + 1\/6*t**2 - 3\/2.\nAnswer: (t - 9)*(t + 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -5, 1, -3, 25.58?\nAnswer: 25.58","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 103016?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1684 = 4*w - 292. What is the units digit of w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(d) = -14*d**2 + 102*d + 5. Calculate z(8).\nAnswer: -75","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let t(i) = -2*i**2 - 6*i + 1. Let z(a) = 10*a**3 + 1184*a**2 - 3214*a - 1459. Let b(x) = 5*t(x) - z(x). Factor b(p).\nAnswer: -2*(p - 3)*(p + 122)*(5*p + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -271*q**2 - 5815 + 5814 - 117*q**2 + q**2 + 2*q - 2*q - 4 + 4 + 2*q**2 + q**2 + 0*q**2 + q**2 + (-3*q + 6*q - 4*q)*(-q + 0*q + 0*q) - 1 + 1 - q**2.\nAnswer: -383*q**2 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 6279.4 - 4670. Let x = i + -1633.4017. Let l = x + 24. What is l rounded to 3 decimal places?\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -a**3*h + 61*a**2*h**2 + 152*a*h**2 + 3*a*h wrt a.\nAnswer: -6*a*h + 122*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 11 a factor of 176?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let k(u) = 2*u + 4. Let z be k(-3). Let t = z - -6. Suppose -t*b + 37 + 51 = 0. What is the tens digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: ((-504)\/210)\/((-9)\/60*-2)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 19573 to the power of 1\/7, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 201 and 305027818?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let o(y) = -8*y**2 + 5*y + 8. Let g(a) = 8*a**2 - 4*a - 6. Let z(j) = -5*g(j) - 4*o(j). Let h(q) = 2*q. Calculate h(z(r)).\nAnswer: -16*r**2 - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -z + i + 5, 3*i + 15 = -5*z - 0. Suppose z = -24*c + 19*c + 55. Does 7 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -485\/18 + 163\/6. Let b(j) be the first derivative of -4\/3*j**2 - 2*j - a*j**3 - 10. Suppose b(z) = 0. Calculate z.\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {d: 5, v: 8}. What is prob of sequence ddv?\nAnswer: 40\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of y**5 + 2*y**4 - 410*y**3 + 3826*y wrt y?\nAnswer: 20*y**3 + 24*y**2 - 2460*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2*sqrt(30)*-1)\/(sqrt(90)\/(sqrt(27)\/sqrt(3))) - ((-1*sqrt(144))\/(sqrt(12)\/(sqrt(4)*-1)))**2.\nAnswer: -48 + 2*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*g = -5*o + 7*g - 23, g = 5*o + 17 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*r + 5*p = 14, 0 = -2*r + p + 2*p - 8. Solve -5 = -r*c - 1 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4*q**3 + 1616*q**2 - 137924*q + 648720.\nAnswer: 4*(q - 68)*(q - 5)*(q + 477)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -2 - 111645677?\nAnswer: -111645680","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 367 minutes before 2:13 AM?\nAnswer: 8:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1 (base 12) to base 13.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Express -1 + 111*w - 1 + 2 in the form j + s*w and give s.\nAnswer: 111","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let s(g) = -g + 1. Let u(p) = -3*p + 5. Let c(m) = 5*s(m) - u(m). Let a(q) = -148*q + 148*q - 3*q**2. Determine a(c(r)).\nAnswer: -12*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 34867?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (1566\/(-315)*-5)\/((-3)\/(-42)). Calculate the greatest common divisor of m and 96.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (r**2 - 3*r**2 + 0*r**2)*(-2*r**2 + 0*r**2 + r**2) + 10*r**4 - 6*r**4 - 2*r**4 - r**4 + 2*r**2 - 2*r**2.\nAnswer: 3*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1?  (a) 3  (b) -6  (c) -1307  (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Put -3, 0.21683, -1, 0.023 in descending order.\nAnswer: 0.21683, 0.023, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -y + 5*i + 5, -2*i + 5*i + 3 = -4*y. Suppose -a + y = -6. Let b(m) = 2*m - 1. What are the prime factors of b(a)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -13448 or -13424?\nAnswer: -13448","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1518 is divided by 95.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let l(v) = 76*v**2 + v + 1. Let u(f) = -155*f**2 - 2*f - 2. What is 5*l(b) + 3*u(b)?\nAnswer: -85*b**2 - b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*j - 11 = -3*j - 4*n, 5*n = -j - 2. Differentiate 22*w + 235 - 15805*w**2 + 15805*w**2 + 2*w**j with respect to w.\nAnswer: 6*w**2 + 22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -10828, -17607, -24386, -31165, -37944, -44723?\nAnswer: -51502","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 268062?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Factor -h**4\/7 + 4*h**3\/7 - 4*h**2\/7.\nAnswer: -h**2*(h - 2)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -3 - -4c9?\nAnswer: 4c6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -11162.3 - -11153. Let q = -1624240.300158 + 1624231. Let u = q - d. What is u rounded to 5 decimal places?\nAnswer: -0.00016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of -1897, -15088, -50889, -120604, -235537, -406992?\n\"Answer: -1884*n**3 - n**2 - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -1\/3, -0.5, 39099, 5, -3?\nAnswer: 39099","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is -1568 less than -0.1?\nAnswer: 1567.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2943 is divided by 808.\nAnswer: 519","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 22 - 1621*n + 3138*n - 61 - 1500*n + 39.\nAnswer: 17*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let w(p) = -3*p - 22. Let b be w(-12). Let r = b + 2. Is 6 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*o - 37040012 = 4*m, -2*m - 11029791 = -o + 7490205. What is m rounded to the nearest 1000000?\nAnswer: -9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(g) = -2*g**2 - 21*g + 111. Determine p(5).\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-43*h + 14*h + 12*h)*(0 - 2 + 1)*(-h + 2*h + 0*h).\nAnswer: 17*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -1.106 - 0.054. Let g = 0.16 + i. Let h = 0.19 + 3.81. What is the fourth smallest value in -0.1, 0.5, g, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {n: 1, p: 4, e: 2, u: 2, a: 1}. Give prob of picking 1 e and 1 p.\nAnswer: 8\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3 - 5 - 1)*(-2*s**3 - 3*s + 3*s) - 8*s**3 + 8 - 8 - s**3 - 3*s**3 + 3*s**3 + (-8 + 8 - 13*s**2)*(-10 + 10 - 5*s).\nAnswer: 62*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Convert -101232234 (base 7) to base 11.\nAnswer: -3386934","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 570 minutes after 7:30 AM?\nAnswer: 5:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let i be ((-5)\/(-10))\/((-1)\/(-6)). Let m = 13 + -9. Suppose 0*w**2 - 2\/3*w**i + 2\/3*w - 1\/3 + 1\/3*w**m = 0. Calculate w.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(t) = 3*t - 33. What is b(25)?\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 12*s - 9*s - 36. Suppose s*w - 10*w = -16. Let p = -0.6 + 0.9. Which is the third smallest value?  (a) p  (b) w  (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 180*f - 6 + 3 = 197*f - 4*r, -r - 21 = 3*f for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-6)\/(-4))\/((207\/(-36))\/23).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let y(r) = 6*r**2 + 5*r - 35. Suppose -4*m = 29 + 15. Let x(v) = -32*v**2 - 24*v + 174. Let p(n) = m*y(n) - 2*x(n). What is the derivative of p(b) wrt b?\nAnswer: -4*b - 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -2*o + 1 - 1 + (-1 - o + 1)*(0 + 2 - 7) + 39*o - 18*o + 38*o as k + f*o and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: (108\/84 - (-2)\/(-7))*-4\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*d - 2*d = 0. Suppose -3*l - l = d. Suppose -2*w = -a - 32, -a - 2 + l = 0. Is w < 14?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2815 = -5*m + n, n + 6 = 1. Let a be m\/1645 + -1*0\/2. Is a at most 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of -25, -27, -29, -31?\n\"Answer: -2*k - 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 39493, 39352, 38961, 38194, 36925?\nAnswer: 35028","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*k - 119992 = -2*d - 2*k, 5*d - 299996 = k. Round d to the nearest ten thousand.\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(j) = -294*j. Let d(u) = -782*u**2. Give x(d(m)).\nAnswer: 229908*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: ((-7)\/(-42)*3\/(-1))\/3\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 47875540*b**2*j - 1034*b**2 - 54*b - 11 wrt j.\nAnswer: 47875540*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 3 + -43?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -y = -5*h - 25, -4*h - 3*y = -10 + 49. Let u be (h - -9)*(-14)\/(-6). What is the third derivative of u - 4*g**4 - 2*g**2 - 7 wrt g?\nAnswer: -96*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:51 AM and 5:39 AM?\nAnswer: 48","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 34002, 33779, 33552, 33321, 33086, 32847?\nAnswer: 32604","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 0 and 44189412.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.00018598 to 5 dps.\nAnswer: -0.00019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 4143101 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 874893022?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -10101001 - -110011100?\nAnswer: 11110011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1473 is divided by 123?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Sort -21, 0.2, 79, -7.6 in descending order.\nAnswer: 79, 0.2, -7.6, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (8\/(-6))\/((312\/(-36))\/(-13)). What is the units digit of u\/14 + (-17475)\/(-21)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 9 divided by 32?\nAnswer: 9\/32","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3 = 2*h - 1. Let d(a) = -h - 2*a**2 - a**3 + a**2 - 2*a + 3 - 3. List the prime factors of d(-3).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 7 - 4. Suppose 2*p + 2 = -5*y + 9, 0 = 5*y + 5. Find the second derivative of l*q - q - p*q + q**4 + 2*q wrt q.\nAnswer: 12*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 12662 and 1842808.\nAnswer: 974","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Determine c, given that -30*c**4\/7 - 747382*c**3 - 11160806*c**2\/7 - 6626710*c\/7 - 697548\/7 = 0.\nAnswer: -174387, -1, -2\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -76 - -76.3. Let z = 5 + -5.34. Let t = 0.06 - z. Which is the second biggest value?  (a) t  (b) k  (c) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 358 + -358.00000167. Round y to 7 dps.\nAnswer: -0.0000017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((q*q\/(q**(-4\/3)*q*q))\/q)\/q**(-2\/7))\/(q**(3\/2)\/q*q*((q**(1\/5)\/q)\/q)\/q) assuming q is positive.\nAnswer: q**(403\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: 132\/242 - 9\/(-165)\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -131295, -262589, -393883, -525177, -656471?\nAnswer: -787765","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let -4*z**2 - 65588*z + 131192 = 0. What is z?\nAnswer: -16399, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 77735 is divided by 258.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let x(j) be the second derivative of -j**7\/630 + j**4\/4 + j. Let k(p) be the third derivative of x(p). Let r(d) = -29 + 29 - d. Determine k(r(l)).\nAnswer: -4*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let g(v) be the second derivative of 13 + 3*v**2 - 3\/2*v**3 + 1\/4*v**4 - 2*v. What is f in g(f) = 0?\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1 + -6*2*sqrt(405).\nAnswer: -108*sqrt(5) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 2242 and 118?\nAnswer: 2242","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -6*(sqrt(1125))**2 + 2*(sqrt(720) + 2).\nAnswer: -6746 + 24*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2 + 2 + (3 - -6 - 3).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 65 - -4?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve 19 = -a + 16 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of 8251, 14819, 21401, 28003, 34631?\n\"Answer: b**3 + b**2 + 6558*b + 1691","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -0.1 or 7655122?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 143084.\nAnswer: 2, 35771","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -15 + 25. Suppose 0 = -12*l + 6*l. What is the smallest common multiple of 17 + (-5 - l) - 6 and f?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 47 + -46.6. Let a = 1523 + -1523.3. What is the closest to a in k, 8, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(y) = 61*y + 27. Let j(q) = 33*q + 14. Calculate 7*j(i) - 4*p(i).\nAnswer: -13*i - 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 111 a factor of 18281145?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let t(w) be the first derivative of 5*w**2\/2 - 16. Let k(r) = -6*r**2. Determine t(k(f)).\nAnswer: -30*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -159, -473, -1385, -3195, -6203, -10709?\nAnswer: -17013","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-18)\/112*48230\/(-8268)*2\/(-20).\nAnswer: -3\/32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*i - 3502 + 3322. What is the greatest common divisor of 1053 and i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (2\/(-12))\/((-268)\/16080)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -130.193167 - -130.2. What is i rounded to three dps?\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -80313951*z**4 - 3*z**3 - 10*z**2 - 12996656*z?\nAnswer: -1927534824*z - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (0 - -2) + 3 + -3 + (-5559 - -5551).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let q be -1*(1 + 0 - 5). Suppose 2*i = -0*i + 4, 3*v - 7 = 4*i. Suppose -5*u + 12 = -u - q*s, u - v*s = -5. Calculate the remainder when u is divided by 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -4954 * -19967.\nAnswer: 98916518","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 273205190 to the power of 1\/9, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 96 a factor of 30611?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Expand (r**2 - 2*r**2 + 2*r**2)*(5 + 1 + 0).\nAnswer: 6*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = m - 1 - 2. Let a = 50 - 152\/3. What is the third biggest value in -2, m, a?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -66 + -33. Let y = -41 - z. Suppose -3*j + y + 83 = 0. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 307 - 307 - 32*d + 7769*d**2.\nAnswer: 7769*d**2 - 32*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 9 + -2. Suppose -s + j = -3. What is the highest common factor of 80 and s?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(q) = -q**2 + 15*q + 149. Let z be h(-7). Calculate the lowest common multiple of 2*-3 - 90\/z and 1834.\nAnswer: 11004","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence lz when two letters picked without replacement from {g: 2, j: 3, l: 1, z: 1}.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:53 AM and 8:28 AM?\nAnswer: 155","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: How many seconds are there in 6386.003 microseconds?\nAnswer: 0.006386003","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:18 PM and 1:14 PM?\nAnswer: 56","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1 = 3*g - 2*k - 21, 2*k + 16 = 2*g. Suppose 30 = 5*c - 0*c - 3*f, 5*c - 5*f - 30 = 0. What is the greatest common factor of c and g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 28.1375 - 0.2?\nAnswer: 27.9375","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -56 + (14 - -34) - (-2 + 3)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -53\/6 and -89\/1997304?\nAnswer: 1997304","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -42684295*s*x**3 + 15*s*x**2 - 427352*x**2 wrt x?\nAnswer: -256105770*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 195, 391, 589, 789, 991, 1195?\nAnswer: 1401","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 3 + -1. Suppose 5*i - b*i = 0. Suppose i = 3*f - 2*f - 12. Is f a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -29 - -79. Calculate the remainder when b is divided by 18.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 16418982?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is five quarters of a litre in millilitres?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let r(a) = -9*a + 40. Calculate r(8).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*a = 2*a - 28. Suppose 3*p - 32 = -p. Calculate the remainder when a is divided by p.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 1 + -2353?\nAnswer: -2352","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 2 in 0.5, 4, -0.4, -0.3?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from bohfohohhfofhm. Give prob of sequence off.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 76 - 53. Let u = -148 + 555. Let i = 453 - u. What is the highest common factor of k and i?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find a such that 0*a**2 - 1226740*a + 4*a**2 + 1226604*a - 780 = 0.\nAnswer: -5, 39","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1\/2, 0.1, 81504\/25 in increasing order.\nAnswer: -1\/2, 0.1, 81504\/25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*k - 18 = 9. Suppose -k*r + 6*r = 0. Sort -1, 1\/6, r in increasing order.\nAnswer: -1, r, 1\/6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -0.5, -0.4, 3\/8, 0.24, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is -2\/3 smaller than -178\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1409 is divided by 77?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let t(f) = -f**2 - 12*f - 37. Let p be t(-4). Suppose -3*k = 1 - 16. Let g(u) = -k*u - 4 + 0*u + 2*u. Calculate g(p).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-1)\/(3\/(-16)) - 4. Let i = 11\/20 - 3\/10. Sort -4, k, i.\nAnswer: -4, i, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1 divided by 1164.\nAnswer: -1\/1164","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*n - 5 = 5 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: -62 divided by 7\nAnswer: -62\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Expand (9*f**4 - 6*f**4 + 0*f**4)*(-9 + 1 + 3 - 3).\nAnswer: -24*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange w**4 - 8*w**4 - 2 + 3*w**4 + 4*w**2 + w**3 + w**4 to k + l*w**3 + j*w**2 + q*w**4 + p*w and give l.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 560 minutes after 3:10 PM?\nAnswer: 12:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: 9aa92 (base 11) to base 6\nAnswer: 3045422","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 20213569063 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 2758?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence mw when two letters picked without replacement from tbbtytwtbwytttbm.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*i**4 + 7*i**3 - 17*i**2 - 10*i = 0 for i.\nAnswer: -5, -1\/2, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of -349, -203, -89, -25, -29?\n\"Answer: -3*g**3 + 2*g**2 + 161*g - 509","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-30)\/9 + (-20)\/30.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-9500)\/71250)\/(2*(-34)\/(-20))?\nAnswer: -2\/51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 89*c = 83*c + 11358. What is the thousands digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of -3373355, -3373353, -3373351, -3373349, -3373347, -3373345?\n\"Answer: 2*u - 3373357","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -3*j**4 + 2*j**3 + 2241*j**2 + 3330*j?\nAnswer: -36*j**2 + 12*j + 4482","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*l - 19*l - 16*l + 239349 = 0. What are the prime factors of l?\nAnswer: 7253","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 407791\/26 + -15686. Is -0.1 smaller than v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 4*b**2 + 3*b**2 - 2*b**3 + 2 + 3*b**3 - 5*b**2 to p*b**3 + v*b**2 + x*b + a and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 83132 and 2.\nAnswer: 83132","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-1)\/3*(-49 - 2). Calculate the highest common divisor of 17 and g.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 10592, 10634, 10686, 10754, 10844, 10962, 11114?\nAnswer: 11306","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -17*f - 13899903199 + 13899903199.\nAnswer: -17*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 98859 - -25?\nAnswer: 98883","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -30 = k - 6*k + 2*d, k - 2*d + 2 = 0. Suppose 0 = -4*s + 2*z - 14, 0 = -2*s + 5*z - 3 - k. What is the biggest value in s, 0.01, 2\/11, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -24 - -81. Let p = -27 + f. Let s = -2 + 7. Calculate the highest common divisor of s and p.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -16*b - 6 - 26 = 0 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -1\/579624 and 121\/7535112.\nAnswer: 7535112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-144)\/(-384) - 678\/16. Suppose 5*a = -5*f + 2*a - 146, -4*f + 2*a = 130. Let o = f - y. Solve 0 = 3*p - 2*h + o, p = -2*p - 4*h - 5 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -7421.00110218 + 7421. What is b rounded to five decimal places?\nAnswer: -0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-528)\/84)\/(-22)*(-1 - (-38)\/45)?\nAnswer: -2\/45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 2810 - 2798. Solve 3*y = 4*s - z, -4 = -37*s + 35*s + y for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-2)\/(-4)*36\/6. Suppose -28 = -h*u - 4*i, u + 3*i - 16 + 0 = 0. What is the first derivative of -1 - 9*l + 2 - u wrt l?\nAnswer: -9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(d) = -4*d + 8. Let g(w) = -2 - 3 + 4 + 18*w - 19*w. Let v = 2777 - 2775. What is v*g(m) - c(m)?\nAnswer: 2*m - 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ds when two letters picked without replacement from {s: 5, t: 3, f: 5, d: 1, j: 1}?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 264 and 1617.\nAnswer: 12936","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is -5 less than or equal to 1.46773?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let b be -6*1 + (3 - 3). Let u(d) = d**2 + 4*d - 8. Let q be u(b). Calculate the smallest common multiple of 12 and (-9)\/(q\/((-16)\/6)).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(v) = 5*v**3 + 5*v**2 - 6*v - 8. Let x(h) = -9*h**3 - 9*h**2 + 11*h + 15. Let i be (-4674)\/60 - (-1)\/(-10). Let r = i - -89. What is r*z(s) + 6*x(s)?\nAnswer: s**3 + s**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"}
{"text":"Question: Let t = -1.488 + -0.112. Which is the fourth biggest value?  (a) 4\/7  (b) -0.5  (c) 4  (d) t\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 27 divide 2592?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((b\/(b*b**(-9)*b))\/((b*b**(-2))\/b*b))**18)**(-11\/4) assuming b is positive.\nAnswer: b**(-891\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 149.72 - -2.28. Let o = -151.9999937 + w. What is o rounded to six decimal places?\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 120998?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -w = -0 + 5, 0 = 2*n - w - 9. Suppose -n*f - 2*f = 3*s - 509, -16 = 4*f. Suppose -956 + 1156 = 8*x. What is the highest common factor of x and s?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (3700\/(-148))\/(15\/(-9)).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 570*k - 206*k**2 + 573*k - 1125*k wrt k?\nAnswer: -412","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 26 divide 552454973?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is -27126070 divided by -7?\nAnswer: 27126070\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 22008 and 28.\nAnswer: 22008","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let z(d) = d**2 + 3*d - 2. Let q = 253 + -254. Let h(x) = x. Give q*z(n) - 2*h(n).\nAnswer: -n**2 - 5*n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (36\/(-48))\/((-210)\/120).\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(x) = -66*x + 11. What are the prime factors of r(-4)?\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 23\/(-18) + (-6)\/27. Let y = -0.7 - -3.7. What is the second smallest value in i, y, 3\/2?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (25\/15)\/(1\/(-60)). Let o be (7\/(-14))\/(1\/c). What is the highest common factor of o and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 464 - 372 = 24*c - c for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 169256175 is divided by 1719.\nAnswer: 1716","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence zq when two letters picked without replacement from eyzxpxq.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Sort 32, -1, -2, 1 in decreasing order.\nAnswer: 32, 1, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -41\/36 and -1\/2852.\nAnswer: 25668","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is -788826000 rounded to the nearest 1000000?\nAnswer: -789000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 5 - 8. Let l = -5 + 4. Which is the nearest to l?  (a) d  (b) 3  (c) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 35\/1745262 and 3\/3878360.\nAnswer: 34905240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -625208*b**4 - 2*b - 315603?\nAnswer: -7502496*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Express -4*d**3 + d**4 + 4*d**3 - 2*d**4 - d**3 - 11*d**2 + 5 + 2*d**3 as g*d**3 + c*d**2 + b*d + o*d**4 + w and give g.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3, 31, -3 in descending order.\nAnswer: 31, 3, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 68 - 53. Let x be (125\/5*(-22)\/(-77))\/(8\/28). Which is smaller: x or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 111 + -108. Suppose -16*j = -x*j - 702. What is the remainder when j is divided by 19 - 0*(-2)\/4?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine n, given that n**2\/4 - 1611*n + 570392 = 0.\nAnswer: 376, 6068","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let v(x) = -x**2 - 6*x - 1. Let k = -15 - -9. Let s be v(k). Let i be (-1 - -2) + 0 + s. Which is smaller: -0.01 or i?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 13583447 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: Let p = -6 - -27. Suppose -l = -p - 10. What is the units digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 21*a**3 + 31*a**3 + 33*a**3 + (3*a**3 - 2*a**3 + a**3)*(-3 + 5 - 1) - 3 + 3 - a**3 + a**3 - 5*a**3 + 2*a**3 - 4*a**3 - 7*a**3 - 3*a**3.\nAnswer: 70*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of (-1 + 5 + -1)\/(6\/1362).\nAnswer: 3, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 13680 is divided by 3416.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let f be ((-4)\/5 - (-2)\/(-10)) + 9. Let l(h) be the first derivative of 9 - f + 16*h**3 - 18 + 5*h**5 + 0*h**5. What is the third derivative of l(p) wrt p?\nAnswer: 600*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 298 minutes after 11:44 PM?\nAnswer: 4:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let y(x) = -12*x**2 - 508*x - 5129. Determine y(-10).\nAnswer: -1249","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 5293 a multiple of 79?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 2253781157 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((b\/b**0)\/b)\/(b\/b**3)*b**(2\/9)\/b*b**(-1)*((b\/b**(-9))\/(((b**(-1\/5)*b)\/b)\/b))\/(b**(3\/4)\/(b*(((b*b**6*b)\/b)\/b)\/b*b)) assuming b is positive.\nAnswer: b**(3181\/180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 2094 + -2035. Suppose 0 = q - 5*a - 14, q - 16 = -4*q - 2*a. What is the remainder when z is divided by q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 715 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 1, -3, -7, -11, -15, -19?\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 673*b - 668*b - 49 = -2*m, -41 = -3*m - b for m.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -5\/2?  (a) 10  (b) 49\/3  (c) -25\/11  (d) 2\/13  (e) -1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Convert -320120302 (base 4) to base 14.\nAnswer: -60254","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1743898.\nAnswer: 2, 13, 67073","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6 + 2 = -2*k. Let b(y) = y + 3*y - k*y - y. Let t be b(5). Solve -4*o + t = o for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(h) = -23106*h**2. Let q(g) = 4*g**2 - 9. Determine q(r(f)).\nAnswer: 2135548944*f**4 - 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 3*x**2 - 363*x - 4*x + 10*x**5 - 17*x**5 + 52108*x**4 - 52093*x**4 wrt x?\nAnswer: -140*x**3 + 180*x**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 4 (base 14) to base 13.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*v + 2*i = -56, 4*v = -4*i - 0*i + 108. Suppose -24*w + v*w = -360. What is the units digit of w?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -1368*b**3 - b**2 - 13*b - 5?\nAnswer: -8208","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -61 - -60 - (-1 - (-3 - -1)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 51 divided by -17\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*o = 3*l - 0 - 1, 0 = 4*l + 12. What is the nearest to -0.07 in o, -1, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -o**3 + 6086*o**2 - 8309824*o + 49640064.\nAnswer: -(o - 4024)*(o - 2056)*(o - 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: How many micrometers are there in 1\/10 of a millimeter?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -59 + -24?\nAnswer: -80","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*h + d - 59, 4*h = 3*d + 27 + 5. Find the first derivative of -h + 75 + 37 + 92 - 33 - 79*a wrt a.\nAnswer: -79","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 1\/(1\/((-18)\/(-2))). Let h = 14 - k. Suppose -3*m - 20 = -h*c - m, -2*c = 5*m + 21. Solve -c*l = -l + 4 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 30 a factor of 13260?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -383, -1479, -3287, -5801, -9015, -12923?\nAnswer: -17519","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -40 (base 11) in base 3?\nAnswer: -1122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (0 - 0) + (16 - 9). Let v be 3\/(-2) - 1570\/(-20). What is the highest common factor of b and v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -k**4\/4 - 9601*k**3 - 61924311*k**2\/2 - 34643108133*k - 52227160464825\/4 = 0.\nAnswer: -34975, -1143","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*z = -z + 3. Let d be (-1 + 0)*(z - 3). Which is the second biggest value?  (a) -4  (b) 2\/3  (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -4.34 plus 627831?\nAnswer: 627826.66","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 3090 and 1188620?\nAnswer: 1030","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (4 + sqrt(684)*3 + 4 + (2*(sqrt(684) + 0) - (sqrt(684)*-1 + 0)))**2.\nAnswer: 576*sqrt(19) + 24688","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 21 + 27 + -29 + 0.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 9644129 to the nearest integer?\nAnswer: 3105","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Sort 31, 12455, -5 in descending order.\nAnswer: 12455, 31, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of -4022, -4031, -4046, -4067, -4094?\n\"Answer: -3*p**2 - 4019","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -1056.3 - -1056. What is the nearest to -3\/10 in y, -3, 3\/5, -4?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(o) = 7*o**3 + 10*o**2 + o + 1. Let j = -9 + 12. Let m(c) = -4*c**3 - 5*c**2 - c. Let b(p) = j*r(p) + 5*m(p). What is b(-5)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 4 - 4. Let c(z) = z**2 - 3*z + 2. Let r be c(2). Let l = -3 + r. Put l, k, 2 in ascending order.\nAnswer: l, k, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(l) = l**3 - 8*l**2 - 5*l - 24. Calculate the least common multiple of q(9) and 27.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3\/8, 1.28, 1\/5, -11, -0.3.\nAnswer: -11, -3\/8, -0.3, 1\/5, 1.28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 531034 and 84?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve t + 10 = -5*z, -3190*z + 7*t = -3186*z + 47 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 11012 and 18?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Does 89 divide 12549?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 65674396?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 364\/104*(0 + 52\/42)*2\/6.\nAnswer: 13\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4 + 3*k**3 + 4)*(-266 + 130 - 478*k + 136).\nAnswer: -1434*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -33*i**2*s - 215859*i**2 - 2282*i*s + 20*s wrt i?\nAnswer: -66*s - 431718","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 1541 + 122?\nAnswer: 1663","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 300525701 to the power of 1\/2, to the nearest integer?\nAnswer: 17336","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5 = r, -3*r = 4*y - 0*r - 203. Let z(q) = q**2 + 3*q - 2. Calculate the remainder when y is divided by z(3).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 0 + -3. Let g be (1\/j)\/((-5)\/45). Suppose -p - g*p = 3*z + 18803, 0 = 3*p - z + 14099. What is p rounded to the nearest 1000?\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 2\/97 - 109\/582. Which is the closest to 0?  (a) -0.3  (b) -2  (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is a in 3*a**3 - 474*a**2 + 3147*a + 3624 = 0?\nAnswer: -1, 8, 151","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let h(v) = 21*v**2 - 18*v + 41. Is 29 a factor of h(6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -32 - -21337480.\nAnswer: 21337448","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let a(d) = -10*d**2 + d - 6. Let q(i) = i. Let h(z) = -a(z) + 4*q(z). Let x be h(-2). Let l be 10\/3*(-9)\/(-3). What is the greatest common factor of l and x?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(k) = 5*k**2 + 503 - 503. Let c(s) = -2*s - 4. Let q(a) = -2*a - 3. Let y(x) = 3*c(x) - 4*q(x). Give y(t(b)).\nAnswer: 10*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let w(k) = 2*k. Let t(h) be the second derivative of 461*h**3\/2 + h - 64. What is w(t(x))?\nAnswer: 2766*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let h(z) = 255*z + 292. Let d(x) = 255*x + 292. Let v(q) = -5*d(q) + 6*h(q). What is the derivative of v(l) wrt l?\nAnswer: 255","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -183763947*u**4 - 167719115*u?\nAnswer: -2205167364*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -19 in 0.4, -3, 0.5, 5, -2\/35?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 320 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 56 - 53. Suppose 5*q = -4*o + 23, -q + 14 = o + s*q. Let f(a) be the third derivative of a**6\/120 + a**5\/20 - a**4\/8 + a**3\/2 - 3*a**2. Calculate f(o).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 4464 a multiple of 54?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1068*n = 1053*n + 120 for n.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 1 + 2212210330022?\nAnswer: 2212210330023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -7 - -6. Let o be 1*k\/1 + 3. Suppose o*i + 2*i = 96. What is the greatest common divisor of 36 and i?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -15*c + 1 - 91. Let o(k) = 7*k**3 - 8*k**2 + 2. Let x(h) = -15*h**3 + 17*h**2 - 4. Give c*x(d) - 13*o(d).\nAnswer: -d**3 + 2*d**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: -39 + (-28 - -46) + (-4 - -8) + -5\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-2)\/(-3))\/(((-69)\/18)\/23)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (m**(5\/4)*m*m**(-10))\/((m*(((m**(3\/20)\/m)\/m)\/m)\/m)\/m**(-4\/33)) assuming m is positive.\nAnswer: m**(-1657\/330)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is -395.7439 take away 878.62?\nAnswer: -1274.3639","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Sort -638, 0.1, 2, -2, -2\/61.\nAnswer: -638, -2, -2\/61, 0.1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Add -1607.8982 and 0.50008.\nAnswer: -1607.39812","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -316886 and -10.3.\nAnswer: 3263925.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 8 + -18. Let y = b - -9.942. Round y to two dps.\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*p + h = 1, -4*p = 4*h - 5 + 1. Suppose -5*m = -4*m - 4. Suppose p = -m*x + 1255 + 1101. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -7 + -3. Suppose 5*d - 14 = -5*m + 4*m, -5*d + 5*m + 20 = 0. What is the remainder when 2\/h - (-72)\/10 is divided by d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: -130525 (base 13) to base 8\nAnswer: -1576174","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 830.\nAnswer: 2, 5, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Factor -y**2\/2 - 8*y - 32.\nAnswer: -(y + 8)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let w(z) = 916*z + 44. List the prime factors of w(2).\nAnswer: 2, 7, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of -329, -614, -899?\n\"Answer: -285*t - 44","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let f(x) = 9*x. Let k(y) be the first derivative of -55*y**3\/3 + 487. Calculate k(f(t)).\nAnswer: -4455*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((r*r*r**(7\/5))\/(r**0\/r))\/((r**(-1)*r)\/r**14) assuming r is positive.\nAnswer: r**(92\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 941729971 to the nearest integer?\nAnswer: 980","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: How many tonnes are there in 8699.998ng?\nAnswer: 0.000000000008699998","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let p(u) = 42*u + 1085. Is 7 a factor of p(35)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 104\/26*-1*(-1)\/(-5).\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (2\/(-6))\/(45\/(-54))?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -1443, -1512, -1581, -1650?\nAnswer: -1719","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -2\/3?  (a) -1\/3  (b) -1\/1476  (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -0.5 + 1.5. Let h be (-2)\/5 - 17\/(-5). Let o be h*13\/33 + -1. What is the smallest value in v, 2, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -3.4 + 3. Let s = -331.3 - -331.6. Which is the second biggest value?  (a) -2  (b) 3\/13  (c) s  (d) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -2006 - -2024. Is -6 less than a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 208 divide 26832?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is -13774 divided by -6887?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 35*d*z**6 - 2*d*z**4 - 2*d*z + 189*z**2 wrt z?\nAnswer: 4200*d*z**3 - 48*d*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -19 - -29. Let r(f) = -f**2 + 11*f + 10. Let u be 4\/(2 + (-8)\/5). What is the smallest common multiple of r(u) and b?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 3582 is divided by 22?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 2376647 to the power of 1\/8, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let o be ((-1 - 2) + 2)\/((-25)\/10). Let i be (-2)\/(-8) + 2\/(-8). Factor i + o*d**2 - 1\/5*d + 3\/5*d**3.\nAnswer: d*(d + 1)*(3*d - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -n - 37*n + 38. What is the highest common divisor of 23 and n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 46 + -42. Put 1, o, 2 in decreasing order.\nAnswer: o, 2, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 75*c - 311*c + 424 = 4*h, -c - 3*c + 9 = 1 for h.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let z(v) = 11*v. Let j(h) be the first derivative of -h**2 + 15. Give j(z(d)).\nAnswer: -22*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 144567\/18 + 6\/(-4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: -3 - (6 + -13 - (1 - 0))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let j(h) = 9*h - 2. Let f(t) = 8*t + 13. Let c(a) = -15*a - 24. Let p(z) = -6*c(z) - 11*f(z). Let g(x) = j(x) - 4*p(x). Determine g(3).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 13440 + 413?\nAnswer: 14253","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 17\/2 of a hour in minutes?\nAnswer: 510","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is (26 - (28 - 4) - (9 + 0)) + -6?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 24 times 0.1\nAnswer: 2.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let u(o) = 7*o + 0*o**2 - 2*o**2 - 10 + 3*o. Let k = 2 - 1. Let w(i) = 1 + 245*i + 232*i + 229*i - 707*i. Calculate k*u(g) + 10*w(g).\nAnswer: -2*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:28 PM and 2:39 AM?\nAnswer: 251","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 1246181 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 896311 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 0*d - 2 + 5*d + 7*d - d.\nAnswer: 11*d - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let p(t) = t**3 - 4*t**2 - t + 4. Let b be p(4). Factor 1 - 3*s + 4*s**3 + 6*s**2 + 7*s + s**4 + b.\nAnswer: (s + 1)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there in fifty-four fifths of a day?\nAnswer: 15552","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -9, -3, -5, -21, -57, -119, -213, -345?\nAnswer: -521","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Factor -j**2\/4 - 241*j - 58081.\nAnswer: -(j + 482)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -x = -3*p + 17, 0 = 2*p - 7*x + 3*x - 28. Suppose -p*l + 12 = -20. What is the greatest common divisor of l and 40?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -2208*r**3 + r**2 + 47431*r - 27?\nAnswer: -13248*r + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -13168*a**2 + a + 23327*a**2 + 19539*a**2.\nAnswer: 29698*a**2 + a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 52\/(-351)*12 + 2?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(k) = -493*k + 421. Is h(-42) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 91 - 58. Let j be (-2)\/((-6)\/z) - 3. Is 14 a factor of (-8)\/(-5)*(j + 27)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {c: 1, g: 5, x: 3, p: 4, v: 4, z: 1}. Give prob of sequence gcv.\nAnswer: 5\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -2299673\/10259784 + 6\/15833. Find the common denominator of 11\/48 and l.\nAnswer: 1296","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from zazwn. What is prob of picking 1 n and 2 z?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -32a864 - -1?\nAnswer: -32a863","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ss when two letters picked without replacement from usssusukusuuu.\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:16 PM and 8:56 PM?\nAnswer: 40","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve -21*z + 17*z = -71*z + 2558 - 615 for z.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 0 + 0 - 2*t + 3*t + 8*t - 3*t + (1 + 3 - 2)*(-3 + 3 + t) to the form p*t + a and give p.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 6 divided by 14135994.\nAnswer: 1\/2355999","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve -63 = -3*w - 84 for w.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -6, -8, -20, -48, -98, -176, -288, -440?\nAnswer: -638","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 19 + -1. Let v = 18.5 - k. Which is the nearest to 1\/2?  (a) -1  (b) 4  (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 7*y**2 - 4*y**2 - 18*y + 3*y**3 + 6*y - 12.\nAnswer: 3*(y - 2)*(y + 1)*(y + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4, 2, 2489 in descending order.\nAnswer: 2489, 2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -0.32 and -0.328?\nAnswer: 0.10496","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 15055, 13908, 12001, 9334, 5907?\nAnswer: 1720","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Divide -364674 by -3.\nAnswer: 121558","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 216211 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 10.3 at least -41.17?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Find n, given that 3*n**2\/7 + 228*n\/7 + 1065\/7 = 0.\nAnswer: -71, -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 535 minutes before 11:14 AM?\nAnswer: 2:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*j**5 - 908*j**4 + 1838*j**3 + 6344*j**2 - 18216*j + 10944 = 0. Calculate j.\nAnswer: -456, -3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let m(u) = 4*u**2 - 155*u + 1207. What is m(28)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 1982 a factor of 984899038?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -4 + 22*r + r + 3 + 14 + r to the form x + g*r and give x.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -25.8 - -25.5. What is the third biggest value in -0.014, j, -1\/4?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sum 3022.96 and -502733.\nAnswer: -499710.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: ((-186)\/(-180) + 3\/(-9))\/(21\/42)\nAnswer: 7\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:13 AM and 1:22 PM?\nAnswer: 249","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.00000013869389 rounded to 7 dps?\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*f - 2*g + 18, -2*f + 14 = -4*f + 2*g. Let r = -3 - f. Let t(o) = r - 2 - o - o. Give t(3).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 5 + -223?\nAnswer: -218","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 1065 and 71?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: -e1 (base 15) to base 14\nAnswer: -111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -0.5, 1\/3, 2\/112821?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: How many decades are there in 4497.897 months?\nAnswer: 37.482475","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -0.5, -5, 0.251?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 13197 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -2 + -1 + (20 - 17)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 79*w + 89*w + 434 = -49*w. Sort 24, w, -63.\nAnswer: -63, w, 24","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 3\/4, 31, 2, -7, -2\/19, 5 in decreasing order.\nAnswer: 31, 5, 2, 3\/4, -2\/19, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 45*s**3 - 50*s - 1022 wrt s?\nAnswer: 135*s**2 - 50","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 8 in -1, -3, 4, 2.5, -2?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 124.0142 minutes in seconds?\nAnswer: 7440.852","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0000385258 to 7 decimal places.\nAnswer: -0.0000385","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -2449 + 4183. Suppose -u*d = -1733*d - 846. What is the hundreds digit of d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (235 + 489 + 121 - 252 + 756)*(-3*f + 3*f - 10*f) to x*f + o and give x.\nAnswer: -13490","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 69418?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (((-28)\/65)\/(17\/(-85)))\/((-78)\/(-507)).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 22 + -16. Let d = b - -3. What is the remainder when 24 is divided by d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(v) = -3*v**2. Let i(c) be the first derivative of c**4\/24 - 4*c**2 + 8. Let y(q) be the second derivative of i(q). Give f(y(x)).\nAnswer: -3*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve -y = 3*c + 85 + 53 - 69, -115 = -49*y + 5*c for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate f**2*l**3*v + f**2*l**2 + 2*f**2*v + 238*l**3 + 3*v**2 wrt v.\nAnswer: f**2*l**3 + 2*f**2 + 6*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Express (3*z - z - 1 - 13)*(-2*z**2 + 3*z - 3*z) as w*z**2 + s*z**3 + c + o*z and give w.\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -396 - -401. What is the third biggest value in -5, -2, v?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose i = -2*i + 9. Suppose -p + 600 = -5*p - b, -i*b - 290 = 2*p. Let q = p + 231. Round q to the nearest one hundred.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence pdf when three letters picked without replacement from fffpfvfdnvfd?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Determine z so that -5*z**2\/4 + 4945375*z\/2 - 4891346778125\/4 = 0.\nAnswer: 989075","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of 1319554, 1319555, 1319554, 1319551, 1319546, 1319539, 1319530?\n\"Answer: -f**2 + 4*f + 1319551","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 10147?\nAnswer: 73, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 70*g - 308 - 42. What is the greatest common factor of 640 and g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(a) = 7*a - 7*a - a. Let v(y) = y. Determine 4*u(o) + 3*v(o).\nAnswer: -o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -44 + -5. Let k be 3*(-9 - 7)\/1. Is k greater than or equal to g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -14, -64, -150, -272, -430, -624, -854?\nAnswer: -1120","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Convert -2020 (base 4) to base 3.\nAnswer: -12001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from mvvmvmmmmm. What is prob of sequence vvm?\nAnswer: 7\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 18897 - 17986. What is the tens digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 3612 - 3613. Suppose -70 = -9*w + 4*w. Suppose -w - 2 = 4*h. Sort h, 5, m, 4 in descending order.\nAnswer: 5, 4, m, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (7\/(28\/8))\/((-9)\/18)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*c - 8*c - 63 = 0. Let n = -272 + 405. Find the common denominator of ((-5)\/c)\/((-6)\/n) and -73\/10.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(z) = 5*z**3 - 2*z + 1. Let r be a(2). Let 24*s**3 + 109*s**2 + 82*s + 11 + 3*s**4 - 37*s**2 + 14*s + r = 0. Calculate s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(a) = 4*a**2 + 6*a + 6. Let y be p(-3). Put -4, 0, y in descending order.\nAnswer: y, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -n - 3*n - 28 = 0. Let k be 4\/(-14) - 30\/(-7). Let o(t) = 4*t**2 - t - 4*t**2 - 5 + 5*t**2. Let h(i) = 9*i**2 - 2*i - 9. Calculate k*h(l) + n*o(l).\nAnswer: l**2 - l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Sort -28, 1, -4, -1, 3, 494, -2.\nAnswer: -28, -4, -2, -1, 1, 3, 494","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*y - 183 = -195 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let x(v) be the first derivative of v**5\/60 + 11*v**4\/24 + 2*v**3\/3 + 71*v**2\/2 + 2*v - 73. Let g(k) be the second derivative of x(k). Give g(-11).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Do -193 and 98 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-9*u + 4*u + 16*u)*(1 + 7 - 3) + (-3*u + 3*u + 2*u)*(1 - 1 - 1)*(0 - 4 + 5).\nAnswer: 53*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 165 minutes after 5:33 PM?\nAnswer: 8:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -20 + 25.6. Let c = h - 5.599999488. What is c rounded to 7 dps?\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -21703.8979 to the nearest 100000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 0 or 9\/260?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Round 683000 to the nearest one hundred thousand.\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Round -624.240929 to the nearest 10.\nAnswer: -620","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve 29 = 14*a - 55 for a.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 508 minutes before 11:30 AM?\nAnswer: 3:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let m(t) be the first derivative of t**4\/4 - t**3 - 3*t**2\/2 - 2*t + 2. Let n be m(4). Suppose -2*u - n*g + 112 = 0, 4*g = 5*g - 1. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 13707\/6*(-24486)\/(-57) - 2\/19 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 44 minutes before 7:25 AM?\nAnswer: 6:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1210*c - 2426 = 4834 for c.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 163 a factor of 163?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-68)\/60 + (16\/8)\/2.\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (3*(sqrt(187) - (-2*sqrt(187) - sqrt(187))))\/((1*sqrt(77) + sqrt(77))\/sqrt(7)).\nAnswer: 6*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*o = 325*v - 322*v - 22, -4*v + 21 = 5*o for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let c(g) = -6*g**2 - 90*g + 10. Let o(q) = q**2 + 18*q - 2. Let z(h) = -2*c(h) - 11*o(h). Let y be z(18). What is j in -5 - y*j - 1\/5*j**2 = 0?\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1902570200 rounded to the nearest one million?\nAnswer: -1903000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 33609816 or 33609815?\nAnswer: 33609815","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 37664, 70301, 158892, 331415, 615848, 1040169, 1632356?\nAnswer: 2420387","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 15 and 3?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 117627.1 times -1.65?\nAnswer: -194084.715","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 15 - (-2 + 2\/(-1)) a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(t) = -2*t**2 - 49*t + 27. Calculate the lowest common multiple of 25 and g(-25).\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(a) = a**2 + 3*a - 21. Calculate v(3).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of -38266003, -76532000, -114797997?\n\"Answer: -38265997*y - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 13034280 is divided by 803.\nAnswer: 787","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((s\/(s**4\/s))**22)**(-3\/20)\/(((s\/(s\/(s\/(s\/(s**(-9)*s*s)))*s*s*s)*s)\/s)\/(s\/s**9)*(s**(-2\/3))**(5\/6)) assuming s is positive.\nAnswer: s**(412\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 3613 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1018*u + 1027*u + 1019*u - 3074*u.\nAnswer: -10*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let b(z) = -3*z. Let w(l) = -47*l**2 + 2*l - 5660. Determine b(w(h)).\nAnswer: 141*h**2 - 6*h + 16980","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: How many nanoseconds are there in 11\/2 of a microsecond?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -12 + 10. Let k be (s - -3) + (-75)\/5. Let a = -17 - k. Let x(r) = -2*r**3 + 3*r**2 + 3. Let p(w) = -2*w**3 + 2*w**2 + 2. Determine a*p(l) + 2*x(l).\nAnswer: 2*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6 = 4*x + 2, -3*d = -5*x - 13744. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 2\/5  (b) -8  (c) -1  (d) -6  (e) 0.0852\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let i(w) = -3*w. Suppose 0 = f + f + 12. Let q = f - -8. Let k(h) = q*h - 4*h + h. Determine i(k(x)).\nAnswer: 3*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 109393 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let h(x) be the third derivative of -x**5\/75 + x**4\/15 - 2*x**3\/15 - 8*x**2. Find t such that h(t) = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*z + 2 - 4. Let p = -3 + 5. Let r = p + z. What is the units digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 57508 is divided by 18?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 121 + 380 = 3*x. Let n = x + -162. Solve -n = z - 1 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -t + 22907*t**2 - 344 + 3*t - 22911*t**2 as s*t + u*t**2 + w and give s.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence rax when three letters picked without replacement from {p: 3, a: 1, x: 1, r: 1, c: 1}.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let v be -6*(2\/12 + (-219)\/18). Calculate the highest common divisor of 1278 and v.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 268 and 18358?\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 1802713471 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3*((sqrt(1088) + 1)*1)**2.\nAnswer: 48*sqrt(17) + 3267","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 81227 divided by -27.\nAnswer: -81227\/27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: (-127)\/127*(-2)\/2\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Sort 8392, 5, 0.3, 2\/5, -0.2 in decreasing order.\nAnswer: 8392, 5, 2\/5, 0.3, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from qrrr. What is prob of picking 3 r?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of 154, 156, 158, 160?\n\"Answer: 2*p + 152","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 13 times 7937.29?\nAnswer: 103184.77","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 3081\/33271 + -5\/1358. Calculate the common denominator of -73\/20 and v.\nAnswer: 6860","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 723*h**4 + h - 1417*h**4 - 4*h**2 + 720*h**4 + 2 - 2*h**3 to the form g*h + l*h**3 + p*h**4 + v + k*h**2 and give p.\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Round 7388.526 to the nearest ten.\nAnswer: 7390","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {s: 1, n: 1, w: 2, f: 2, t: 1}. Give prob of picking 1 w and 1 s.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: 402140 divided by 10\nAnswer: 40214","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -8 - 12 + 2*s - 8 + 27 to the form i*s + j and give j.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3*(((sqrt(448) - (2 + sqrt(448) - sqrt(448) - sqrt(448)) - sqrt(7))*-1*4)**2 + ((sqrt(3500) - (sqrt(3500)*5 + sqrt(3500))) + sqrt(35))\/sqrt(5) + -4).\nAnswer: -3027*sqrt(7) + 75780","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {l: 14, x: 4}. Give prob of picking 2 l and 1 x.\nAnswer: 91\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-3)\/((-147)\/(-56))*2632\/(-846).\nAnswer: 32\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in 6.037373 decades?\nAnswer: 724.48476","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: -18970044 divided by 3\nAnswer: -6323348","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: 6*5\/30*(-4)\/(-8) + 7425\/(-2376)\nAnswer: -21\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*i + 511 + 169 = 5*v, 0 = 2*v + 5*i - 244. What is the lowest common multiple of 583 and v?\nAnswer: 6996","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -510, -3830, -9400, -17250, -27410, -39910?\nAnswer: -54780","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-28)\/45080*28*-92.\nAnswer: 8\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 1144489.103 + 0.2.\nAnswer: 1144489.303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Does 203 divide -3*1\/(-2)*3318\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"}
{"text":"Question: Let n = 5723\/8 - 714. Let x = -53\/56 + n. Let h = -4 - 1. Which is the smallest value?  (a) x  (b) h  (c) 4\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {l: 8, z: 3, s: 6}. Give prob of picking 1 l and 3 s.\nAnswer: 8\/119","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {o: 2, g: 1, y: 12, z: 2, e: 2, l: 1}. What is prob of picking 1 z and 1 e?\nAnswer: 2\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -118\/3465 and -4\/77.\nAnswer: 3465","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let g(r) = r**3 + 2*r**2 + r - 2. Let i be g(-2). Let w = -20844.9 - -20844.8. Let m(b) = -b**2 + 4. Let n be m(0). Sort n, 0, w, i in decreasing order.\nAnswer: n, 0, w, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 1408 by 352.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 256 - 474. Let i = d - -248. Calculate the lowest common multiple of 15 and i.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 3080305.\nAnswer: 5, 43, 14327","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let t(d) = 62*d - 335. What are the prime factors of t(20)?\nAnswer: 5, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 6 + -2. Suppose -k = -0*k + g. Let j = 6 + k. Solve -5*x + 26 = -j*h, 5*x = 5*h + 10 + 25 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 1\/(((-1632)\/48)\/782)\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -7018 - -7000. Sort -8, m, -5, 2 in ascending order.\nAnswer: m, -8, -5, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (2\/5)\/((-6)\/(-60)). Suppose x**3 - x**l + x**2 - x**2 - 2*x + x + x**2 = 0. Calculate x.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 5235 - 5199. Solve -2*s + f = -11*s for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 - a - 1)*(137*a + 293*a + 28*a).\nAnswer: -458*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -6*((sqrt(2448) + 1 + 5 + 5)*-6)**2.\nAnswer: -554904 - 57024*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 a and 3 q when four letters picked without replacement from {q: 8, a: 5}?\nAnswer: 56\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 93 - (12\/(-4) - 1) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1201 a factor of 13865545?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve -216*u - 444 = -438*u for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Express (-3 + 2*t + 3)*((2 - 2 + 1)*(-5*t + 4*t + 7*t) - t - t + 3*t + (2 + 2 - 5)*(-2*t + 0*t + 3*t) - 2*t + 3*t + t) as u + p*t + r*t**2 and give r.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is fifty-eight thirds of a minute in seconds?\nAnswer: 1160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1, -3, 48, 2, 11.\nAnswer: -3, 1, 2, 11, 48","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*h = -7*h + 9, -3 = -b + 3*h. What is the remainder when b is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 64*q - 744 = -28*q + 820 for q.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Convert -6a9aa (base 13) to base 12.\nAnswer: -94a19","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -21fbb + -71?\nAnswer: -2202c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -14 + 29. Let d be (-28)\/3*249\/(-332). Solve -3*h = 3*n + k, -n - d = -3*h - 2 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find j such that 12*j**3 + 237179*j**2 - 731413*j + 59304 = 0.\nAnswer: -19768, 1\/12, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -2 + 3.4. Let p = -1.2 + n. What is the second biggest value in p, 3\/4, 4\/7, -4?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 7 a factor of 367730629?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: -20 + (18 - 5) - -5\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -870*g + 45330 = -3892*g for g.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Sort 5, -3, -2, 1.\nAnswer: -3, -2, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 222*w**2 + 68*w + 297*w - 67*w - 25*w wrt w.\nAnswer: 444","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -236, -4, 20222 in increasing order.\nAnswer: -236, -4, 20222","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -300 - -301. Put y, -2\/11, 4 in decreasing order.\nAnswer: 4, y, -2\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(r) be the first derivative of 0*r**3 - 88 - 11\/2*r**2 - 1\/5*r**5 + 0*r**4 + 0*r + 5\/2*r**6. Find the second derivative of t(p) wrt p.\nAnswer: 300*p**3 - 12*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -5*t + 2*n + 25, 0 = 2*t + 5*n - 0 - 10 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -2\/3 in -4, -3\/7, 19633\/185?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let x(g) be the third derivative of g**6\/180 + 13*g**5\/15 - 53*g**4\/12 + 80*g**3\/9 - 140*g**2 + 4*g. Solve x(y) = 0 for y.\nAnswer: -80, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(g) = -320*g**3 - 2905*g**2 + 4280*g - 795. Let z(y) = 29*y**3 + 264*y**2 - 389*y + 72. Let v(w) = 6*k(w) + 65*z(w). Find b, given that v(b) = 0.\nAnswer: -9, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*u = 3*p - 97317, -4*u - 5*p = -100323 + 3000. What are the prime factors of u?\nAnswer: 3, 17, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 27696048 or -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Put -1, 5, -5, 4, 48 in descending order.\nAnswer: 48, 5, 4, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*v = 377*n - 372*n + 2, -4*v - 2*n + 16 = 0 for v.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 315\/14*(0 - 4\/(-6))?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from wuurpdf. Give prob of sequence fuur.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 1018410347 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 2469339958 a multiple of 772?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((f*f**(-2\/5))\/f)**14\/((f*f**9\/f)\/(f**(-7)\/f)))**(48\/5) assuming f is positive.\nAnswer: f**(-5424\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"}
{"text":"Question: What is 11 take away 468937396.61906?\nAnswer: -468937385.61906","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 13 + -47 + -27 + 28?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let c(p) = -p**3 + 3*p**2 + 18*p - 11. Let i be c(6). Let m be (-3 - 3) + 724*i. What is m rounded to the nearest one thousand?\nAnswer: -8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(132)\/sqrt(108) + -3*sqrt(33)\/sqrt(3) - (sqrt(1584) + -1 + sqrt(1584) - (sqrt(1100) + -1)))**2.\nAnswer: 27500\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Factor -r**3 + 6146*r**2 - 485199*r - 491346.\nAnswer: -(r - 6066)*(r - 81)*(r + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 5  (b) 1\/4  (c) 6  (d) -5  (e) 0.2  (f) 277\/4\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*b = 14 + 10. Suppose 5*m - b = 2*m. Solve -3*k = -7 - m for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.1, -5, 0.4, 6.\nAnswer: -5, -0.1, 0.4, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-5)\/20 + (-50)\/(-8). Suppose 0 = -12*j + 9*j + k. Suppose -j*i + 4 + 69 = 3*d, 0 = i - d - 24. What is the units digit of i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is five eighths of a gram in milligrams?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let j(k) = 15*k**4 - 49. Let g(z) = -45*z**4 + 146. Let w(q) = -6*g(q) - 17*j(q). What is the derivative of w(b) wrt b?\nAnswer: 60*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -6*(65441\/(-6) - 4) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 3317\/15 - 221. Let w(u) = u**3 - u**2 - u - 1. Let q be w(0). Let p be (0 + 2\/q)\/9. Which is the second biggest value?  (a) 0.2  (b) p  (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3464491 at least 3464491?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 0.2 - 0.2. Let g = 0 - r. Put -1\/2, g, 2\/11 in ascending order.\nAnswer: -1\/2, g, 2\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between -348927222 and -36?\nAnswer: 348927186","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -182*u + 179*u + 6 = 0. Solve u = -f - 2, 0 = -l - 5*f - 16 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(r) = -2*r**3 + 39*r**2 + 7559*r + 79. Calculate k(72).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -1 + 0. Let x = -0.436 - -0.48. Let t = 0.056 + x. Which is the smallest value?  (a) -2\/9  (b) h  (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*b - 568 = 2*f, 0 = 2*b + 3*b - 5*f - 720. Does 16 divide (-40)\/b + (-228)\/(-14)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -284 - -190. Let o = v + 210. Suppose -11*z + 13*z = o. What is the remainder when z is divided by 21?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 50831 to the power of 1\/4, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*y**3 - 42*y**2 + 153*y.\nAnswer: -3*y*(y - 3)*(y + 17)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of 34, 152, 348, 622?\n\"Answer: 39*r**2 + r - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -7 - -10. Suppose 0 = 3*u + 3, 3*t - h*u + u - 80 = 0. What is the tens digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 9201722?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve 246*o + 235*o - 461*o + 140 = 0 for o.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 1.3 - 1.4. Let u = 209 - 206. Suppose 5*d + 96 = -u*f + 3*d, -4*f + 4*d - 128 = 0. Is f >= n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(r) = 0*r + r - 2*r + 1 - 4. Let f be t(-5). Let g = f - -3. Solve 0 = v + g*m - 8, m + m - 2 = -v for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*d - 2*d - 2*b + 170 = 0, -3*d + 3*b = -150. Suppose 0*t - 5*x = 4*t - d, -2*t - 5*x = -15. What is the lowest common multiple of 30 and t?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (277 - 1740 - 65)*(-2*g**2 + 0*g**2 - 2*g**2) to u*g**2 + p + l*g and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is -7 divided by 915?\nAnswer: -7\/915","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in j**3 + 83*j**2 - 83*j**2 + 52.\nAnswer: j**3 + 52","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1999 is divided by 661.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 3*i - 4*w - 4 + 8, 0 = -5*i + 4*w - 4 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {z: 14, f: 1}. What is prob of sequence zzzf?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -1.686 and 554.\nAnswer: -934.044","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let w(s) = 9*s + 6. Let u(p) be the third derivative of 0 + 0*p - 8*p**2 + 1\/6*p**3. Let t(m) = -5*u(m) + w(m). Differentiate t(z) with respect to z.\nAnswer: 9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 40286363?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -0.3 and -20648179.9?\nAnswer: 6194453.97","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.6628112ug to nanograms.\nAnswer: 662.8112","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2 = 5*m - 8. Let c = m - 0. Suppose 35 = c*j + 15. What are the prime factors of j?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 747507428*x**5 + 5820*x**2 - 34883*x wrt x?\nAnswer: 44850445680*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1*sqrt(637) - (sqrt(1872) + 0 - sqrt(13)))**2.\nAnswer: 4212","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-26)\/(-39) - (-14)\/(-21). Which is the closest to -1?  (a) 4  (b) -2\/3  (c) 2  (d) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"}
{"text":"Question: Let g = 158\/319 - -12\/29. Let c = g + -195\/154. Calculate the common denominator of 2 - ((-67)\/18 - 1) and c.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(t) = -10*t**3 - 6*t**2 + 6*t. Let v = -21 + 27. Let j(n) = n**3 + n**2 - n. Determine v*j(i) + w(i).\nAnswer: -4*i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: 6 - -3 - (-4 - -13)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let g(y) = -2*y**3 - 2*y - 1. Let w be g(-1). Suppose 19 = -b + 3*t, -2*b = w*b + 2*t + 78. Let f = 24 - b. Does 33 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(h) = -h**2 + 9*h + 12. Suppose -4*j = -5*v - 60, 2*j - 22 - 2 = v. Let r be a(j). Solve 5*g = r - 7 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 60 = -4*w - 2*o, 8*o - 10 = 2*w + 4*o. Sort 4, w, 5.\nAnswer: w, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((w**(5\/4)*w)\/(w\/w**4))**(-2\/15))**(3\/2) assuming w is positive.\nAnswer: w**(-21\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 42778899 to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let q(n) = -1 + n**2 - 2 + 8*n + 4*n. Let b be q(-12). Let a(s) = -s**2 - 3*s + 3. What is a(b)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 3340, 6680, 10020, 13360, 16700, 20040?\nAnswer: 23380","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 3641388.964 rounded to the nearest 1000?\nAnswer: 3641000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 402?\nAnswer: 2, 3, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 1867 a factor of 299422640?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between 87499 and -0.1?\nAnswer: 87499.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve -i + 28 - 24 = 0, 4*z = 2*i - 20 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let a(r) = 6*r**2 - 10*r + 12. Let f(g) = g + 2. Give -a(q) + 6*f(q).\nAnswer: -6*q**2 + 16*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Expand (86 + 338 + 4)*(-4*n + 4*n - 5*n).\nAnswer: -2140*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -124.6 + 125. Let k = -2491\/4 + 622. Which is the closest to 1\/2?  (a) -4  (b) n  (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(d) = 11*d - 8. Let u be q(3). Solve 0*t + 4*x = -t - 22, 5*x + u = 0 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*l - 4*o - 36 = -6*l, -7*o + 2*o + 174516 = 5*l + 174511 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 88 minutes before 4:59 PM?\nAnswer: 3:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*u = -2*u + 12. Let d(h) = 2*h**2 + h - 1. Let y(v) = -62*v - 3*v**2 + 6*v**2 + 0*v**2 + 95*v - 1 - 31*v. Determine u*y(b) + 4*d(b).\nAnswer: -b**2 - 2*b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 3058 is divided by 3058.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of -1, 2, 11, 26?\n\"Answer: 3*x**2 - 6*x + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let o(c) = -2*c**2 - 5*c + 14. Let j be o(-4). Suppose j*i - 869 = 355. What is the tens digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(g) = -g**3 - 33*g**2 + 30*g - 54. Let w be a(-34). Solve -3*x + 73 - w = 0 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Do 6 and 111.78 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: -16 (base 9) to base 14\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 2142117?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (9 + -8)\/((-1)\/(-1))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(h) be the second derivative of 7*h**5\/5 - h**3\/3 + h**2\/2 - 3*h. Let t be l(1). What is the highest common factor of t and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 17 a factor of 6\/(-36)*-91230 + (-1)\/3*0?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -4 + 14. Suppose -3*v = -523 + 421. What is the remainder when v is divided by o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-72)\/(-34) - (2 + (-2 - -2))?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 388450 divided by -76.\nAnswer: -194225\/38","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {o: 1, r: 1, u: 2, p: 1}. What is prob of picking 1 o, 2 u, and 1 p?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (12*(-21)\/42)\/21?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.2?  (a) -0.3  (b) 1\/4  (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of -6190, -6191, -6192, -6193, -6194, -6195?\n\"Answer: -q - 6189","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -1.5311 + 71.7261. Round j to 1 decimal place.\nAnswer: 70.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: 7 + (-4 - 0) + (52 - 54)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of 2136, 4279, 6424, 8571, 10720, 12871?\n\"Answer: h**2 + 2140*h - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let a be ((-8302)\/(-35))\/((-6)\/(-15)). Let g = -347 + a. What are the prime factors of g?\nAnswer: 2, 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 0.21 - 0.20999965. Round p to 7 decimal places.\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(o) = 50*o**2 + 21*o + 23. Calculate the remainder when 259 is divided by l(-1).\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -163 + 1606 + 12001*y**2 + 4*y**3 + 1065 - 12829*y**2 - 1684*y.\nAnswer: 4*(y - 209)*(y - 1)*(y + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is ((-343836)\/252)\/((-1)\/7) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (0 + 2)*(-1)\/(-10).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(f) be the first derivative of 23\/3*f**3 + 47 + f - 3\/2*f**2. What is the second derivative of m(h) wrt h?\nAnswer: 46","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*h - 3*h + 20 = 0. Suppose 0 = -0*j - 5*j + 115. Suppose h*y + j = 3. Which is the second biggest value?  (a) -3  (b) 2\/5  (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 816.611 + -817. Round u to 2 decimal places.\nAnswer: -0.39","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*t + 59 = -f, -f - 187 - 196 = 21*t for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: How many litres are there in 262528.8 millilitres?\nAnswer: 262.5288","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let l(w) = 7*w - 10. Let g(o) = 6*o - 9. Let j(a) = 6*g(a) - 5*l(a). Let p be j(6). Solve -3*v - p*v + 15 = 0 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*x = 10*x - 805. 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 the next term in 92, 186, 280, 374?\nAnswer: 468","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 341544373?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Convert -175780 (base 9) to base 15.\nAnswer: -22590","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 4192306 to the power of 1\/3, to the nearest integer?\nAnswer: 161","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4\/5*i + 3\/5 + 1\/5*i**2 = 0 for i.\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(1872) + 1)**2 + 4 + (sqrt(1872)*-1 + 4)**2.\nAnswer: -72*sqrt(13) + 3765","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 46*c**3*h + 2*c**3 + 873*c**2*h - 112*c**2 - 175*c + 2*h - 5 with respect to h.\nAnswer: 46*c**3 + 873*c**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2*b**2 - 634*b + 0*b**2 - 778*b.\nAnswer: -2*b**2 - 1412*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*q + 103 = 87 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -115*m = m + 94*m + 39*m + 17679 for m.\nAnswer: -71","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -44083.07 + 44083. Which is the smallest value?  (a) -5  (b) 7  (c) -8  (d) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(l) = 18*l**2 + 141*l - 26. What is i(-8)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*k**2\/11 + 650*k\/11 + 648\/11.\nAnswer: 2*(k + 1)*(k + 324)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let j(m) = m**3 + 6*m**2 + 11*m + 26. Determine j(-5).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2508345 is divided by 472?\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 6574 divided by -6574?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the billions digit of 2389011960?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let i be ((-310)\/(-1395))\/((-15)\/(-9)*6\/(-15)). Which is the third biggest value?  (a) -2.2  (b) i  (c) 93\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((t*t**(-7\/4)\/t)**(-31)*(((t**(-21)*t*t)\/t*t)\/t)\/((t**(8\/3)*t*t)\/t))**(-2\/9) assuming t is positive.\nAnswer: t**(-367\/54)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -84 - -80. What is the units digit of w\/(-20) + 1636\/20?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-27)\/(-12) + (-15)\/(-20)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 15 and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 65 - -5. Let l = 74 - k. Let u be 1\/(-3) - (-7)\/3. Solve 2*a = 2*t - u - l, -5*t - 15 = a for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be -20*(4\/(-3) - 69\/9). Suppose 9*v - k = -3*v. Solve p = -4*x + 15, -x + v = -0*x - 2*p for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 0 < 62\/53137?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2, 4, 24, -7 in ascending order.\nAnswer: -7, 2, 4, 24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let l(q) = -q**3 + 4*q**2 + 43*q + 102. Give l(10).\nAnswer: -68","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of 67, 110, 149, 178, 191?\n\"Answer: -d**3 + 4*d**2 + 38*d + 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Sort 4176, -0.4, -1927, 0.3 in decreasing order.\nAnswer: 4176, 0.3, -0.4, -1927","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: -1 + 0 - (5 - (3 - 0))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let n(f) = -14*f**2. Let u be ((-2)\/8 - 0)\/(30\/(-120)). Let s be 2 - 0*u\/(-4). Let m(r) = -152*r + 2*r**s - 157*r + 309*r. Give n(m(w)).\nAnswer: -56*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"}
{"text":"Question: Round -0.013 to 3 dps.\nAnswer: -0.013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 140 is divided by (693\/84)\/(1\/8).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:28 AM and 8:33 AM?\nAnswer: 185","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 676989?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 36 and 5099.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 12 - -505?\nAnswer: 520","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let g(x) = -29*x**2 + 291*x + 1. Let v be g(10). What is the greatest common factor of v and 9251?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(m) = 32*m - 5. Suppose 5*j = -7*j - 24. Let n(c) = -16*c + 2. Let r(o) = j*u(o) - 5*n(o). Let y(f) = -5*f**2. Calculate y(r(l)).\nAnswer: -1280*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.06?  (a) -0.2  (b) -2  (c) 23  (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 4400*r + 4269*r + 13383 - 204101 for r.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let q(h) = h**3 - 2*h**2 - 20*h + 4663. What is the units digit of q(0)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -4955 + 8324. Let w = p + -1732. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2401 is divided by 478.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let g(v) = 608*v - 26800. Give g(44).\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 3\/2?  (a) 1\/13  (b) -7  (c) -3\/5290\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 19655811 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 n when two letters picked without replacement from okpnnsoposskpsss.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Divide -2868 by 7.\nAnswer: -2868\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: How many tonnes are there in 86421.59kg?\nAnswer: 86.42159","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (f\/(f\/f**3*f))\/(f*f\/f**(-1\/20))*(f**20)**(-45) assuming f is positive.\nAnswer: f**(-18001\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (o\/o**(-2\/15)*o*o**0\/o)\/((o*o*o**(-5\/8))\/((o*(((o\/o**(-2\/5))\/o)\/o*o)\/o)\/o)) assuming o is positive.\nAnswer: o**(-101\/120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -15 - -20 - ((32 - 7) + -7).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of (309\/4*50\/(-75))\/(-6) and -77\/93.\nAnswer: 372","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:01 PM and 10:30 PM?\nAnswer: 209","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 2999832 and 8?\nAnswer: 2999832","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Put 8, -1, 169807, 5 in decreasing order.\nAnswer: 169807, 8, 5, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:30 AM and 8:58 PM?\nAnswer: 628","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -6\/7?  (a) 33\/7  (b) 37  (c) -1\/3  (d) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 47\/4062 and -43\/6?\nAnswer: 4062","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Express (-f**2 - 2*f**2 + 4*f**2)*(-f + 11*f - 7*f)*(-3*f + 19*f - 19*f + 53)*(6 - 2 - 2) in the form y*f**4 + g*f**3 + q*f**2 + z*f + p and give y.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Round -2429728.6 to the nearest one thousand.\nAnswer: -2430000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 0 - -5. Let j = -64\/31 + 258\/155. Put j, m, 4 in ascending order.\nAnswer: j, 4, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 75 (base 10) to base 15.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*q + 0*q + 9 = 0. Let z be q\/((-3)\/3 + 0). Suppose 0 = -3*s - z*d + 165, d - 5 = 6*d. Calculate the highest common factor of 7 and s.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(r) = r**3 - 8*r**2 + 632*r - 5006. Determine b(8).\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let k(j) = -9*j. Let p(q) = -10*q**2. Give k(p(z)).\nAnswer: 90*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let q(w) = w**2 + 4*w. Let c be q(-4). Let d be 2\/(-8)*c\/(-8). Solve 3*p + 9 - 3 = d for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 56\/38133 and 41\/12774.\nAnswer: 162370314","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: How many decades are there in twenty-nine fifths of a century?\nAnswer: 58","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Divide 6946 by 46.\nAnswer: 151","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -16*q = 53 + 75. Let p be (-14)\/q - 1\/((-2)\/(-3)). Which is the closest to 0?  (a) 0.02  (b) p  (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 48*h**4 + 153*h**3 + h + 190449 wrt h?\nAnswer: 192*h**3 + 459*h**2 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Are -11 and -5 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 0.0623 - -0.1377. Suppose 0 = 5*h + 9*h - 336. What is the nearest to j in -0.4, 1\/5, h?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from zzzzzzzzzdzzz. Give prob of sequence zz.\nAnswer: 11\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -8  (b) 5  (c) -0.13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {w: 3, r: 3, j: 1, k: 7}. Give prob of picking 2 k and 1 w.\nAnswer: 9\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 844 - 845. Let q be (-20)\/75 - (-2)\/(-5). Sort -0.2, 7, q, s.\nAnswer: s, q, -0.2, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3, -2, -4, 2, 4 in descending order.\nAnswer: 4, 3, 2, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Express (8*h + 7*h - 18*h)*(832 + 1001 - 1403) - h + h - 2*h + (3 + 1 - 2)*(-3 + 3 - h) as v + u*h and give u.\nAnswer: -1294","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -37000 divided by 40.\nAnswer: -925","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*q = -4*r - 5 - 22, r + 2*q + 4 = 0. Let k(d) = d. Let v(i) = -4*i - 2. What is r*k(t) - v(t)?\nAnswer: -2*t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*c - 8 + 17 = 0. Let y be (11\/c + 4)*30. Let s(d) = 3*d**2 - 21*d + 2. Is 8 a factor of s(y)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(k) = k**3 - 11*k**2 + 9*k + 14. Let y be b(10). Suppose -a + 1 = y. Is ((-30)\/4)\/(a\/18) a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 2 (base 4) to base 14.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 10768746 is divided by 7714.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3, -10296, -4 in descending order.\nAnswer: 3, -4, -10296","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*j**4 - 60*j**3 - 474*j**2 - 1064*j.\nAnswer: -2*j*(j + 4)*(j + 7)*(j + 19)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.118766 rounded to four decimal places?\nAnswer: -0.1188","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 2185.15 - 2325. What is t rounded to the nearest 10?\nAnswer: -140","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -2\/7 in 1, -2\/15, 0.02, -1, -16668, 42?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is q in -3*q**2\/4 + 21*q\/2 - 18 = 0?\nAnswer: 2, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence nnw when three letters picked without replacement from nwwwnnnwnnww?\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let d(r) = -r**2 - 5*r + 16. Let w be d(-7). Let p(f) = -f + 2. Let k(b) = -4*b + 9. Let m(h) = w*k(h) - 9*p(h). Let x(t) = -38*t. Determine x(m(a)).\nAnswer: -38*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -f**3*w**4 - 2*f**3*w**2 - 2*f**2*p*w**2 + f**2*w**2 - f*p*w**4 - 160*f*p*w**2 + f + 97*p*w**3 wrt w.\nAnswer: -24*f**3*w - 24*f*p*w + 582*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 5844677169?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: (3 - 27\/6)\/3 - 3\nAnswer: -7\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5 + sqrt(17) + (sqrt(102)*2)\/sqrt(6).\nAnswer: 5 + 3*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 524 minutes after 12:02 PM?\nAnswer: 8:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Put -1, 3, 1, 55, -12 in descending order.\nAnswer: 55, 3, 1, -1, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 31 - 29. Suppose u - 2265 = -5*o, 2 - 12 = r*u. Suppose 3*y = 2*n + 3*n + 679, o = 2*y - 4*n. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 0.3566 - 0.5566. What is the closest to -1 in 0.1, c, 2\/9, -3?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 599 + -260. Is c a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 26161211 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: -18100*-0.005\nAnswer: 90.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose o + 2*o = 3. What is the units digit of o + -8 + 4 + 1 + 31?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 252\/5 - 1559\/35. What is the common denominator of b and -12\/35?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*c - 2*r = -2318, 13*c = 12*c - 2*r + 572. Let l = -265 + c. What is the tens digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -8 - (-4698)\/492 - 3*11\/(-374)*-17?\nAnswer: 2\/41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.4 times -223?\nAnswer: -89.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 85\/14 and 101\/741808.\nAnswer: 5192656","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let n(c) be the second derivative of 179999*c**3\/6 + 5*c**2\/2 - c. Let j be (2\/(-3))\/((-2)\/15). Let u be n(j). What is u rounded to the nearest 1000000?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 482 - 960 + 1711*a**2 + 480 + (-5*a + 3*a + 0*a)*(4*a - 2*a - a) + 3*a**2 + 0*a**2 - 2*a**2 - a**2 + 4*a**2 - a**2 to n*a**2 + l + v*a and give n.\nAnswer: 1712","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 2 + -a149499?\nAnswer: -a149497","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 480702923 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*h + 4095 = 3*w, -w + 6*w = -4*h + 6825. Round w to the nearest one hundred.\nAnswer: 1400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 25 = 5*j - 0*j. Let r be 210\/490 - (-1 + 36\/(-14)). Solve -2 = -j*z - 2*k - 0, 3*z + r*k = 4 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(m) = 5*m**3 + 29*m**2 - 77*m - 495. Give x(-5).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (51*(-39)\/663)\/((-471)\/2)?\nAnswer: 2\/157","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let u(z) = 32*z + 216. Let o be u(-6). Let n be 10\/2*(-2)\/(-2). Suppose -n*s - 9 + o = 0. Which is the smallest value?  (a) -14  (b) -0.4  (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1\/5?  (a) -40  (b) -5  (c) 3\/8  (d) 262\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let w**3\/6 + w**2 + 2*w + 4\/3 = 0. What is w?\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Expand m**3 - 3 + 3 + (3*m**3 + 2*m**3 + 2*m**3)*(2 + 1 - 2).\nAnswer: 8*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(4)\/sqrt(2)*-5)**2 + sqrt(40)\/sqrt(5) + sqrt(8) + -5.\nAnswer: 4*sqrt(2) + 45","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Put 2\/7, 21, 2\/25 in ascending order.\nAnswer: 2\/25, 2\/7, 21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Does 136181 = 136097?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 9456, 18275, 26458, 34005?\nAnswer: 40916","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let p be ((-3)\/9)\/((-2)\/18). Let f be 3 - (p - (-8)\/(-2)). Suppose -a = -f*a + 24. Solve 2 + a = 2*w for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 669, -0.3, -2\/7, 2, 1\/5, -5\/3?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -18*o = -23*o + 30. Solve -o = 4*c - 7*c for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 46440 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1604524?\nAnswer: 2, 367, 1093","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-2)\/(-1) + (-15)\/(-1). Suppose 73*g - 240 = 198. Let q(v) = -8*v**2 + 3*v - 1. Let f(h) = 23*h**2 - 8*h + 3. What is g*f(t) + l*q(t)?\nAnswer: 2*t**2 + 3*t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: -113 - ((-49354060)\/(-2450))\/(-178)\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -60*1\/(-1)*(17\/51)\/1?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let f(k) = k - 1. Let b(x) = 7*x + 11. Let s = 27351 + -27395. What is s*f(a) - 4*b(a)?\nAnswer: -72*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of -2, 22, 62, 118, 190?\n\"Answer: 8*b**2 - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*i**3\/5 + 52863*i**2\/5 + 1217436*i\/5.\nAnswer: -3*i*(i - 17644)*(i + 23)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 598*p**5 + 2*p**4 - 6880*p**3 - 299847962*p**2?\nAnswer: 35880*p**2 + 48*p - 41280","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 1 or -1\/238?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let t(l) = -4067*l + 118. Let j be t(-6). Suppose -7*a + j = a. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 250 is divided by 242.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let v(h) = -7*h - 49. What is v(16)?\nAnswer: -161","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of -193, -204, -215, -226?\n\"Answer: -11*o - 182","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let j(r) = 2*r**3 + 18*r**2 - 8*r + 111. Give j(-10).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*a = -10*a. Let d(z) = z**3 + z**2 + z - 2. Let r be d(a). Which is smaller: r or -6\/5?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(a) = -5*a + 4*a + 2*a. Let d be p(6). Let f = 4 + d. List the prime factors of f.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -529466*i**2 - 442041*i**2 + 0*i + 0*i.\nAnswer: -971507*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 11395?\nAnswer: 5, 43, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 64 + -7. What is the second biggest value in 0.1, 3\/5, r?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(h) be the third derivative of -2*h**7\/21 - 7*h**3\/2 - 33*h**2. What is the first derivative of z(t) wrt t?\nAnswer: -80*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0.2 + 7276281435\nAnswer: 7276281435.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -22*g - 5 + 4 - 22*g - 19*g + 62*g to the form s + f*g and give f.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose k + 4 = 16 + 28. Let g(t) = t**2 - 6*t - 6. Let f be g(7). What is the remainder when 14*(38\/4 - f) is divided by k?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(i) = -i + 12. Let n be u(9). Suppose 0 = -5*j - 4*m - 0*m - 7436, -j - 1472 = -n*m. Let x be 0 + j\/2 + (-9 - -9). Round x to the nearest one hundred.\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(v) = 3391*v**2 - 8*v - 32. Is z(5) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 394 minutes after 3:39 PM?\nAnswer: 10:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 502466 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2571*c - 2566*c - 5 = -3*m, 5*m = 4*c + 33 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let c(g) be the first derivative of g**3\/3 + g**2\/2 - g - 16. Let l be c(2). Solve w - 5 = -h, -2*h + 4*h - 16 = -l*w for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(7) + sqrt(7) + 2 + 5 + -2*(sqrt(7)*-2 - sqrt(7)) - (5 + 2*sqrt(7) + -4)**2.\nAnswer: -22 + 4*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 163 a factor of 311819?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let 3*p**4 - 60780*p**3 + 410427072*p**2 - 923460749904*p - 1848563694384 = 0. What is p?\nAnswer: -2, 6754","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-90)\/9*((-5)\/(-5))\/2.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {h: 1, q: 2, p: 1, v: 2, a: 1}. Give prob of sequence qva.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 48 a factor of 720?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 2*g**4*l - 4016682*g**3*l + 89351*g**2 + 10*g*l wrt g.\nAnswer: 48*g*l - 24100092*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let t(q) = -5*q. Let j be t(1). Let v = -0.71056 + 0.61056. Which is the nearest to v?  (a) -7  (b) 2\/3  (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 5\/8 of a centimeter in micrometers?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let h(a) be the first derivative of a**5\/30 - a**4\/24 + a**2 - 2. Let w(c) be the second derivative of h(c). Suppose 0 = -12*u - u - 0*u - 13. Determine w(u).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"}
{"text":"Question: Let k(m) = m**3 + 13*m**2 - 17*m + 199. Let y be k(-15). Solve 2*q - 6 = 5*p - 1, -4*p + 8 = -y*q for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*d + 6 = 0, -2*d - 5 = -2*b + d. Let z be b\/(-9) + 0 - (-1770)\/54. Let q be (-10)\/3 - (-11)\/z - -8. Solve -q*p + 20 = 0, 0 = 2*t + t + 5*p - 35 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 52 + 32 = 3*u. What is the tens digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 1226505?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*j - 5*j = -108. Calculate the remainder when 71 is divided by j.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: (86\/87)\/(475\/2850) - (-5 + 11)\nAnswer: -2\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-7*m + 3*m + 2*m)*(-4*m - 4*m + 6*m)*(-11*m**3 - 5 + 5) + (-2*m**5 - 4*m + 4*m)*(0 + 0 + 1) + 3*m**5 + 6*m**5 - 4*m**5 + 843*m - 4*m**5 - 843*m.\nAnswer: -45*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 17.6 - -12.5. Let g = -2.1 + f. Let v = g + -28.078. What is v rounded to two decimal places?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 8609 + -7552.7. Round s to the nearest ten.\nAnswer: 1060","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(c) = c**2 + 32*c - 103. Let q be k(-35). Sort 1, q, 11 in descending order.\nAnswer: 11, q, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {d: 9, g: 4, e: 2, m: 4}. What is prob of sequence mm?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let u(f) = -2*f - 15. Let m be -19 + ((-8)\/(-36) - 50\/(-18)). Let v be u(m). What is the second derivative of 13*q**2 + v*q**2 - 30*q**2 - 9*q + 16*q**3 wrt q?\nAnswer: 96*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:10 AM and 12:23 PM?\nAnswer: 493","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Total of 0.036387 and 626616640.\nAnswer: 626616640.036387","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 + 0 + 0)*(2*u - 2*u + 2*u) + (0 + 0 - 2)*(u + 0*u + u) - 65 + 108 - u - 56.\nAnswer: -7*u - 13","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: -0.2 * 4.9774\nAnswer: -0.99548","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Put -155, -0.1, -77 in descending order.\nAnswer: -0.1, -77, -155","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*g = -7*g + 240. What is the remainder when g is divided by 27?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3707 times 2?\nAnswer: 7414","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*m + 9 = -9. Let v be ((-3)\/1 - m) + 3. Let x be 2\/((-21)\/v - -3). Is x less than -3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -11*g**2*i**3 - 13*g**2*i + 5*g*i + 2*i**5 + 892*i**4 - 22*i**2 + 1 wrt i?\nAnswer: -66*g**2 + 120*i**2 + 21408*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -130 + 230. What is the tens digit of (1 + -76)\/((-30)\/b)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0.09 * -73\nAnswer: -6.57","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let k(v) = -2*v**3 - 2*v**2 + 3*v + 2. Let m be 6\/27 + 40\/(-18). Give k(m).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 46\/(-26)*1\/(-3) - 16\/24.\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(o) = -15*o. Let p(y) = 3*y**2 - 2*y + 2. Let l(j) = 4*j**2 - 3*j + 3. Let i(d) = -2*l(d) + 3*p(d). What is i(g(h))?\nAnswer: 225*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 535859453 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let u(n) = -5*n. Let k(b) = -53*b**2. Determine u(k(c)).\nAnswer: 265*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 18 and 48.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of 1170, 1189, 1210, 1233?\n\"Answer: p**2 + 16*p + 1153","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 15296, 15299, 15302?\nAnswer: 15305","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence dw when two letters picked without replacement from chwds?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: -0.15 times 587802\nAnswer: -88170.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 257.067 + -0.067. Let p = -256.47 + h. Let g be 2*1\/5*-1. Sort -0.2, g, p.\nAnswer: g, -0.2, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(b) = -b. Let p be l(0). Suppose 29 = -2*d - 5*h, 2*d + h + p*h = -9. Let s = d - -6. What is the units digit of s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -97, -92, -87, -82, -77, -72?\nAnswer: -67","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -43 + 59. Let n = 12 + -5. Calculate the smallest common multiple of 1 and 20\/n*56\/p.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 567, 1476, 2759, 4416, 6447, 8852?\nAnswer: 11631","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -j + 18 = -57. Is j a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(p) be the first derivative of -p**4\/4 + 10*p**3\/3 - 4*p**2 - 21*p - 2. Let u be v(9). Put u, 5, 2 in descending order.\nAnswer: 5, 2, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-20)\/16*((-7560)\/450)\/21?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 2 + 6 + -2 + -41 + 34.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let m(b) = 4*b**3 + 2*b**2 + 20*b - 14. Let g(v) = -v**3 - v**2 - v + 1. Let w be (7\/(-14) - 2\/4)*-6. Let j = 38 - 37. Let a(n) = j*m(n) + w*g(n). Factor a(y).\nAnswer: -2*(y - 1)**2*(y + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -2.75 and -0.1298.\nAnswer: 0.35695","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 9557131 to the power of 1\/3, to the nearest integer?\nAnswer: 212","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Expand 0*c**5 - 3 - 18 + c**5 + (-c + c + 2*c**2)*(3*c**3 + 0*c**3 + 0*c**3) - 4*c**5 - c**5 + 4*c**5 + (-23 + 23 + 8*c)*(-c**3 - c + c)*(-c + 3 - 3).\nAnswer: 14*c**5 - 21","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 181368 and 87219.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 11700 - 11600. Solve -z = -37*j + 11 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(l) = -98*l + 103 + 53*l + 31*l. Let g be c(7). Solve -8*x + 5*x - 1 = -2*u, g*x + 5*u - 15 = 0 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 390796 = 8991*k + 5505*k - 3002*k for k.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 17165 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 104 a factor of 8908643?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: 3.6+147.10777\nAnswer: 150.70777","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Round -15550 to the nearest 1000.\nAnswer: -16000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 84643 and 68?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-2)\/(288\/(-4488)) + -31.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 1\/(-5) + 84\/(-30). Let z be (-8)\/5*90\/36. Are z and k non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (341\/2)\/11 - 25\/(-10). Solve 233*o + c = 235*o for o.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 42*x + 15*x - 81*x + (0 - 1 + 2)*(-x - x + 0*x) + (-2*x + 4*x - 3*x)*(1 - 3 + 3).\nAnswer: -27*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: 3046330 (base 7) to base 16\nAnswer: 590e9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Express 5*g - 2*g - g + (5*g + 6 - 6)*(1 - 3 + 0) as n*g + s and give n.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: -11000 (base 2) to base 16\nAnswer: -18","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.00737 to four decimal places.\nAnswer: 0.0074","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -f + z = -201, -2*z - 802 = -f - 3*f. Is f a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10 = -3*n + 20. Let k(x) = x**3 - 10*x**2 + 20*x + 12. Calculate the remainder when n is divided by k(7).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/50 of a microsecond in nanoseconds?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (49 - 81 + 62)*(-3*v**2 + 191*v**3 - 185*v**3 + 3*v**2).\nAnswer: 180*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 583 - 269. Let n = p + -313.999999389. Round n to seven dps.\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -47833*z**4 + 84699*z**2 wrt z?\nAnswer: -1147992*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 463554093 and 0.4?\nAnswer: 185421637.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1?  (a) -47  (b) -1\/5  (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let j(n) be the second derivative of n**5\/20 - 5*n**4\/6 + 11*n**3\/6 + 3*n**2 - 5*n. What is the remainder when j(9) is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 576 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Express -117*i + 10 - 10 - 37*i as z + a*i and give a.\nAnswer: -154","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 0.2, 1, -2\/3, -0.2, 0.263?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 + 20 = 4*q. Suppose q*o - o = -4. Is o\/(-1*1\/26) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of -34516, -34524, -34532?\n\"Answer: -8*o - 34508","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let w(y) be the first derivative of y**6\/2 + 10*y**5 - 7*y**3\/3 - 153. Find the third derivative of w(q) wrt q.\nAnswer: 180*q**2 + 1200*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (-1)\/3 + (-253)\/(-138). Let g = -20 + 30. What is the biggest value in 0.3, b, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 0.1 + -0.2. Let o = -10349 + 10345. Which is the closest to -1\/2?  (a) 5  (b) o  (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 37 divide 666?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 103795281 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*r - 4*a = 22, 0*r + 2*r + 2*a - 28 = 0. Suppose 0 = -2*t - 0 + 2. Solve 3*i + r = t for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(a) be the first derivative of 13*a**2 + 185*a - 130. Let r be q(-7). Solve 3*u - 29 = -4*w, 0 = -0*u + r*u - 5*w + 16 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1\/4 in -9, 753584, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -170 + 758 = 147*k. Determine w, given that -13\/3*w**k + 2\/3*w - 7\/6*w**5 + 0 - 9\/2*w**3 - 2\/3*w**2 = 0.\nAnswer: -2, -1, 0, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 3 divide 1259984?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -1267 + 1381. What is the remainder when t is divided by 62?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -152 + 262. Calculate the greatest common factor of t and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(z) be the first derivative of -z**3\/3 - 5*z**2\/2 - z + 1. Let h be (-8)\/(-3) - (-1)\/3. Suppose h*f = 2*f - 4. Give m(f).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(w) = 0*w**2 - 2*w**3 - 6 + w**3 - 6*w**2. Let z(h) = -h**2 + 6*h + 6. Let f be z(6). Let k(p) = p**3 + 7*p**2 + 7. Calculate f*k(y) + 7*s(y).\nAnswer: -y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is c - -462?\nAnswer: 470","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Put 3\/5, -2, 2\/3, 0.5 in decreasing order.\nAnswer: 2\/3, 3\/5, 0.5, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 610800 to the nearest integer?\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let s(g) be the third derivative of -g**5\/120 + g**3\/3 - g**2. Let v(q) be the first derivative of s(q). List the prime factors of v(-3).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 9, 15, 23, 33, 45, 59?\nAnswer: 75","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 3 + -2 - (3 + 1)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.077?  (a) -225142  (b) -1  (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 129152 + 4242*w - 129152 to v + k*w and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (l\/((l**0\/l)\/l)*l)**(13\/8)\/(l\/(l**(-2\/3)\/l)*l*l**(1\/4)*l*l)*l**(4\/3)\/((l\/((l\/(l\/l**0))\/l))\/l)*(l*l**1)\/l**(-1) assuming l is positive.\nAnswer: l**(47\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3626 = -7*c + 3759 for c.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 108 - (-42)\/6 - (1 + -2). Let g = s + -101. Solve -g + 5 = 2*u for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 16000 or 15999?\nAnswer: 15999","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 703141?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 25527678 to the nearest integer?\nAnswer: 294","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve 68 = 69*p - 70 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose a = 2*a - 178. Suppose -2*c - 2*r - 12 - 56 = 0, 5*c = -r - a. What is the common denominator of -18\/5 and (12\/(-8))\/((-22)\/c)?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of 474, 3562, 11874, 28032, 54658, 94374?\n\"Answer: 437*h**3 - 10*h**2 + 59*h - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 101799243 to the nearest integer?\nAnswer: 467","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*l - l = -4*u - 137, -173 = -3*l - 5*u. Let a = l + -47. Solve -3*k + a = 1 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 27 in -5, -360, -13?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 197274193 a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-47 - 21 + 9)*(3*w - 2*w + 0*w).\nAnswer: -59*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 132 + -120. Solve -19*w + 21 = -h*w for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*b - 3*b + 60 = 0. Let s = b - 42. Is (-308)\/(-9) + (-4)\/s a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 14358859 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Put 3, -4, -5, 31 in increasing order.\nAnswer: -5, -4, 3, 31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let z(p) = -28*p**3 - 2*p**2 - 4*p - 5. Let q = 1 - 3. What is the hundreds digit of z(q)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 95 and 171.\nAnswer: 855","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 1\/4 of a minute in milliseconds?\nAnswer: 15000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 2 - -8*(4 + (-25)\/6). Let i(y) be the second derivative of 11\/6*y**4 + 0*y**2 + 5\/12*y**6 - 2*y + 0 + 7\/4*y**5 + o*y**3. Solve i(z) = 0.\nAnswer: -2, -2\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*v - 56 = -9*v. Solve 5*f + 5 = v*f for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 0, -3, 3, -129 in descending order.\nAnswer: 3, 0, -3, -129","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -p + 5*x - 50, -x + 3*x - 50 = p. Calculate the remainder when (p\/(-6))\/(4\/24) is divided by 26.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.3 - 170779650666?\nAnswer: -170779650666.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve c - 15 = 5*f, c + 3 - 2 = -3*f for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 71, 73, 69, 53, 19, -39?\nAnswer: -127","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 193 + 2 - (-2 + 1 - 2). Let g = r - -42. Suppose -g = d - 6*d. Calculate the highest common factor of d and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(s) = -5 - 8 + 4*s + 5 + 1. Calculate l(-4).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -9*p**5 - 2*p**4 + 1533642*p**3 + 3533287*p**2 - 65*p - 2.\nAnswer: -540*p**2 - 48*p + 9201852","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 2*s**2*y**2 + 39*s**2 - 2*s*y**2 - s + y**2 wrt s.\nAnswer: 4*y**2 + 78","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 181*f + 163*f = 51*f + 9376 for f.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let m(l) = -l - 4 + 2 + 3. Let t(s) = -s**2 - 3*s + 3. Let k(o) = 24*o + 223. Let i be k(16). Let u = i + -610. Calculate u*m(n) + t(n).\nAnswer: -n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*n + 4*n + 120 = 0. Let o = -10 - n. Is 15\/2 - 5\/o a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 2512908 and 418818?\nAnswer: 2512908","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -2*m**3 - m**2 + 19*m + m**2 - 3*m**3 wrt m.\nAnswer: -30*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(w) = -w**2 - 10388*w + 62374. Give u(6).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let b(a) = -13*a + 20. Let z(t) = -13*t + 21. Let q(u) = -5*b(u) + 6*z(u). Let p be 1\/((-8)\/(-10) - 1). Is 34 a factor of q(p)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(h) = -8*h**2 + 13. Let x(v) = -7*v**2 + 15. Determine -4*d(w) + 5*x(w).\nAnswer: -3*w**2 + 23","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of w**4 + 11034718*w**2 - 7*w + 1400230 wrt w.\nAnswer: 12*w**2 + 22069436","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Expand 3*q + 3*q - 4*q + (-2 + 1 + 0)*(-q - 3*q + 5*q) - q - 3*q + q + (-4 - 1 + 4)*(q + 3*q - 3*q).\nAnswer: -3*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: -942433 (base 11) to base 10\nAnswer: -1511205","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -70 - -276. Let h = 486 - m. What is the highest common divisor of h and 56?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3 + -3 + 32 - (9 - 11 - -2)?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-128)\/(-10))\/(2868\/(-3585)).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 13 - -163. What is the greatest common factor of p and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 6570 and 218270.\nAnswer: 730","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Does 672 divide 12830136?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let t be ((-32)\/(-64))\/(19\/4 - 1). Suppose -2*x + 2*n = 2, -2*x - 5*n - 9 = -0*x. Put t, -1, x in descending order.\nAnswer: t, -1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 1\/28  (b) -0.2  (c) 2413  (d) 2\/3  (e) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*i + 42*w = 37*w - 75, 0 = -5*i - 2*w + 47. Let x(k) = k - 9 - 10 + 4. Give x(i).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*h + 5*l - 124, -h + 4*h - 2*l = 224. Is 9 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0 divided by 233810827\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 189868 to the nearest integer?\nAnswer: 436","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {u: 1, s: 2, t: 2, q: 1, c: 2, p: 1}. Give prob of sequence ttc.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*o = 4*m - 30, -3522348*o - 70 = -12*m - 3522346*o for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: -9 (base 16) to base 3\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let o(t) = 8*t**2 - 2*t - 4. Let p(m) = 412*m + 1235. Let j be p(-3). Give o(j).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*d + 34 = -5*t + 5, 5 = 3*d + t. Suppose 8*m = d*m. Find the second derivative of -3*r**5 + 7*r - 4*r + m*r**5 wrt r.\nAnswer: -60*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*v + 11 = -5*a, 12064*v - 4 = 2*a + 12065*v for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 5*a**3 - 3 - 29 - 4*a**3 to b*a + n + o*a**3 + w*a**2 and give o.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 15840 to the power of 1\/2, to the nearest integer?\nAnswer: 126","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 5 - -130bc23b?\nAnswer: 130bc241","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 u and 1 m when two letters picked without replacement from puusszymzpuu?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -2.2025 + 2.24. What is v rounded to 3 decimal places?\nAnswer: 0.038","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -11441 - 4?\nAnswer: -12000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of 43462, 86915, 130368?\n\"Answer: 43453*d + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -484\/7 + 528\/7. Let k = 169\/28 - d. Let b(j) = j**3 - j**2 - 3*j - 2. Let c be b(-1). Is k smaller than c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: -4 + 0 - (-24 - -24)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 6377219 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 13 - 1. Let t(q) = -15 - 4 + 1 + 157*q - 164*q + 4*q**2. Let g be t(-2). Calculate the highest common divisor of y and g.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*g - 29 = -u, 0 = 2*g + 5*u - 13 - 17 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 7334 and 1218023?\nAnswer: 46284874","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is b - 15?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let j(t) be the first derivative of t**2 + 0 - 2*t**2 + 1. Let i(o) = 680*o + 682*o - 1365*o. What is i(j(h))?\nAnswer: 6*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 646*o + 838 - 838 + 223*o.\nAnswer: 869*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -87.03 - -46.6. Round p to the nearest 10.\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 0.2 - 0.1. Let y = d + 0.4. Let w = 60 - 418\/7. What is the smallest value in y, -1, w?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -4 in 3, -0.71, -0.4, 4, -424?\nAnswer: -0.71","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {n: 2, c: 6}. Give prob of sequence nnc.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 0 or 46\/609?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Convert -303 (base 6) to base 13.\nAnswer: -87","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 22440561.\nAnswer: 3, 11, 13, 17, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 0.8 and 262.501?\nAnswer: 210.0008","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 15 + 0 - (87 + (73 - 117))?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -18 + -39 + 29 - -46?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 31861 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let f(t) = -5*t**2 + 16*t + 2. What is f(4)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (7\/2)\/((-5)\/30). Let d be (4360\/(-3))\/((-7)\/b). Round d to the nearest one thousand.\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 26022 times -38?\nAnswer: -988836","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve -45655 = 363*l + 416*l - 9821 for l.\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let c(z) = -5*z. Let j(d) = 83*d. Calculate j(c(b)).\nAnswer: -415*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 2863?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -4*a - 20, 7*j = 2*j + a + 4 - 19 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 248*r + 245*r - 746*r - r**3 + 253*r.\nAnswer: -r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -f**3\/4 + 156501*f**2\/4 + 1565431*f - 3287361 = 0. Calculate f.\nAnswer: -42, 2, 156541","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 80 a factor of 181310?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1496 is divided by 29.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 1 minus 1.324?\nAnswer: -0.324","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let s(i) = 159*i. Let k(x) = 1137*x**2 - 184*x. Calculate k(s(q)).\nAnswer: 28744497*q**2 - 29256*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is -366461.9 rounded to the nearest one hundred thousand?\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from flvvfvfobff. Give prob of picking 1 f and 1 v.\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let a(w) = -127*w. Let c(k) = 5*k - 4*k + 2*k - k - 4*k. What is a(c(o))?\nAnswer: 254*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 101922?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let j(c) be the third derivative of 47999*c**4\/24 - 5*c**3\/6 - 3*c**2. Let y be j(-5). What is y rounded to the nearest 100000?\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -1003\/2 + 492. Calculate the common denominator of o and (-182)\/3*(-13)\/156.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of -87, -223, -459, -801, -1255, -1827?\n\"Answer: -j**3 - 44*j**2 + 3*j - 45","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (j**5 + 5*j**5 - 5*j**5)*(494 - 2011 - 475 - 886).\nAnswer: -2878*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (86\/8)\/1 - (-59)\/(243 - 7).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*n - n - 3*t = -20, -3*n + 38 = -2*t. Let l be -3 - ((-56)\/(-9) - 8\/36). Let f = l + n. Solve 0 = -2*u + f + 1 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -2*u**4 - 4 + u + 16 - u**2 + u**3 + 9*u**2 - 9*u**2 + 6*u**4 to p + x*u + s*u**2 + z*u**4 + i*u**3 and give i.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 753 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Put -2, -129, 3, 2, -4 in descending order.\nAnswer: 3, 2, -2, -4, -129","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 49217 a multiple of 59?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -93\/1755404 and 63\/176600.\nAnswer: 87770200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 111858894 and 1512?\nAnswer: 447435576","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 3\/(-2 - (-2245)\/1115) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 34768?\nAnswer: 2, 41, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let t be -69780025 + 53 + -19 - (10 + -1). What is t rounded to the nearest one million?\nAnswer: -70000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 1737 and 193?\nAnswer: 1737","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2163462 is divided by 393.\nAnswer: 390","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 6939 + -97247\/14. What is the common denominator of l and 8\/(48\/(-171)) - -5?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 114 and 30.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -b + 15 = -5*y, -2*b + 8 = -3*y - 8 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-8)\/(-5) + ((-36)\/15)\/(-6). Let f be (-7 - 441\/(-27))\/(m\/3). Calculate the greatest common divisor of 14 and f.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {i: 1, b: 2, j: 1, h: 3, n: 1, g: 10}. What is prob of sequence nhi?\nAnswer: 1\/1632","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -6*((-5*(sqrt(75) - (-2 + sqrt(75))) - ((sqrt(75)*-5)**2 - sqrt(75))*-3) + -1 + -3).\nAnswer: -33666 + 90*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -18, 1.5, 3, 0.3?\nAnswer: 1.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of 31, 29, 29, 31, 35?\n\"Answer: r**2 - 5*r + 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -2*8\/8*(-4)\/32*-2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let i(f) = -f**2 + 10*f - 6. Let n be i(9). Find the second derivative of -3*h - 49*h**n + 41*h**3 + 4*h + 6*h wrt h.\nAnswer: -48*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(h) = 12*h**2 - 13 - 19 - 15 + 2*h - 5*h. Let u(p) = -11*p**2 + 2*p + 46. Let l(b) = 2*a(b) + 3*u(b). Find the first derivative of l(w) wrt w.\nAnswer: -18*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: ((-24)\/(-15))\/(18\/(-45))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*i + 2*u - 8, 4*i - u = -6*u + 20. Solve -2*f - 6 = 2*a - i*a, -5*a + f = -15 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -359894 to the nearest 100000.\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*q + 268553 = -3*t - 646030, 2*t = 4*q - 609738. Is (4\/(-6))\/(26\/t) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Total of 6299920511 and 0.0197.\nAnswer: 6299920511.0197","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is (0 - -14) + -39 + 33 + -16 + -25?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -320593*d**2*f**3 + 133*f**3 - 295*f wrt d.\nAnswer: -641186*d*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 12*b + 5 - 377 = 0. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -13 = -4*u - 1. Solve u = 2*c - c + 4*m, -4*m + 8 = -4*c for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-1)\/((-5)\/(-6)))\/(432\/720)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.000841457 to four dps.\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*z = -z - 3. Let r be ((-3)\/z)\/(4\/(-4)). What is the remainder when (-2 + (-12)\/(-9))*r is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2, 3, -180, -10 in decreasing order.\nAnswer: 3, 2, -10, -180","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 3904263 is divided by 52?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 7 - ((-1254)\/242 - 2\/(-11)). Solve -5*c - 27 = -d for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -11 - -13. Solve 0 = i + g + 3 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 521985149?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let s be ((-72)\/(-30))\/(-3)*15. Let p be s\/(-21) + (1 - (-24)\/7). Solve 0 = -2*w + 4*o - 7 + 19, -5*o - p = 0 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 0\/2*(4 - (1 - -2)). Suppose 20 = 4*k - l. Solve -14 = 2*c - 4*f, k*f = -3*c - 0*c + 23 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -2\/43?  (a) -2  (b) 2\/7  (c) 0  (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is (-420)\/(-462)*1661\/139675?\nAnswer: 2\/185","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Determine u so that 20*u**5 - 87*u**4 - 83*u**3 + 77*u**2 + 63*u + 10 = 0.\nAnswer: -1, -2\/5, -1\/4, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 12 - -15.5. Let k = -27 + c. What is the closest to 0 in -1\/11, 4, k?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(8) - (sqrt(72) + (sqrt(72)*1 - sqrt(72)) + sqrt(72)) - sqrt(8))\/((sqrt(96)\/sqrt(3))\/sqrt(8)).\nAnswer: -6*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {r: 1, u: 1, j: 1, x: 4, q: 2}. Give prob of picking 2 x.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let p(s) = -4*s**2 - 2*s. Let z(q) = 5*q**2 + q - 1. Let a(l) = 4*p(l) + 3*z(l). Suppose 4*y - 2*u + 6 = -5*u, -11 = 5*y + 2*u. What is the units digit of a(y)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -2702 - -121519\/45. Calculate the common denominator of s and -83\/8.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 2536284?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 142*p + 29*p**3 - 142*p - 101*p**3 + 43*p**3 + 26*p**3.\nAnswer: -3*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*g - 16 = -13*g. Suppose 5*v - 627 = 4*k, -g*v + 3*k - 606 = -7*v. Does 41 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(r) = -r**2 - 13*r - 20. Let l be y(-11). Suppose 7*k + 5 = -l. Sort 4, k, -5, -4.\nAnswer: -5, -4, k, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: 966 divided by -69\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let l(v) = v**3 + 8*v**2 - 9*v + 6. Let y = -13 - -4. Let t be l(y). Suppose -t - 24 = -2*j. What is the tens digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -0.7, 52, 0, -38.8?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is -67743 (base 8) in base 11?\nAnswer: -1a57a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 20 + -12. Let c be -1*(-6)\/8*p. Suppose -2*t - 28 = -c*t. What is the units digit of t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -1482 + -13?\nAnswer: -1505","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 278977 is divided by 1641.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 1458 rounded to the nearest 100?\nAnswer: 1500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is -13.0407 rounded to two decimal places?\nAnswer: -13.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 4*a**2 + 2492 + 5*a - 2492 to i + j*a**2 + z*a and give j.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*n - 3*o = 274, -5*o + 2*o + 230 = -4*n. Does 14 divide (-1)\/(-7) + (-2568)\/n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4 + 3 = -2*k - 2*y + 3*y, 459*k - y + 464 = 0 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 0 + (4*(sqrt(108) + 1*sqrt(108) + sqrt(108)))**2.\nAnswer: 15552","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5*(sqrt(28) + 1).\nAnswer: 5 + 10*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 6.4  (b) -2\/59  (c) 1  (d) 0.1  (e) -5  (f) 432\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {z: 5, m: 3}. What is prob of sequence zmmm?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: 0.049*0.32691\nAnswer: 0.01601859","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let x be ((-3)\/(-21))\/((-14)\/(-98)). What are the prime factors of (-16737)\/(-28) - (x + (-20)\/16)?\nAnswer: 2, 13, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*g**4 - 45*g**3 + 279*g**2 - 411*g + 180.\nAnswer: -3*(g - 3)*(g - 1)**2*(g + 20)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 342 divided by 18.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let a be ((-2)\/(-4))\/((-1)\/(-6)). Suppose -5*s + 69 = m + m, -s = -a*m - 24. Calculate the remainder when (-3 - 0)\/6*-58 is divided by s.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -2*a**3*p**2 - 109*a**2*l*p + 2*a*l*p**2 + a*l*p + a*p**2 + 116*l*p**2 wrt a.\nAnswer: -12*a*p**2 - 218*l*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let x(f) = -3*f - 7. Let z be ((-96)\/(-54))\/4*(-45)\/(-10). Let a(r) = 2 + 885*r - 884*r - z. Give 5*a(v) + x(v).\nAnswer: 2*v - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -2104, -4598, -7092, -9586, -12080?\nAnswer: -14574","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Does 37 divide 1385?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let m(d) = 16*d - 163. Calculate m(9).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -625.1 - -625. What is the third smallest value in f, 0, -5, 3\/2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((1\/(-3))\/((-16)\/288))\/(-26)?\nAnswer: -3\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Divide -905 by 3.\nAnswer: -905\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: 46122.1878 times 0.5\nAnswer: 23061.0939","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence mm when two letters picked without replacement from nmiswynm.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -41 + 744.\nAnswer: 703","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is -35.9 take away 16?\nAnswer: -51.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1621.\nAnswer: 1621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -155\/312 and -49\/312.\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*y**3 - 231150*y**2 - 2671516125*y = 0 for y.\nAnswer: -23115, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let h(f) = f**3 + 7*f**2 - f - 10. Let y be h(-7). Suppose -25 - 647 = -4*b. Is 1*(b\/y)\/(-4) a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 7366433 (base 11) in base 15?\nAnswer: 12160c2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Factor -73\/6*s**3 - s**4 - 42*s - 52\/3 - 107\/3*s**2 + 1\/6*s**5.\nAnswer: (s - 13)*(s + 1)*(s + 2)**3\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand q**2 + 3*q**2 - q**2 + (4 - 13*q + q + 5*q)*(1 + 2*q - 1).\nAnswer: -11*q**2 + 8*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {i: 6, p: 3, s: 2, m: 4, b: 3, h: 1}. Give prob of sequence hibb.\nAnswer: 1\/2584","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let u(a) = -1685*a**2. Let w(q) = -q. What is u(w(z))?\nAnswer: -1685*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*x**2\/9 - 2140*x\/9 - 572450\/9.\nAnswer: -2*(x + 535)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*z - 2499 = -25*z - 149*z + 1457 for z.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -340*b = -300*b - 1400. Solve -9 = -11*y + b for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*v - 3598983 = 7635287. Let w = 2153146 + v. What is w rounded to the nearest 1000000?\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve c + 4*v - 14 = 0, 0 = 3*c - 5*v + 20 + 6 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 13816854?\nAnswer: 2, 3, 767603","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -9685 + 10629. What is the remainder when b is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -18.1 - -18. Let t = -2.6 - -1.3. Let f = -0.3 - t. What is the closest to 1\/4 in 4, j, f?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence hhy when three letters picked without replacement from {h: 4, d: 1, s: 3, y: 2}?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 182\/141 in 9, -0.4, 37?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 614 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve 748*p - 22350 = 690*p - 1432*p for p.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 3.3 - -6.3. Let v = u - 9.6094. Round v to 3 dps.\nAnswer: -0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(y) = -45*y + 94. Is 15 a factor of p(-6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -1 + 5. Suppose 0 = t*i - 3*i - 21. Let o = i + -5. What is the least common multiple of o and 6?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 3 - (2 + -2 - 3 - -2).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (g\/(g*g*g*(((g*g**(-1)*g)\/g)\/g)\/g))**(2\/159)*((g*(g**(-2\/15)\/g)\/g)\/g)\/(((g*g\/g**1*g)\/g)\/g) assuming g is positive.\nAnswer: g**(-32\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Find c such that -3*c**4 - 12105*c**3 + 97059*c**2 + 109161*c = 0.\nAnswer: -4043, -1, 0, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1?  (a) -2\/17  (b) 0.11  (c) -0.06\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -1 - -3. Let r = v - 2. Suppose -p - p + 28 = r. What is the units digit of p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 1258.74 to the nearest one thousand.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Round 3.132 to two decimal places.\nAnswer: 3.13","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 879065 a multiple of 605?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of 51017, 51049, 51107, 51191, 51301, 51437?\n\"Answer: 13*i**2 - 7*i + 51011","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let k(x) be the second derivative of -x**7\/273 - 2*x**6\/195 + 7*x**5\/26 - 46*x**4\/39 + 92*x**3\/39 - 32*x**2\/13 - 482*x. What is w in k(w) = 0?\nAnswer: -8, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -2*s**2 - 3*s + 3*s + (3 - 2*s - 3 + (-2*s + 0*s + 3*s)*(0 - 2 + 1))*(7*s - 2*s + s) to m*s + b + u*s**2 and give u.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Divide 2466 by -6.\nAnswer: -411","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 198 and 30558?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (f**(1\/5)\/f*f)**(-41)*(f**(-3\/8))**49 assuming f is positive.\nAnswer: f**(-1063\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let w(f) = -31*f + 64. Let x be w(-4). Calculate the highest common divisor of x and 329.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(v) = -v + 13. Let j be y(6). What is the third derivative of -59*c**2 - j*c**5 - 2*c**4 + 93*c**2 + 5*c**5 wrt c?\nAnswer: -120*c**2 - 48*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 13506.4668 + -13503. Round d to the nearest integer.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence zgl when three letters picked without replacement from zqlzgqz?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let t(p) be the first derivative of -1681*p**4\/24 + 41*p**3\/3 - p**2 + 134*p + 45. Let d(r) be the first derivative of t(r). Find h, given that d(h) = 0.\nAnswer: 2\/41","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1 + -4 + 0 + 1?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*c + 30 = 2*n + n, 0 = -5*n + 3*c + 16. Suppose -3*s + 9 = -4*k + 21, 15 = n*k + s. Solve 35 - 29 = k*r for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence bhch when four letters picked without replacement from hchuhbhhb.\nAnswer: 5\/378","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 405238296*n**5 - 51*n**2 - 6848*n - 92.\nAnswer: 24314297760*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -8 - 5. Let u = 12.9 + n. What is the nearest to 0.6 in u, -0.2, -5\/6?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -127400*h*n**3*t + 11*h*t - 736*n**3 + 97*n**2*t wrt h?\nAnswer: -127400*n**3*t + 11*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 15551 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 677504 is divided by 84631?\nAnswer: 456","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*i - 6 = -0*i, q - 5*i - 11 = 0. Let x = 8 + q. Calculate the least common multiple of 27 and x.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1\/3?  (a) 6  (b) -25  (c) -9  (d) -18\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.000992864966 to seven dps.\nAnswer: 0.0009929","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (427\/(-49) + 9)\/((-472)\/(-168) + -3)?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-5 + 206*s + 5 + 5*s**2 - 212*s)*(-1370*s**3 + 3189*s**3 - 1386*s**3).\nAnswer: 2165*s**5 - 2598*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 612 and 792.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let s(v) = -152*v - 2. Let i be s(-9). Let g(r) = -797*r**2 + 482*r**2 - i*r**2 + 5*r. Let h be g(5). What is h rounded to the nearest 10000?\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 b, 1 h, and 1 f when four letters picked without replacement from {f: 1, a: 1, h: 1, b: 2}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 303 minutes before 10:05 AM?\nAnswer: 5:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let p(r) = r**2 + 9*r + 21. Suppose -2*w + 2*n = -0*w - 16, -5*n - 4 = -w. Let z = 6 - w. Let f be p(z). Solve -g - f = 2*g for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -0.95 + 1.25. Let p = -2 + 1.6. Put p, h, 1\/3 in descending order.\nAnswer: 1\/3, h, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1891738.2 rounded to the nearest ten thousand?\nAnswer: -1890000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose c + 18 = -32. Let r = c + 54. What is the third derivative of 0*f**4 - 3*f**2 + 2*f**4 + 10*f**r wrt f?\nAnswer: 288*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 5904851 or 5904857?\nAnswer: 5904857","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve -15*n + 336 - 306 = -20*n for n.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -42720 in -208, -10, -0.2?\nAnswer: -208","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: (48 - 74) + (83 - 17)\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 13537702?\nAnswer: 2, 103, 65717","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let n(f) = -f + 10. Let g be n(8). Suppose y = g*y. Suppose 0*d + d - 3700 = y. What is d rounded to the nearest 1000?\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 2 + (-7 + 8 - (1 + -1)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is a7b + -2a?\nAnswer: a51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-x - x + x)*(2222 - 483 - 576).\nAnswer: -1163*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Add together 164 and -3.\nAnswer: 161","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*m - 3*n - n - 744 + 688 = 0, -3*m + 83 = 3*n - 8*n for m.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:09 PM and 4:56 AM?\nAnswer: 467","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10*n**4 - 35724*n**3 - 93002*n**2 + 185916*n - 57200 = 0. Calculate n.\nAnswer: -4, 2\/5, 1, 3575","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let w(t) = 4*t - 45. Let j be w(13). Suppose 6*h = j*h + 4. Let q = 4.6 + 0.4. Put h, 3, q in descending order.\nAnswer: q, 3, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 42610158?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let o(j) = 24 + 26*j**2 - 9*j - 11*j + 169 - 27*j**2. Let c be o(-27). Suppose 0*v = 4*v - 8. Solve -6 = c*q + v*w, 5*w - w - 12 = 4*q for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 64526 to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 4 k when four letters picked without replacement from {f: 3, k: 13}?\nAnswer: 11\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Expand (204*v - 214898 + 214898)*(4 - 5 - 1) + (-2*v - v + 2*v)*(-1 + 1 + 1) + 7 - 7 + v.\nAnswer: -408*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.06?  (a) 5  (b) -19\/4  (c) 34\/5  (d) -0.3  (e) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*k**2 - 7124*k\/7 - 1018\/7 = 0.\nAnswer: -1\/7, 509","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 0.1945  (b) -1.3  (c) -1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (5*(-3 + sqrt(200) + sqrt(200) + sqrt(200) + 2 + -3 + (sqrt(200) - -1*sqrt(200)*-1 - ((sqrt(200) - (1 + sqrt(200)))*-2 + sqrt(200)))))**2.\nAnswer: -6000*sqrt(2) + 20900","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 317 + -192. Let t = s - -182. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of -293265, -293454, -293641, -293826, -294009?\n\"Answer: f**2 - 192*f - 293074","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 6 + 80518722282?\nAnswer: 80518722288","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 13927 + -13931. Sort z, -0.5, -0.2, 7\/18, -1\/6.\nAnswer: z, -0.5, -0.2, -1\/6, 7\/18","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 33389 to the power of 1\/5, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Express ((1 + 3 - 2)*(3 - 5 + 1) - 64 - 49 + 27)*(4*g - g - g) in the form c*g + i and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is -53*((-388)\/(-1552))\/(2\/((-8)\/(-15)))*15?\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.00109311111 rounded to 6 dps?\nAnswer: -0.001093","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -16*a = -9*a - 21. Let o(c) = 0 + 4*c**2 + 0*c + 0 + 2 + 5*c - c**a. Let n be o(5). Solve 3 = -q - n*q for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 20412112 + -2?\nAnswer: 20412110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 897.\nAnswer: 3, 13, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 27121 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 1020020220022 - 1?\nAnswer: 1020020220021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -6*(-2*-5*-5*-5*(-5 + sqrt(162) + 0 - sqrt(162))*-1)**2*3.\nAnswer: -28125000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 256*k - 10*k**6 - 256*k + k**2 wrt k.\nAnswer: -1200*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(w) = w**2 - 7*w - 6. Let j be k(8). Let d be 3 + (1 - j) - -1. Let r = 51 - d. Calculate the remainder when r is divided by 17.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 7799*g**4 - 3746*g**2 wrt g.\nAnswer: 187176*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 3151093289 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 2 less than -451191385654541?\nAnswer: -451191385654543","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 36170 is divided by 1165.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.036 - 4472022.\nAnswer: -4472022.036","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: -0.231908958839+4\nAnswer: 3.768091041161","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 198\/(-132) - 313874\/(-4) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (16 + 907*s - 12 - 915*s)*(12*s**2 - 2*s + 2*s) + 3*s**2 - 3*s**2 - s**3 + 2*s**3 - s**3 - 3*s**3 + (-s**2 + 0*s + 0*s)*(3 - 3 - s).\nAnswer: -98*s**3 + 48*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Find d such that 6*d**4\/5 + 26854*d**3\/5 + 29826912*d**2\/5 - 494218824*d\/5 + 161424512\/5 = 0.\nAnswer: -2246, 1\/3, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Expand (r - 2 + 2)*(-3 + 5 - 1)*(23148 - 1162*r - 23148).\nAnswer: -1162*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of 83, 80, 75, 68, 59, 48?\n\"Answer: -s**2 + 84","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 1023 - 1019. Suppose -3*m = -0*m, 5*h = -5*m + 25. What is the second smallest value in h, k, 3?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -236 + -3?\nAnswer: -239","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4*j - j**2 - 4*j)*(-1 - 33*j + 42*j + 5).\nAnswer: -9*j**3 - 4*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let s(g) be the first derivative of 2*g**2 + 1520. Let m(r) be the second derivative of -r**4\/2 + r. Give s(m(y)).\nAnswer: -24*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let o(q) = 8*q**2 - q - 1. Let y be o(-1). Suppose s + 87 = -y. Let i = -58 - s. What are the prime factors of i?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from sqpsypssppssssppppyp. Give prob of picking 1 p, 2 y, and 1 s.\nAnswer: 24\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let k(c) = -10*c**3 - c + 3. Let x(w) = -w**3 - 1. Give -k(d) - 3*x(d).\nAnswer: 13*d**3 + d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 61.1 - 61.4. Which is the fourth biggest value?  (a) -0.02  (b) f  (c) -2\/9  (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*x + 2*x + 30 = 0. Suppose 5 = -5*a + x. Suppose -8 = -3*o - o. Calculate the highest common factor of a and o.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 10225 divided by -409?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*w - w - 9 = 4*l, 0 = 5*w - 3*l - 14. Let r be (w\/3)\/(2\/6). Solve -2*g + r = j - 4, 4 = 2*j + 2*g for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify v**(-9)\/((((v**(-3)*v)\/v*v)\/v*v*v)\/v) assuming v is positive.\nAnswer: v**(-7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 0 or -2\/395?\nAnswer: -2\/395","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 658 - 2?\nAnswer: 656","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence gkg when three letters picked without replacement from {k: 8, g: 3}?\nAnswer: 8\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 920 and 40?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 1123*r + 157*r**2 - 2 - 1124*r - 5*r**4 + 4*r**4 to the form o*r**2 + l*r**4 + u + g*r**3 + x*r and give x.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 0, -2.3, 15, -2, -15\/8, 4?\nAnswer: -2.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in fourty-five halves of a litre?\nAnswer: 22500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Does 4 divide 484611?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 103?  (a) 2  (b) 0.416  (c) -2\/11  (d) -0.4  (e) 6\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -13 + 14. Suppose 0 = -4*b - 0 + 12. Let q(p) = -b - j - p + 0*p. Calculate q(-3).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 0.9 and 0.02194341.\nAnswer: 0.019749069","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0 (base 6) to base 11.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -149.2 + 9.2. Which is the third smallest value?  (a) -1\/5  (b) 0.2  (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 0 - 1022*z - 2 + 2846*z + 2 to the form l*z + t and give l.\nAnswer: 1824","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1288043 (base 13) to base 12.\nAnswer: 1b45562","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let -5*h**2 - 2845785*h = 0. What is h?\nAnswer: -569157, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Convert -b1 (base 12) to base 13.\nAnswer: -a3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -20 + d + 117*d + 20.\nAnswer: 118*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*b + 1510 = 8*b. Let h = b - 124. Let c = h + -127. What is the remainder when c is divided by 18?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(r) = 13*r - 4. Let q be n(0). What is the second smallest value in -6\/11, q, -1\/7, -0.123?\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*r = 4*l - 64, 2*l = r - 14 - 4. Suppose -y - 3 = 3*z - 5, -4*z = r. Calculate the highest common divisor of 68 and y.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -8953ac - -15?\nAnswer: -895397","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((o\/o**0*o)**(17\/2))**(8\/5))**(-2\/37) assuming o is positive.\nAnswer: o**(-272\/185)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Work out -498 + -155607184288.\nAnswer: -155607184786","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 327650.\nAnswer: 2, 5, 6553","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -41*w - 20 = -46*w. Let d be 90\/(-36) - (-130)\/w. What is the greatest common divisor of 6 and d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {n: 1, i: 7, b: 4, h: 8}. What is prob of picking 1 h and 1 i?\nAnswer: 28\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let g(i) = -i**2 + 10*i - 23. Let c(p) = -p**2 - 80*p + 169. Let k be c(2). Calculate g(k).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((8*1)\/(17\/17))\/((-1)\/(-1)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Express 176*p - 60*p - 622*p - 563*p - 578*p as i*p + m and give i.\nAnswer: -1647","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when ((-96)\/(-104))\/(-6) + 613\/13 is divided by 13 + 1\/2*-2.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(n) = -7*n**3 - 2*n**2 + n + 6. Is k(-3) a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 0.9 - 0.4. Let d = -0.5 + j. Let o = -3.5 + 4. Which is the second smallest value?  (a) d  (b) o  (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(n) = -515*n + 16. Let k be m(-1). Let p = k + -485. Calculate the smallest common multiple of 16 and p.\nAnswer: 368","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ft when two letters picked without replacement from {f: 1, y: 3, e: 4, p: 4, z: 1, t: 6}.\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*i + 8 = -0*i. Suppose 2*j + 18 = 5*x - x, -i*j - 12 = 0. Let c = x - -1. Sort c, -4, 5.\nAnswer: -4, c, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 5 + 4. Is (-2 + o)\/(4\/52) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -74.992 - -75. What is j rounded to three decimal places?\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 0.5 and -604.37?\nAnswer: -302.185","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*j - 10, 0 = c + j - 7. Let d be (-6)\/c - (-3 - 3). Let o(r) = 4*r**2 - 2*r**2 + 2 + d*r - 6. Calculate o(-3).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: 565 divided by 24594\nAnswer: 565\/24594","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let r be ((-11)\/1)\/((-10)\/20). Let k(x) = -12*x - 6. Let u be k(-6). Calculate the highest common factor of u and r.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 12*1*(-1)\/3?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let a(v) = -v - 10. Let b(z) = -2*z**2 - 48*z. Let k = 177 + -201. Let d be b(k). What is a(d)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -2\/7, 3, -10, -2\/15?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 3631 + -3554. Calculate the remainder when 460 is divided by z.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(r) = -752 + 160 + 235 + 22*r. Give i(16).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -17 = 7*b - 31. Suppose b*z + 4*u + 514 = 4*z, -z = -4*u - 251. Is z a multiple of 32?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 9*r - 5 + 86 for r.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of -767, -1797, -2837, -3887, -4947, -6017?\n\"Answer: -5*x**2 - 1015*x + 253","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Sort 11, -100, -5, -5673 in descending order.\nAnswer: 11, -5, -100, -5673","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of 2106110, 4212224, 6318338?\n\"Answer: 2106114*d - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let q(c) be the third derivative of -c**6\/120 - 5*c**5\/6 - 331*c**3\/3 + 530*c**2. Differentiate q(z) with respect to z.\nAnswer: -3*z**2 - 100*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*p + 4*p = 8. Is 14\/p*(3 + 1) a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 30042126070 + -308?\nAnswer: 30042125762","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 11980746031 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0065421972 to 4 dps.\nAnswer: 0.0065","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Do -506421 and -506430 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*d - 2*d - 84. Is -14 equal to d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 120 by -30.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 42 and 23163.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let l(b) = 5*b**3 + 1735*b**2 - 40*b - 6. Let o(q) = 7*q**3 + 1739*q**2 - 38*q - 7. Let t(p) = -3*l(p) + 2*o(p). What is the second derivative of t(f) wrt f?\nAnswer: -6*f - 3454","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: ((-2)\/(1*-4))\/(-42*243\/1449252)\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 18 - 19. Let x(h) = h**3 + 8*h**2 + 2. Let z be x(-8). Let r(q) = q**3 + 8*q**2 + 5. Let u be r(-8). Put c, z, u, 12 in increasing order.\nAnswer: c, z, u, 12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-2)\/(-3) + 55\/3. Calculate the highest common divisor of i and 209.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*z + 1 = -4*x + 36, z - 10 = -x. Suppose 2*c = 3*w - 6, -x*w - c = c - 10. What are the prime factors of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth biggest value in -6, 24190, 0.4, -0.1, -12?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 2 + -5. Let o be (-4)\/(-3) + 8\/18*u. Put o, 2, -8 in descending order.\nAnswer: 2, o, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -8015841 - -699104. Let u(r) = -5096738*r**2 + 8*r + 9. Let h be u(-1). Let k = h - g. What is k rounded to the nearest 100000?\nAnswer: 2200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(x) = -3*x**3 + 89*x**2 + 29*x + 16. Let f be m(30). Let p(j) = -j - 30. Calculate p(f).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 7664 is divided by 1523.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is -7 - -16 - (3 - (1 - 16))?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 5.05 + -0.05. Let q = -3 + z. Let m = -1.77 + 1.87. What is the nearest to q in m, 0.2, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(847) + (sqrt(847) + 0 + 5 - sqrt(847) - sqrt(847) - sqrt(847)))*-2)**2 + -5.\nAnswer: -440*sqrt(7) + 3483","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Product of -11.53 and 2.\nAnswer: -23.06","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from qqqhvqhqlhqqhfaq. Give prob of sequence lv.\nAnswer: 1\/240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of 38, 45, 100, 227, 450, 793?\n\"Answer: 4*u**3 - 21*u + 55","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose t - 508 + 494 = -4*f, 0 = 4*f - 16. Sort -4, t, 30, 2 in descending order.\nAnswer: 30, 2, t, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -116.008308 rounded to zero decimal places?\nAnswer: -116","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let -2*u**3\/3 - 112708*u**2 - 1352424*u - 4057200 = 0. Calculate u.\nAnswer: -169050, -6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: (-16)\/4 + 0\/17\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 292 - 236. Let b = l + -20. Does 2 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*v - 2*i + 447 = -267, -3*v = -4*i - 444. Suppose -31 = 5*w + v. Let u = w + 61. Does 13 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 165.7 + -165.68876. What is r rounded to 3 decimal places?\nAnswer: 0.011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -230 + 103. Let v = j + 127. Put v, -4, 5 in ascending order.\nAnswer: -4, v, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose k - 14 + 2 = -w, -2*w = 4*k - 54. What is the remainder when 72 is divided by k?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -t + 23 = 3*d, -26*d - 14*d + 390 = -3*d - 3*d - 21*t for d.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 898215 and 930.\nAnswer: 55689330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let g(n) = 9*n**2. Let w(i) = 2*i - 1. Give w(g(t)).\nAnswer: 18*t**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let d(b) be the second derivative of 91*b**5\/20 + b**4\/6 - b**2\/2 + b. Does 19 divide d(1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: 39 divided by -1\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -5 - (-28)\/5 - 29\/40?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -9 = 2*z - 5*j - 27, -3*z = j + 7 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 0.0697 - 9.0697. Sort t, -7\/9, 0, -1\/3 in ascending order.\nAnswer: t, -7\/9, -1\/3, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 8 + 6*p + 2 + 9 + 16 wrt p.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 3\/4, -547\/8, 0.03, 76\/59?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*v + 2*a = 8, 0 = -4*v + 94*a - 97*a - 16 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 0\/(-2 + -3 + 7). Let a = -11 + 22. Suppose q = w - a - 18. Is 13 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -75 + 74.7. What is the second biggest value in 2\/3, 10, t?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 148 + -92. What is the hundreds digit of 404 + q\/42*(-3)\/2?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -q + 15 - 13. Solve -c = -q*c + 2 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 439 = -62*p + 67 for p.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Put 306, 2, -3, 2876 in descending order.\nAnswer: 2876, 306, 2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1 + (5 - -3) + (-20 - (7 + -13)) + -27.\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 8\/20 + (-2)\/5. Let v be -4 + 5 - (y - 1). Let i = v + 0. Calculate the greatest common factor of i and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 12 and 3378.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*x - 2*s - 178 = 334, -5*s + 232 = 2*x. Calculate the highest common factor of 54 and x.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) 0.09  (b) -1\/39  (c) -1  (d) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from ykmkmmeekykyye. Give prob of sequence mymy.\nAnswer: 3\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -s**5\/5 + 143*s**4 - 12617*s**3\/5 + 49469*s**2\/5 + 12618*s\/5 - 50184\/5 = 0. Calculate s.\nAnswer: -1, 1, 6, 12, 697","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*f = -0*f + 252. Suppose -400*x - 189 = -403*x. Calculate the greatest common divisor of x and f.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in seven quarters of a year?\nAnswer: 21","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (38\/6)\/(426\/(-14)). Let w = b + -1\/71. Which is greater: w or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -135*g**2*h*z**3 - 281015*g**2*h*z + 2*g**2*z - 256*g*h*z**2 - 5*g*z**3 + 124450*z**3 wrt z.\nAnswer: -810*g**2*h - 30*g + 746700","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -3 in 3\/8, -4\/7, 1?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2*j**3 + 40*j**2 + 21020 - 20934 + 145*j**2 + j.\nAnswer: 2*j**3 + 185*j**2 + j + 86","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 8\/88 + 910\/154. Let g(t) be the first derivative of -27*t**2 - 1\/2*t**4 + 54*t + b*t**3 - 13. Factor g(h).\nAnswer: -2*(h - 3)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 180589 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let k(p) = -41*p**3 - 3*p**2 - 11*p - 26. What is k(-2)?\nAnswer: 312","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((q\/q**(-16)*q)**(-45)*q**(-3\/8)*q**(1\/4)\/q*q)**(1\/32) assuming q is positive.\nAnswer: q**(-6481\/256)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is -28*8\/72 - (1 + -3 + -1)?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (3 - 7) + 5 - 5.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 23 + -22.7. Let v = o - -0.7. What is the closest to 2\/13 in v, -2\/11, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*j = -j. Suppose -4*c - 5*z = -j - 12, 0 = -2*z. Let q = c - -3. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -44 - -191. Let z = 91 + j. What are the prime factors of z?\nAnswer: 2, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(d) = -d**3 + 25*d**2 - 145*d + 2922. Calculate l(24).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let f(g) = -10*g + 11. Let z(a) = -5*a + 5. Let u(j) = 2*f(j) - 5*z(j). What is u(2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(k) = 51*k**3 + k**2 + 1. Let c be i(-2). Let o be 4\/(-6) + (-3170)\/15. Let t = o - c. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 0*w**4 + 0*w**4 + 2*w**4 + (5*w - 3*w + 0*w)*(-2*w**3 - 2*w**2 + 2*w**2) - w**4 + 0*w**4 + 3*w**4 - 3*w**4 - 8*w**4 - w**4.\nAnswer: -12*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is -3349322 < -3349342?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 4 v when four letters picked without replacement from vvvwvvvvvw.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {e: 7, s: 3, a: 2, h: 3}. Give prob of picking 1 e and 1 s.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 895 a factor of 36893690?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let z(j) = -5*j - j**2 + 2 + 2*j + 4*j. Let g(v) = 3 + v - v**2 + v**2 - 2*v**2. Suppose 0 = 2*d + 5*i - 6, -3 = i - 5. What is d*g(x) + 3*z(x)?\nAnswer: x**2 + x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -bf - -1?\nAnswer: -be","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 16 or 10609066?\nAnswer: 10609066","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let g(j) = j**3 - 83*j**2 + 844*j + 716. Calculate g(71).\nAnswer: 148","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of (-5394)\/580 - (-2 + 1) and 13\/1194.\nAnswer: 5970","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 66595536 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve 250*l + 244 = -430*l + 29543 + 11501 for l.\nAnswer: 60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 147384 is divided by 510?\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -278*t = -276*t - 2344. Suppose 2*u + 210 = t. What is the hundreds digit of u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -2 by 1838761.\nAnswer: -2\/1838761","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {g: 1, m: 1, y: 1, v: 1}. What is prob of picking 1 v and 1 y?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from dnnnssnsddndsdnn. Give prob of sequence ns.\nAnswer: 7\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 23 - 16. Let a = 19 - z. Let m be (-45)\/(-21) - (-3)\/(-63)*3. Solve 8 = -i - 3*i + m*s, 3*s = 4*i + a for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 328*f - 576*f - 83720 = 1040*f for f.\nAnswer: -65","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -74 or 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*r - 2 = 8. Suppose -7 = -7*o + r*o + 2*s, -5*s = 4*o + 1. What is the units digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 721 to the power of 1\/3, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 12212 divided by 3053.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 22*g**3\/5 + 18*g**2\/5 - 48*g\/5 + 8\/5 = 0. Calculate g.\nAnswer: -2, 2\/11, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-5 + 3*(5*(sqrt(72) + 0) + -2)*3 + 1 + 2 + -2)**2.\nAnswer: -11880*sqrt(2) + 146284","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*t + 857 = -8. Calculate the remainder when t is divided by (10\/4)\/(-3*2\/(-84)).\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1556223 (base 9) in base 16?\nAnswer: d2f30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 280*k + 287*k - 1147*k + 6*k**2 + 287*k + 293*k.\nAnswer: 6*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Work out 1.468 * 519.2.\nAnswer: 762.1856","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from njnnwnwnjnjnnwwj. What is prob of picking 2 j?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -42232 divided by 637.\nAnswer: -42232\/637","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 17.7 + -2.7. Let u = -15.3 + w. Let t = 1 - 0.6. Sort u, t, -2\/5 in descending order.\nAnswer: t, u, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.2, 0.14, 0, 1, -1226.\nAnswer: -1226, -0.2, 0, 0.14, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 530 - 15*f - 18*f + 49*f - 15*f + 1044.\nAnswer: f + 1574","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 258 and 33.\nAnswer: 2838","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 43533110 and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 1746 and 108?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: 143 (base 12) to base 15\nAnswer: d0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2\/7, 0.09, -2 in increasing order.\nAnswer: -2, -2\/7, 0.09","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 32343328 is divided by 33275.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2, -5, 3, -6, 4.\nAnswer: -6, -5, 2, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1843*o = -1844*o - 2 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 0 + -24 - (-21 + 21 + 21)?\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose m**4\/3 + 4*m**3\/3 - 10*m**2\/3 - 28*m\/3 - 5 = 0. What is m?\nAnswer: -5, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let u(m) = -m**3 - m**2 + 2*m + 2. Let v be u(-3). Suppose z = 5*l + 3 - 19, 5*l - v = -z. Let h be -1*(1\/z + -1). Solve 3*d - h*d = 5 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -t**4\/5 + 51*t**3\/5 + 54*t**2\/5 - 104*t\/5.\nAnswer: -t*(t - 52)*(t - 1)*(t + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let k(n) = -12*n - 73. Let b be k(-9). Find the second derivative of 28 + 54*p**2 + 58*p**2 - 28 - b*p wrt p.\nAnswer: 224","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 h and 1 y when two letters picked without replacement from bhnbbbry?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 7870 and 52270?\nAnswer: 41136490","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: 435 (base 9) to base 16\nAnswer: 164","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -11443 - -11491. What is the smallest common multiple of 648 and y?\nAnswer: 1296","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 6959, 13856, 20711, 27518, 34271, 40964?\nAnswer: 47591","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Put together -2022 and -147.41.\nAnswer: -2169.41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let f(c) = -3124*c - 84351. What is f(-27)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let q(b) = 3*b**3 - 32*b**2 + 23*b + 20. Suppose -53*w + 54*w = 17. Let v(y) = y**3 - 11*y**2 + 8*y + 7. Let u(m) = w*v(m) - 6*q(m). Determine u(5).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 15\/6*8\/10. Suppose -i*d + 5*y + 155 = 3*d, -2*y - 128 = -4*d. What is the tens digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -19 + 30 - 11 - 39*m + 0 + 0 + 3*m + (0 - 2 + 3)*(-m - m + 5*m) to the form p*m + o and give p.\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve -32*i = -36 + 164 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 16 = x + 11 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1 in 14, 11, 52?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -120 - -133. Find the third derivative of -3*y - 6*y - 44*y**5 - 19*y**2 + 16*y**2 - q*y**5 wrt y.\nAnswer: -3420*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -j = 5*x - 164280, 0*x + 4*j - 32856 = -x. What is the units digit of x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 12 + -5. Solve -3*c + 6*c = 4*s - l, 4*c + 20 = 0 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -11*g + 8*g + 168 = 0. What are the prime factors of g?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 9313 is divided by 65.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let i(g) = 3*g**3 - 24*g**2 - 3*g - 55. Let w be i(9). Calculate the greatest common factor of w and 989.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 2187\/63 - (-2)\/7. Suppose -8*r + i = -r. Suppose r*p - 4 = -h, -p - 12 = -3*h + 4*p. Solve -8*q = -h*q - 4 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*j**3\/9 - 28*j**2\/9 + 8*j\/9 + 160\/9 = 0. What is j?\nAnswer: -2, 4, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 3254991 - 0.1.\nAnswer: 3254990.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -4 - (-10 + -3 + 14 + -6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*m = -5*m + 4361. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((k*(k*k**(-2\/3)*k)\/k)\/k)**(-40)\/(k**(-1\/4)*k*(k**4*k)\/k)*(k*k*k**(-1\/6)*k**(4\/7))\/((k\/((k*k\/k**(-4))\/k))\/(k\/(k*k**(-3)))) assuming k is positive.\nAnswer: k**(-243\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0 (base 10) to base 16.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: 1185618 * 0.06\nAnswer: 71137.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 31453532 and 132.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (150 - 150 - 161*j)*(-1 - 3 - 1)*(9 + 0 - 44*j + 46*j)*(-1 + 2 - 2) to the form w*j + p*j**2 + y and give p.\nAnswer: -1610","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose x + 3 + 2 = 0. Let i(m) = -2*m. Let j be i(x). Solve -6*o + o = -t + 30, -2*o = 4*t - j for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(d) = 6320*d - 5669. Give v(1).\nAnswer: 651","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((v**42*v)\/v)\/v**(-12))\/(v*v*v*(v\/v**(21\/4))\/v)**(-3) assuming v is positive.\nAnswer: v**(189\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let s(h) = 7*h + 36. What is s(3)?\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of -4322100, -8644191, -12966284, -17288379, -21610476, -25932575, -30254676?\n\"Answer: -a**2 - 4322088*a - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 y and 2 h when three letters picked without replacement from {e: 6, k: 1, z: 3, h: 5, y: 3}?\nAnswer: 5\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -5*r**3 + 79*r**2 - 20*r - 579077.\nAnswer: -15*r**2 + 158*r - 20","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let l be ((-26)\/4 - -3)\/(10\/(-4)). Let i = 26\/15 - l. Sort i, -6\/13, -1 in descending order.\nAnswer: i, -6\/13, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*p + 25 = -0*p + 5*t, 0 = -2*p - 2*t + 16. Suppose 64 = l + 2*l - k, l = -p*k. Calculate the least common multiple of l and (-1 - 0\/(-1))*-14.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose z + 0*z = 3. Let s = -4.4 + 7.9. Let t = s + -3. What is the closest to -0.1 in z, t, 2?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (-2)\/6 - (-4 + 11\/3). Solve 5*g - 4*g + 3 = v for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (0 + 0 + k**2)*(4*k + 0*k - 3*k + (3 + 1 - 3)*(-7*k + 2*k - 5*k)) as q*k + x*k**3 + z*k**2 + u and give x.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -2634 or -2655?\nAnswer: -2655","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 42 = 6*w - 18. Suppose 12*q - 11*q = w. What are the prime factors of q?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(k) = 5*k**3 - k**2 - 6*k - 1. What is the remainder when a(4) is divided by 56 + (-1)\/(-4)*0?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2441*q - 670*q + 527*q + 60585 = -3759 for q.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of -2277451, -4554903, -6832355?\n\"Answer: -2277452*h + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let h(b) = b**2 - 4*b + 3. Suppose -z + 2*z - 8 = -4*k, 8 = 2*z + 4*k. Suppose -3*c + 6 + 6 = z. Let l be h(c). Solve -5*y - 2 = l for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(s) = -s**3 + 9*s**2 - 8*s + 3. Let w be l(8). Suppose -y = -3*k + 89, w*k + 2*y - 94 = 4*y. What is the remainder when k is divided by 15?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 73416417 is divided by 1540?\nAnswer: 1537","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Expand 81 - 182 - 80 - 245 + 39 - 2*j**4 + 3*j**3 + 2*j**4 - 3*j**3 + (4*j**2 + 4*j**2 - 6*j**2)*(12 + 4*j**2 - 12).\nAnswer: 8*j**4 - 387","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 17200 and 1548?\nAnswer: 172","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 25e4 + -4793?\nAnswer: -21af","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 3657 and 212106?\nAnswer: 212106","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let g(f) = -5*f**3 + 9*f + 10. Let l(d) be the first derivative of 11*d**4\/4 + d**3\/3 - 19*d**2\/2 - 21*d + 10. Let a(h) = 9*g(h) + 4*l(h). Calculate a(5).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of -42, -72, -98, -126, -162, -212, -282?\n\"Answer: -x**3 + 8*x**2 - 47*x - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -41*p + 40*p + 19*p**2 + 19*p + 0*p**2.\nAnswer: 19*p**2 + 18*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of -1064, -1056, -1044, -1028?\n\"Answer: 2*i**2 + 2*i - 1068","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let v(q) be the third derivative of q**3 + 1\/4*q**4 + 0 + 0*q + 224*q**2 - 1\/60*q**5. Let w = 15 + -9. Give v(w).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 f and 1 j when two letters picked without replacement from {f: 7, j: 4}.\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is -2205.2 rounded to the nearest 10?\nAnswer: -2210","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.5 plus 3.9?\nAnswer: 4.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let m(g) = g**3 + 22*g**2 + 35*g + 11. Is m(-18) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 7  (b) 5  (c) -14  (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of 27, 48, 43, 0, -93, -248?\n\"Answer: -2*w**3 - w**2 + 38*w - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 322988472?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*n - 21 = r - 4*r, -n = 3. Calculate the remainder when 33 is divided by r.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of -477204, -477212, -477226, -477246, -477272, -477304?\n\"Answer: -3*k**2 + k - 477202","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -19 - -33. Let b be 414\/21 + -5 - (-4)\/s. Let n = 29 - b. What is the highest common divisor of 14 and n?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 2025 + -330565?\nAnswer: -325540","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of -601, -650, -713, -790, -881?\n\"Answer: -7*y**2 - 28*y - 566","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -57\/14 and 12\/(-15) - 1371\/30.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -16.635 - -16.59. Which is the third smallest value?  (a) n  (b) 1  (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -6 divided by 6549.\nAnswer: -2\/2183","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let -3*o**2 - 4*o**2 + 0*o**2 + 15*o**3 - 3*o - 5*o**2 = 0. Calculate o.\nAnswer: -1\/5, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -42630 = -509*d + 1040*d - 386*d - 635*d for d.\nAnswer: 87","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let h(j) = -j**3 + 8*j**2 + 10*j + 2. Let f be h(9). Let d(a) = -a**2 + 13*a + 15. What are the prime factors of d(f)?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4*f**2\/3 + 1520*f\/3 - 144400\/3.\nAnswer: -4*(f - 190)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let m(a) = -a**3 + 10*a**2 - a + 12. Calculate m(10).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -5 + 5. Is i + (18 - -2*1) a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 31100162 to the power of 1\/3, to the nearest integer?\nAnswer: 314","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -4*z, 3*k + 4*z + 0 - 15 = 0 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let j(u) be the third derivative of -u**7\/70 - u**6\/8 - 3*u**5\/10 + u**4\/2 + 4*u**3 - 20*u**2. Factor j(w).\nAnswer: -3*(w - 1)*(w + 2)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of -16, -66, -118, -172, -228, -286, -346?\n\"Answer: -r**2 - 47*r + 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(117)*-2 - sqrt(117))*3 + (sqrt(117) - (-4 + -2*sqrt(117))))**2.\nAnswer: -144*sqrt(13) + 4228","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6 = 2*a - w, 9 = -5*a + 3*w - 2*w. Let b = 6422 + -6425. Sort a, b, 3.\nAnswer: b, a, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine u so that -u**4 + 222*u**3 + 1131*u**2 + 908*u = 0.\nAnswer: -4, -1, 0, 227","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let h(g) be the first derivative of -24*g - 276 - g**2 + 2\/3*g**3. Factor h(n).\nAnswer: 2*(n - 4)*(n + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2 + 1\/((-11)\/24)?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(u) = -6*u - 2. Let l(d) = -179*d + 85*d + 88*d. Give h(l(r)).\nAnswer: 36*r - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Does 143 divide 514943?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*l**2 + 3*l**2 - 2*l**2)*(4*l**2 - 3*l**2 + 0*l**2).\nAnswer: 3*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*t + 3*l - 17 = t, -5*t - l - 1 = 0. Let q be (-630)\/2275*(-10)\/(-3). Which is greater: t or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:35 AM and 4:21 PM?\nAnswer: 526","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 3  (b) 0.153  (c) -3\/10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 10307 to the nearest integer?\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 189 a factor of 1298183?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let x(p) = p**2 + 7*p - 5. Let c be x(-8). Let o = -18 - -11. Let r be (-15)\/(-10) + (-7)\/((-14)\/(-9)). Put o, r, c in increasing order.\nAnswer: o, r, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -0.057591 - -7.558371. Let k = -31.5 - -24. Let w = m + k. Round w to four decimal places.\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 563 is divided by (-12122)\/(-66) - 6\/9.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (-3*n + 10*n - n)*(n**2 + 4*n**3 - n**2) + 0*n**4 + 0*n**4 + 4*n**4 in the form p*n**2 + c*n**3 + s + v*n + j*n**4 and give j.\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is -5616973 times 7?\nAnswer: -39318811","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let h(s) = -s + 4. Let x(z) = -8*z**2. Determine h(x(u)).\nAnswer: 8*u**2 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -1114412 + 130?\nAnswer: -1114232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let t(c) = -119*c**2 + 3*c. Let k(g) = 2*g + 169. Calculate k(t(a)).\nAnswer: -238*a**2 + 6*a + 169","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4*z - z + 5*z + 0*z + 3*z - z + (0*z + 4*z - 5*z)*(0 + 1 + 0) + 2*z + 3*z - 2*z + z + 0*z + 0*z)*((-4 + 0 + 3)*(-1 + 1 - z) - 5*z + 7*z - z).\nAnswer: 26*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -16753 - 16751 + 33504 - x.\nAnswer: -x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose o + 3 = 4*f + 14, -3*f = -o + 7. Let n = f + 1. Let p = 3.01 + -0.01. Which is the second smallest value?  (a) p  (b) n  (c) -1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1111*b - 980732 = 1125*b - 5857534. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 543 minutes after 1:56 PM?\nAnswer: 10:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 13231837 a multiple of 116?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is -3 + 2 + 3 + -13 + 8 + -11?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let j(m) = m**3 - 146*m**2 + 290*m - 151. Calculate j(144).\nAnswer: 137","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -194*o + 88*o + 41*o - 731*o.\nAnswer: -796*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 8657211 and 472864.\nAnswer: 2111","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 730790 rounded to the nearest 10000?\nAnswer: 730000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-1)\/3*6*6.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(t) = t - 4. Let p be d(1). Let h(j) = 3 - j**2 - j**2 + j + j**2. What is h(p)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 n when two letters picked without replacement from {s: 3, w: 1, n: 2, u: 1, y: 6}?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 10*m - 6*m**2 - 6*m**2 + 9*m**2 + 7*m to the form s*m + i*m**2 + v and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let f(t) = -t + 0*t + t - 7 + 2*t. Let x be f(5). Suppose -x*h + 259 = -206. What is h rounded to the nearest 10?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(n) = 122*n. Let l(x) = -x - 2*x + 0*x**2 - 2*x**2. Let k(d) = -3*d**2 - 4*d. Let y(o) = -3*k(o) + 4*l(o). Calculate i(y(r)).\nAnswer: 122*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Expand -4*s**3 + 2*s**3 + 3*s**3 + 0*s**3 - s**3 + 0*s**3 + (0 - 3 + 1)*(-4*s**3 + s**3 + 5*s**3) - 2*s**3 + 0*s**3 + 0*s**3 - 3760844 - 93*s**3 + 3760844.\nAnswer: -99*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let n be -7*(-3 + -1)*1035\/(-4). Let m = n + 13348. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 2168 and 16?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1062098856 divided by -4.\nAnswer: 265524714","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-3616)\/(-162720))\/(6\/2*1\/(-10))?\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 8281715 to the nearest integer?\nAnswer: 202","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 185719?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(114) - ((sqrt(114) + 3*sqrt(114))*5 - sqrt(114)) - sqrt(114)) + 6*sqrt(114)*2)\/((sqrt(66)*-1*1 - sqrt(66))\/((sqrt(33)\/sqrt(3) + sqrt(11))*-6)).\nAnswer: -42*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 198548*t**2 - 27858*t.\nAnswer: 397096","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1345 is divided by 35.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*s**2 - 3248535*s + 3248540 = 0 for s.\nAnswer: -649708, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.0952, 52, 0.2 in descending order.\nAnswer: 52, 0.2, 0.0952","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let l(k) = -k**2 + 17*k + 3. What is l(14)?\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 40\/(-12)*18\/(-5). Let h = 6 - u. Let g(v) = -v**3 - 6*v**2 - v - 6. Let y be g(h). Solve 0 = -i - 4 - y for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-287)\/123)\/(0 + (-2)\/6)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-13)\/10 + (3 - 12\/20 - (-581)\/(-415))?\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3300881 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Find f such that 3*f**4\/2 - 992*f**3 + 491039*f**2\/3 + 328352*f\/3 + 109561\/6 = 0.\nAnswer: -1\/3, 331","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*k + 7*k - 41 = 4*x - 53, -3*k - 9 = 4*x for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Round -2.288052167 to 4 decimal places.\nAnswer: -2.2881","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let v(z) be the first derivative of z**2\/2 + 37. Let j(q) = 10*q. Give 6*j(x) - 66*v(x).\nAnswer: -6*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let n(l) = l**3 - 2*l**2 - 21. What is n(0)?\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Add together -437633 and -27.\nAnswer: -437660","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*t = 2*t + 12. Let j be -2 - t*2\/4. Calculate the greatest common factor of j and 9.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 326 - 1070. Let q = l + 1069. What is the tens digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (-2)\/(-2) - (-6 + 3). Let c(s) = s**3 - 3*s**2 - 4*s + 2. Let k be c(j). Suppose -11 - 4 = -3*i. Put -2, i, k in descending order.\nAnswer: i, k, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*t - 43*t = 235 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is -1427 times 2.379?\nAnswer: -3394.833","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-294*88\/(-6160))\/((1*3\/(-3))\/(-5)).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 87244.4 centimeters in millimeters?\nAnswer: 872444","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (10\/15 + (-1534)\/(-12))*4. Suppose -11*f + 5*y = -12*f - 518, -f - 4*y = m. What is f rounded to the nearest 10?\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*g + h + 495, -44*g + 80 = -43*g - 4*h. Solve -g = 26*j + 30 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (2*y**3 - 2*y**3 + 3*y**3)*(3 - 3 - 2*y) + 35*y**3 - 9*y**4 - 35*y**3 in the form c + i*y**4 + h*y**2 + q*y**3 + k*y and give i.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 39622, 79275, 118928?\nAnswer: 158581","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -a (base 12) in base 5?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Express -t**2 + 0*t - 5*t + 87 - 87 in the form a*t + h + s*t**2 and give a.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (h*h**(-1\/17)*h*h\/(h**(-10)*h*h))**36\/((h\/(h\/(h*h\/((h*h**(2\/3))\/h))*h))**(-1\/20)\/((h*h\/(h*h*(h\/h**(1\/3))\/h*h*h)*h*h*h)\/h**5)) assuming h is positive.\nAnswer: h**(132679\/340)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let b(i) = -i**2 - 11*i + 2. Let r = 1582 + -1589. Let u(z) = 4*z**2 + 34*z - 7. Give r*b(q) - 2*u(q).\nAnswer: -q**2 + 9*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Put together 346.1038 and 61.\nAnswer: 407.1038","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 2660447?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -107 - -97. What is the common denominator of (-42)\/(-112)*(2 - 104\/n) and 37\/4?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -3.02 + 3. Let s = w + -2.98. Let m = 24.8 + -25. What is the closest to m in -0.5, s, 1\/2?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 148 and 1628924778?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let t(b) = b**3 + 8*b**2 - 9*b - 5. Let m(n) = -2*n**2 + n**3 + 6*n**2 - 12*n + 14*n. Let z be m(-4). What is the units digit of t(z)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -33, 4, -1, -4.\nAnswer: -33, -4, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let k(n) be the first derivative of 0*n**2 + 0*n - 5 + 1\/3*n**3. Let i(o) = -2*o**2. What is k(i(r))?\nAnswer: 4*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 20804366.\nAnswer: 2, 11, 97, 9749","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*c**4 + 3*c**4 - 4*c**4)*((-3 - 3 + 4)*(1 - 6 + 2) - 1 - 3 + 3).\nAnswer: -20*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2 - 3*z + 2)*(1 - 1 - 3*z**2)*(-1 + 0 - 3).\nAnswer: -36*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -3354 or -1?\nAnswer: -3354","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -60, -81, -118, -177, -264, -385, -546, -753?\nAnswer: -1012","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -0.6242  (b) 0.4  (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 30 + -27. Let y = 39 + l. Does 16 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(n) = -n**2 - n + 4. Let l be u(0). Let k(m) = -5089*m + l*m**2 + 5089*m. Let h(c) = 66*c. What is h(k(y))?\nAnswer: 264*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (0 - 2) + (-1 - -5) - 5.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -0.506 + 0.476. Suppose 0 = -g + 3 + 1. Suppose 0 = 4*u + g*l + 4, u - 1 = l - 2. Put u, 2\/9, q in ascending order.\nAnswer: u, q, 2\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 164, 351, 504, 605, 636, 579, 416, 129?\nAnswer: -300","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let y(o) = 7*o. Let i(l) = 20*l - 1. What is i(y(p))?\nAnswer: 140*p - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (((-3)\/(-14))\/((-95)\/665))\/5.\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand 6 - 1 - 4 + 2*x + (8*x + 6*x - 5*x)*(9 - 12 - 27 + 1 - 4 + 1 + (1 + 1 + 0)*(2 + 2 - 2) + 1 + 1 - 4).\nAnswer: -268*x + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-32)\/10*11520\/(-2048)?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -19*g + 62910 = 8*g. List the prime factors of g.\nAnswer: 2, 5, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -5 - (-8 - (2 - 4)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 9522067171 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -2\/123 + -113\/615. What is the second smallest value in 4, -7, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence xu when two letters picked without replacement from xlxuq?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*v + 20 = 3*v. Suppose -3*j - 2*t = -2*j - v, 0 = 5*j + 3*t - 41. What are the prime factors of 1\/3 + j\/6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-16)\/24*(-9)\/2. Does 5 divide (y - 4 - -1) + 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many grams are there in 21\/5 of a kilogram?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Round 4603839.14 to the nearest 100.\nAnswer: 4603800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth biggest value in -2\/7, 663, -4, 55\/486, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 550 a factor of 1828200?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 645263336?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 8 + ((-6)\/15)\/((-5)\/50). Suppose 14*m - c*m - 1226 = 0. What is the hundreds digit of m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 129563, 129444, 129327, 129212, 129099, 128988, 128879?\nAnswer: 128772","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -7086866 or -7086859?\nAnswer: -7086866","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -3 + 109b58?\nAnswer: 109b55","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 30619 is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -37*k + 5*d - 136, -636*k + 634*k - 5*d = -19 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2 + -1*sqrt(153) + -3 + (sqrt(153) + (sqrt(153) - (sqrt(153) + -2 + sqrt(153) + 2)) - sqrt(153)))**2 + 3 + 1.\nAnswer: 12*sqrt(17) + 617","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -24*h**3*p**3 + 86480*h**2*p**2 - 80*h*p**3 - h*p**2 - 2*h + 2325 wrt h.\nAnswer: -144*h*p**3 + 172960*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Sort 851, 4, -297, -0.07, 0.5 in decreasing order.\nAnswer: 851, 4, 0.5, -0.07, -297","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 1094, 2197, 3304, 4415, 5530?\nAnswer: 6649","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let h(k) = 0*k**2 + k**2 + 1 + k - 2*k. Let z(u) = -7*u**2 + 5*u - 10. Let s(x) = 5*h(x) + z(x). Differentiate s(l) with respect to l.\nAnswer: -4*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -2255 - 21356?\nAnswer: -23644","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 12*t**3 - 121*t**2 + 93*t wrt t.\nAnswer: 72*t - 242","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: 251.8 + -0.2\nAnswer: 251.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -16*5*(-27)\/405*(-2)\/(4\/6)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 10011 + 111011?\nAnswer: 1001110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -8766*o - 193 + 3108*o + 424 - 231 to the form i*o + l and give i.\nAnswer: -5658","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 7, 0.4, -0.18?\nAnswer: -0.18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 13748 and 15712.\nAnswer: 109984","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let h(t) = -t**3 + 5*t**2 - 2*t - 7. Determine h(3).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -1435 - 1?\nAnswer: -1436","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let x(n) = -2*n**2 - 2785*n - 152246. Determine x(-57).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*z - 3*s - 33 = 0, -2*z - 2*s + 10 + 4 = 0. Calculate the smallest common multiple of 8 and z.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from rfackadckac. What is prob of picking 2 c and 1 d?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -82.704 + 83.204. Let w = 0.26 - -0.04. What is the fourth biggest value in w, h, 39, 5?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from jjijuguguiujuuuigg. What is prob of sequence jg?\nAnswer: 8\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let j(y) = -3*y**2 + 23*y. Let g be j(7). Calculate the highest common factor of g and 56.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (685\/1507)\/((-30)\/(-96)*4).\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((w\/(w\/(w\/(w\/(w**(1\/12)*w*w)*w*w))*w))\/w**(1\/15))\/(w\/(w*w**(-10\/9))*(w**(-1)*w)\/w) assuming w is positive.\nAnswer: w**(-197\/180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1\/5 in 713\/13, 0.1, -1\/3, -0.4?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let j(w) = -18*w. Let b(t) = -260*t**2. Calculate b(j(q)).\nAnswer: -84240*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -39103 + -0.07.\nAnswer: -39103.07","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Divide 1528 by 6.\nAnswer: 764\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -485 + 495. Suppose i*k = 41*k - 248. What is the remainder when 35 is divided by k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of 13, -66, -213, -422, -687, -1002?\n\"Answer: x**3 - 40*x**2 + 34*x + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 12 a factor of 59171?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let z(m) be the second derivative of -m**5\/70 + 5*m**4\/42 + 25*m**3\/21 - 125*m**2\/7 + 483*m. Factor z(q).\nAnswer: -2*(q - 5)**2*(q + 5)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1533 = 133*x + 1726 + 2334 for x.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -124264 in 1, -2\/137, 4, -1, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*o = 36*o + 2000. Let w(r) = 6*r**3 - r**2 - 2*r - 1. Let s be w(-2). Which is smaller: s or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 4  (b) -2  (c) -378\/19  (d) 0.1  (e) 0.04\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Put 13, -3, -4, -7, 1 in decreasing order.\nAnswer: 13, 1, -3, -4, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 3.5 minus 67278511?\nAnswer: -67278507.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 467531 (base 8) in base 13?\nAnswer: 57832","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 585 + 81 = 9*i. Calculate the remainder when 174 is divided by i.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(t) = -7*t**5 - 9*t**4 + 5*t**3 - t**2 + 7*t + 5. Let c(v) = -6*v**5 - 8*v**4 + 4*v**3 + 6*v + 4. Let u(b) = 5*c(b) - 4*j(b). Factor u(a).\nAnswer: -2*a*(a - 1)*(a + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 29.80922 decades to months.\nAnswer: 3577.1064","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: 18 + -49\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 127821?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 463*v + 464*v - 1 - 1458*v + 332*v.\nAnswer: -199*v - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of 22023, 87896, 197623, 351204, 548639?\n\"Answer: 21927*y**2 + 92*y + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 11 = -3*q + j - 5*j, -5 = j. Suppose -18 = c + l - 8, 3*l + 15 = -2*c. Put c, 5, q in increasing order.\nAnswer: c, q, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -7 + 40. Let a = 32.6885 - 0.0885. Let r = g - a. Put -8, -2\/13, r in decreasing order.\nAnswer: r, -2\/13, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -0.06 - -0.1. Let a = 8.1 + -8.17. Let y = a + u. Which is smaller: -0.1 or y?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of (-10)\/(-55) + (-93)\/(-33) and 30.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 40993?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {e: 5, p: 5, d: 2, s: 3}. Give prob of sequence ds.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 2617051 (base 10) in base 5?\nAnswer: 1132221201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -2*(-1*13\/((-91)\/14))\/((-20)\/10).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 6, 35, 68, 105, 146, 191, 240?\nAnswer: 293","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1?  (a) -0.5  (b) 0  (c) 25  (d) -251\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Express -12*h + 0*h + 5*h as w*h + d and give w.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((q*q*q*q**(-1)*q*q)**(-8\/7)\/((q\/(q*q\/(q*q**(3\/8))))\/((q\/q**(5\/7))\/q)))**(-32))**37 assuming q is positive.\nAnswer: q**(46916\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 360\/(-150)*(-550)\/30. Suppose 3*c + 10 = -2*z, 0*z = -z - c - 4. Let t(q) = -22*q - 1. Let o be t(z). Which is greater: k or o?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 110000 (base 2) to base 13.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -2 - (((-22)\/297 - (-15498)\/(-7290)) + 27\/185)?\nAnswer: 2\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Find w such that 14970*w**2 + 7175*w + 780 = 0.\nAnswer: -156\/499, -1\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 1696 and 48?\nAnswer: 5088","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Product of 6577 and -0.13.\nAnswer: -855.01","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 6\/6*-3*(-2)\/2?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -44084 divided by 76.\nAnswer: -11021\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Round -88200 to the nearest ten thousand.\nAnswer: -90000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 320419542.\nAnswer: 2, 3, 53403257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let a(z) = -4920*z. Let q(x) = 217*x. Let d(o) = -6*a(o) - 136*q(o). Let y(p) be the third derivative of -p**4\/12 + p**2. What is d(y(n))?\nAnswer: -16*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Find h such that -5*h**2\/4 + 227245*h\/4 - 454410 = 0.\nAnswer: 8, 45441","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -1 - -2. Find n such that 2*n**2 - n**5 + 17*n - f + 1 - 16*n - 2*n**4 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many grams are there in one tenth of a tonne?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 214308036 to the power of 1\/3, to the nearest integer?\nAnswer: 598","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 6579 and 5?\nAnswer: 32895","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.02962015 - 53.37313?\nAnswer: -53.34350985","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 2 + (5 - 1 - 3). Sort -2, j, -1\/5.\nAnswer: -2, -1\/5, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 5b86 - -3?\nAnswer: 5b89","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -1\/9984154 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 r when two letters picked without replacement from {r: 18, m: 1}.\nAnswer: 17\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 19\/4585 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -15 - 13. Let b = t + 45. What is the remainder when b is divided by 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(t) = -t - 3. Let z be o(-8). Suppose 3*x - z*s - 19 = 0, -4*x = 3*s - 4 - 2. Let v(i) = 1 + x*i - 1. Let y(g) = -2*g**2. Calculate v(y(q)).\nAnswer: -6*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -5 divided by -13.\nAnswer: 5\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Factor 5*s**2 + 255105*s + 134300740.\nAnswer: 5*(s + 532)*(s + 50489)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1 in 35, 2, 25\/4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 372429?\nAnswer: 3, 41381","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-4 + 6 - (3 + -3) - (200 + -217)) + -11.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -16*u = -12*u + 8. Is u smaller than -5\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(g) = -g. Let u be (-5)\/2 - 4\/8. Let d(w) = -2*w - 4. Let h be d(u). Let j(i) = -7*i**2 + 4*i**h + 2*i**2. Give j(p(v)).\nAnswer: -v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence wyy when three letters picked without replacement from wwdwydydddyy?\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 102*v - 104*v = -8. Solve -v*s - 5*a + 2 = 0, 2*s + a + 0 = 4 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -2479 and 5.\nAnswer: -12395","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1599960?\nAnswer: 2, 3, 5, 67, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.001483 to 4 dps.\nAnswer: -0.0015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -0.7951 or -0.1?\nAnswer: -0.7951","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Determine s so that 5*s**4 + 18020*s**3 + 6775815*s**2 + 684564840*s + 1993198320 = 0.\nAnswer: -3193, -204, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1 = -4*x - 5. Let b = x + 3. Suppose -b*l - 2*l + 136 = 0. Is l a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(y) = -y**3 + 4*y**2 + 12*y. Let t be o(6). Suppose h + h - 114 = t. What is the units digit of h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (1 - -1) + (-88)\/(-2). Suppose 0 = 38*y - 1768 - 2602. Calculate the greatest common factor of i and y.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be ((-48)\/20)\/(-4*6\/2560). Suppose -o*h + 260*h = 4572. What is the thousands digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: 1 (base 12) to base 6\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let z(y) = -y**2 + 100*y + 6377. Give z(-43).\nAnswer: 228","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 1140851?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let t(u) = 4*u**3 - 18*u**2 - 35*u + 30. What is the remainder when 1403 is divided by t(6)?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 861.13935ms to days.\nAnswer: 0.000009966890625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4*s + 0*s + s)*(-27 + 1 + 0)*(2*s**2 + 2*s**4 - 2*s**2).\nAnswer: 156*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 3.029 rounded to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*c + 2 = 106. Let f be (c\/(-208))\/(2\/36). Are f and -0.1 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1833518*q + 611173*q + 611178*q + 611170*q.\nAnswer: 3*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let v(g) be the second derivative of 7*g**4\/66 + 4699*g**3\/33 + 122*g**2 + 2*g - 820. Factor v(q).\nAnswer: 2*(q + 671)*(7*q + 2)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*t + 26 = -25. What is the greatest common factor of t and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*c - 32 = -c. Let o(v) = -9*v. Let f(d) be the first derivative of 23*d**2 - 1105. Calculate c*o(l) - 3*f(l).\nAnswer: 6*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2, -0.8, 1, -5 in descending order.\nAnswer: 2, 1, -0.8, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Determine h so that -8*h**2 + 23\/4*h**3 + 0 + 3*h - 3\/4*h**4 = 0.\nAnswer: 0, 2\/3, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(x) = 12*x - 14. Let t be n(1). Is t > 10?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -35*p**3 + 34310*p**2 - 8413300*p + 2401000.\nAnswer: -5*(p - 490)**2*(7*p - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 55 - 58.1. Let p be (44\/(-13))\/(-11)*(-143)\/(-154). Which is the smallest value?  (a) k  (b) -3  (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 8462.967 months in years?\nAnswer: 705.24725","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 207734 - 207932 = 33*l for l.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -t**4\/4 + 19*t**3\/2 + 463*t**2\/4 + 202*t + 96 = 0.\nAnswer: -8, -1, 48","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.021314347 to 4 dps.\nAnswer: 0.0213","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:06 AM and 7:31 PM?\nAnswer: 685","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of 39, 36, 33, 30, 27?\n\"Answer: -3*v + 42","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*s + 814 = 4*j + 10*s, 2*s = j - 210. What is the units digit of j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 7 + -3. Suppose 396 = k*f - m, -f = 3*m + 7 - 106. What is the tens digit of f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*y - 537 = -0*n + n, -n = 3*y + 403. What is the tens digit of (13 + -9)\/((-1)\/y)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*b = 2*p + 26, 6*b - 3*b - 5*p = 19. Sort b, 2, -5, -16.\nAnswer: -16, -5, b, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4 + (sqrt(117)*1*-4*-5*-2)\/(-1*-1*sqrt(225)*5).\nAnswer: -8*sqrt(13)\/5 - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (2 + -16 + 28)\/(15\/(30\/(-4))).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 6\/6 + (-2)\/4*6. Let i(s) = -391*s - 13. Is i(r) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 26 and 60086?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*x = -7*x - 25, -2*x = 3*p - 149. Let z be (-3)\/(-81)*(-3885)\/p. Let t = z + -10\/159. Find the common denominator of t and 69\/10.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) -2\/17  (b) 0.434  (c) -5  (d) 0.2  (e) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(204) + (6*(sqrt(204) + sqrt(204)*5) - sqrt(204)))\/sqrt(12) + sqrt(204)\/(sqrt(1452)*3))**2.\nAnswer: 24033257\/1089","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*i = -p + 39, -p - 14 = i - 5. Let a be (6\/8)\/((-3)\/i). Suppose -4*l + a*l = -6. Solve -d - 20 = -l*d for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of -2933, -782, 2791, 7786, 14203?\n\"Answer: 711*t**2 + 18*t - 3662","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -6289834714*r + 13*r**3 + 6289834714*r.\nAnswer: 13*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of 31, 35, 5, -59, -157, -289?\n\"Answer: -17*g**2 + 55*g - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 8*c**3 + 531 - 531.\nAnswer: 8*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 3 and 145*(-1)\/(2*4\/(-24))?\nAnswer: 435","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be ((-4)\/(-3))\/(-4) - 100\/(-228). Suppose 2*i - 16 + 2 = 0. Let f be 21\/i + -5*1. What is the second biggest value in -0.1, f, t?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4*v**2 - 85216*v - 453860416.\nAnswer: -4*(v + 10652)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let g(b) = -b**3 + b**2 + 5*b + 6. Suppose 29*t = 28*t - 2. Determine g(t).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -1\/5, -1, 859, 2\/19?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: -8 - (3 + -4) - (3 - 7)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 16*n**4 - 1084*n**2 + 11*n + 1309?\nAnswer: 192*n**2 - 2168","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 2 - (-3 - -4) - 6?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 25 (base 8) to base 2\nAnswer: 10101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 25834.94ng in micrograms?\nAnswer: 25.83494","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -3950 or -3967?\nAnswer: -3967","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve 33*w + 16 = 2*m + 31*w, -4*m + 3*w + 28 = 0 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -30*d**2 + 13*d**3 - 27*d**3 + 13*d**3 wrt d.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 17*q**2 - 6*q**2 + 119*q**2.\nAnswer: 130*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of 238, 236, 234, 232?\n\"Answer: -2*p + 240","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2636952?\nAnswer: 2, 3, 109873","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 1 divided by -442?\nAnswer: -1\/442","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let y(o) = o**3 + 6*o**2 + o. Suppose 0 = -12*g + 8*g + 40. Let j be (-17 + 16)\/((g\/(-12))\/(-5)). Give y(j).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: -23 (base 10) to base 15\nAnswer: -18","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 2\/5?  (a) 40  (b) -3\/8  (c) -43\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let w(a) = -a**2 + 6*a - 4. Let o = -81 - -86. Calculate w(o).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of ((-6)\/(-10))\/(132\/(-1166)) and -31\/276?\nAnswer: 1380","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 8808.274 years in millennia?\nAnswer: 8.808274","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.5*0.485.\nAnswer: 0.2425","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 1 + (4 - 2) - (-33 - (64 - 138)).\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose r - 3*n = -2*n + 1, -5 = -5*r - 5*n. Does r = -2\/911?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-2920)\/16 + 1\/2. Let a = -47 - f. Suppose 3*m - 423 = 3*v, 5*m = 4*m + 3*v + a. Is 26 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 2*i**2*l*y**3 - i**2*l*y + i**2*y - 243829*l*y**3 - 18541*l*y**2 wrt y?\nAnswer: 12*i**2*l - 1462974*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-3 + 0 + 6)*(18 + 5 - 6)*(0*b - 3*b + 4*b) to i + l*b and give l.\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: -70119 - 24567.8144\nAnswer: -94686.8144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Sort 65, 1, -50, -4, -6, 2.\nAnswer: -50, -6, -4, 1, 2, 65","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let o be ((-6)\/20)\/(4\/5). Let u be (-3620)\/7602 - 3\/2*8\/(-21). Let j = -0.2 + 0.3. Which is the nearest to j?  (a) -0.4  (b) o  (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -138869933 plus 4?\nAnswer: -138869929","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 8*(-6 - 285\/(-40)). Let i(z) = z + 5. Let y be i(-4). Solve 3*t - g = 3*m, t - 6 + y = -m for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of 490, -653, -2558, -5225, -8654, -12845?\n\"Answer: -381*f**2 + 871","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let c(n) = 9*n**3 + 5*n**2 + 7*n + 5. Let a(i) = 9*i**3 + 4*i**2 + 6*i + 4. Give 5*a(u) - 4*c(u).\nAnswer: 9*u**3 + 2*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 1705622603 to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 11 a factor of 122298?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 n and 1 z when four letters picked without replacement from {z: 1, s: 1, o: 2, n: 3}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 16958.36 - 16960. Which is smaller: -1\/47 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1391 to the power of 1\/2, to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 6688*i**6 - 12709*i**4 + 73726*i**2 + 2773*i.\nAnswer: 802560*i**3 - 305016*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: (-2)\/(4\/(-6))*((-220)\/33 + 13)\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 911977?\nAnswer: 11, 7537","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 698?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (r**(-5)*r**(4\/3))\/((r*r**(1\/9)*r)\/((r**(-4)\/r*r*r*r)\/r)) assuming r is positive.\nAnswer: r**(-79\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 11248\/3 - 7629894\/2035. Let q be 3\/12 + 101746\/(-12210). Let z = x + q. What is the common denominator of z and -11\/18?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from tnpefre. What is prob of sequence epr?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Round -4300.89 to the nearest ten.\nAnswer: -4300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 4165473849?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let r be -3 - 3 - (1 - 11). Let t(h) be the first derivative of -1\/2*h**2 + r - 4*h. Differentiate t(b) wrt b.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 20388.7415 rounded to the nearest ten?\nAnswer: 20390","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (27\/(-57))\/(-1*(-207)\/69)?\nAnswer: -3\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 0.4 - 0.619\nAnswer: -0.219","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 2\/(-15) - (-2)\/15. Let q(z) be the first derivative of 5 + 0*z**4 + 6\/5*z**5 + 0*z**3 + l*z + 1\/2*z**2. What is the second derivative of q(c) wrt c?\nAnswer: 72*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*z = 3*l - 1096 - 485, 2*l - z = 1055. Does 66 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1683114547?\nAnswer: 113, 14894819","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 145829 is divided by 2604.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 709 minutes before 3:13 PM?\nAnswer: 3:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose n + 5*x - 43 - 80 = 0, x = -n + 139. What are the prime factors of n?\nAnswer: 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1164 - 379 = 5*i. Let j = i - 88. List the prime factors of j.\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is b - 69b?\nAnswer: -690","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -197 + 210. Suppose -x - 4*u + 133 + 711 = 0, -3*x - 2*u = -2502. What is the greatest common divisor of x and p?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3, -28, -39 in decreasing order.\nAnswer: -3, -28, -39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let y(o) = -o + 8. Let n be y(6). Let q(s) be the first derivative of s - 2 + s**n + 2*s - 2*s. Give q(-3).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (142*f + 7*f**2 - 142*f)*(2 - 6 + 2)*(2*f + 0*f + 0*f) to the form k*f**3 + c + b*f**2 + z*f and give k.\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -8 + 0. Is r > -7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*r - n - 391, 2*r - 4*n - 36 = 124. What is the units digit of r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 13 + -24. Let f(b) be the second derivative of -5\/3*b**3 + 4\/3*b**4 + 0 - 1\/2*b**2 - 25*b. Let j(t) = 3*t**2 - 2*t. Calculate r*j(y) + 2*f(y).\nAnswer: -y**2 + 2*y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let j(p) be the third derivative of -p**6\/360 - p**5\/24 - p**4\/8 + p**3\/6 + p**2. Let x(l) be the first derivative of j(l). Suppose 17 - 47 = 6*o. What is x(o)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (z**(-2)*z**(7\/5))**5 assuming z is positive.\nAnswer: z**(-3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve -10\/9*x**2 + 37\/9*x - 1\/9*x**3 - 26\/9 = 0.\nAnswer: -13, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(j) = 14*j - 2. Let d(n) = n**2 + 21*n + 1. Let c be d(-21). What is the remainder when 25 is divided by u(c)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 52*s - 2963 = 48*s - 3*m, -2221 = -3*s - m. What is the smallest common multiple of s and 1?\nAnswer: 740","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -171, -2327, -8455, -20541, -40571?\nAnswer: -70531","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let n(h) be the first derivative of h**2\/2 + 10*h - 1. Suppose f = -3*c - 8 - 0, 4*f + 32 = -c. What is the units digit of n(f)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 98 + -97.8. Which is the closest to v?  (a) -0.3  (b) 2\/7  (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -5 minus 622?\nAnswer: -627","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let n(b) be the first derivative of b**2 - 2*b - 8. Let q be n(1). Solve u + 0 + 1 = q for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 13870 - -12681. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 59418 = 3*o + 24*n - 21*n, 79242 = 4*o - 5*n. Does 16 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(v) be the third derivative of -1\/540*v**6 + 0*v + 0 + 0*v**3 - 1\/270*v**5 + 0*v**4 + v**2. Factor t(r).\nAnswer: -2*r**2*(r + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in -0.2, -1\/6, -32, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -29*x - 1079 = -110*x + 541 for x.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -44 - -49. Solve h - 2*h - 11 = l*i, h = -i + 1 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 4942687 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Express 6*l**4 - 2*l**4 - 3*l**4 + (-7*l**2 + 2*l**3 + 7*l**2)*(-2*l + 3*l + 0*l) as p*l**4 + n*l + i + t*l**2 + w*l**3 and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let k be -4*1 - (-3 - -3). What is the tens digit of (-4)\/k + (21 - 1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 4905 and 17767.\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Put -5, 713, -37, 2 in increasing order.\nAnswer: -37, -5, 2, 713","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from hthht. What is prob of sequence tt?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -61.42 - -73.5. Let z = 12 - q. What is the second biggest value in -1\/6, z, -1, 0.3?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -q + 0 = 5, -5*p = q - 5. Solve 0 = -p*a + 5*a + 15 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(d) be the third derivative of d**5\/60 + d**4\/3 - d**3\/2 + 8*d**2. Is p(-11) a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 8 by -210.\nAnswer: -4\/105","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*t - 4 = t. Suppose 2*y - 3 = 1. Let r(u) = -4*u**2 - y*u**t + 4*u**2. Let d(c) = 2*c. Calculate r(d(l)).\nAnswer: -8*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let b(l) = -l**3 - 4*l**2 - 6*l. Let f be b(-3). Suppose -19*h + 16*h = f. Let a(s) = -s - 3. Give a(h).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose s - 5 = -3. Suppose -i + 3*b - 14 = 0, 3*i + s*i + b + 6 = 0. Let o be -9 + -1*128\/120*-6. Is o <= i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(u) = -3*u**2 + 8*u + 3. Let s(x) = -13*x**2 + 33*x + 12. Let b(l) = -9*o(l) + 2*s(l). Let q be b(8). What is the highest common factor of 52 and q?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: (48\/14 + -3)\/(125\/175)\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of -200218, -800187, -1800134, -3200059, -4999962?\n\"Answer: -199989*j**2 - 2*j - 227","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((w*w**(-2)*w*(w\/(w*w\/(w*w*w*w**(1\/8)))*w)\/w)**37)**(2\/47) assuming w is positive.\nAnswer: w**(629\/188)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 11 - 6. Suppose -z*m + 6 = -4*m. Let r(s) = -s**3 - 8*s**2 - 7 + 2*s**2 + 2*s**3 + 9 - 3*s. Calculate r(m).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-7 - -9) + 15 + (-121 - -217)\nAnswer: 113","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 93884644211 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve 24 = -4*h + 6*i, -38732*h - 9 = -38731*h - 3*i for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ilmikaiikiak. What is prob of picking 2 i?\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Expand -v**4 - 2*v + 2*v + (v - 3*v + 0*v)*(4*v**3 - 5*v**3 + 0*v**3) - 468606*v**2 - 2*v + 468606*v**2 - 693*v**4.\nAnswer: -692*v**4 - 2*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.059296663 + 0.3?\nAnswer: 0.240703337","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 629197 is divided by 100.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let h(t) = 4*t + 8. Let c(f) = -3*f. Determine c(h(y)).\nAnswer: -12*y - 24","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -16\/7 in 5\/3, 0.11, -40\/21?\nAnswer: -40\/21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 81 and 79911?\nAnswer: 719199","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 58991 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve -79*n + 800 + 750 = 523 for n.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let p(b) = 151*b**2. Let w(k) = 1723609*k**2. Determine p(w(g)).\nAnswer: 448595025717031*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let n(f) = 3284859*f. Let u(g) = -4*g. Determine n(u(q)).\nAnswer: -13139436*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*z + 0*z - 12 = -y, -3*y = 3*z + 24 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 88*b**2 - 57*b**6 + 86*b**4 + 55*b**6 + 0*b**2 + 83*b**4 wrt b?\nAnswer: -240*b**3 + 4056*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 647 a factor of 11318618?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 8879 + -5915. Suppose d = -5*r + 17*r. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-1)\/35*(-36)\/18.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: -0.046498*1.4\nAnswer: -0.0650972","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -c + -5?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -4\/89, 2\/5, -2.9, -108?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -8 - -8.16. Let t = 0.04 + v. What is the third smallest value in t, -0.1, -5?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -9\/11 or -2?\nAnswer: -9\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3 + (-3*sqrt(405)*-2*-6)**2 + 3 + -2 + (sqrt(405)*-1 + -2 - sqrt(405)).\nAnswer: -18*sqrt(5) + 524882","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*a = 9, 5*n + 0*n + 2*a = 14. Suppose 4*o = 5*h - 23 - 58, 4*o + 64 = 4*h. Solve -w = m - 4, 3*w + 5 = n*m + h for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*k**2\/5 + 66304*k\/5 + 2117632\/5 = 0 for k.\nAnswer: -16544, -32","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 204 minutes before 11:24 AM?\nAnswer: 8:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Convert 51.8506m to micrometers.\nAnswer: 51850600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 23 + 17 = 2*u. Let z be u\/(-6)*(-6)\/4. Solve n = z*n + 8 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 6399469 and 72791?\nAnswer: 877","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is (3*1 - 36\/15)*-5?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(h) = -4*h + 2. Let a(m) = -m**3 + 12*m**2 - 12*m + 1. Let z(s) = 3*s + 5. Let q be z(2). Let u be a(q). What are the prime factors of o(u)?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: 510*-11.4\nAnswer: -5814","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*y - 4*v - 4 = 0, 38*v = 3*y + 33*v - 3 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 5 + (-7)\/1 + (-4 - -704)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (l*l**1)**(2\/57)\/((l\/l**(1\/4))\/l)**1*(l**(-6)\/(l*(l*l\/(l\/l**(3\/5))*l)\/l*l))**(-22) assuming l is positive.\nAnswer: l**(241133\/1140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -8*b**3 - 130*b**2 + 130*b**2.\nAnswer: -8*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 688307828?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 2663244526 - -1?\nAnswer: 2663244530","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*l + 172 = 5*t, -3*t + t - l = -61. Let z(w) = -w**3 + 30*w**2 + 66*w - 61. Let m be z(t). Solve -3*x + q - 3 = 0, 0 = -4*x + 2*q - m - 1 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-34170 + 34170 + 1559*h)*(0 + 0 + 2*h) + (0*h + 0*h - 2*h)*(3*h + 0*h + 2*h) to k*h**2 + x*h + y and give k.\nAnswer: 3108","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (7\/(-14))\/((-4)\/(-8)) + 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 15\/(-9 - (-882)\/96). Suppose -3*g + 0 = 12, -4*y + 2*g = -40. Calculate the greatest common divisor of y and l.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 1.72, -1\/4, 0.115322?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of ((-165)\/(-22) - (6 - 0))\/(6\/6508)?\nAnswer: 1627","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"}
{"text":"Question: Let u(i) = -3*i**2 + 3583*i + 87707. Determine u(-24).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 10.05 - 10. Let w = 0.01 + y. Let u = w + 2.94. What is the second smallest value in 5, -4\/7, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 5269 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 2228 and 84107.\nAnswer: 557","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 6348 divided by 138.\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 41?  (a) -160344  (b) 1  (c) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let n(g) = 546*g - 549*g + 2*g**2 - 2*g**3 + g**2 - g**2 + 4. Give n(3).\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 96 and 132.\nAnswer: 1056","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -46926 + 46937. Calculate the remainder when (-686)\/(-9) - (-4)\/(-18) is divided by v.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 131.68 - 129. What is n rounded to 1 decimal place?\nAnswer: 2.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(h) = -15*h. Let c(o) be the second derivative of -7*o**3\/6 - 5*o. What is -9*c(m) + 4*n(m)?\nAnswer: 3*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 266 minutes before 6:28 AM?\nAnswer: 2:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let l(v) = 2*v**2. Let n(z) be the first derivative of -z**4\/4 - 2*z**2 + 1. Let d(k) be the second derivative of n(k). Give d(l(c)).\nAnswer: -12*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 383797?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is -5580 divided by 5?\nAnswer: -1116","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 6?  (a) -0.5  (b) 5  (c) 777\/361\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 217976 - 71869. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (5*(-6)\/(-225))\/(28*3\/(-60))?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (g**(5\/3)*g*g**(-1)*g*((g**(-1)\/g)\/g)**26)\/((g**(-2\/9)\/g)\/g*g*g\/g**(2\/11)*g*g**(2\/11)*g**(-2\/3)*g) assuming g is positive.\nAnswer: g**(-688\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 30328658?\nAnswer: 2, 317, 47837","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2 + (4 + (sqrt(1300) + ((sqrt(1300) - (1 + sqrt(1300)))*1 - sqrt(1300)) - -4*(0 + sqrt(1300))) + 4 + 2)**2.\nAnswer: 720*sqrt(13) + 20883","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0051980612 to 3 decimal places.\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let z(o) = -413*o + 30. Let t(m) = 29323*m - 2124. What is -5*t(v) - 354*z(v)?\nAnswer: -413*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (6\/((-18)\/1))\/((-1)\/(-7)).\nAnswer: -7\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -16*i*t**3 - 33*i*u**3 - t**3 - 2*t**2*u**3 + 3*t*u**2 - 113 wrt i?\nAnswer: -16*t**3 - 33*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0 (base 5) to base 4.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1*6*(-1 + sqrt(175)).\nAnswer: -30*sqrt(7) + 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let v(z) = z**3 - 36*z**2 - 6*z + 220. Let n be v(36). Suppose 4*g - 20 = -2*c, -3*g + 16 - 1 = -3*c. Put n, c, 27 in increasing order.\nAnswer: c, n, 27","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -163, 5, 4 in descending order.\nAnswer: 5, 4, -163","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*y - 115 = -5*d + 8*y, 2*y - 104 = -4*d. Let q(k) = -k**3 - 17*k**2 + 22*k + 93. Let h be q(-18). Solve h*x - d = 26*x for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 4 r when four letters picked without replacement from rrrrr.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let f(a) = -a. Let y be ((-24)\/(-18))\/(1\/1 - (-50)\/(-90)). Calculate f(y).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"}
{"text":"Question: What is next in 11652, 23342, 35066, 46824, 58616, 70442?\nAnswer: 82302","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 2203682*h**2 - 1327*h - 44.\nAnswer: 4407364","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 282156 and 368.\nAnswer: 25958352","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-4*-2*sqrt(18)*-3)\/((sqrt(6534) - sqrt(54))*3).\nAnswer: -4*sqrt(3)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from ihhiiioihhiiiiiiohi. Give prob of picking 2 h and 2 i.\nAnswer: 55\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -1100111 - -1000?\nAnswer: -1011111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2 - 1 + 4)*(0*a + 0*a - a)*(-20*a - 48*a - 54*a).\nAnswer: 122*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of (-3605)\/60*(-8)\/(-336) and -91\/44.\nAnswer: 792","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(s) = 2*s**2 - 2*s - 37. Is q(-7) a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 0.8 + -0.65. Let v = 225 + -224.15. Let s = i + v. What is the second biggest value in 1\/3, -1\/2, s?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 234 and 130032?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let d(n) be the third derivative of -n**4\/24 + 7*n**3\/2 - 101*n**2. What is d(9)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (159950\/(-2742))\/(10\/12)?\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3, -4\/13, -1\/8, -436\/47 in increasing order.\nAnswer: -436\/47, -3, -4\/13, -1\/8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from uuuuuuuufuffuuufuuuf. What is prob of sequence fu?\nAnswer: 15\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: -2281 (base 9) to base 6\nAnswer: -11501","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2\/15, -5, 1, -14059, -4\/9, 3 in decreasing order.\nAnswer: 3, 1, -2\/15, -4\/9, -5, -14059","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -6 + 0 + 6 - (1 - 0).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 2*a*d**3 - 113536*a*d**2 - 3*a*w - 4*d**3*w**2 - 124481*d**3*w - 2*d wrt w.\nAnswer: -3*a - 8*d**3*w - 124481*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Put -24\/11, 1, -2\/19 in increasing order.\nAnswer: -24\/11, -2\/19, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -1687*b + 1692*b + 35 for b.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is -1 (base 12) in base 14?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let o(k) = -k**3 + 20*k**2 + 21*k + 23. Calculate the remainder when 204 is divided by o(21).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-61)\/(-7) + 6\/21. Suppose -4*z - k = 3. Let v(x) = x**2 - x - 1. Let q(g) = -14*g**2 + 8*g + 12. Let n(m) = q(m) + 12*v(m). Determine n(z).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((2*sqrt(22)*5)\/sqrt(2))**2 + (sqrt(22)\/(sqrt(4)\/sqrt(2)) - ((1*sqrt(99))**2 - sqrt(11))).\nAnswer: 2*sqrt(11) + 1001","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(405)*1 - -3*(sqrt(5)*-2 + sqrt(5) - sqrt(5))) + sqrt(35)\/(sqrt(63)\/sqrt(144)).\nAnswer: 7*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let o(u) be the third derivative of -u**7\/70 + 3*u**6\/20 - u**5\/5 - 3*u**4\/4 + 5*u**3\/2 - 18*u**2. Suppose o(q) = 0. What is q?\nAnswer: -1, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (n**12*n*n**16*n)**31 assuming n is positive.\nAnswer: n**930","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 14*g - 8*g - 474. What is the tens digit of g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -26\/1873 + -180277\/101142. Find the common denominator of 31\/54 and v.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 5 - 8. Let h = -43 + 259\/6. What is the second smallest value in 5\/2, h, c?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(r) = -2*r**3 - 4*r + 4. Let h be k(1). Which is the closest to h?  (a) -7\/2  (b) -2  (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(f) = -44*f + 6 + 5 + 45*f - 7. Let x be v(-15). Let j = 14 + x. Solve -u + 6*u = j*k + 35, -4*u + 26 = -2*k for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 90 and 228?\nAnswer: 3420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 2.040928 + -0.039228. Let g = f + -0.0017. Which is the nearest to 2\/5?  (a) g  (b) 3\/2  (c) -8  (d) -2\/15\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -35562 = -4*m - 154*m + 16262. What is the remainder when m is divided by 168?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(u) = -u**3 - 22*u**2 - u - 20. Let d be w(-22). Let g be d\/(-2*6\/(-384)). What is the highest common divisor of 24 and g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 51\/892 and -117\/100.\nAnswer: 22300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let i(b) be the second derivative of -b**4\/12 + 7*b**3\/6 + 5*b**2\/2 - 3*b. Let t be i(6). What is the tens digit of 9 + t - (-4 + 1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (2\/(-9))\/(26\/39).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 52159 is divided by 44?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-5 + (sqrt(110)\/sqrt(90) + 0 - ((sqrt(891) + -1)*2 - sqrt(891))))**2*4.\nAnswer: 208*sqrt(11) + 30068\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -7*w + 4*w + 15. Suppose w*j + 8 = 7*j. Suppose -2*d = -v - 19, -44 - 3 = -5*d + 3*v. What is the remainder when d is divided by j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (h**(-1\/6))**(-3\/4)*((h\/h**(-7\/6))\/h*h*h)\/(h\/h**(-9)) assuming h is positive.\nAnswer: h**(-161\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 155643 is divided by 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence btc when three letters picked without replacement from {l: 1, r: 1, c: 2, b: 6, t: 2}?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -43.3977 + 126.405. Let o = d + -83. What is o rounded to 3 decimal places?\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (-3 + 1 - 2)*(x**2 + x**2 - x**2) - 2 + 2 - 4*x**2 - 2 as q*x**2 + j*x + a and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -13*l**4 + 2494*l - 2494*l - 13 wrt l.\nAnswer: -52*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(s) = 5*s**2 + 84*s - 122. Determine n(-21).\nAnswer: 319","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*b + 8*n - 17 = 3*n, 2*b - 12 = -4*n for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*i - 4*i = 5*g - 2467, 3*i + 3*g - 1848 = 0. Let q = i + -625. Sort 0, -5, -13, q in increasing order.\nAnswer: -13, q, -5, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 25842 and 73.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 29237 and 26.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let n(k) = k - 1. Let u(a) = 7*a - 3. Suppose -m - 4*d + 11 = 0, -m + 64*d - 1 = 65*d. Determine m*n(h) + u(h).\nAnswer: 2*h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 231 minutes before 2:25 PM?\nAnswer: 10:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let j(p) be the third derivative of -9*p**4\/4 + 35*p**3\/3 + p**2 + 75*p. What is the first derivative of j(v) wrt v?\nAnswer: -54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 6 - 3. What is the second derivative of b*w**2 + 2*w - 3*w**2 - w**3 wrt w?\nAnswer: -6*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(t) = 2*t. Let r(l) = 4*l**2 - 18*l + 18*l. What is r(p(i))?\nAnswer: 16*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Sort -27759, -2\/23, -1 in increasing order.\nAnswer: -27759, -1, -2\/23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*a - 123 = -0*a - 3*w, -4*a - w + 241 = 0. Is (-8)\/(-10) + 8652\/a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5 = -6*d + d, -2*f - 5*d - 1 = 0. Let z = -14 + 15. Let s = 163\/6 - 27. What is the nearest to f in -0.1, s, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 265 + -301399?\nAnswer: -301134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (-220692999)\/11 - (7 + 15\/((-1485)\/684)). Round a to the nearest 100000.\nAnswer: -20100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 784 and 154653016.\nAnswer: 392","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 5 + 97*((-4)\/6)\/(12\/(-234)) a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-6)\/(-10 + 3 + 4). Suppose 9*a - 3*j = 12*a - 27, 2*a - 2*j + h = 0. Solve 0 = 2*y + 2*b + 4, a*b - 3*b - 4 = 2*y for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2*sqrt(152)\/sqrt(8) + ((sqrt(19) - (sqrt(931) + sqrt(19))) + -3)**2.\nAnswer: 40*sqrt(19) + 940","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (8*-1)\/(-5*560\/10850).\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -21 + 31. Let x be 4\/s - 24\/(-15). Let h(b) = 3*b + 0*b**2 + 0*b - 4*b + 2*b**x - 4. Let u(y) = -1. What is -h(n) + 4*u(n)?\nAnswer: -2*n**2 + n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve -33 = w - 677*s + 680*s, 3*w - 4*w + 750 = -38*s - 46*s for w.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -361?  (a) 6  (b) 5  (c) -0.905  (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -842486*w**3 + 37003*w + 2.\nAnswer: -5054916*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 838, 1805, 2772, 3739, 4706, 5673?\nAnswer: 6640","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(95) + sqrt(95) + 6*1*sqrt(95) - ((sqrt(95) + (sqrt(95) - -2*sqrt(95))*-3 - sqrt(95)) + sqrt(95)))\/((sqrt(45) - -6*sqrt(720)) + sqrt(45)).\nAnswer: 8*sqrt(19)\/39","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 8565241 or 8565242?\nAnswer: 8565241","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 11*k + 692 = 15*k. List the prime factors of k.\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(t) = t**2 + 11*t - 17. Let c be b(-13). Let q(z) = c*z + 7 - 16 + 8. Suppose 3*y - k = -0 - 5, -4*y - 14 = -5*k. Give q(y).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (l*(l*l*l*l**3)\/l)**(-5\/11)\/(l\/(l*l\/(l*l**(5\/2))*l)*l**(-2\/49)) assuming l is positive.\nAnswer: l**(-4513\/1078)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (2 - 5) + -1 - 15\/15. Let t = -3 - -2.9. Let r = t + 0.3. Which is the second biggest value?  (a) 0.5  (b) r  (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 319 - 320. Let b be 1 - c\/(3 - (-28)\/(-10)). Solve 5*n - 3*x = -10, 0*x + 3*x = 3*n + b for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: -9 - -4 - ((-3 - -13) + -7)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 112706 and 952878?\nAnswer: 10481658","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (6 - (4 - 1))\/(9\/(-6)). Suppose s + 9 = -4*t, 5*s = 4*s - 1. What is the units digit of 1\/(t*b\/16)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 0.07, -0.1, 3\/14, -9361, -1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 215\/2 + (-10)\/(-4). What is the highest common factor of 22 and d?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 3333 is divided by 65.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -3\/5?  (a) -424\/5  (b) 3  (c) -1  (d) -3  (e) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (-9)\/(-1) + (-39)\/13. Let r(s) = -3 + 4*s - 2*s + 0*s. Does 9 divide r(c)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-2*sqrt(245))\/sqrt(7) + sqrt(35))\/(sqrt(45)\/(sqrt(36)\/sqrt(4))).\nAnswer: -sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -154.45 - -2.45. Let a = g + 143.3. What is a rounded to zero dps?\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(i) = -2*i + 3. Let q(x) = 7*x - 11. Let u be -5 - (-737)\/143 - 228\/(-39). Calculate u*q(z) + 22*p(z).\nAnswer: -2*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is (-3 - (8 + -19))*3197\/(-556)?\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -6.55 + 7.763. Let x = w + -1.14. Round x to two decimal places.\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 89 in -57, -0.1, -0.03, -2, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4 = -4*t, 5*o - 4*t + 17 + 12 = 0 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose r = 3*g + 25131, 0 = 2*r - 5*g - 34030 - 16238. What is the units digit of r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2270*2.\nAnswer: -4540","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 187*k**2 + 485*k**2 + 134*k**2 - 445*k**2 + 249*k**2 + 33*k**2.\nAnswer: 643*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 3813798?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -13 + 2\/(-13 - 162\/(-12))?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 53*x + 62 + 44 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (1 - 2) + (4 + -11 - -9)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between -1 and 480589553431?\nAnswer: 480589553432","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 583 is divided by 209.\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (0 - (-1)\/(-5))\/1. Suppose 4 - 22 = 6*c. Let x be -1 - (3 + c - (-27)\/(-6)). What is the biggest value in 4, 0.3, s, x?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 58*p + 405*p - 117*p = 157*p - 378 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {f: 3, i: 4, e: 11}. What is prob of sequence fe?\nAnswer: 11\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let l(j) = 5*j - 43. Let m(r) = 16*r - 128. Calculate -10*l(f) + 3*m(f).\nAnswer: -2*f + 46","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2 - -1 - (-57 - -55).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 1244341?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 606 divided by -6.\nAnswer: -101","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -7.7 + 23.3. What is t rounded to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -33*u = -10*k + 6*k - 128 - 697, 0 = 3*k + 5*u - 125 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 80, 169, 258, 347, 436, 525?\nAnswer: 614","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let m(y) be the second derivative of y**4\/18 - 41*y**3\/9 + 26*y**2 - 1773*y. Find z, given that m(z) = 0.\nAnswer: 2, 39","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -805 - -787. Let u(n) = n + 27. Calculate u(g).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1262 = 18*r - 4588. Which is greater: -2 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -65, -57, -39, -5, 51, 135, 253?\nAnswer: 411","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -0.0583 - 0.2417. Which is the fifth smallest value?  (a) -54  (b) 3  (c) v  (d) 2  (e) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -11 = -9*p + 14*p + 2*y, 2*p = -y - 5 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -20 = -96*f + 86*f. Find p, given that -3*p**3 + 3*p**4 - 68*p**2 - 59*p**f + 5*p**3 + 95*p**2 + 63 - 2*p**4 + 30*p = 0.\nAnswer: -7, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 176704\/264 + 2\/(-6). Let d = l + -675. Let x(g) = 2*g**2. Let f(v) be the second derivative of -v**4\/4 + v. Determine d*f(u) - 7*x(u).\nAnswer: 4*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let f(z) = -852*z - 57. Give f(-1).\nAnswer: 795","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let t(n) = -404*n + 55. Is t(-9) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*z + 4*y - 77 = 0, -5*y - 2 = -3*z + 22. Suppose 0*i + 4*n - 26 = -i, -3*i + z = -n. What is the units digit of i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(a) = 2*a**2 - 4*a + 9. What is the tens digit of b(12)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 11 divide 7128?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 3884229 - 13950336. Let f = -5866107 - m. What is f rounded to the nearest one million?\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be ((-9)\/(-5))\/3 - 174\/(-10). Let p(x) = x**2 - 17*x - 16. Let l be p(w). Solve 0*b - l = b for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(n) be the third derivative of n**5\/60 + n**4\/3 + 6*n**2. Let i be r(-8). Solve -2*o - 3*o = -z - 10, i = 2*z for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 522669?\nAnswer: 3, 7, 24889","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let m(t) = -10*t**3 - 17*t**2 + 9*t + 29. Let j(s) = -3*s**3 - 6*s**2 + 3*s + 10. Let g(p) = -7*j(p) + 2*m(p). Let v be g(-8). Solve 0 = -0*y + 4*y - v for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 56560597 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 4266 + 1?\nAnswer: 4267","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 1088 and 127744?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"}
{"text":"Question: Simplify v**(2\/5)*v**6*v\/(v**(2\/29)*v)*(v**(-6)*v)\/v assuming v is positive.\nAnswer: v**(48\/145)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Put 1, -81, 0, -1 in decreasing order.\nAnswer: 1, 0, -1, -81","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Expand 6*v - 3*v - v + (0 + 0 - 9)*(-14*v + 778*v - 235*v).\nAnswer: -4759*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 28 + 28 + 2 + -4?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 17685001667 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 5\/10 + 74\/4 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(q) = -q**2 + 12*q - 37. Let m be i(12). Which is smaller: -39 or m?\nAnswer: -39","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -5939.11 rounded to the nearest 1000?\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 4\/80 + 5\/25. Let d(c) be the first derivative of 0*c**2 - 2 + c + y*c**4 + 0*c**3. Differentiate d(k) with respect to k.\nAnswer: 3*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(k) = k**3 + 5*k**2 + 2*k - 5. Let b be w(-4). Suppose 0 = b*v - 4*v + 4. Solve -v*d - 4*m - 4 = 0, 0*m - 3*m + 21 = -3*d for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 614892 is divided by 1830?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is (-7)\/(-616)*(-1298)\/236?\nAnswer: -1\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Sort 5, 40, -5, -3, 8 in descending order.\nAnswer: 40, 8, 5, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 23101 is divided by 592.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -r**3*s**2 - 2586*r**3*s - 777*r**3 + 11696675*r*s**2 + 2*s wrt s?\nAnswer: -2*r**3 + 23393350*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -3.984 + 1.984. What is the nearest to 1.5 in 0.3, b, 0, 1\/5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 273453 is divided by 20.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 0, 11, 32, 63?\nAnswer: 104","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-11)\/1 + 4500\/375.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 1542 - 1542. What is the nearest to 1\/4 in -1\/2, -1, y, 103?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2225\/15 + 2\/(-9)*-3 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: (2 + 2 + (-4 - 5) - 0) + (147 - 10)\nAnswer: 132","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (10\/(2640\/99))\/((-2)\/(-4)).\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 42?  (a) -2\/21  (b) 2  (c) -2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 4*s*y**3 - s*y**2 + 4*s + 2*y**3 + 4*y wrt y?\nAnswer: 24*s*y - 2*s + 12*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 21*m + 2*m**2 + 3 - 4*m**4 + 685*m**3 - 683*m**3 - 20*m to f*m**4 + k + o*m + s*m**2 + y*m**3 and give s.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-2*z**3 + 0*z**3 - z**3)*(z - 6 + 4 - 1) to the form u*z**2 + t*z + n + f*z**4 + q*z**3 and give q.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of -74969, -74965, -74959, -74951, -74941?\n\"Answer: z**2 + z - 74971","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -568c (base 14) in base 2?\nAnswer: -11101010101100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2970 is divided by 249.\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let o(p) = 2*p - 12. Let k(r) be the first derivative of 0*r**2 - 277 + 0*r + 2\/3*r**3. Give o(k(g)).\nAnswer: 4*g**2 - 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -33 = -72*n + 39. What is the nearest to n in 0.3, -27\/2, -2?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -b177 + -3?\nAnswer: -b17a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5 + (4 + (-2 + sqrt(125) + sqrt(125) + sqrt(5) - (sqrt(15)\/sqrt(3) + 3)) + 3)**2.\nAnswer: 40*sqrt(5) + 509","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -104075599 divided by -1613.\nAnswer: 64523","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 26492?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1 + (-3*sqrt(1700)*1 - sqrt(1700)).\nAnswer: -40*sqrt(17) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Put -2\/17, 2.6, 3 in increasing order.\nAnswer: -2\/17, 2.6, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 203799014?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth biggest value in -3\/2, 16.2, -0.2, -1\/3, -3\/40, 3, 1\/4?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-2 - 4\/2)\/(-18 + 3 + 14).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {m: 1, p: 4, x: 6, d: 2}. What is prob of sequence xp?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -18*x**2 - 513*x + 173*x - 12 + 170*x + 172*x to u*x**2 + g*x + b and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.07 in 3\/358, 2\/31, -90?\nAnswer: 3\/358","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {e: 7, w: 2}. Give prob of sequence wewe.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let y(i) = -4*i + 23. Let z(p) = 2*p - 11. Let h(w) = 2*y(w) + 5*z(w). Let j be h(6). What is the derivative of -n + j + n - 3*n wrt n?\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {h: 1, o: 1, p: 2, m: 3}. What is prob of picking 1 h and 1 p?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*c + n + 7254 = -1520, -c = -n - 2198. Is c equal to 2195?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 1\/(((-91)\/(-14))\/(-13)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 0 or 19\/151584?\nAnswer: 19\/151584","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 2945134?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 2 - 21. Let g be d\/76 + 26\/8. Let l(u) = -65*u**2 + 25*u - 25. Let z(t) = -7*t**2 + 15*t**2 + 7 - 3*t - 4. Give g*l(q) + 25*z(q).\nAnswer: 5*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.000143592 to five decimal places.\nAnswer: 0.00014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -7\/37 or -1?\nAnswer: -7\/37","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*q - 3*p - 40643 = 19861, -3*q + 4*p + 60503 = 0. Does 81 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-1)\/5*(18 + 6391\/(-352))?\nAnswer: 1\/32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 p when three letters picked without replacement from erepprep.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 480 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 1\/4 of a meter in centimeters?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 23*c + 491*c**3 - 23*c.\nAnswer: 491*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1690?\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -696\/113 + 33727\/8136. What is the common denominator of x and (-11)\/(-18)*(3 - 0)?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-20)\/(-48)*186\/(-155)*(-64)\/2?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose s = -0*o + 5*o - 20, 0 = 5*s - 3*o - 10. Let q be (0 - 1)\/(s\/(-15)). Solve -2*h + q = 3*n, -2*n - 2*h = -6*h - 18 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 10 - 3. Let s = 12 - g. Let r = -2.1008 - -1.9008. Which is the nearest to 0?  (a) -1\/3  (b) s  (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 16436 is divided by 7103.\nAnswer: 2230","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 f when two letters picked without replacement from {f: 10}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 1595465 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let t(u) = -2*u**3 - 9*u**2 - 80*u + 13. Let f(n) = -n**3 - 4*n**2 - 40*n + 6. Determine -13*f(j) + 6*t(j).\nAnswer: j**3 - 2*j**2 + 40*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -5, 4, -2.9, 2.708, 1\/5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: -0.149 - 10147652988\nAnswer: -10147652988.149","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 9\/10 of a century in decades?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Divide -146635432 by -36658858.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Add together 89494996 and -0.161.\nAnswer: 89494995.839","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 111013213203 - 1?\nAnswer: 111013213202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Convert -31153450 (base 6) to base 9.\nAnswer: -1623613","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many micrometers are there in fifty-three fifths of a millimeter?\nAnswer: 10600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -r - 120 + 253. Calculate the highest common divisor of r and 38.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 182841437 to the power of 1\/2, to the nearest integer?\nAnswer: 13522","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let p(m) = m. Let q be (-3)\/1*-4*1\/(-6). Let d be p(q). Is (-6)\/d + (8 - -308) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 8800684 to the nearest integer?\nAnswer: 206","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -0.3 + -0.2. Let w = 37 + -34. Suppose -w*g + a + a = 17, -2*a + 22 = -4*g. What is the closest to -0.1 in u, g, 2?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.1?  (a) 1.8  (b) 0.03  (c) -1  (d) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 520 minutes after 6:42 AM?\nAnswer: 3:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Expand -i**3 - 2 + 2 - 1 + 1 - 2*i**3 + (0*i + 0*i + 3*i)*(2*i**2 + 0*i**2 - i**2) + 6*i**3 + 0*i**3 - 3*i**3.\nAnswer: 3*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 2\/17, -0.4, 286, 1\/2, -277?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of 402, 482, 558, 630, 698, 762?\n\"Answer: -2*r**2 + 86*r + 318","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Are 12 and 62\/5 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 33*a + 36*a + 15 - 36*a - a**3 with respect to a.\nAnswer: -3*a**2 + 33","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*q - 2*p + 80 = 0, 126 - 156 = q - p for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let m be ((-2)\/12)\/((-16)\/(-64)). Let o = 3443\/995 + -12\/199. What is the closest to m in 1, o, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-5*l + 11*l + 6*l + 2*l - 3 + 3 + (-3 + 2 + 3)*(2 - l - 2) + 3 + l - 3 + 3*l - 5*l + 4*l + 3*l - l - 3*l - 1 + 1 + 4*l)*(3*l**2 + 0*l + 0*l).\nAnswer: 54*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Express 4*v - 39*v - 66*v as p + m*v and give m.\nAnswer: -101","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 6\/11 smaller than -8.8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let w(c) = -c**3 + 21*c**2 - 11*c - 14. Give w(20).\nAnswer: 166","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let t(q) = 10*q**2. Let o(i) = 9*i + 195. Determine t(o(p)).\nAnswer: 810*p**2 + 35100*p + 380250","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 z, 1 e, and 1 y when three letters picked without replacement from yyeryyrzyyzeyy.\nAnswer: 8\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let l(t) = t**2 - 4*t - 1. Let h be l(2). Let p(x) = x**3 + 5*x**2 + x + 7. Give p(h).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0*r**2 + 1\/3*r**5 + 0*r**3 + 0 + 0*r + 1\/3*r**4 = 0 for r.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(k) = -k**3 + 4*k**2 - 7*k + 10. Calculate c(3).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -11090 + 11124. Solve -17*d = u*d - 102 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (-14 - 17 + 30)*((3 - 2 + 0)*(2*m - m + m) + 6*m - 10*m + 3*m) + (2 + 1 - 2)*(-8*m + 5*m + 0*m + 2) as v + o*m and give v.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3 = -634*m + 633*m, -4*x + m - 5 = 0 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of 17197, 68699, 154521, 274651, 429077, 617787?\n\"Answer: -2*a**3 + 17172*a**2 + 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 549108 a multiple of 42?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Divide 9760 by 5.\nAnswer: 1952","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 387 + 364 - 488*c**3 - 751 + 29*c**3.\nAnswer: -459*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 2.6 - 2. Let p = n + -0.5. Let c = -1.42 - -3.42. What is the closest to p in c, -0.3, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 56048 * -2\nAnswer: -112096","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let w(a) = 6*a**2 + a. Let g be w(-1). Suppose 0 = -4*c - 5*k + 60, 0*c = c + g*k. Suppose -3*i - p + 76 = -5*p, -5*p + c = 2*i. Does 11 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 44058306.\nAnswer: 2, 3, 7343051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let y(v) = -3. Let t(s) = -s + 2. Let m(d) = -5*t(d) - 4*y(d). Let u(b) = 119*b + 49. Let j(x) = -49*m(x) + 2*u(x). Let p(f) = 8*f**2. What is j(p(k))?\nAnswer: -56*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Put 35, 1, -1\/4, 0.1, -4, -0.08 in ascending order.\nAnswer: -4, -1\/4, -0.08, 0.1, 1, 35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-44)\/(-33)*6\/4.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 63534 by -3.\nAnswer: -21178","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let r(l) = l**2 - 8 + 0*l**2 + 12. Let n be r(-6). What is the greatest common factor of n and 60?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -1, -38.7, -21 in decreasing order.\nAnswer: -1, -21, -38.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 949, 1\/2, -0.1?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*y - 5 = -17*r + 16*r, -2*y - 5 = -r. Factor -16*a**2 - 2*a**4 + 16*a - 32\/5 + 8*a**3 + 1\/5*a**r.\nAnswer: (a - 2)**5\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -410531 - 1141?\nAnswer: -412112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 0 + -7 - (-10 + (85 + 3 - -16) + 13).\nAnswer: -114","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -230023101 - -200?\nAnswer: -230022301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let p(i) = -48932*i - 97932. What is p(-2)?\nAnswer: -68","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 16969680 divided by -4242420?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 400407639 a multiple of 3351?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 293*v**5 - 3*v**4 - v**2 - 22*v + 7?\nAnswer: 17580*v**2 - 72*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-11)\/2 - (-3)\/2. Let o = -1335 - -1334. Sort -194, -3, w, o in descending order.\nAnswer: o, -3, w, -194","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 9592 to the power of 1\/7, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -263 - 4553?\nAnswer: -4806","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 0.1 and 0.485?\nAnswer: 0.0485","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let x(y) be the second derivative of 3*y + 0 - 1\/6*y**4 + 0*y**3 + 0*y**2. Let f(l) = l**2. Calculate f(x(j)).\nAnswer: 4*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-4*sqrt(99)\/sqrt(3) - (4*sqrt(33)*5 - sqrt(33)))\/(6*(-1*sqrt(432)*3 - sqrt(432))))**2.\nAnswer: 5819\/82944","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 124425.\nAnswer: 3, 5, 7, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 106 + 26. Let j be (-13)\/((-2)\/1 + (-338)\/(-156)). Let z = s + j. What is the tens digit of z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 22*g**3*s**2 + 6*g**3*s + 3*g**2*s + 5*s wrt s.\nAnswer: 44*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*s = 3*k + 3, -2*k + 6*s + 10 = 4*s for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -a - 11 + 7 = 0 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 251362694 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 1980 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Does -3\/2 = 2032\/13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let o(w) = -3*w - 28. Let t be o(-10). Differentiate -20*i**2 + 2 - 21*i**t - 29 with respect to i.\nAnswer: -82*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 118 + -63. Suppose -6*o - z = -17*o. Sort o, 0, -5.\nAnswer: -5, 0, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 17415239039 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let z(j) = -j**2 + 17*j - 324. Calculate z(18).\nAnswer: -342","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 1\/((1 - -1) + 266\/(-126)). Let a be 18\/(-45)*(-1)\/6*c. Is -0.5 at least as big as a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (3\/(-6))\/((-2)\/20). Suppose -5*u + 1 + 1 = -2*r, 2*r = -2. What is the third derivative of u*b**3 - w*b**3 + b**3 - 2*b**2 wrt b?\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1 (base 4) in base 2?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 588023 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 1610511?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 166*p**2 + 106*p**2 - 580*p**3 - 20*p**5 - 72*p**2 + 208*p**4 = 0. Calculate p.\nAnswer: 0, 2\/5, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*j + 9 = 3*c, 2*c - 7*c = -15. Suppose n + n - 230 = j. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -6.376 - -16.95. Let j = 0.574 - r. Is 6\/7 at most as big as j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(a) = a**2 - 3*a - 10. Let k be d(5). Suppose k = -13*t + 6*t + 294. Suppose -14*p - t = -16*p. Is 22 greater than or equal to p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of 3958, 15853, 35676, 63427?\n\"Answer: 3964*n**2 + 3*n - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 8018.54ml in litres?\nAnswer: 8.01854","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 163.704 + 0.296. Let y = 165 - c. Which is smaller: 0.161 or y?\nAnswer: 0.161","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(n) = 0*n**2 - n**3 - 5*n - 14 + 5*n**2 + 20. Let y be j(4). What is the second derivative of 0*c - c**y + 1 - 1 + 4*c wrt c?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 133 is divided by 17?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 1.46693 rounded to 0 dps?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of 23471, 46943, 70435, 93959, 117527?\n\"Answer: 2*s**3 - 2*s**2 + 23464*s + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (12\/(396\/77))\/(91\/(-117))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve c - 3*z = 8, z - 5 = c - 11 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 79 - 5. Let c be 3 - 2\/(52\/i). Put 2\/17, c, 2 in descending order.\nAnswer: 2, c, 2\/17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(x) = x**2 + x - 4. Let w be u(2). Suppose -4*r = f + w*f - 126, 2*r = 5*f + 50. Solve -3*v - 2*p = -v, 5*v = 5*p + r for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4 + ((sqrt(363) + -4 + -2)*2 - (sqrt(54)\/((sqrt(192) + sqrt(3) - sqrt(3)) + sqrt(3)))\/sqrt(6)*-1).\nAnswer: -16 + 199*sqrt(3)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3 = -b + c + 2, 4*b = 5*c - 8 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (13*c + 0*c - 2*c)*(6 - 2 - 6)*(4*c - 2*c + c).\nAnswer: -66*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let l(f) = 10*f - 587. Let r be l(59). Let m(o) be the second derivative of 0*o**2 + 0 + o**5 - 10*o - 5\/2*o**r - 55\/12*o**4. Factor m(z).\nAnswer: 5*z*(z - 3)*(4*z + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -15.369 + 15.3. Let y = w - -0.0690107. What is y rounded to 6 dps?\nAnswer: 0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -405635586043 less than -0.0738?\nAnswer: 405635586042.9262","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -44*q - 153*q = 7 - 401. Solve 4*h + 5*s = 24, -h = -q*h - 3*s + 13 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (20\/(-5) - -10) + -2. Solve -b + a = 3 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 2 - -18. Let k be (-454)\/(-6) - f\/30. What is the highest common divisor of k and 30?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -4\/137?  (a) 1\/3  (b) 170  (c) 0.2  (d) 1  (e) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let z(r) = 47674*r**2 - 5974*r + 33. Let i(j) = -35756*j**2 + 4481*j - 24. Let q(k) = 11*i(k) + 8*z(k). Find the second derivative of q(s) wrt s.\nAnswer: -23848","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -69288 smaller than -485014\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 3942405 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: Let h = 2032 - 2029. Solve h*l + 1 + 2 = -5*t, -13 = 3*t - l for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(n) = -n**2 + 1. Let s(u) = 2*u**3 + 9*u**2 + 9*u - 6. Give -s(o) - 6*y(o).\nAnswer: -2*o**3 - 3*o**2 - 9*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let s(p) = 7*p - 146. Let q be s(24). Let w(n) = -n**3 + 4*n**2 - n + 2. Let b be w(3). What is the second derivative of b*h**5 + 22 + 16*h - q wrt h?\nAnswer: 160*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -9837 - -19685. What is the units digit of k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*w - 7 + 1 = 0. Let s be (-12)\/(-168)*1*w. Which is the second smallest value?  (a) -2\/3  (b) s  (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (4*(sqrt(567) - -1*(sqrt(77)\/sqrt(11) + sqrt(7))) + -1)**2.\nAnswer: -88*sqrt(7) + 13553","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8 + 83 = 5*g. Let t be 182\/3 + (-2)\/3. List the prime factors of 48\/g*t\/3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 441 is divided by 229.\nAnswer: 212","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 13 = 5*z - 2*s - 4, -4*z + 7 = 5*s. What is the second smallest value in 1.2, 2\/13, z?\nAnswer: 1.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -b + 2*b - 3 = 0. Suppose b*o + 3*s - 9 = 0, -3*o - s + 19 = 4*s. Let a be 0 + 1*(6 - o). Solve -a*n = -4*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from yificcfo. Give prob of picking 2 f and 1 o.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((-2 + sqrt(325))*-5*-6)**2 - (1 + (sqrt(13) + sqrt(13) + 1 + -2)*5)**2) + 0)*-1.\nAnswer: -294784 + 17920*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 44*t**2 + 181 + 95*t**3 - 26*t**2 - 17*t**2 wrt t.\nAnswer: 570","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -13267, -13255, -13233, -13201, -13159?\nAnswer: -13107","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (50\/5)\/10*2\/(-4)*-10?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -59998*a**3*c + 2*a**3 + 2*a**2*c**4 + 33*a**2 + 69 wrt c.\nAnswer: -59998*a**3 + 8*a**2*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: (-1)\/((-2)\/(-224)*16)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let i(s) = -s**3 + 7*s**2 - 6*s + 4. Let h be i(6). What is the first derivative of -223*c + 5 + 7*c**h + 223*c wrt c?\nAnswer: 28*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 4\/(-6) + (-2)\/(-4). Let g = 3 - 2. Is d != g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*x + 4*q = -688, 5*x - 888 = -5*q + 3*q. Let f be x\/12 - (0 - (-2)\/(-6)). Suppose 0*g = 5*g - f. Calculate the lowest common multiple of g and 5.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 703\/(-296) + 10\/4. Let j = 8 - 12. What is the smallest value in j, 3, y?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*a + 53 - 77. Let t = 140 - 100. What is the highest common factor of t and a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: -4 divided by -107974905\nAnswer: 4\/107974905","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve -7570*g + 7566*g - 13*a + 11 = -15, -3*a + 6 = -3*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -988 = 3*r - 1057. Solve r*m - 86 = 29 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 7\/4 in -2\/19, -56, -0.235?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence bzbv when four letters picked without replacement from vkvzzvzzbzvvzzbvzbz?\nAnswer: 9\/2584","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*c + 15 = 4*n, -4*n = -c - n + 18. Let u(m) = -5*m. What is the remainder when c is divided by u(-1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 582 minutes before 7:36 PM?\nAnswer: 9:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 432 and 14175.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: -2517*5.2\nAnswer: -13088.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-450)\/(-25)*(-2)\/10*-6*1060\/477.\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let c(j) = 2*j**2 - 77*j + 49. Give c(38).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -11*q**4 + 2*q**2 - 410 + 10*q**3 + 120 + 142 + 146 - q to the form a*q + p + g*q**4 + n*q**2 + y*q**3 and give p.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -25*t = -38*t + 47918. Suppose -4*f + q = -6386, -3*f - 2*q + t = -1098. What is the hundreds digit of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 26805\/4011 + -7 + (-4)\/(-14). Let d = r - -12451\/1146. Calculate the common denominator of -76\/9 and d.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(f) = -3*f**2 - 7*f. Let i(s) = -3*s**2 - 6*s. Let k(l) = 7*i(l) - 6*j(l). Let g(u) = -21*u. Determine k(g(t)).\nAnswer: -1323*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (-5 - 0)*(-4)\/(-10). Let p = j - -7. Suppose 1 - 16 = -p*v. Solve -v*t = -0*t - 9 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 18\/4 - 4\/(-8)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5484*c - 5488*c - 5*t = -22, 4*c - 5*t = 2 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 98153 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 830*o - 300*o + 0 + 0 - 267*o - 262*o.\nAnswer: o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Does 171 divide 150814?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: -9 * -52\nAnswer: 468","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (3 - 20)\/(6*(-6)\/(-828)). Let x = 2347\/6 + d. Put -3, -0.5, 0.2, x in descending order.\nAnswer: 0.2, x, -0.5, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(o) = -15*o**3 + 11*o**2 - 11*o - 74. Let i(m) = -5*m**3 + 4*m**2 - 4*m - 25. Let a(d) = -11*i(d) + 4*k(d). Differentiate a(u) with respect to u.\nAnswer: -15*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*t = -0*t - 2493366. Let r = 591122 - t. Round r to the nearest one hundred thousand.\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 1 + 43. Let g = y + -52. What is the third smallest value in g, -4, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 9*v**2 + 15*v**4 - 3*v**4 + 15*v**2 + v**4 wrt v?\nAnswer: 312*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:07 AM and 12:17 PM?\nAnswer: 490","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let i be -8 + 1\/(-10)*461. Let x = i - -107\/2. Is x > -28?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 0.145  (b) -804.4  (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 1894577 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let h(j) = -j + 10. Let s be h(11). Let y be ((-21)\/14)\/(s\/2). Solve 0 = -y*v + v - 8 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (2*k**2 + 0*k**2 + 0*k**2)*(-8 + 6 - 4)*(-2*k + 4*k - 2 + 3*k) in the form q*k**2 + f*k**3 + c + w*k and give f.\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 399 less than 401?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((s*s**(-2\/3))**(-1\/46)\/(s**8\/(s\/((s*s**(-2\/7)\/s*s)\/s))))\/((s**1)**(1\/34)*s**6\/(s\/s**(2\/5))) assuming s is positive.\nAnswer: s**(-498857\/41055)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence wwl when three letters picked without replacement from {l: 6, w: 6}.\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-52)\/14 - 4\/14. Let s be (-2)\/t*(2 + 10). Let r be (4\/5)\/((-2)\/(-10)). Calculate the highest common divisor of r and s.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -1 or -62\/453?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 13 - ((26 - 6) + -1) - (-40 - 1)?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*c = 5*z + 138 + 65, 3*c + 193 = 5*z. Let u = -28 - c. Is (0 + 15\/6)*u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4, -328, 4, -7, -3 in descending order.\nAnswer: 4, -3, -4, -7, -328","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*u - 2*c - 186827 = 0, -40*u + 44*u + 4*c - 249076 = 0. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-54*v**3 - 3*v**4 + 54*v**3)*((5 - 3 + 0)*(-2*v + 2*v - 2*v) + 2*v - v - 3*v).\nAnswer: 18*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose q + 20 = 3*i - 59, -5*q = 5. Let t = 31 - i. Let p = -359 + 361. Put -2, t, p, -5 in increasing order.\nAnswer: -5, -2, p, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -1 - -11010001100011101001?\nAnswer: 11010001100011101000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-5)\/(-25) + 231\/(-5). Let b be i\/(-12) + (-10)\/(-60). Sort b, -4, -3 in ascending order.\nAnswer: -4, -3, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-2*-1*sqrt(180) - sqrt(180)) + 1 + sqrt(5445))**2.\nAnswer: 78*sqrt(5) + 7606","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3581*y + 33143 - 147735 = 0 for y.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 1113 - -6134. What are the prime factors of j?\nAnswer: 7247","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 12245 - 0.052?\nAnswer: 12244.948","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 19353?\nAnswer: 3, 6451","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve -u - 2*h + 1 = 0, 6*u = 3*u + 5*h + 14 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 2027535831 to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -41\/111 + 15\/74. What is the biggest value in -0.019, 0.3, 4\/9, d?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (6*sqrt(315)\/sqrt(5))\/(-2*sqrt(441) + sqrt(9)) + (-3*sqrt(700)*2 + -5)**2.\nAnswer: 7794*sqrt(7)\/13 + 25225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1 in -5, 3, -41, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let -5*x**2 - 570225*x - 2851000 = 0. Calculate x.\nAnswer: -114040, -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 520, 493, 464, 433, 400?\nAnswer: 365","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1 = -k + 4. Suppose -t = -k*s + 247, 4*s + s - 3*t - 251 = 0. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 14 = 4*k - 6. Let j(x) = 16*x**3 - x**2. Let u be j(1). Suppose -4*n = c, 3*n + n - 5*c = 0. Solve n = 2*a - k*a + u for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -0.3 - -0.4. Let i = 18 + -17.3. Let q = 2.3 + i. What is the smallest value in q, 0.4, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -456184*j**6 + 5*j**5 + 976443*j**2 - 2.\nAnswer: -54742080*j**3 + 300*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let m(s) = -s**3 + s**2 + 4. Let j be m(0). Let h be 8 + 32\/32*(-10 - -2). Solve d - j = -h for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 293802 is divided by 287614.\nAnswer: 6188","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve 339*p = 84*p + 119*p - 6308 - 628 for p.\nAnswer: -51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Determine k so that 21*k**3 - 24*k - 4*k + 14*k**4 - 137*k**3 + 1397*k**2 - 1267*k**2 = 0.\nAnswer: 0, 2\/7, 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1 + -4 + (-4*-2*(sqrt(1152) + sqrt(1152) + sqrt(1152)*2)*-2)**2.\nAnswer: 4718589","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -358*g**2*l**2*z**3 + 5*g**2*l**2 - 2*g**2 - g*l**2*z - 417*g*z**3 + 4*g + l*z**2 wrt g.\nAnswer: -716*l**2*z**3 + 10*l**2 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let p be -1 - (3\/(-6))\/(2\/4). Let d(x) be the first derivative of -2\/5*x**5 + 2*x + 0*x**3 + p*x**2 + 0*x**4 + 1. Differentiate d(y) with respect to y.\nAnswer: -8*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -500\/21 >= -25?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let c(s) = s**3 - 16*s**2 - 18*s + 18. Let x be c(17). Solve -3*t = -2*q + 20 - x, 0 = 2*q - 4*t - 24 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -997*s = -1817*s - 49200 for s.\nAnswer: -60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*j**3 - 28*j**2 - 70*j - 44.\nAnswer: -2*(j + 1)*(j + 2)*(j + 11)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -24 = -4*s, 3*m - 53*s = -52*s + 393. Calculate the lowest common multiple of m and 133.\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {a: 1, r: 5, p: 11}. What is prob of picking 1 a, 1 p, and 1 r?\nAnswer: 11\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let t be -21*21\/(-9) + 0. Suppose 227 = 3*o - 73. Suppose 0 = -n + s + 2*s + 45, -o = -2*n - 4*s. Is n greater than or equal to t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {h: 3, i: 4}. What is prob of sequence ii?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: -10 + (4 - (19 - 10)) - ((4 - 1) + 3)\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let n(q) = -2*q. Let x be (-40)\/(-16) - 2\/4 - 3. Let b(g) = -1. Let r(s) = x*n(s) + 3*b(s). What is r(-5)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -4?  (a) 3  (b) 9  (c) -2\/7  (d) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Expand 2*i**2 - 3*i**2 + 4*i**2 + (-4 + 6 - 4)*(i**2 + i**2 - 3*i**2).\nAnswer: 5*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 8531796 and 507845?\nAnswer: 42658980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*p**4\/11 - 82*p**3\/11 + 234*p**2\/11 - 230*p\/11 + 76\/11.\nAnswer: 2*(p - 38)*(p - 1)**3\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*b - 10663 + 10637 = -3*x, -5*x + 8 = -2 for b.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 9.8 - 10.87. Let j = 0.07 + o. Let i = 74 + -73. Put j, -0.2, i in decreasing order.\nAnswer: i, -0.2, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 56508709 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 102102222201 (base 3) in base 9?\nAnswer: 372881","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 2702?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -1\/815, -0.014, 2\/141, -0.1, -5, -0.3?\nAnswer: -0.014","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 651866?\nAnswer: 2, 23, 37, 383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2958 is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 1733645481 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: 18080 divided by -13\nAnswer: -18080\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let m(i) = -i**3 + 7*i - 4. What is the units digit of m(-4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -1 - 2 - (-38 + -2) - (70 - (139 + -60)).\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*j + 0*j = 396. Let x be 16\/2 - 3 - -4. What is the highest common divisor of x and j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(j) be the second derivative of 14*j**4\/3 + 5*j**3\/6 - 5*j**2\/2 + 313*j + 2. What are the prime factors of m(-4)?\nAnswer: 13, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 357 and 14?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 254 = 7*u + 135. Solve 13*y = u*y + 20 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 4391665034 a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 7849, 15574, 23173, 30646, 37993, 45214, 52309?\nAnswer: 59278","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -172*r + 96*r - 4788 = 0. Put -1, -0.2, r in descending order.\nAnswer: -0.2, -1, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 387 divided by -5?\nAnswer: -387\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 254*y**3 - 1572*y**2 - 28806346*y + 1.\nAnswer: 1524*y - 3144","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between 0.6 and -166?\nAnswer: 166.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -118 + 118.0357. What is u rounded to 2 dps?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 3920 by 980.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -281041\/189 - -1487. Which is greater: -1 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 19576*f**2 + 19572*f**2 - 58721*f**2 + 19574*f**2.\nAnswer: f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 3  (b) -4\/7  (c) -2\/1127  (d) -25  (e) 11  (f) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 40 and 50.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve 11*z - 12*z = 1 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let n(z) = -z**2 + 7*z + 4. Suppose -60 = -5*f - 4*o, -2*f + 3*o + 63 = f. Calculate the lowest common multiple of n(7) and f.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in n**3 + 42616741*n**2 - 42616741*n**2.\nAnswer: n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 229347924?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve -48*r = -85*r + 50*r - 65 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*k - 4*n = -2795, -5*k + k - 4*n = -2236. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 2 + 301?\nAnswer: 303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (30\/16)\/(21\/(-28)).\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 2*-2*3\/12 - 3. Let q = -16 - -19. Let k(i) = -i**2 + 5. Let a be k(q). Is m >= a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 10117\/3895 - -2\/779. Factor 11\/5*b + 2\/5 + k*b**2 + 4\/5*b**3.\nAnswer: (b + 1)*(b + 2)*(4*b + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -14 + 0. Let c be (k\/(-63))\/(10\/(-6)). Let y = 40.1 - 40. What is the third smallest value in y, 5, c?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"}
{"text":"Question: Simplify 5*(5 + -5 + -4*((sqrt(684) + sqrt(684) + -1)**2 + -5 + sqrt(684) + (2*(sqrt(684) + 0) - sqrt(684)))*-5)*-2.\nAnswer: -546400 + 2400*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -5*u**3 - 89*u**3 - 8*u + 2*u**2 - 51 - 190*u**3 + 6*u.\nAnswer: -284*u**3 + 2*u**2 - 2*u - 51","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -420\/11 or -37?\nAnswer: -420\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 1651486387 to the nearest integer?\nAnswer: 1182","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -25 + (28 - 12) - -8?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*o - 4*u - 46 - 11 = 0, 4*o + 2*u = 54. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0, -37, 2, 5255, -5 in ascending order.\nAnswer: -37, -5, 0, 2, 5255","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 0 + -6c?\nAnswer: -6c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence tq when two letters picked without replacement from {k: 1, l: 1, t: 1, q: 1, y: 2, e: 1}.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*a - 15 = -0. Suppose -t + 18 - 15 = 0. Let p(u) = 0*u**3 + a + u + 3*u**2 - 2*u + 0*u**3 - u**t. Determine p(3).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3 - 2485*j**2 - 4816*j**2 - 3.\nAnswer: -7301*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -237 = 2*g - 5*k - 649, 4*g - 880 = -4*k. Calculate the greatest common factor of 8856 and g.\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(w) = -w**2 + 7*w - 8. Let j be 19\/57 + 44\/3. Suppose 3*n = -j, -2*b - 1 = -5*b - 4*n. What is s(b)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -236.2683 + 0.2683. What is the nearest to v in -2\/9, 3, 0.5?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(k) = -k**3 - k**2 + k. Let x(y) = y**3 + 19*y**2 - 328*y - 27. Let l be x(11). Let c(d) = 3*d**2 - 3*d. Calculate l*c(h) - 15*j(h).\nAnswer: 15*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 8473 a multiple of 37?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from gggldgadg. Give prob of sequence la.\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Express (0 + 1 + 2 + (-3 + 4 + 1)*(3 + 4 - 5) + 3 + 1 - 3 - 2 + 2 - 2 - 1 + 3 + 0 + (3 - 2 - 2)*(-2 + 2 + 2))*(-49*z + 84 - 84) in the form l*z + w and give l.\nAnswer: -294","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.1 in 0.876, -4, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Round 118.39332975 to 2 decimal places.\nAnswer: 118.39","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -58224 + 407567\/7. Let p = -0.13 + -0.77. Put 0, q, p, -2\/3 in increasing order.\nAnswer: p, -2\/3, q, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -5 + -1. Let a(x) = x**2 - 11*x + 11. Let b be a(8). Let v = w - b. What is the units digit of v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -7203 - -136855\/19. Which is the closest to 1\/4?  (a) 2\/7  (b) -0.3  (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 8\/25 of a millennium in months?\nAnswer: 3840","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2111*c + 4276*c - 2171*c.\nAnswer: -6*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (15 + (-2)\/(-1))*1. Let f = x + -11. Solve -v + f*v = 0 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 1.08876 + -550.\nAnswer: -548.91124","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*i**2 - 8508*i + 6032172.\nAnswer: 3*(i - 1418)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 760 = 12*o - 7*o. List the prime factors of o.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -1 - -1.5. Let v = -8.8 - -5. Let p = 4 + v. Put -4, l, p in descending order.\nAnswer: l, p, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -33717 + 40*g + 17085 + 16632.\nAnswer: 40*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 29711879 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4 = 4*f + n, 4*f - 5*n - 24 = -n. Suppose f*r - 5*a - 458 = 0, -9*a - 1145 = -5*r - 4*a. What are the prime factors of r?\nAnswer: 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 4 - (5 + 1 + -5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 76 a factor of 312142?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve -13*m = 169 - 143 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -24 = -5*g - 2*a + 12, 0 = -5*g - 5*a + 30. Calculate the remainder when 804\/60 + 2\/(-15)*3 is divided by g.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(o) = 3*o**3 - 37*o**2 + 17*o - 44. What is the remainder when 45 is divided by q(12)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 368460840*f**3*o**3 - 34*f**2*o**3 + 2*f**2*o**2 - f**2*o - 2426*f*o**3 + 2*o**3 + 2*o wrt f.\nAnswer: 2210765040*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 j when three letters picked without replacement from jjjn.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is -131298301 greater than -131298302?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Round -188602.25 to the nearest one hundred.\nAnswer: -188600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: How many nanoseconds are there in 9\/10 of a microsecond?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*k - 1717 = -5135. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(a) = -a**3 + 98*a**2 - 524*a + 5720. Determine z(93).\nAnswer: 233","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4 + (sqrt(50)\/(sqrt(10) - (sqrt(10) + -2*sqrt(10))) - sqrt(25)\/(1*sqrt(5) + sqrt(5))) + (sqrt(880)\/sqrt(11) + 1*sqrt(5)*3)**2.\nAnswer: 241","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -13\/30690 and -23\/62.\nAnswer: 30690","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0*k = 3*k - 6, -10 = -3*d + k for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Put -12, -5, -20 in ascending order.\nAnswer: -20, -12, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(16)\/((sqrt(32) + sqrt(8))*6).\nAnswer: sqrt(2)\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Does 21 divide 275?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -105.4 + -32.6. Let s = y - -136.8. Let x = -2\/39 - -47\/156. Is x < s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify s**(-6\/13)*s*s*s**(-14) assuming s is positive.\nAnswer: s**(-162\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -8 - -17. Let x be (s\/6)\/3*2. Differentiate 7*i - 2 - 5*i + x with respect to i.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 54 is divided by 16.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 103 + -124 + 35 - 46.\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Factor -u**2\/3 - 26*u\/3 - 25\/3.\nAnswer: -(u + 1)*(u + 25)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -46\/7827 and -12\/18263?\nAnswer: 54789","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((h\/h**(-2\/9))**28\/(h**0*h\/(h*h\/((h*h*h\/(h\/(h\/(h**(-16)\/h))))\/h))))**(-48) assuming h is positive.\nAnswer: h**(-2336\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 4665 (base 11) in base 15?\nAnswer: 1c31","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-2)\/(-4)*((-320)\/(-56))\/(-20).\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -3804*a*b**3 - 2*a*b*l**4 - 743*b**3*l**3 wrt l.\nAnswer: -8*a*b*l**3 - 2229*b**3*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 1644875878?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 802528?\nAnswer: 2, 31, 809","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 13058 and 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let y(p) = -7*p**3 - 16*p**2 + 24*p + 23. Let g(h) = -16*h**3 - 32*h**2 + 45*h + 47. Let a(d) = -4*g(d) + 9*y(d). Calculate a(13).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 10828640 is divided by 106?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.6?  (a) 0.4  (b) 3\/5  (c) -3  (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 4 - 4.4. Let f = r + 0.8. Let j = 3144\/11 - 286. What is the third biggest value in j, 4, f?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -0.5  (b) 0.071  (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 12043471 + -12043398.9285824. Let p = x + -2.0714756. Let f = p + -70. What is f rounded to 5 decimal places?\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4*a**4\/9 + 452*a**3\/9 - 296*a**2\/3.\nAnswer: -4*a**2*(a - 111)*(a - 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve 148*c - 33*c - 70*c = 807*c + 430*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: How many micrograms are there in fourty-eight fifths of a milligram?\nAnswer: 9600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 2 + -11410564?\nAnswer: -11410562","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let z(p) = -p**2 - 3*p + 21. Let f be z(-6). Is 4178 + (f - 7) + 3 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 1419 or 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1205*o - 3692 = 6028 + 15585 for o.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 73\/88 and -37\/22.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 65688967 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let a(j) = -j**3 + 2*j**2 + 2*j - 2. Let k be a(3). Let x be 25\/10*6\/5. Suppose -z - 9 = x*w, -w + 2*w - 5 = -3*z. Sort 1, w, k in descending order.\nAnswer: 1, w, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*v**2 + v**2 + 0*v**2)*(21*v + 20*v - 45*v + v**2).\nAnswer: -v**4 + 4*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 28\/308*(-99)\/18. What is the nearest to y in 4, -1, -0.06?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (76*x - 91*x - 106*x)*(3 + 0 - 4) + 37 + 40*x - 37 to w + q*x and give q.\nAnswer: 161","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let z(q) = 258*q + 544*q + 203*q. Suppose 0 = 5*l + 15 - 5. Let h(f) = -15*f. Let p(d) = l*z(d) - 135*h(d). Let n(u) = u**2. Determine p(n(b)).\nAnswer: 15*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is (-2*(-36)\/(-24)*-1)\/(-57)?\nAnswer: -1\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 27 = -11*i + 82. Suppose b + 5*c - 164 = 0, -361 - 459 = -i*b - 4*c. Is 4 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 148*u - 143*u + 35. Put 1, u, 3 in increasing order.\nAnswer: u, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 10, 0.022, -2\/11, 3, -19 in ascending order.\nAnswer: -19, -2\/11, 0.022, 3, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 8976127 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 7\/38?  (a) 0.377  (b) 2\/9  (c) -3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 3369083 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let a(n) = 37*n**2 + 4323*n + 3874. Determine a(-116).\nAnswer: 278","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (-1380)\/(-18) - (-2)\/6. Let t(i) = -i - 13. Let j be t(-6). Let s = 0 - j. What is the greatest common factor of s and a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:16 PM and 1:40 AM?\nAnswer: 324","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 9 and 3 + (4 - (-6 - -4)).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose k + 2*j - j = 15, -3*k + 4*j = -80. Let f be 2\/5 - (-2)\/k. Let t = 2 - 5. Which is the closest to 0?  (a) 0  (b) f  (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -11 - 220012200?\nAnswer: -220012211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-4)\/(-40))\/((3\/(-6))\/((-60)\/48))?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 199463480 divided by -10\nAnswer: -19946348","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (b**(2\/15)\/(b\/b**(-2\/3)))**(19\/3)\/(b\/(b\/(b*b\/(b**(-8)\/b)))*b**(1\/7)*b*b)**(7\/2) assuming b is positive.\nAnswer: b**(-2507\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*r - 7*r + 8 = 0. Solve -2*s**4 - 6 - s**4 + 5*s + s**2 + 8*s**r - 3*s**3 - 2*s = 0 for s.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from qqqjqqjqqjqq. Give prob of picking 1 q and 2 j.\nAnswer: 27\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 94c9b (base 13) in base 6?\nAnswer: 5424413","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Put 7\/8, -120\/283, -2 in decreasing order.\nAnswer: 7\/8, -120\/283, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 17214 is divided by 4251.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of 3188, 6518, 9850, 13184, 16520, 19858, 23198?\n\"Answer: y**2 + 3327*y - 140","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 2973233764 a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let v(i) = 8*i + 12. Let j be v(-9). Let n be (-1)\/4 + (-55)\/j. Let s be 7\/(-6) + (-30)\/(-20). Sort n, 5, s in increasing order.\nAnswer: s, n, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -5 - -5.4. Let u = -0.1 - -0.2. Let w = u + d. What is the biggest value in 2, 0.3, w?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 22 a factor of 85357?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*n - 3*x - 1, n + 4 = x + 1. Let y be n\/2 - -4 - -8. Let s(u) = u**3 - 10*u**2 - 2*u. What are the prime factors of s(y)?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of 195, 199, 213, 243, 295, 375?\n\"Answer: u**3 - u**2 + 195","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let l(w) be the first derivative of -2858*w**5\/5 - 2266*w**3\/3 + 640. Find the third derivative of l(n) wrt n.\nAnswer: -68592*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine m, given that 3*m**5\/4 - 429*m**4\/2 - 35643*m**3\/4 - 33915*m**2\/2 = 0.\nAnswer: -35, -2, 0, 323","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-8)\/20 - (-2)\/30. Sort 201, u, -5, 3\/8 in ascending order.\nAnswer: -5, u, 3\/8, 201","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 337156.07 rounded to the nearest 1000?\nAnswer: 337000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1?  (a) 2  (b) 1\/2  (c) -3  (d) -9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let x(r) = 125*r**2 - 9*r + 38. What is the hundreds digit of x(3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -262.09 + 261.69. Let w = 3 + -4. What is the smallest value in r, 1\/3, w, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-148)\/(-28) + (-4)\/14. Let s = 4.2 - 0.2. Which is the second smallest value?  (a) 2  (b) t  (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 2\/(-4)*-4*2. Let u(x) = -3 - 8*x + z - 1. Let t(b) = b. Give u(t(a)).\nAnswer: -8*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-18)\/10)\/((-156)\/(-130)*(-1)\/6).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 0.79 + 0.01. Let w = -0.2 - i. Let r = 0.74 + 0.66. Put r, 0.2, w in descending order.\nAnswer: r, 0.2, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 618*d - 168 = 642*d for d.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 1263 + -1349.3. Let w = x - -86.3000616. What is w rounded to 5 decimal places?\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 17480082 (base 9) in base 10?\nAnswer: 8791814","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let r(q) = -q**3 + 8*q**2 + 3*q. Let z(m) = 4*m**3 - 33*m**2 - 13*m. Let t be 1*-8 + 56\/28. Let j(o) = t*z(o) - 26*r(o). Determine y, given that j(y) = 0.\nAnswer: 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 448 minutes before 11:20 PM?\nAnswer: 3:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 30798 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let x(h) = 1050*h - 1026. Calculate x(1).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: 4*(((-6)\/4)\/3)\/1\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 13 and 16?\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 66999?\nAnswer: 3, 23, 971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 5 + -7 + (-14 - -18) + 44.\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {z: 4, c: 2, e: 4}. What is prob of picking 1 c and 1 z?\nAnswer: 8\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 8581 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 6318 and 78975.\nAnswer: 157950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0058663 to 3 decimal places.\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 3\/25 of a litre?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:13 PM and 12:57 AM?\nAnswer: 524","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let o(i) = -4*i - 43 + 24 + 19. Let v(d) = -4*d. Give v(o(g)).\nAnswer: 16*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let y(o) = o**2 - 6*o + 8. Let m be y(10). Find the common denominator of 81\/m*20\/(-6) and -13\/8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-c + 0*c + 2*c)*(-4 - 3 + 1)*(-2 + 3 + 0 - 1 + 0 - 1 + (4 - 2 - 3)*(2 + 3 - 4) + 0 - 5 + 3).\nAnswer: 24*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Sort 37, -1, -2\/5, -5 in decreasing order.\nAnswer: 37, -2\/5, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3040*h - 1731 + 3041*h - 9109*h + 3037*h)*(3*h + h - 3*h).\nAnswer: 9*h**2 - 1731*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) -3\/14  (b) -5  (c) 2  (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let o(l) = -57*l - 280. Let h be o(-5). Solve -2*k = -3*t + 1, -4*k + 3*t - 26 = h*t for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 999612497?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 4309 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is (-6*(-2)\/(-16))\/((-9)\/(-2))?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify w**(-1\/22)\/w**(1\/12)*w**(3\/14)*w*w\/(w**(3\/11)*w*w)*w assuming w is positive.\nAnswer: w**(751\/924)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -56 - -56. Suppose -d + l*d - 320 = -4*z, 3*z = -2*d + 240. Calculate the highest common divisor of 5 and z.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 307257?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 7180.\nAnswer: 2, 5, 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Add together 2360589 and -27.\nAnswer: 2360562","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 28 + -26. Solve 2 - 6 = -r*v for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -54 divided by -9.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 4.22 less than -0.2?\nAnswer: -4.42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (p**(-3\/23)\/(p**19*p*p))**2 assuming p is positive.\nAnswer: p**(-972\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 252360980 to the nearest integer?\nAnswer: 632","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Determine t, given that 3*t**5 - 3*t**4 - 105*t**3 - 165*t**2 + 102*t + 168 = 0.\nAnswer: -4, -2, -1, 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (q**(-5)*q\/q**(11\/5))\/(q**(3\/7)*q\/(q\/(q*q\/((q\/((q\/(q*q*q**(1\/3)))\/q*q*q))\/q*q)))*q) assuming q is positive.\nAnswer: q**(-871\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -73 = -4*k + 3*s, -k - 3*s = k - 23. Suppose r + r + 4 = 0, 0 = 3*x + 2*r + k. Which is the third smallest value?  (a) x  (b) -0.4  (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -3\/7 in 6, 9, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (1 - 5 - -7) + (0 - 14)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4*o**3 - 16*o.\nAnswer: 4*o*(o - 2)*(o + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-15)\/9)\/((-25)\/(-150))*(-14)\/10?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -16*a = 6*a - 88. Let x(o) = 2*o**2 + 2. Let m(p) = p**2 + 1. Calculate a*m(t) - 3*x(t).\nAnswer: -2*t**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.1 in 3141, 0.5, 0.3, -0.4, -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Put together 3757823 and -0.064.\nAnswer: 3757822.936","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -2\/527?  (a) 0.5  (b) 853\/9  (c) 1\/5  (d) 4  (e) 3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = g - 0*i + 2*i - 24, 4*i - 16 = 0. Calculate the highest common factor of 24 and g.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.3951185 litres in millilitres?\nAnswer: 395.1185","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -0.5  (b) 0.03  (c) 1  (d) -1\/3  (e) -1  (f) 238\/29  (g) 1\/24\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (0 + 0\/(-3))\/(-2). Suppose -q = -o*q - 8. Let i be (-2)\/8 - q\/32. Is i at most 1.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 4068274 to the nearest integer?\nAnswer: 2017","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: -8*(-17)\/816*2\/(-4)\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let k(d) = d**3 + 5*d**2 - 4. Suppose -22*w = -24*w - 8. Calculate k(w).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(65) - (sqrt(65)*-2 - sqrt(65)))*-5 + sqrt(65) + -2*-2*sqrt(65))\/(sqrt(240)\/sqrt(3)).\nAnswer: -15*sqrt(13)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:04 PM and 1:54 PM?\nAnswer: 110","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let n(z) = -z. Let p(v) be the first derivative of v**3\/3 + 1851*v**2\/2 - 3980. Give n(p(b)).\nAnswer: -b**2 - 1851*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2*(-5 + -2*sqrt(1216) + 3 + 4 + -6*(-2 + sqrt(1216) + 1)*-1))**2*2.\nAnswer: -2048*sqrt(19) + 155776","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 1764304091 a multiple of 174?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (q\/q**(-2\/7))**34 assuming q is positive.\nAnswer: q**(306\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 2902473190 to the power of 1\/8, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 20403, 20382, 20363, 20346, 20331, 20318, 20307?\nAnswer: 20298","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: -86578b (base 14) to base 11\nAnswer: -2627231","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6806*d**5\/13 - 13614*d**4\/13 - 102086*d**3\/13 + 30*d**2\/13 = 0. What is d?\nAnswer: -3, 0, 1\/3403, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let t(y) = y**3 + 41*y**2 - 42*y - 3. Let p be t(-42). Let i(c) = -96*c**3 + 2*c**2 + 4*c + 17. Is i(p) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -107\/4994 and -91\/19976.\nAnswer: 19976","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: -86 divided by -86\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -6*((2 + 0 + sqrt(1700) + -2 + 3)*3)**2.\nAnswer: -92286 - 3240*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 0.06 + 0.54. Which is the second smallest value?  (a) g  (b) 0.11  (c) 1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(14)\/sqrt(7) + 0 + sqrt(98) + 3 + sqrt(2) - sqrt(180)\/(sqrt(40)\/sqrt(36))) + 4)**2.\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4 + -4 + -4 + (sqrt(605) - 4*sqrt(605)*-2) + -1*sqrt(605)*2 + -3.\nAnswer: -7 + 77*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-8)\/(-14)*1\/2. Let x = -4.9 - 6.1. Sort -2, y, x in increasing order.\nAnswer: x, -2, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose y + 2 = 3*y. Suppose -u + 3*o = -13, 3*o + 4 = 4*u - 3. Let g = u - -4. Sort g, y, 0 in ascending order.\nAnswer: 0, y, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -90.7276438 + -0.2.\nAnswer: -90.9276438","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 31473670847 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 16 and 10796966.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: -0.1*-0.10189\nAnswer: 0.010189","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -n**5*p**3 - 74*n**5 + 24*n**2*p**3 + 8*n*p**3 wrt n?\nAnswer: -60*n**2*p**3 - 4440*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let t(o) = o**2 + 9*o + 1. Let c(k) = -k**2 + 7*k + 11. Let d be c(8). Suppose 0*l + 30 = -d*l. Let p be t(l). What is p rounded to zero decimal places?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -25*u**2 - 36*u**2 - 47*u**2.\nAnswer: -108*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 882*s + 4657 - 26707 for s.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (34\/(-6))\/((-1)\/3). Let w(o) = 2*o + 36. Let x be w(-19). Let z be (x\/3)\/((-12)\/306). Calculate the greatest common factor of z and n.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -25*t + 24 = -19*t for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*z + 3*x + 18, 0 = -x + 2 - 6. Let u be -1 + z + (0 - 4). Let r(p) = p + 12. Let n be r(u). Solve 0 = n*y + 5*b - 2*b - 2, -3*b - 2 = 2*y for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 5 by 22.\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 107*h - 7*h**4 - 210*h + 2*h**3 - 3*h**3 + 109*h to j*h**2 + a*h + x*h**4 + f + u*h**3 and give u.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 2.69?  (a) 5  (b) 3  (c) 1\/2  (d) -0.3  (e) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 209671020 and 1404?\nAnswer: 468","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*h + 7*m + m + 17 - 85 = 0, -20*h + 2*m = 6*m + m for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 1561 and 2899.\nAnswer: 20293","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*q + 32 = -2*q. Let z = q + 10. Let o be z\/(-4) - (-4)\/(-8). Which is the biggest value?  (a) -2  (b) 1\/4  (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*h + 8 - 16. Let z = h + -6. Is z\/4*(-12 - -6) even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 143 is divided by 7?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is -328 divided by 164?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve 165*o - 106*o = -240*o - 20033 for o.\nAnswer: -67","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 55990157 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let p(b) = 315*b - 150*b - 148*b. Let v(l) = -3*l**2 + 2*l**2 + l + l. Let x(u) = -3*u**2 + 5*u. Let d(n) = -5*v(n) + 2*x(n). Determine d(p(o)).\nAnswer: -289*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -0.028, -0.4, 0.35, -2?\nAnswer: 0.35","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {s: 2, w: 3, g: 1, d: 4, t: 3, a: 6}. Give prob of picking 2 d, 1 a, and 1 s.\nAnswer: 6\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (28 - (1 + -8)) + -9 - 7?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -3\/43 + -201\/817. Let b = 21 + 30. Let n be (-4)\/(-6) - (-17)\/b. Is n < c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of 297849, 2382863, 8042221, 19063095, 37232657, 64338079?\n\"Answer: 297862*m**3 - 20*m + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 0.4  (b) 0.2  (c) 21  (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -37 + 39. Solve 5 - y = -r for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = y + 4*y + 15. Let f be 157 + 1*(1 + y). Suppose -3*r + f = 2*r. What is the units digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1, 20, 2 in decreasing order.\nAnswer: 20, 2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let h(k) = -15566*k + 155557. What is h(10)?\nAnswer: -103","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2598 = 436*c + 454 for c.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 29507319229 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 929911 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2, 98669, -4 in ascending order.\nAnswer: -4, 2, 98669","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let x(t) be the first derivative of t**6\/30 + t**5\/10 + t**4\/12 - 4*t + 2. Let n(u) be the first derivative of x(u). Solve n(v) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 173 + 144. What is the remainder when a is divided by 106?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 42905 to the power of 1\/3, to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 200131*a**3 + 1740*a**2 + 2*a - 298248363?\nAnswer: 1200786*a + 3480","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -4 divided by -5889409.\nAnswer: 4\/5889409","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 1021043214 - -3?\nAnswer: 1021043222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 4394 is divided by 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*w = x - 617, -1270 = -2*x - 53*w + 58*w. Calculate the smallest common multiple of 5 and x.\nAnswer: 625","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 376383 - 3.15418792?\nAnswer: 376379.84581208","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*t - 12 = -0*t. Suppose t*m - 4 = -l - l, 5*l - 16 = -4*m. Suppose h = -3*h - 5*k + 5145, 0 = 5*h + l*k - 6429. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 21308000 to the nearest 100000.\nAnswer: 21300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 5 + 2574?\nAnswer: 2580","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 8 and 7.\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 2\/620335 - 4358729\/5081784320. Calculate the common denominator of -11\/4 and t.\nAnswer: 8192","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 43867 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of 57, 206, 445, 774, 1193, 1702?\n\"Answer: 45*t**2 + 14*t - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let z(o) be the third derivative of -27 - 1\/12*o**4 + 0*o + 2*o**2 + 0*o**3. Let b(f) = -16*f. Determine z(b(n)).\nAnswer: 32*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {z: 1, e: 1, b: 2, j: 1}. What is prob of sequence ezz?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -5?  (a) -60  (b) -1\/3  (c) -4\/31  (d) -0.5  (e) -3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*w = -7*w + 10, 5*w = 4*r - 32294. What are the prime factors of r?\nAnswer: 2, 3, 673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1058995 is divided by 10081?\nAnswer: 490","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve 27*w - 9*w - 587 = 133 for w.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let g(w) = 37724*w + 37722*w + 37718*w + 690*w**2 - 113164*w. Let d(b) = 11*b**2. Determine d(g(l)).\nAnswer: 5237100*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-6 + 29)\/((-2)\/(-6)). What is the third derivative of -26*w**2 + 23*w**5 - u + 69 wrt w?\nAnswer: 1380*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(p) = -3*p**2 + 567*p + 11. Let s(j) = 578*j. What is h(s(y))?\nAnswer: -1002252*y**2 + 327726*y + 11","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -13 - -2442?\nAnswer: 242a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 48\/7 and 29\/9?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 919 - 918. Let i(y) = y**3 - y**2. Let t(h) = 5*h**3 + 9*h**2 + h. Calculate w*t(f) - 4*i(f).\nAnswer: f**3 + 13*f**2 + f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve 65*x - 268*x = 812 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 14 + -94. Let b = 78.74 + z. Round b to one dp.\nAnswer: -1.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -46?  (a) 1  (b) -2\/39  (c) -436  (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Total of 5350336.9 and 4.5143.\nAnswer: 5350341.4143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 1538\/33 or 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of -71, -24, 23, 70, 117, 164?\n\"Answer: 47*f - 118","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is -1 > -180\/42131?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let r(i) be the first derivative of 9*i + 3\/2*i**2 - 37. Let p(c) = -c - 3. Let m(n) = n + 3. Let b(d) = -7*m(d) - 6*p(d). Calculate -11*b(u) - 4*r(u).\nAnswer: -u - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Put -4, -0.53, 14, -1, 4\/7, 0 in decreasing order.\nAnswer: 14, 4\/7, 0, -0.53, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve -51*u = -2468 + 1805 for u.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (10\/125)\/((-52)\/(-195)).\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence tnv when three letters picked without replacement from ftsgnnvf?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.17?  (a) -0.3  (b) 5  (c) 0  (d) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 446 minutes before 5:30 PM?\nAnswer: 10:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-3 + 6 - 1)*(s - 7*s + 5*s)*(-30 - 15 - 28)*(-72*s**3 + 5*s**3 - 25*s**3) to the form k*s**2 + b*s**4 + g*s + q + h*s**3 and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 4 and 53?\nAnswer: 212","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from xxllx. What is prob of picking 2 l and 1 x?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 15 + -20 + -2 + 0 + 5.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -7*t*z**2 - 1280*t + z wrt z?\nAnswer: -14*t*z + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let -5*f**2 - 210*f - 1705 = 0. What is f?\nAnswer: -31, -11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 899.\nAnswer: 29, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*j - 106 = -2*y, -18 = j + 5*y - 49. Let c be 2\/8 - (-57)\/(-4). Let r = c + j. What are the prime factors of r?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 9*d**2 - d**2 - 2*d**2 - 5*d**2 + 6*d as o + c*d + s*d**2 and give s.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 909517846 to the nearest integer?\nAnswer: 174","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let m(t) = -t**2 - 8*t - 17. Suppose -34 = 7*f + 4*q, 23*f + 3*q = 21*f - 6. Calculate m(f).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-2)\/(-8)*2*-2?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 227504 and 354?\nAnswer: 682512","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (-151)\/(-4) - 1\/(-4). Suppose a - 19 = t, 2*t = 2*a + 5*t - j. Calculate the highest common factor of 190 and a.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be -1608 - 0\/(-2)*-1. Does 12 divide l\/(-42) + (-2)\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 13 divide 286?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Round 1018433.9 to the nearest one hundred thousand.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -10*f + 11*f + 5*f**2 - 6*f**2 + 2 to the form n*f + t + j*f**2 and give n.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*d + 4*d = 596. Suppose -5*t + s = -t - d, -5*t = 4*s - 160. Let l = 44 - t. What is the units digit of l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 6465.\nAnswer: 3, 5, 431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 30415?\nAnswer: 5, 7, 11, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(735)*1 + sqrt(15))\/(sqrt(320)*-6).\nAnswer: -sqrt(3)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of -2579084, -5158150, -7737216, -10316282, -12895348, -15474414?\n\"Answer: -2579066*l - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let g(j) = j**3 + 15*j**2 + 12*j - 22. Let m be g(-14). Suppose 2*r = m*r - 24360000. What is r rounded to the nearest one million?\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-12 - 3780\/(-306))*(-68)\/(-20).\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from eooooeoeoeoooo. Give prob of picking 2 e.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 6164?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -6 + 13. Let t(r) = -r + 8. Let f be t(d). Let i(l) = -131457*l - 7 + 262933*l - 131477*l. Let b(n) = -1. Give f*i(u) - 6*b(u).\nAnswer: -u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 8212 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Factor t**2\/4 - 32817*t\/2 + 1076955489\/4.\nAnswer: (t - 32817)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence gtz when three letters picked without replacement from {t: 1, z: 1, g: 1}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -53\/22336 and -39\/160?\nAnswer: 111680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve 9*u + 8 = 5*u for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: 0 - -3 - (2 + -3 + 2)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -15 = 63*q - 58*q. What is the remainder when 22 is divided by q - -6 - -10 - (3 + -3)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of -2538561, -5077062, -7615563, -10154064, -12692565, -15231066?\n\"Answer: -2538501*w - 60","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*f - 292 + 8 = 0. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 18 and 27?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 361770\/11 + -32893. Find the common denominator of h and (9\/(-12))\/(27\/6).\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 41.2 - 179.2. Let q = 1612424711 - 1612424849.0000083. Let b = z - q. Round b to six decimal places.\nAnswer: 0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -145*w + 3055 = -8912 + 2542 for w.\nAnswer: 65","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10*i + 492 = -7*i. Suppose 3*v - 2*n - 156 = -5*n, n - i = -3*v. Let b = v - 53. Solve s - b*w - 18 = 0, s + 2*w + 7 = -0 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -5562 + 16771. What are the prime factors of r?\nAnswer: 11, 1019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(p) = -10*p**2. Let w(m) be the first derivative of 0*m + 13 + 0*m**2 + 1\/3*m**3. Calculate g(w(x)).\nAnswer: -10*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-35)\/(-6)*1\/2*-3)\/((-5)\/20).\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of 24710, 24722, 24734?\n\"Answer: 12*d + 24698","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Express -97*x**4 + 96*x**4 + 54*x**4 + (-12 + 12 + 16*x**2)*(0*x**2 + 2*x**2 - 4*x**2) as z*x**2 + i*x**3 + l + b*x**4 + h*x and give b.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence sb when two letters picked without replacement from {s: 1, e: 1, b: 2, w: 2, i: 1}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 265313*n**3 + 27*n**2 - 3*n + 7546811.\nAnswer: 1591878*n + 54","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (f\/(f*f**1))\/(f**4\/f)*((f\/f**1)\/f*f)**(1\/15)*(f**(-2\/7))**(-6)\/(f*f*f\/f**0*f)**(-6\/7) assuming f is positive.\nAnswer: f**(8\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 742 - 736. Differentiate -16 + 94*h**4 + 4 - p wrt h.\nAnswer: 376*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 7*s - 26 = -6*s for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 82410.\nAnswer: 2, 3, 5, 41, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 3642 is divided by 90?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in -3\/2, 0.02, 2, -29\/6, -11, 21?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let x(t) be the second derivative of 3\/2*t**3 + 29*t + 0 - t**2. Let h be x(-1). Which is greater: h or -7?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of 7681, 7667, 7643, 7609, 7565, 7511?\n\"Answer: -5*p**2 + p + 7685","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 45\/63 - 6273\/(-126). Is x <= 51?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 1326 - 1326. Which is the second biggest value?  (a) -169  (b) 0.4  (c) 2\/7  (d) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 600557 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is -550 < 0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 34777?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 3109 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 1090.8 - 1085.8. Which is the nearest to -0.3?  (a) j  (b) 12  (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: (80\/(-60))\/(52\/507)\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-5*(3 + sqrt(76)\/sqrt(4)*1 + -1 - -3*(-2 + 4 + sqrt(19) + sqrt(76)\/sqrt(4))))**2.\nAnswer: 2800*sqrt(19) + 24875","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 1775 to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let t(r) = 14*r**2 - 2*r + 1. Let n(c) = c - 1. Calculate -6*n(k) - 3*t(k).\nAnswer: -42*k**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2114*w - 3813*w + 1738*w.\nAnswer: 39*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -3186998, -6373985, -9560968, -12747947, -15934922?\nAnswer: -19121893","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (y**(-1\/2)\/y)**32*y**(-10)\/(y*y**(-2\/29)) assuming y is positive.\nAnswer: y**(-1709\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 6684326 is divided by 2228061.\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let c(h) be the second derivative of -64*h**3\/3 - 5*h**2\/2 + 257*h. Is c(-5) a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 0.6 and 149.327?\nAnswer: 89.5962","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is one twentieth of a kilometer in meters?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence lxc when three letters picked without replacement from cneoelx?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2, -79, -2, -96, 4 in descending order.\nAnswer: 4, 2, -2, -79, -96","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let l(s) = -s**3 - 89*s**2 - 1691*s + 49. What is l(-27)?\nAnswer: 508","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 3801 to the power of 1\/2, to the nearest integer?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (8\/(-20))\/((-8)\/10). What is the nearest to 0.4 in -0.3, 4, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2 smaller than 330\/487?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 1263370929 to the power of 1\/2, to the nearest integer?\nAnswer: 35544","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence jvj when three letters picked without replacement from {v: 4, j: 6}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -129 - -131. Solve -3*z + 21 = 5*j, h = z - 0*z for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (5*sqrt(18)*3)\/(4*sqrt(576)).\nAnswer: 15*sqrt(2)\/32","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 33*s - 748 - 2948 = 0. Find the common denominator of -19\/10 and ((-2904)\/s)\/((-120)\/14).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1\/3 in -0.6, 1784\/5, 0.4?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -u - u + 4. Suppose 0*n - 31 = -5*y - u*n, 5*n + 3 = -y. Let v = y - 3. Let k(w) = -w**3 + 4*w**2 - w - 1. Calculate k(v).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(i) = i + 4. Let j be w(1). Let f = 6 + -4. Which is the nearest to -2\/7?  (a) f  (b) 4  (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*m + 2*k = 16, 25*m = 30*m - 4*k + 6 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -60*v = -437 - 2623. Let k = -67 - -646. Suppose 3*m - k = 4*a, -v = 3*m + a - 645. Does 19 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -88*d**4 + 43*d**4 - 2*d + d**2 + 47*d**4 + 18 to the form i*d**2 + v*d**3 + o*d**4 + k*d + f and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*d + 131 + 73 = 0. Calculate the lowest common multiple of d\/(-14) - 18\/63 and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.00020985 rounded to 5 dps?\nAnswer: -0.00021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Convert 20 (base 4) to base 15.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*d + d + 4. Calculate the remainder when 12 is divided by d.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -6, 31, 445, -1, -3, 0 in ascending order.\nAnswer: -6, -3, -1, 0, 31, 445","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: 1503556 (base 7) to base 12\nAnswer: 99587","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*m**2 - 448844*m - 1346514.\nAnswer: -2*(m + 3)*(m + 224419)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -50 + -1a9?\nAnswer: -209","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 12877 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -2 + (-2 + -2 - (0 + 0))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:54 PM and 6:44 PM?\nAnswer: 110","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve -25*a - 9*a - 340 = 0 for a.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 24405.74 - 24769. Round s to the nearest 10.\nAnswer: -360","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -2ba4c (base 16) in base 8?\nAnswer: -535114","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let j(t) = 5*t. Let s(z) = 21275321*z**2. Calculate j(s(r)).\nAnswer: 106376605*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 132 + -78. Calculate the remainder when k is divided by 18.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 27*a - 8177 = -8*a - 2*a. Calculate the highest common divisor of a and 117.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -472125 - -8965949\/19. Let s = 233 + m. What is the second biggest value in 2\/7, s, -1\/5?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of -194, -373, -536, -677, -790?\n\"Answer: v**3 + 2*v**2 - 192*v - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let s(f) = -2*f. Let c(z) = -227145114*z. Determine s(c(w)).\nAnswer: 454290228*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Expand 3*d**3 - 3*d**3 - d**3 + (d + 0*d - 3*d)*(1619221 - 1619221 - 322*d**2).\nAnswer: 643*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -6638*j**3 + 21627*j**3 - j**2 - j**2.\nAnswer: 14989*j**3 - 2*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -7.8 - -8. Let k = -12\/59 + 38\/767. Let z = -9713 - -9712. Which is the third biggest value?  (a) j  (b) z  (c) 0.3  (d) k\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -1876 + 3464. Suppose -5*a - d + 2553 = 0. What is the hundreds digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1104479 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Round 123000 to the nearest 10000.\nAnswer: 120000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 10.198 + -10.198009881. Round p to 7 decimal places.\nAnswer: -0.0000099","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: -0.6 times 1287.74\nAnswer: -772.644","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let m be ((-120)\/(-18))\/((-5)\/(-15)). Factor 1132*i + 45 - 1172*i - m*i**3 - 92*i**2 - 13.\nAnswer: -4*(i + 1)*(i + 4)*(5*i - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -3868929*v*y**3 - 40*y**3 + 2*y + 12521 wrt v.\nAnswer: -3868929*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 1380 and 330?\nAnswer: 15180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2156?\nAnswer: 2, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let x(a) = -2*a**2 + 53*a - 9. Let h(i) = -4*i**2 + 115*i - 19. Let y(k) = 6*h(k) - 13*x(k). Let w(f) = -f**2 - f. Determine -w(g) - y(g).\nAnswer: -g**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let l(m) = -4*m**2 - m + 6. Give l(-2).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -104*z + 11376 = 87*z + 18 - 2967 for z.\nAnswer: 75","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -0.13 + -0.07. Let g = 25 + -24. Let j be g\/3 + 153\/(-621). What is the smallest value in j, 2, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 775750666?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve 365286249 = 75*w + 365284974 for w.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 759 - 750. Suppose 0 = -u*p + 19*p - 11000. Does 44 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 d and 1 e when two letters picked without replacement from {v: 2, m: 4, d: 1, x: 1, e: 11}?\nAnswer: 11\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let y(k) = k**3 + 10*k**2 - 8*k + 12. Let o be y(-11). Calculate the remainder when 21 is divided by 12\/7*o\/(-6).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -9*w + 297 - 508 + 213 - 11*w - 13*w.\nAnswer: -33*w + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2894572?\nAnswer: 2, 61, 11863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -907, -954, -1027, -1126, -1251, -1402?\nAnswer: -1579","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (5 - 3 - 1)*((0*s - 4*s + 2*s)*(-3*s**2 - 2*s**2 + 3*s**2) + 3*s**2 - s**3 - 3*s**2 + (-2 + 6 + 1)*(s**2 - s**2 - 2*s**3)).\nAnswer: -7*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 12 and 69172.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let s(h) = h**3 + 16*h**2 + 16*h + 12. Suppose -3*f = 18 + 27. Let y be s(f). Let u be (-75 - 0)*600\/y. What is u rounded to the nearest ten thousand?\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 845 - 828. What is the remainder when 1080\/(-16)*(-2)\/1 is divided by b?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*y = 2, -6*d = -2*d - 4*y - 12. Suppose -d*j = 2*k + 32 - 104, 5*k - 40 = -3*j. List the prime factors of j.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -688057, -5504697, -18578423, -44037775, -86011293, -148627517, -236014987?\nAnswer: -352302243","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -5.8 + 5. Let h = -0.7896 - r. What is h rounded to 3 decimal places?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 114547 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 268726?\nAnswer: 2, 134363","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -8*(-56)\/(-96)*144\/21.\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let v(k) = 87*k + 2710. Determine v(-31).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (0 + -3*((-2*sqrt(136) - sqrt(136) - sqrt(136))*-5)\/(-1*sqrt(200)))**2.\nAnswer: 2448","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-55)\/352)\/((4464\/(-128))\/(-93)).\nAnswer: -5\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-8)\/52 + 1810\/(-65). Which is smaller: -29 or y?\nAnswer: -29","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 33997 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 1612.219809 rounded to the nearest one hundred?\nAnswer: 1600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let r(p) = -p**3 - p**2 + 38. Is r(0) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -13*v - 5 + 5 = 0. Suppose 2786 = 3*b - 19*l + 23*l, v = -4*b - 3*l + 3703. What are the prime factors of b?\nAnswer: 2, 461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -188*y - 2*u + 143 = -183*y, -3*y - 2*u + 81 = 0. What is the remainder when 1642 is divided by y?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -42214901 - -42214905.1999931. Let r = 21 - 25.2. Let g = r + d. What is g rounded to 6 decimal places?\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 2\/21, 0.2, -34?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let z(f) be the third derivative of 0 - 1\/20*f**5 - 13\/6*f**3 + 0*f + 3*f**2 + 0*f**4. What is the derivative of z(q) wrt q?\nAnswer: -6*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.631 + 214.8.\nAnswer: 214.169","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((u\/((u\/((u*u\/(u\/(u\/((u*u*u**(-4))\/u))))\/u))\/u))**2)**(-2\/3))**(10\/11) assuming u is positive.\nAnswer: u**(-200\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: -11 divided by -5\nAnswer: 11\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.06 - -48?\nAnswer: 48.06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((m**(-5\/2)*m)**(-2\/3)*(m\/((m**27\/m)\/m*m))\/m**(1\/3))**(-10\/9) assuming m is positive.\nAnswer: m**(730\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is -19 + (55 + 37 - 94)?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let u be ((-174)\/3)\/(0 - 2). Suppose 44*c - u*c = 420. What is the least common multiple of 35 and c?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of -41904, -83803, -125704, -167607, -209512, -251419, -293328?\n\"Answer: -v**2 - 41896*v - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is seven halves of a microgram in nanograms?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -1d6c - -96?\nAnswer: -1cc6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4 = s - 100. Let x = s - 96. Factor 5\/4*a**3 + 1\/2*a**2 + 0 + x*a.\nAnswer: a**2*(5*a + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5\/3, -0.4, -2, 0, 18.\nAnswer: -2, -5\/3, -0.4, 0, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let t(y) = -y**2 + 10*y - 12. Let u be 1\/(-3 - (-82)\/27). Let l = 35 - u. Calculate the remainder when t(l) is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 5\/(90\/(-4)) - 52\/(-72)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(s) = -s**3 + 6*s**2 - 3*s + 4. Suppose 2*y + c = 72, 64 = 2*y + c - 2*c. What is the remainder when y is divided by n(4)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 1129561598?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4*l**2 + 2 - 2)*(2*l + 2 - 2)*(0 + 0 - 4*l).\nAnswer: -32*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 37abd3 - 2?\nAnswer: 37abd1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (-8)\/12 - 4\/((-36)\/5577). Let z(r) = 7*r**2 - c*r + 1238*r - 619*r. Let b(m) = 2*m. What is b(z(g))?\nAnswer: 14*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let q(v) = -v. Suppose f - 5*b - 17 = 0, 3*f + 4*b = -f - 4. Let x(w) be the first derivative of f - 3\/2*w**2 + 0*w. What is x(q(a))?\nAnswer: 3*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0132012 to three decimal places.\nAnswer: -0.013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 4, -11, -4, -39, 1.2, 26?\nAnswer: 26","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -14*o + 21*o = 12*o - 1120. What is the highest common divisor of 4984 and o?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(o) = -7475*o - 112128. Calculate h(-15).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -16 - -39. Is n*(-478)\/(-18) - (-12)\/54 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-2 - (-20 + 6)) + -17?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -100 - -132332331?\nAnswer: 132332231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 73\/880 + -3\/80. What is the common denominator of ((-370)\/150)\/(2\/3) and w?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 8843347 to the nearest integer?\nAnswer: 2974","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4 = 2*f - 16. Solve -25 = -4*l - c, l - 4 - f = -c for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 38297 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve -9951*n + 3*l + 14 = -9949*n, 3*l + 8 = -4*n for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (-24)\/6*296 + 1. Let w = j + 2005. What is the hundreds digit of w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 107 + (-41 - (75 + -48))?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1 + ((sqrt(104) + (1*sqrt(104) - sqrt(104)))*-6)\/sqrt(8) + sqrt(208) + (sqrt(208)*1 + sqrt(208))*3.\nAnswer: -1 + 22*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -3247 divided by -17857.\nAnswer: 3247\/17857","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let y(d) = -11*d - 23. Let f(x) = 5*x + 11. Let s(g) = 13*f(g) + 6*y(g). Let l(i) = -i + 4. Calculate 5*l(a) - 4*s(a).\nAnswer: -a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Express -8 + 3 + 7 + 6*x - 2 + 2 in the form w*x + t and give t.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 661 minutes before 6:02 PM?\nAnswer: 7:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 592 minutes before 1:30 PM?\nAnswer: 3:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 58824?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (1\/((-12)\/8))\/(6\/45).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 a when three letters picked without replacement from {a: 6, j: 4}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -444 or -11068\/25?\nAnswer: -444","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -51\/341 + -1\/31. What is the second biggest value in f, -3\/4, 3?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*j + b + 55 = -187, -2*j + 118 = b. Suppose -j = -58*a + 54*a. What is the remainder when 41 - 4\/(-2) - 0 is divided by a?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0 - 8 - (37 + (-3 - (1 + -1)) - -7)\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*j + 7 = 3. Let r be 2*((-5)\/j - 0). Solve 4*t + 5 = -f, 4*t = r*f + 2 - 1 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 221717974319 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let l(c) be the third derivative of -c**7\/560 + c**6\/720 + c**5\/20 - 2*c**2. Let j(q) be the third derivative of l(q). Determine j(-1).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((x*x*x**(-2))**(-11\/4))**(-4)\/((x\/x**(-6)*x)\/x**(-2\/5))**(-3\/46) assuming x is positive.\nAnswer: x**(63\/115)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: -334.6+7\nAnswer: -327.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -13 - -20. Suppose -3*m - q = -2*m - u, 0 = 4*m - 3*u + 29. Let c = m + 2. Let d(y) = -y**2 - 7*y - 3. Determine d(c).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many litres are there in 6496.194ml?\nAnswer: 6.496194","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 1\/(((-1)\/3)\/(19\/(-38)))?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 184 minutes after 4:11 AM?\nAnswer: 7:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 1025675662?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of -19534, -39208, -58882, -78556?\n\"Answer: -19674*v + 140","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -227*i = -221*i - 864. Is i a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Are 27844 and 27882 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let z(o) = o**2 + 7*o + 6. Let l be z(-5). Let q = 1 - l. Is q a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 55 + -29. Let h = -2 + 4. Suppose -5*w + h*a + 3*a = 0, 5*a = -2*w + 14. Solve 2*t + w*x + 10 = t, 4*x = -5*t - d for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -6 = -3*p, 0 = -8*z + 7*z + 2*p - 1 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 36 - 26. Let n be (-2)\/u + (-11)\/(-5). Suppose n*j = -h, h + 3*j = -h + 3. What is the units digit of h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of 24138, 96573, 217306, 386337, 603666, 869293?\n\"Answer: 24149*b**2 - 12*b + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*j + 9*o - 83, -59*j + 58*j = 2*o - 19. Put -5, j, -3, -23, 2 in decreasing order.\nAnswer: j, 2, -3, -5, -23","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 0 + -6. Let y(b) = -b**3 - 1. Let k(v) = -v**4 - v**3 - 4*v**2 + 3. Let r(g) = d*y(g) - 2*k(g). Factor r(h).\nAnswer: 2*h**2*(h + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(u) = 2*u**2. Suppose 3*b + 0*b = 0. Let d(z) be the third derivative of 0*z**3 + 2*z**2 - 1\/12*z**4 + 0 + b*z. What is r(d(c))?\nAnswer: 8*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Express (2*c - c + 2*c)*(c - 1 + 1) + 8*c + 155*c**2 - 18*c + 10*c as q*c**2 + r*c + t and give q.\nAnswer: 158","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let j(q) = 74*q - 798. Let z be j(11). Solve -13*c + z = 3*c for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 107340  (b) -0.2  (c) -3  (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let u(q) = q + 11. Let w = -29 - -20. Let y be u(w). Suppose -y*d = -5*h + 77, 0*h + 3*d = 2*h - 33. Is h a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(d) be the first derivative of 3*d**4\/2 - 13*d - 37. Let z(f) = 3*f**3 - 6. Calculate -4*i(h) + 9*z(h).\nAnswer: 3*h**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-24)\/33*8\/32. Suppose 0 = r + r + 2. Let z = r + 0. Which is smaller: z or q?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(f) = f**2 - 2*f - 7. Let l be c(4). Solve -w - l = 4*o - 11, -o + 2 = 0 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(g) = 2*g - 6. Let p(f) = -f + 5. Let t(n) = -4*p(n) - 3*z(n). Let o(q) = q**3 + q + 1. Calculate -4*o(w) - 2*t(w).\nAnswer: -4*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of -81072650, -81072651, -81072652?\n\"Answer: -v - 81072649","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 199 is divided by 40?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-5 + 5 + y)*(3*y - 3*y + y)*((0 + 4 - 3)*(-y - 3 + 3) + 4*y - 4*y + 2*y).\nAnswer: y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence eeqq when four letters picked without replacement from {e: 3, q: 3}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 289*l + 54 + 247*l - 34 - 2*l**3 - 721*l to z*l + a + m*l**2 + u*l**3 and give a.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is -2413825 at most as big as -2413825?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -17*u + 712 + 1613 = 183. What is the remainder when 4029 is divided by u?\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 117357 is divided by 4513?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*s = -5*y - 770, 5*y - 622 = -4*s + 3*y. Does 3 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 430042367.\nAnswer: 430042367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 85 and 33714145?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 2294788554 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 25556437 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*g - 4*q = 3 - 35, 4*g - 4*q = -8. Suppose 5*l + 31 = -2*m + 6*m, 0 = -2*m - 2. Sort 4, g, l, 11 in increasing order.\nAnswer: l, g, 4, 11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 8*t**6 + 59*t + 9*t**4 - 2*t**5 - 9*t**4 + t**2 + 194*t wrt t?\nAnswer: 960*t**3 - 120*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 419 minutes before 2:33 AM?\nAnswer: 7:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -3\/2?  (a) -8  (b) -4\/3  (c) 6  (d) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let l(f) = 147*f - 1185. Determine l(8).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 111 minutes after 6:06 AM?\nAnswer: 7:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 230\/(-92)*4\/6. What is the closest to -14 in 0.3, -5, -2, b?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1472 - 0.3.\nAnswer: -1472.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: (20 - 10585\/435)\/(13\/(-21))\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 10.673 + 0.127. What is w rounded to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 592 and 180412.\nAnswer: 721648","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 131 + 245. Suppose -8*h = -b - 144. Suppose -5*p + 960 = h. What is the units digit of p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 0.1 + 0.1. Let f = 36 - 33.3. Let y = f - 3.1. Which is the closest to 0.1?  (a) -2  (b) h  (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from bzczs. Give prob of picking 1 b and 1 c.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 121*o**3 - 14*o**2 - 2*o**2 + 24*o**2 + 154*o**3 - 8*o**2.\nAnswer: 275*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((t\/(t*t**9*t))\/t*t\/t**(2\/9)*(t**(4\/3))**(2\/35))**39 assuming t is positive.\nAnswer: t**(-41548\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 1465179858 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let y(b) = -b**2 + 2*b + 85. Let z be y(10). Suppose 3326 = 7*c - 3*c - 2*u, -z*c - 3*u = -4141. What are the prime factors of c?\nAnswer: 2, 5, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does -156\/7 = -23?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 6*h**2 + 0*h + 2 + 0*h - 9*h**2.\nAnswer: -3*h**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -144, -873, -2104, -3849, -6120, -8929, -12288?\nAnswer: -16209","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let h(a) = 11 + 6*a + 0*a - 3*a. Let q(s) be the third derivative of s**4\/12 + 7*s**3\/6 - 13*s**2 + 5*s. Calculate 5*h(r) - 8*q(r).\nAnswer: -r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 4705597?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-548)\/204 - (-2 - 1). Let z = k - -6\/17. Let y = 1 + -0.8. Which is the third biggest value?  (a) 0.4  (b) y  (c) -5  (d) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 0.8263083 litres?\nAnswer: 826.3083","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*x = -p - 20 - 279, -223 = -3*x + 2*p. What is the tens digit of x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(q) = 775*q - 247. Is 6 a factor of o(2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 39757 is divided by 5678.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 1402151?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve -t**4\/2 - 16*t**3 + 33*t**2\/2 = 0.\nAnswer: -33, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 14 - 0. Let s = 13.8 - b. Let a = s + 0. Which is smaller: a or -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -1, 0.1, 0.5, -1823\/13?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1\/2, -1\/4, 2\/5, 13\/7 in descending order.\nAnswer: 13\/7, 1\/2, 2\/5, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of 27188, 108758, 244708, 435038, 679748, 978838?\n\"Answer: 27190*y**2 - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Does 173 divide 15570?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: How many milligrams are there in eleven tenths of a gram?\nAnswer: 1100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 336696 to the power of 1\/2, to the nearest integer?\nAnswer: 580","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -3 - -21?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let o(y) = 6*y**4 + 3*y**3 + 3*y**2 - 3*y. Let u(d) = 11*d**4 + 7*d**3 + 5*d**2 - 7*d - 1. Let t(a) = -5*o(a) + 3*u(a). Factor t(w).\nAnswer: 3*(w - 1)*(w + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 4467, 8943, 13403, 17841, 22251, 26627?\nAnswer: 30963","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of -7156, -14355, -21576, -28831, -36132, -43491, -50920, -58431?\n\"Answer: -2*b**3 + b**2 - 7188*b + 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 64 and 3136.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 1\/3 - 23547\/52605.\nAnswer: -4\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: 2 times -8304601\nAnswer: -16609202","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*f - 138 = 4*f. Let a = f + 119. Calculate the greatest common factor of 125 and a.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(v) = -v**2 + 3*v. Let d = -5 + 9. Let g be o(d). Put -3, g, 4 in descending order.\nAnswer: 4, -3, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 1084 - ((-3)\/12)\/((-2)\/8). Suppose -12*o + 273 + b = 0. Let z = o + -102. What is the remainder when 54 is divided by z?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -j + 2*d = -72, 3*d = -3*j + 131 + 85. Let t be j\/14*70\/4. Let u be (-3)\/(-5)*t\/243. What is the smallest value in u, 2, 5?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*p - 3 = -203*f + 208*f, 3*f = p - 2 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let x(d) = -d**3 + 6. Let w be x(0). Suppose h + 4 = -4*f, 0 = -5*h + f + w + 16. Suppose 183 = h*c - 129. What is the remainder when c is divided by 20?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -3.68 times -11?\nAnswer: 40.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let g(f) = 3*f**2 + f**2 - f**2. Let n(h) = -h - 14. Let b be n(-10). Let w(v) = -v. Let q(s) = 6*s. Let x(z) = b*w(z) - q(z). Determine g(x(i)).\nAnswer: 12*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5*(2*sqrt(171) + (sqrt(57)\/sqrt(3)*2 - sqrt(19)) - (2*sqrt(950) + sqrt(950) - sqrt(950))\/(sqrt(4)\/sqrt(8) - sqrt(2))).\nAnswer: -135*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 8628, 17260, 25896, 34536, 43180, 51828?\nAnswer: 60480","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*m - 10*m = -56. Let a be (-2)\/(-8) - 78\/(-8). Let q = a + 0. Calculate the lowest common multiple of q and m.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(g) = -16*g - 147 - g + 144. Suppose q = i - 1, 2*q - q + 3 = -i. What is the units digit of n(q)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*s**4\/9 - 1766*s**3\/9 - 1742*s**2\/9 + 1172*s\/3 = 0. What is s?\nAnswer: -879\/4, -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-410)\/(-35) + -15 - (0 + 3). Let m = -52899 + 1481327\/28. Let u = m + l. Is 0 > u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {j: 3, f: 3, k: 2, q: 7}. What is prob of sequence kj?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: -5 - ((-5 - -5) + -1 - 3 - 2)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (12*g**2 + 23*g - 23*g - 2)*(0 + 0 - 2*g**2).\nAnswer: -24*g**4 + 4*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-24)\/(-120))\/((-18)\/(-20))?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -2 in -0.1, -44, 9, -2\/5, 0.09?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 524*z**2 - 834*z - 830*z + 3320*z - 823*z - 833*z.\nAnswer: 524*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 4073 or 4102?\nAnswer: 4102","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*w + 32 = -3*r + 2*w, -5*w = -r - 24. List the prime factors of (0 + (-6)\/r)*10.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 3.5 and 1495.\nAnswer: 5232.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -16187, -26943, -37699, -48455, -59211?\nAnswer: -69967","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 116.999745 - 117. Round o to 3 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 155*w - 1794*w - 502*w - 51*w in the form f*w + n and give f.\nAnswer: -2192","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let h(q) be the second derivative of 1\/28*q**7 + 4*q**3 + 25\/8*q**4 + 0 + 60*q + 7\/20*q**6 + 57\/40*q**5 + 3*q**2. What is p in h(p) = 0?\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find s such that -3*s**3 + 20370*s**2 - 10958931*s + 10938564 = 0.\nAnswer: 1, 588, 6201","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*j + 2*j - 72 = 0. Suppose -12*w = -9*w - j. What is the highest common divisor of w and 108?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 181939000 rounded to the nearest 1000000?\nAnswer: 182000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -237 + 262. Solve b*t - 40*t - 30 = 0 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 381 and 4272153.\nAnswer: 381","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 21*b - 46*b - 1539 + 3067 - 1528.\nAnswer: -25*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let n(i) = -2*i. Let l(g) = -g**2 - 14*g + 61. Let o be l(-17). Let d(j) = 15 - o + 6 - j + 9. Calculate n(d(m)).\nAnswer: 2*m - 40","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -357 - -358. Which is greater: y or -1\/370?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -59940000 rounded to the nearest one million?\nAnswer: -60000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3674*c + 1026*c - 2713*c - 16044 = -64293 for c.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-21)\/((-147)\/(-42)*1)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*k + 86 = 26. Let i = -179 + 159. Let v be (-11)\/(-3)*k\/i. Is 2 greater than v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 56846428?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence qq when two letters picked without replacement from qqqqqq.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 932 or -138592?\nAnswer: -138592","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -1160025\/11 + 105572. Let m = -115 + c. Find b such that 0 - m*b + 2\/11*b**2 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -5.2066 + 0.2066. Put v, 1\/4, 30 in ascending order.\nAnswer: v, 1\/4, 30","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -211\/5 + 42. Let g be 70\/(-2 - (88\/(-28))\/1). Let k = 61 - g. Which is the closest to -0.1?  (a) k  (b) q  (c) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of -1564205, -1564206, -1564207, -1564208, -1564209?\n\"Answer: -t - 1564204","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (u\/(u*u*(u\/(u\/(u**(-2\/17)\/u)))\/u*u*u*u)*u)**(2\/85)\/(u*(u*u*u\/(u*u\/u**(-2\/7))*u)\/u)**(13\/2) assuming u is positive.\nAnswer: u**(-22584\/2023)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 103 (base 11) in base 9?\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose l = -1 + 6. Let m be (18\/(-7))\/((-3)\/21). Suppose 3*j + 14 = -2*u + 6*j, l*j - m = -2*u. Is u >= -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -54475071, -108950139, -163425207, -217900275, -272375343, -326850411?\nAnswer: -381325479","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 8 + -6. Suppose -5*u = -k + 23, 3*u + 6 = y*k - 12. What is the smallest value in 0.3, -3, k?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(z) = 4*z**3 - 2*z**2 - 2*z + 6. Let s(g) = -3*g**3 - g**2 - g - 1. Calculate -o(d) + 4*s(d).\nAnswer: -16*d**3 - 2*d**2 - 2*d - 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2, 112, 86, 20.\nAnswer: 2, 20, 86, 112","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 4778 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Round 1.2691 to 2 dps.\nAnswer: 1.27","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-4)\/(-7) - (-527)\/119)*1?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 126 + 130. Let g be r\/(-10) - 6\/(-10). Is (-10)\/g + (-1104)\/(-15) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*z + 0*w + 17 = -w, 0 = 2*w - 6. Suppose -z*s = -5*k + 8*k + 6, s + 9 = 2*k. Solve -3*m - 7 = -o, -3*o + 3 + k = -4*m for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-6 - 110\/(-20)) + 27\/2. Let s(v) = v**3 - 10*v**2 - 21*v - 20. List the prime factors of s(u).\nAnswer: 2, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred millions digit of 7864624831?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Expand w**4 + 0*w**3 + 0*w**3 + (-32 - 5*w + 32 + (w - 3*w + 0*w)*(-1 + 4 - 2))*(-3*w**3 - 8 + 8) + 0*w**4 + w**4 - 2*w**4.\nAnswer: 21*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Convert -b0d (base 16) to base 6.\nAnswer: -21033","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of -2471, -9763, -21981, -39179, -61411, -88731, -121193, -158851?\n\"Answer: -9*c**3 - 2409*c**2 - 2*c - 51","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of 102, 104, 108, 114, 122?\n\"Answer: r**2 - r + 102","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 5 + -4. Suppose 8*q - 87 = 17. Calculate the smallest common multiple of x and q.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -141.7847061325 + -2.0153021975. Let v = o + 143.8. Round v to six dps.\nAnswer: -0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 583 minutes after 12:04 AM?\nAnswer: 9:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (-4)\/(-8)*(-3 - 1). Let u be 212745\/(-1498)*a\/24. Let y = u + 30\/749. Find the common denominator of 51\/8 and y.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 2535715 and 48178585.\nAnswer: 48178585","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve -8075*h = -8061*h + 154 for h.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let -80586*i**3 - 107058*i**2 - 26342*i + 130 = 0. What is i?\nAnswer: -1, -1\/3, 65\/13431","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (4*6*((sqrt(245)*2 - sqrt(245)) + -3))**2 - (-3*((2*sqrt(55) - sqrt(55)) + sqrt(55)))\/(sqrt(275)*-1).\nAnswer: -120966*sqrt(5)\/5 + 146304","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let c(w) = 2*w**2. Let d = 348 + -348. Let f(l) be the second derivative of 0 + d*l**2 - 3*l + 1\/3*l**3. Calculate c(f(q)).\nAnswer: 8*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let a(k) be the third derivative of -19*k**5\/30 - 19*k**3\/3 + 2*k**2 - 34. What is the derivative of a(v) wrt v?\nAnswer: -76*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 426.\nAnswer: 2, 3, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 3 + -2.6. Let x = -3.4 + u. Which is the closest to 1\/5?  (a) -2  (b) x  (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((x*(x*x**(-1\/4))\/x)**(-1\/47)\/((x**(-4)*x)\/x**(-4)))\/(x**(2\/11)*x\/(x\/(x*x\/((x*x**(-2\/3))\/x*x*x))))**(-16) assuming x is positive.\nAnswer: x**(77921\/6204)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -131113, -262313, -393633, -525133, -656873?\nAnswer: -788913","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Convert 24010.4007s to days.\nAnswer: 0.27789815625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -2*g**2*p + 3*g**2 - 211*g*p**3 - 2*p**3 + 562*p - 2 wrt g.\nAnswer: -4*g*p + 6*g - 211*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let v(h) = -h**2 + 38*h - 72. Let k be v(36). Suppose k = -2*q + p + 1877 + 494, -2*q + 3*p = -2373. What is the units digit of q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence bx when two letters picked without replacement from {s: 4, m: 2, b: 1, f: 3, x: 2}?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 5968 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 16441\/4 or 1085?\nAnswer: 1085","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2, 1, 34, -3 in decreasing order.\nAnswer: 34, 1, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of -14077, -22074, -30073, -38074, -46077, -54082?\n\"Answer: -r**2 - 7994*r - 6082","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -39902*t = -39597*t - 9150 for t.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let x(w) = -3*w**3 + w**2 - w - 6. Let z(g) = 4*g**3 - g**2 + 2*g + 7. Give -5*x(a) - 4*z(a).\nAnswer: -a**3 - a**2 - 3*a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -x - 37 = -f + 14, 0 = -4*x + 2*f - 210. Let i = x + 58. Solve i = -4*w - 16 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -90*k = -89*k - 5 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 5959283*z - 2996*z**5 + 5732*z**2 - 5959283*z wrt z?\nAnswer: -179760*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 7 + 51836?\nAnswer: 51844","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (d*d*(d\/(d*d**(10\/9)))\/d)**(-10\/7)*(d**12)**(-1\/14) assuming d is positive.\nAnswer: d**(-44\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -378.237 + 378. Let j = -7.887 - c. Round j to the nearest integer.\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many seconds are there in one eighteenth of a hour?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -4643872 - -41735543\/9. Suppose -8*c = -3*c - 32905. Let j = y + c. What is the common denominator of 37\/4 and j?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"}
{"text":"Question: Solve -29*z + 6*z = -138 for z.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1*(3 + sqrt(114)\/sqrt(6))*4 + (-1*(sqrt(95)*2 - sqrt(95)) - sqrt(95))\/(sqrt(160)\/sqrt(8)).\nAnswer: -5*sqrt(19) - 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 30884 is divided by 264.\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Factor 5*p**3 - 9595*p**2 + 4598400*p + 4608000.\nAnswer: 5*(p - 960)**2*(p + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 922458369 to the power of 1\/8, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Factor -q**2 + 0*q**2 + 0*q**2.\nAnswer: -q**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 124350 is divided by 2220?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let j(f) = -f**2 + 24*f + 18. Let r be j(20). Let x = 103 - r. Suppose 5*y - x*i = 2*y + 9876, 4*y = -3*i + 13139. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 13 - -55. Let n be ((-6)\/(-8))\/((-17)\/z). Put n, -4, -5 in ascending order.\nAnswer: -5, -4, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -19 or 5152930?\nAnswer: -19","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from zzmymmvzmy. Give prob of sequence ym.\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 5\/8 of a litre in millilitres?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of -916345, -915774, -915203, -914632, -914061, -913490?\n\"Answer: 571*p - 916916","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -695 + 188 = -39*x for x.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -3 + 1415*n**3 + 0 - 6*n - 1379*n**3 + 2 to the form c*n**2 + k + o*n**3 + s*n and give s.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from ipyeyieipppipep. Give prob of sequence pii.\nAnswer: 12\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let c(p) = -7*p + 1. Let j = 248 - 145. Let q(m) = -209*m + j*m + 108*m. Give q(c(n)).\nAnswer: -14*n + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 108*r - 2444 + 716 = 0. Solve -r*n - 7 = -103 for n.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(m) = -m**3 - 10*m**2 - 10*m - 9. Let p be g(-9). Suppose -4 = -2*i - p*i. Find the third derivative of 3*q**4 - q**2 - 3*q**i - q**2 wrt q.\nAnswer: 72*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -61 - 56*h - 53*h + 108*h + (3*h - 3*h + h)*(2 - 2 - 2) - h - 2*h + 2*h + 7*h - 3*h - 2*h.\nAnswer: -2*h - 61","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -41 - -45. Let j be 2*(6\/q + 1). Suppose 0 = 5*f - 4*n - 170, 3*f - j*n = 6*f - 65. Calculate the greatest common divisor of f and 45.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(i) = 97*i + 4. Let w(m) = 292*m + 11. Determine -11*r(j) + 4*w(j).\nAnswer: 101*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-708)\/(-4)*1*(3 - 6). Let z = -196 - r. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2162*z**3 - 1078*z**3 - 1082*z**3.\nAnswer: 2*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of 131, 132, 131, 128, 123, 116?\n\"Answer: -c**2 + 4*c + 128","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 70272 + -38161. What are the prime factors of w?\nAnswer: 163, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of -271, -273, -275?\n\"Answer: -2*x - 269","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:35 AM and 7:25 AM?\nAnswer: 410","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -0.3289 + 348.3289. What is the closest to 0 in 2, 4, 3, t?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 2144 + 387. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (8\/28)\/(2\/14). Let s(g) = g. Let x(f) = 2*f + 1. Let c(o) = 7*s(o) - 2*x(o). Let z be c(l). Solve h - 1 = -3*u, z*u = 3*h - 1 - 2 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 270635 to the power of 1\/5, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let x(i) be the third derivative of 452*i**7\/105 + i**6\/60 + 38*i**5\/5 - i**3\/3 + 1822*i**2. What is the third derivative of x(s) wrt s?\nAnswer: 21696*s + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 2 + (1 + -1)*-1. Let t = x + -1. Differentiate -4 + 4 + t + 3*c**2 with respect to c.\nAnswer: 6*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -53*r = -143*r + 72*r + 72. Let v = 5 - 2. Solve 0 = -5*w - r*j - 41, -4*w - 2*j = 25 + v for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:44 AM and 3:06 PM?\nAnswer: 322","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 32 + -32.26. Let g = 17.74 - u. Let n = -18.0000035 + g. What is n rounded to six decimal places?\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(x) = 305*x + 3402. What is b(-14)?\nAnswer: -868","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 2*n - n - 8*n - 2*n - 5*n**2 wrt n?\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (6 - 46*w**2 + 78*w**2 - 64*w**2)*(-w**2 + 2*w - 2*w).\nAnswer: 32*w**4 - 6*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence bbb when three letters picked without replacement from ibbihfbbiib.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is -6420 (base 10) in base 7?\nAnswer: -24501","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (q**(-11))**(-26\/3) assuming q is positive.\nAnswer: q**(286\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 189 - 173 = 8*u. Suppose 3*a - 4*n + u = 0, -5*a + 4*a = 2*n - 6. Calculate the highest common factor of 2 and a.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 291296843 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2719.\nAnswer: 2719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 15 a factor of 1059?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.001566556 rounded to 5 dps?\nAnswer: 0.00157","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 54 + -5?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -128 = 43*h - 59*h. Solve -8*f + 10*f = -h for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -4235608*d**3 - 511140*d**2 + 4?\nAnswer: -25413648","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 2228 and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Does 19 divide 15927?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 8 - (30\/(-4) + 5 - 404\/(-40)).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 901816186?\nAnswer: 2, 14389, 31337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((t\/t**(-4\/3))**41\/(((t**(3\/5)\/t*t)\/t)\/t**(2\/9)))**(-34\/5))**(12\/7) assuming t is positive.\nAnswer: t**(-84184\/75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let w(d) be the third derivative of -d**5\/12 + 1598*d**2. Let v(q) = -q**2 + 85. Calculate w(v(l)).\nAnswer: -5*l**4 + 850*l**2 - 36125","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let m(g) = -5*g**2 + 5*g - 2. Let y(f) be the second derivative of -f**4\/12 + f**3\/6 + 16*f - 2. Let c(u) = m(u) - 6*y(u). Factor c(r).\nAnswer: (r - 2)*(r + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*b + 1140 = 3064. What is the hundreds digit of b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -45 + 45.23. Let r = -1.77 - j. Let y = 0.4 + 4.6. What is the smallest value in y, 2, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of 60758, 60701, 60624, 60527, 60410?\n\"Answer: -10*k**2 - 27*k + 60795","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let g(v) = v**2 - 7*v - 8. Let f(q) = q**2 - 6*q - 7. Let n(o) = -6*f(o) + 5*g(o). Calculate n(0).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -262.91845 rounded to the nearest one hundred?\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 6, 25, 62, 123, 214, 341, 510, 727?\nAnswer: 998","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let a(b) = -2*b**3 - 295*b**2 - 199*b - 7644. Give a(-147).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let o(g) = -2*g. Suppose 0 = -d - 10*d + 55. Let x(j) be the third derivative of -j**4\/6 - 2*j**2. Suppose -31*w - 6 = -28*w. Calculate d*o(r) + w*x(r).\nAnswer: -2*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -48 - -56. Suppose -y = 4*i - 1, 3*y + i - 4*i = 18. Suppose y*m + d = 18. Solve -o - m*o + 3 = 0 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 493751?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 61366 and 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 174590, 349200, 523810, 698420?\nAnswer: 873030","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Divide 4182 by -82.\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: 113348 divided by -2\nAnswer: -56674","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let f(q) = 2*q + 66. Let u be f(-31). Let r = 6 - 10. Let a be 3\/((-3)\/(-7)) + -2. Sort a, u, r in ascending order.\nAnswer: r, u, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence xt when two letters picked without replacement from tzx.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of 226, 187, 70, -167, -566, -1169?\n\"Answer: -7*s**3 + 3*s**2 + s + 229","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 61 - -374?\nAnswer: 445","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: 0.1 - 857998549\nAnswer: -857998548.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of 2330, 2334, 2340, 2348, 2358?\n\"Answer: b**2 + b + 2328","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let s(j) = j**3 - 16*j**2 - 30*j - 25. Is s(18) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 13 - 13.28. Let m = 1.06 + n. Round m to one dp.\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 6 and 1362?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-447)\/5066)\/(405\/(-255)).\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 79184.5 - 79118.4973. Let y = -38 - -104. Let h = y - b. What is h rounded to three dps?\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -11*y + 5*x + 42 = -10*y, -12 = 4*x. Suppose 3*a + 3*n + 15 = y, 20 = 5*a - 3*n. Solve -5 = -a*s + 9*s for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 493 is divided by 418.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let i be ((-8)\/(-12))\/((-1)\/(-9)). Let d = i + -2. What is the lowest common multiple of d and 10?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -7*p + 4*p - 15 = 0 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 12 - 14. Let h(d) = -d**2 - 24*d - 30. Let g be h(-23). Let p be ((-2)\/2)\/(7\/g). Sort s, p, -5, 0 in increasing order.\nAnswer: -5, s, 0, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 4572, 4557, 4542?\nAnswer: 4527","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: 82b (base 14) to base 3\nAnswer: 2012112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -20966147\/8 + 3983576133\/1520. Let k = n + 1\/304. Let o = 123\/20 - k. Do o and 2 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(q) be the first derivative of 13319*q**2\/2 - 13842. Let a(u) = -u. Calculate k(a(x)).\nAnswer: -13319*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let i be ((-14)\/(-4))\/((-2)\/4). Let j(h) = h + 4. Let y be j(i). Let p(s) = s**3 + 5*s**2 + 4*s - 1. Calculate the lowest common multiple of 10 and p(y).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 0.5  (b) -0.2  (c) -2\/319  (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 28459810 is divided by 809?\nAnswer: 808","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.3?  (a) 64\/27  (b) 1  (c) 1\/5  (d) -2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*v - 13 + 9 = -c, -4*c + 5 = -v. Sort 6, 1, -3, v in increasing order.\nAnswer: -3, v, 1, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -240 - 21\/5*x**2 - 4206\/5*x.\nAnswer: -3*(x + 200)*(7*x + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: -9 + (19 - (31 - 7)) + 0 + 3\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Express 7 + 9 + 10*h - 89*h + 29*h + 18*h as v*h + i and give v.\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose r + 2 = 5*o - 139, 4 = r. Let z = o + -17. What is the lowest common multiple of z and 14?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 20952, 41762, 62572, 83382?\nAnswer: 104192","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (2\/(-4))\/(((-770)\/20)\/(-7))*-4.\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 227804860853 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0 in -1\/4, 4, -3\/20, -3\/76, -0.03?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 14*y + 35 = 21*y for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Factor -q**2 + 1954*q - 954529.\nAnswer: -(q - 977)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0002102414192 rounded to four decimal places?\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let h(p) = p**3 + 10*p**2 - 16*p - 4. Does 17 divide h(-11)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate i**3*z**2 - i**3 + 137*i + 5*z**4 + 3*z**2 wrt z.\nAnswer: 2*i**3*z + 20*z**3 + 6*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (28\/11 - 2)*2\/6. Which is the closest to y?  (a) -13  (b) -1  (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1.68 rounded to the nearest integer?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 20 - 17?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let t be -1 - 4 - 63\/(-13). What is the closest to t in -2, 2, -6?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0 in -0.2, 1674, 2\/5, 0.78, -4?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*d = 4*m - 20, -5*m - 359 = 188*d - 97*d for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 12\/(-8) - 1\/2?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {i: 1, b: 1, n: 2, j: 1}. Give prob of sequence njn.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 5183?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: 1062793320 divided by 448436\nAnswer: 2370","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3*((sqrt(104)\/(sqrt(2) - -2*sqrt(2)))**2 + (sqrt(468) + 1)**2).\nAnswer: -4273\/3 - 36*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -164 + 155.95. Let o = l + 8. Let v = -7.3 + 11.3. What is the second biggest value in 1, o, v?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 50674537?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {h: 3, d: 12}. What is prob of picking 3 d and 1 h?\nAnswer: 44\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1291406 is divided by 52.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Divide 2 by 30539.\nAnswer: 2\/30539","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -0.2397 - -0.169. Let x = w + 0.070701756. Round x to 7 dps.\nAnswer: 0.0000018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of 2079, 10881, 26405, 48651?\n\"Answer: 3361*g**2 - 1281*g - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:11 PM and 9:01 PM?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let s(o) = o**3 - 9*o**2 + 13*o + 6. Let h be s(7). Let g = -9 + 15. Let p(j) = j**2 + j - 1. Let d(t) = 8*t**2 + 6*t - 4. What is g*p(k) + h*d(k)?\nAnswer: -2*k**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1563 is divided by 480?\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let f(a) = -a + 8. Let l be f(-2). Suppose -l*b + 304 - 104 = 0. Solve -3*j + b = j for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 391 and 34.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -1\/261 or -9?\nAnswer: -1\/261","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let n(u) = 8*u. Let i(l) = -3*l + 8*l + 30*l**2 - 7*l + 2*l. Calculate i(n(s)).\nAnswer: 1920*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 71210 to the power of 1\/2, to the nearest integer?\nAnswer: 267","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -0.02514 + -0.07486. Are 2\/3429 and f unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.1 in 2\/13, 33, -2, 0.9?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 44 + -42. Solve -h*g - 2 = -g for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -82, 0, -16, -105, -1 in decreasing order.\nAnswer: 0, -1, -16, -82, -105","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 35156021 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -67*a = -4708587 - 557613. Round a to the nearest 100000.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4 + sqrt(343) + sqrt(343)*-1 + sqrt(343) + 4 + -5.\nAnswer: 3 + 7*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 444253?\nAnswer: 444253","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let c(t) be the second derivative of -1\/3*t**3 - 1\/2*t**2 - 32*t - 2 - 17\/20*t**5 + 0*t**4. Find the second derivative of c(j) wrt j.\nAnswer: -102*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 v, 1 w, and 1 h when four letters picked without replacement from wkhnvwhwvvvkn.\nAnswer: 36\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -31608, -31361, -31114, -30867?\nAnswer: -30620","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: -634402 (base 16) to base 15\nAnswer: -887834","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 2\/(-42) - 245566\/12957?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -1 or -5\/821?\nAnswer: -5\/821","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 9666279 is divided by 2161?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 26*a**2*m**2 + 59*a**2 - 389*a*m + 2802173*m**2 wrt a.\nAnswer: 52*a*m**2 + 118*a - 389*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -v + 0 = -3. Calculate the lowest common multiple of 3 + (0 - 2 - -1) and v.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 13 + -30717?\nAnswer: -30704","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let g(f) = -f**2 - 6*f + 5. Let n = 11 - 18. Let d be g(n). Is d at least as big as -1\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 2  (b) -2  (c) 8136\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 4 + 6 + -6 - -25?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 3 + 5?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*h - 962 = -302. Let v = h + -98. What is the highest common factor of 29 and v?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 0 - -1. Suppose -m + 1 = -q. Suppose -d + 4 = m. Solve d = -4*z + 2*z + 2*a, -3*a = 4*z + 11 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -68.7032489 - 0.6.\nAnswer: -69.3032489","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -1\/2015 + -17727\/10075. Put k, -5, -4 in decreasing order.\nAnswer: k, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(u) = 2*u**2 + 11*u - 2. Calculate the remainder when 189 is divided by o(-7).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence xy when two letters picked without replacement from {x: 2, u: 2, y: 1, d: 1, l: 1}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve -33*d - 376 = -80*d for d.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let y(z) = 66*z**2 - 33*z + 185. What are the prime factors of y(9)?\nAnswer: 2, 2617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(l) = -7*l. Let o be u(1). Let x be (6\/(-4))\/(9 + o). Which is the nearest to -0.1?  (a) x  (b) 0  (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3 = -n + 8. Solve 8*k - 3*k + n = 0 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(a) = -a**3 + 18*a**2 - 17*a + 43. What is y(18)?\nAnswer: -263","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 11 - -121303022210?\nAnswer: 121303022221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -0.052156 - -0.04722. What is z rounded to four decimal places?\nAnswer: -0.0049","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.2, 4\/11, -9, -1\/3, 0.5, 2.3 in descending order.\nAnswer: 2.3, 0.5, 4\/11, 0.2, -1\/3, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*r - 3*r - r)*(7*r**2 - 3*r**2 - 2*r**2) - 2*r**3 - 3*r**3 + 6*r**3 + (-r + r + 2*r)*(6*r - 3*r**2 - 6*r).\nAnswer: -9*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.1?  (a) -0.2  (b) 3\/2  (c) -2\/11  (d) 1\/54  (e) -2458\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2 + (-2*sqrt(143))\/sqrt(11).\nAnswer: -2*sqrt(13) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 4814383*g**2 - 4814378*g**2 + 1784*g - 1784*g.\nAnswer: 5*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -68.91 - -69. Put -3, 0, s in descending order.\nAnswer: s, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: ((-43)\/(18060\/(-160)))\/((-48)\/(-280))\nAnswer: 20\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: -10 + 1 + (343 - 318)\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 33 - -11831?\nAnswer: 11864","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 5, -0.7, -3, -11\/3?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: How many milliseconds are there in 9375.263 minutes?\nAnswer: 562515780","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 137\/60 and 139\/240.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Convert 11bc4 (base 14) to base 5.\nAnswer: 2342423","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -162.1137067 - -162.0057. Let n = -0.108 - h. What is n rounded to 6 decimal places?\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(q) = 3*q**3 + 2*q - 1. Let c be u(1). Let i = c - 5. Let x be 5\/5 - (2 + i). Solve 4*g = -x + 4 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3 + 64*m + 20333*m**3 - 20320*m**3 - 10*m.\nAnswer: 13*m**3 + 54*m - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 86\/75 and -56\/2925?\nAnswer: 2925","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 49*j - 151*j + 52*j + 54*j.\nAnswer: 4*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Put 7, -6, 271 in decreasing order.\nAnswer: 271, 7, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:59 PM and 10:45 PM?\nAnswer: 586","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let z(h) = -6*h**2. Let v(q) = q**2 + q - 2. Let t(x) = -16*x**2 - 4*x + 12. Let g(d) = -t(d) - 6*v(d). Determine z(g(a)).\nAnswer: -600*a**4 + 240*a**3 - 24*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let u(f) = f**2. Let p(o) = 3397*o + 1. Give u(p(q)).\nAnswer: 11539609*q**2 + 6794*q + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1414839 is divided by 7072.\nAnswer: 439","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Round 1827.411974 to zero dps.\nAnswer: 1827","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -60 = -7*n + 4*n. Let d be 1*(21 - (2 - 1)). Suppose d = m + m. Calculate the highest common factor of n and m.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be ((-18)\/6)\/((-4)\/20). Solve 8 = -4*i - 0, -3*d + 3*i = -x for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 88 divide 35288?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -64830047*a**4*m**2 + 11*a*m + 98387*m**2 - 35 wrt a.\nAnswer: -777960564*a**2*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -26 in -23, -4.1, 17\/6?\nAnswer: -23","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is -175171 + 17175?\nAnswer: -157996","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*w - 5*o = -2*w + 5, 3*w = o + 12 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*w = -2*i - 106, 749*w - 748*w + 5*i - 5 = 0 for w.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let n(a) be the third derivative of 7*a**6\/120 + a**3 + 2*a**2. Differentiate n(t) with respect to t.\nAnswer: 21*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: 23 - 13 - ((7 - 5) + 3 + -1)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 1311165?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 521846098?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Divide 9215115 by -2355.\nAnswer: -3913","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let b(v) be the third derivative of v**6\/60 - 7*v**5\/6 + 61*v**4\/4 - 87*v**3 - 5*v**2 - 2*v + 241. Determine z, given that b(z) = 0.\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(p) be the first derivative of -p**4\/4 + 7*p**3\/3 + 3*p**2 - 3*p + 71. What is the tens digit of z(6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -80.091725 to two dps.\nAnswer: -80.09","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 8*s*t**2 - 2931*s*t - 71*t**2 - 2*t wrt t?\nAnswer: 16*s - 142","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let m(w) = 36*w - 33. Let y(p) = -110*p + 101. Let t(v) = 7*m(v) + 2*y(v). What is the first derivative of t(k) wrt k?\nAnswer: 32","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 13734 is divided by 12.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -2 + 22*s**2 + 0 - 14*s**2 wrt s.\nAnswer: 16*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -669793 to the nearest 100000.\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -84.5, -3, 5, 1\/6, 0.4, -0.2?\nAnswer: -84.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 78791 is divided by 377?\nAnswer: 375","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3 + ((sqrt(540) + sqrt(540) + sqrt(540)*-1 + sqrt(540))\/sqrt(5))**2.\nAnswer: 429","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 20 a factor of 457040?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve -11 = -3*o + 4*l - 14, -2*o = 5*l + 2 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 253682?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((1*sqrt(390))\/sqrt(10))\/((1*sqrt(6))\/sqrt(2)).\nAnswer: sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {e: 7, m: 2}. Give prob of sequence ee.\nAnswer: 7\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Does 27 divide 422958?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 4718 - -4?\nAnswer: 4723","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -596 - -1089. Let d be 84\/462 + c\/11. Is 42 less than d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 31933 and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 0.4  (b) 254  (c) 102\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 24236 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*c - 2*i + 5*i - 19, 3*i = -c + 11. Suppose w = 2*k - 2, 3*w + 4 + c = k. Suppose k = -5*x + s - 2*s - 21, 4*s = 16. Which is smaller: -1 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.5, -1\/5, -5, 2, -1.11 in decreasing order.\nAnswer: 2, 0.5, -1\/5, -1.11, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Does 158 divide 6708298?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 1405 + -1157. Is b a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 334536 is divided by 10168.\nAnswer: 9160","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve -847*h = -353*h + 616*h - 57720 for h.\nAnswer: 52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 8395 is divided by 46.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is -76218 divided by 6?\nAnswer: -12703","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is (520\/24)\/(-13)*-3?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let u(i) = -i**3 + 5*i**2 - 3*i - 4. Suppose 1 = s - 3. Let a be u(s). Which is smaller: a or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth smallest value?  (a) 4  (b) -1\/6  (c) -1635  (d) 1  (e) 253\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 1b + -13b3433?\nAnswer: -13b3414","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is -1210390000 rounded to the nearest 1000000?\nAnswer: -1210000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let l(m) = 16*m**3 + 5*m**2 + 11*m. Let w(v) = 2*v**3 - v**2 + 3*v. Let z(d) = -3*d**3 + d**2 - 4*d. Let y(j) = -6*w(j) - 5*z(j). Determine 2*l(i) - 11*y(i).\nAnswer: -i**3 - i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -1541 - -4018. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence rrzq when four letters picked without replacement from zzqzrzrzzqqqnirzqzq?\nAnswer: 1\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*j = -48 - 164. Let c = -68 + j. Let z be (-9)\/c - 8\/(-20). Solve z = -r - 0*r for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of (-39)\/6*(-60)\/(-195) - -4970?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 467921\/(-2002638) + 6\/38. Suppose 5*x - o + 6 = -2*o, -4*x = -4*o. Is a at most as big as x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -959 - -13a550?\nAnswer: 1396a2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -19*m**3 - 9*m**3 + 16*m**3.\nAnswer: -12*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1 - -11 - (10 - (-12 + 20)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 17 a factor of 23486503?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 4?  (a) -3  (b) -2\/7  (c) 2.5  (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 62 a factor of 23250?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 1.0977 rounded to 1 dp?\nAnswer: 1.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.1, 0.05, -3, -1, -0.2 in increasing order.\nAnswer: -3, -1, -0.2, -0.1, 0.05","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve -12 = -o - o - 2*i, -5*o + 2*i = 5 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 17313 - 554075\/32. Find the common denominator of m and -73\/4.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*k - k = 0. Solve k = 3*q + 1 + 5 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 45\/7843736 and -26\/229471.\nAnswer: 86281096","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-533)\/26 + 11)\/(3\/6).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 183 - 285. Let r = s + 267. What is the units digit of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 1 or 61856?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*u - 13 = s + 47, -3*s = -3*u + 48. Let d = u + -24. Let c = 19 + d. Solve -4*w + 10 = 3*i, 4*w = c*w - i for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.045 + 45599.4.\nAnswer: 45599.355","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -75 - -74.979. Which is bigger: 0.1 or k?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1.47669 - 29?\nAnswer: -27.52331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 0 and 51.5.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Work out -3 - -0.00225.\nAnswer: -2.99775","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let g(p) = 812*p - 9093. Determine g(11).\nAnswer: -161","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let t(d) = -d**2 - 32*d - 54. Let s be t(-16). Let k be 10\/6 - (-2)\/6. Suppose 0 = 3*w + 2*i - 41 + 364, k*w + 4*i + s = 0. What is w rounded to the nearest 10?\nAnswer: -110","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 1951 - 1948. Factor 2\/15*v**j - 2\/15*v**2 + 0*v + 0.\nAnswer: 2*v**2*(v - 1)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 707738?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 552335?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 132 or 550?\nAnswer: 550","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 48 divided by -39.\nAnswer: -16\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let v(x) be the first derivative of x**4\/6 + 14*x**3\/9 - 34*x**2\/3 - 80*x\/3 + 478. Determine l so that v(l) = 0.\nAnswer: -10, -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -332359*r**4 + 97661*r**2?\nAnswer: -7976616*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 247273 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let g(a) = -94*a. Let c(z) = 6*z**2. Calculate c(g(y)).\nAnswer: 53016*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:18 PM and 2:45 PM?\nAnswer: 27","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 3930, 31434, 106136, 251652, 491598, 849590?\nAnswer: 1349244","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Express (-2*v**2 - 2*v**2 + 6*v**2)*(-1 + 6 - 2*v - 2) + 3*v**3 - 13*v**3 + 15*v**3 in the form y*v**2 + s*v**3 + o + d*v and give y.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1368*k + 13539 = 1175*k + 20*k - 14654 for k.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 44?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -2 + 60?\nAnswer: 5a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*f - 74 = -2*p, -4*p - 50 = -0*f - 2*f. Let h = -102 - -131. Let y = h - -37. What is the greatest common factor of y and f?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (x**(4\/5)*x)\/(x*x**(-6\/11)\/x) assuming x is positive.\nAnswer: x**(129\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of -366587, -366881, -367175, -367469, -367763?\n\"Answer: -294*n - 366293","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*g - 61 = -4*l - 23 - 10, 4*g = 8 for l.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 4924560165?\nAnswer: 3, 5, 7, 43, 1090711","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (z**(-3\/4)*z\/z**9)\/(z**1\/(z\/(z\/(z*z**14\/z)))) assuming z is positive.\nAnswer: z**(17\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -1001101 + 101100100?\nAnswer: 100010111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -3426 - -3957. Does 7 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-150408)\/125340*(20\/207)\/(-4)?\nAnswer: 2\/69","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 6 + -6. Let o be 3 + f\/(-2) + (17 - 15). Let r = 0.59 - 1.09. Which is the third biggest value?  (a) r  (b) -0.3  (c) 1  (d) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -57\/8893 at least 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -0.2, 4, 0.24, -114, 0.1?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 13 = 5*x - x + l, -29 = -5*x + 3*l for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let o(p) = -23*p**2 + p - 36. Let s be o(-17). What is s rounded to the nearest 1000?\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -5  (b) 0.5  (c) 2\/3  (d) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 0.06 or -56\/3?\nAnswer: -56\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let n(u) be the third derivative of 23*u**7\/105 + 4*u**3 - 3*u**2. Differentiate n(a) wrt a.\nAnswer: 184*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(r) = -r. Let p = 52 - 50. Let k(y) be the first derivative of -p + 17*y + 0 - 15*y. What is k(v) + x(v)?\nAnswer: -v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 599 minutes after 10:05 PM?\nAnswer: 8:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-272)\/51 - 1\/(-3). Put s, -7, -2 in increasing order.\nAnswer: -7, s, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be ((-4)\/(-9))\/(415\/45 + -9). Suppose 16 + 9 = 5*z. Calculate the highest common factor of t and z.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 542013?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let o(h) = h**2 - 15*h. Let n be o(11). Let l = -22 - n. What is the remainder when (-8)\/(-6)*1353\/l is divided by 17?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(c) be the first derivative of -c**2 - 1. Let v = 13 - 10. Let l(n) = 5 - 5 + 4*n - v*n. Give l(p(w)).\nAnswer: -2*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 280 minutes after 2:48 AM?\nAnswer: 7:28 AM","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is e84 + -76?\nAnswer: e0e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 0 + (-2 + -1 - -5). Suppose 0 = n - m*n + 13. Solve -4*a = -5*k - n, 4*a + 8 = 3*k + 19 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 36530556 is divided by 84?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -1589, -1586, -1583, -1580?\nAnswer: -1577","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 813.\nAnswer: 3, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:44 AM and 7:09 AM?\nAnswer: 145","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2\/9, -4, 0.3, -0.21, -1 in ascending order.\nAnswer: -4, -1, -2\/9, -0.21, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange ((-2 + 3 - 2)*(0 - 5 - 2) - 3 + 4 + 0)*(-3*q + q - 8*q) + (-6*q + q + 4*q)*(0 + 3 + 0) to w + c*q and give c.\nAnswer: -83","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -23\/2330 and 112\/(-1848) + (-2 - 767\/(-2310)).\nAnswer: 16310","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 333 and 29769.\nAnswer: 3304359","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: How many centuries are there in 0.8249012 decades?\nAnswer: 0.08249012","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let t(i) = -2*i**2 - 14*i + 331. Give t(-17).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 - 6 + 2)*(-3*g**2 - 3*g + 3*g + (-g**2 - g**2 + g**2)*(3 - 2 + 1) + 1 - g**2 - 1).\nAnswer: 18*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10*y = 12*y - 5*t - 273, -4*y + 5*t + 561 = 0. Let v = 403 - y. What is the hundreds digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(s) be the first derivative of -9 + 1\/21*s**6 - 2\/35*s**5 + 4\/21*s**3 + 1\/7*s**2 - 2\/7*s - 1\/7*s**4. Suppose q(z) = 0. What is z?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 217, 181, 121, 37, -71, -203, -359?\nAnswer: -539","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 1918757100?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 8*j**2 - 10*j**2 - 2*j - 7 + 3*j**3 + 12 to the form i*j**2 + u*j + k + g*j**3 and give i.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -5*i - 3*q - 22, 279*q + 8 = -2*i + 278*q for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 19849 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:31 PM and 5:19 PM?\nAnswer: 48","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -48541, -1\/2, 2\/5, -2\/3, 5, 2\/3, 0.3?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((s**10*s*s*s*s*((s*s*s**(-7\/4))\/s)\/s)**21)**27)**(2\/25) assuming s is positive.\nAnswer: s**(27783\/50)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 204 is divided by 16.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of -31104, -64020, -96936, -129852?\n\"Answer: -32916*x + 1812","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let m(a) be the third derivative of 3*a**2 + 5\/2*a**3 + 11\/24*a**4 - 3\/20*a**5 + 0 - 1\/120*a**6 - 2*a. Determine m(-10).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -h + 7 + 7. List the prime factors of h.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(v) be the second derivative of v**4\/12 + v**3\/2 + 2203*v**2\/2 + 6*v - 3. Is h(0) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 196 = 199?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is -4 - -13 - (-33 + 31)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Round -12839.9827 to the nearest 10.\nAnswer: -12840","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 334 - 321. Let t(u) = 2*u**2 - 25*u - 14. What is t(i)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 5371, 7\/4, -3, 3 in ascending order.\nAnswer: -3, 7\/4, 3, 5371","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let l(t) = 9*t. Let v be l(2). Suppose 2*y = 5*y - v. What is the units digit of y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -4.5 + 9.5. Suppose -6*u + 4*u - 3*l - 6 = 0, -4*u - 4*l - 4 = 0. Which is the third biggest value?  (a) f  (b) -0.4  (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -16*o + 2592 = -25*o. Suppose -4*g - 148 = 2*j + 376, -5*g + 5*j - 655 = 0. Let q = g - o. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -3146.1 - -3285. Round q to the nearest ten.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.19 times 0.14?\nAnswer: -0.0266","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -16 or 2883.6?\nAnswer: 2883.6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*b - 18 = -3*v - 4*b, -2*v - 4*b = -16. Let u be 3 - 1 - (1 + 0). Which is greater: u or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (4\/6)\/((-3)\/(-486)). Let s = p - 55. What is the units digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -115\/12 and 83\/2834244?\nAnswer: 2834244","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2098398?\nAnswer: 2, 3, 19, 79, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5, -195, 5, -3, -11889 in decreasing order.\nAnswer: 5, -3, -5, -195, -11889","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let u(s) = -7*s - 4 + 9*s + 0 + 2. Let p be u(2). Suppose -360 = -5*n + p*j, 4*n + 5*j = j + 316. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-6)\/(-10) - 188\/200. Let c = p - -287\/50. What is the common denominator of (124\/(-6) - -2)\/2 and c?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (9\/6)\/(6\/88). Let v = i - 7. Solve 3*z - v + 3 = 0 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0*1374.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -126578*g**2*t**3 - 2*g**2*t**2 - 62*g**2*t + 1281*g*t**3 + 26154*g*t**2 wrt g?\nAnswer: -253156*t**3 - 4*t**2 - 124*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 2, 10, 30, 68, 130, 222, 350?\nAnswer: 520","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let o(h) = -h**2 - 7*h - 6. Let z be o(-6). Suppose -23 = -x + d, 4*d + 23 - 3 = z. Calculate the highest common factor of x and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -2818 - -4005. List the prime factors of k.\nAnswer: 1187","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(a) = a**3 + 124*a**2 + 2844*a + 1361. Give r(-30).\nAnswer: 641","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-1539)\/72)\/(-9) - (2 - 2 - -3)?\nAnswer: -5\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (6 - 1) + -1 - 1. Factor -98*g**2 - 98*g**v + 7*g + 5*g + 8 - 4*g.\nAnswer: -2*(g + 1)*(7*g - 2)*(7*g + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: 142 divided by 1\nAnswer: 142","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.4?  (a) 13\/5  (b) -1  (c) -4.8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let j(u) = -14 - 12 + u + 26. Let y(r) = 4*r**2. Determine j(y(z)).\nAnswer: 4*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let c(z) = -6*z**2 + 3*z**2 - z + 1 - 3 - 45*z**3. Let v(f) = -f**2 + 6*f - 3. Let j be v(6). Is c(j) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*k + 3*k - 5*k)*(-143 + 350*k + 951*k + 142).\nAnswer: 1301*k**2 - k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -121211253*v**4 - 280058391*v**2 wrt v?\nAnswer: -2909070072*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is -4 times -1185089?\nAnswer: 4740356","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let y(v) be the third derivative of 53*v**6\/12 - 359*v**4\/8 - v**3\/6 + 371*v**2 - v. Find the second derivative of y(s) wrt s.\nAnswer: 3180*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((5*(sqrt(102)*5*-3 + sqrt(102)))\/(sqrt(36)\/(sqrt(24)\/(sqrt(16)\/sqrt(4)))))**2.\nAnswer: 83300","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: ((-6)\/5)\/(36 - 38)\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -441f6 - -5?\nAnswer: -441f1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Factor d**5 - 61571*d**4 - 184722*d**3.\nAnswer: d**3*(d - 61574)*(d + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 2\/(-3)*(-7422)\/(-4948)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 29556418?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 4\/(5 + -37)*(-2 + 64) and 9\/34.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 1\/6  (b) 1  (c) 45  (d) 0  (e) -1.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -6050, -12017, -17900, -23699, -29414, -35045?\nAnswer: -40592","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 176, 253, 328, 401, 472, 541, 608?\nAnswer: 673","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10*c - 36 = 4*c. Let w(q) = 2*q**2 + 12*q + 10. List the prime factors of w(c).\nAnswer: 2, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 3103\/3?  (a) -2\/5  (b) 0.839  (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 99.233 + -99. Let d = l + -62.433. What is d rounded to the nearest integer?\nAnswer: -62","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 833768.2 decades to years.\nAnswer: 8337682","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 2309*n - 1372*n - 1322*n + 20790 for n.\nAnswer: 54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (12 - (-9 + 10)) + -10.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -29 + (-7 + 16 + -17 - -9).\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 3063*w + 1 - 11 - 5*w**2 + 0 - 3072*w to the form l + z*w**2 + a*w and give l.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -169, -179, -205, -253, -329, -439, -589?\nAnswer: -785","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 50*l**5 - 103*l**3 + 399*l - 6 wrt l.\nAnswer: 1000*l**3 - 618*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 4964?\nAnswer: 2, 17, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -495 - -492. Let s = 1 + 2. What is the nearest to -1 in f, s, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine d, given that -6*d**3\/7 + 6690*d**2\/7 + 227112*d\/7 + 31488 = 0.\nAnswer: -32, -1, 1148","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Does 5 divide 124285?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let z(b) = -10*b**2 - 953*b - 35. What is z(-95)?\nAnswer: 250","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let v(l) = l**2 - 329*l + 6161. Determine v(20).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*r + 22 = -18. Solve 0*m + r = 2*m for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 4539 and 24?\nAnswer: 36312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -22*o + 81*o = 236. Suppose 0*f = -3*f - 3*p + 3285, 2*p = -o*f + 4372. Does 55 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*q + 7 = -487. What is the second derivative of q*r**2 - 247*r**2 - 2*r**5 - r wrt r?\nAnswer: -40*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -367 divided by -18?\nAnswer: 367\/18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let h be -2 + 11 + (0 - 7). Determine u so that -4\/7*u**3 + 0*u + 0 - 1\/7*u**h - 3\/7*u**4 = 0.\nAnswer: -1, -1\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 6 + aa592c?\nAnswer: aa5934","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -1228642707*t**3 + 140751214 wrt t?\nAnswer: -3685928121*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let l(g) = 681*g - 36. Does 43 divide l(1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-5)\/(5\/(-2))*(-1)\/3\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -1123960, -2247879, -3371796, -4495711, -5619624, -6743535, -7867444?\nAnswer: -8991351","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -115 - -109. Let a = -20 + 24. What is the second smallest value in a, o, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-1470)\/420*11\/(231\/234)?\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose o = -4*o + 20. Suppose 3*a - 8 = r + r, -o*r = 4*a - 4. Suppose -65 = -a*p + h, -4*p - 2*h - 36 = -170. What is the greatest common divisor of 3 and p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0.574969 * 1\nAnswer: 0.574969","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Does 27 divide 1022?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let j(p) be the third derivative of -p**6\/420 + p**4\/84 - 43*p**2. Factor j(v).\nAnswer: -2*v*(v - 1)*(v + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -2\/11 in -0.358, -0.5, 2?\nAnswer: -0.358","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence mm when two letters picked without replacement from {m: 8, k: 2, q: 4, g: 1, x: 1}.\nAnswer: 7\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Convert -318 (base 9) to base 14.\nAnswer: -148","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 z and 2 r when four letters picked without replacement from rprzrrrrrrzzrrzrz.\nAnswer: 55\/238","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: 460 + -0.00939405\nAnswer: 459.99060595","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-l + 0 + 0 + (-1 + 3 + 0)*(l + 0*l + 2*l)*(2 - 2 + 1))*(0*l - 16*l - 29*l) to the form j*l**2 + q + v*l and give j.\nAnswer: -225","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: How many millennia are there in 0.1782728 centuries?\nAnswer: 0.01782728","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*l - 5*l = -2*j + 17, -j + 7 = -l. Let w(q) = -q**3 - q**2 + 3*q - 4. Let b be w(l). Sort -13, b, 0 in increasing order.\nAnswer: -13, 0, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(d) be the first derivative of -1\/2*d**2 - d + 1. Let m be l(-3). Solve m*t = -3*t - 20 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((v\/v**7*v)\/(v\/v**(-2\/9)))\/(v**(-1\/8)*v*v**3\/v)*(v**2*v*v**(5\/8)\/v)**(3\/8) assuming v is positive.\nAnswer: v**(-4673\/576)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 1175 a factor of 3740025?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 315343753 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Expand 0*i + i + 2*i + (-2 + 6 - 2)*(-3 + 5 + 0)*(3*i - 2*i + 2*i) + (-1 - 3 + 0)*(-6*i + 4*i + 0*i).\nAnswer: 23*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -9*2 + (-91 - -104)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 24281 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -3*b*w**5 + 277657*b*w**3 - 4*b*w - 479*b + 5*w - 3 wrt w?\nAnswer: -60*b*w**3 + 1665942*b*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 + 5 - 2)*(-2 - 1 + 4)*(-2*k**3 + 3*k**3 - 3*k**3).\nAnswer: -4*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let q(k) = 2*k**3 - 6*k**2 - 414*k - 4. Let s(m) = -2*m**3 + 9*m**2 + 413*m + 5. Calculate 3*q(f) + 2*s(f).\nAnswer: 2*f**3 - 416*f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -24 + 21. Let m be 14\/3 - 1 - 3. Which is the closest to -2\/13?  (a) -1  (b) m  (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 1062077?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-2)\/8)\/(21\/56).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Put -2, 2, -3, -30, 4 in decreasing order.\nAnswer: 4, 2, -2, -3, -30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*o - 4523 = -4541. Solve o = 10*u + 33 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7 = m - 0*m + 4*t, -2*m + 2*t + 4 = 0. Let a be (-2)\/(-3) - 1\/m. Which is smaller: 0 or a?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-3)\/25*((-36059)\/321 + 109).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*d + 130 = 4*o, 0 = 5*o - 5*d - 173 - 27. Calculate the smallest common multiple of 610 and o.\nAnswer: 4270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -1 + 1 - 2*s**3 + 9*s**3 + s**3 - 3*s**3 + 4*s**3 + 2*s**2 - 2*s**2 + (-2*s**2 + 0*s + 0*s)*(0*s - 4*s + 2*s) to x*s**3 + a*s**2 + w*s + p and give x.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 154593 or 154390?\nAnswer: 154390","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let y(n) = n**2 - 28*n - 40. Calculate y(31).\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let p be -8 - -12 - (0 - 1). Suppose -2*l - h = -3 + 8, -2*l = -p*h - 1. Let c be (1\/3)\/(l\/(-24)). Solve 2*u - u + t + c = 0, 2*u + 3 = -t for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 17c + 479?\nAnswer: 606","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3*b**2 - 1562 + 2361*b + b**3 + 3*b**2 - 2361*b.\nAnswer: b**3 - 1562","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is -2 (base 9) in base 13?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -3 - -8. Let h = b - 11. What are the prime factors of 8\/(1 - (-3)\/h)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(p) = -p**2 - 11*p - 27. Let q be a(-5). Suppose w = 3*z + 7, -2*w + q*z = 3*w + 1. Let b(d) = 3*d**2 + 3*d + 2. Calculate b(w).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -155 smaller than -1088\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of 134733, 134739, 134749, 134763, 134781, 134803?\n\"Answer: 2*p**2 + 134731","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*v**5\/9 + 8*v**4\/9 - 2*v**3\/3.\nAnswer: -2*v**3*(v - 3)*(v - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is -26 divided by 434?\nAnswer: -13\/217","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence hhe when three letters picked without replacement from {e: 8, c: 5, h: 5}.\nAnswer: 5\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0*j**2 + 16*j + j**2 + 40 - 63 + 38 = 0.\nAnswer: -15, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 97\/1522136 and 141\/172970.\nAnswer: 7610680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (z**22\/(((z\/(z**(2\/7)\/z))\/z)\/z))\/(z**(-2\/9)*z**13) assuming z is positive.\nAnswer: z**(599\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let r(t) = -7*t**2 - 4*t + 1. Determine r(-3).\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let c(l) = l**3 + 27*l**2 - 2*l - 47. Let s be c(-27). Solve -s*n + 4*n = 0 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((v*v**(-1\/7))\/v)\/(v*(v*v**1)\/v*v))\/(v*v*v**(2\/9)*v)**(-2\/115) assuming v is positive.\nAnswer: v**(-22364\/7245)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 12204108 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: 221220 (base 3) to base 12\nAnswer: 4a3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let k(x) = 2*x**2 - 23*x + 65. Let a be k(7). Solve 8*v - a + 10 = 0 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -1252380 or -135?\nAnswer: -1252380","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 0 or -503\/101041?\nAnswer: -503\/101041","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -467 + 467. Let m = -2303\/13 - -177. Which is the fourth smallest value?  (a) m  (b) u  (c) 1\/3  (d) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*r = r + 2*m + 4, 2*r = m - 10. What is the fourth smallest value in 3, 53, r, 0?\nAnswer: 53","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 189305?\nAnswer: 5, 37861","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: -9 - 16 - (13 - (10 + 10 + 10))\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 437242?\nAnswer: 2, 13, 67, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 986 + -986.4. Let i = -0.1 - -0.14. Let a = -2 + 2. What is the biggest value in i, x, a, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -9894 - -13403. Is f a multiple of 37?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((b**(-2)*b*b**(-2))\/(b\/(b\/b**(2\/7)))**25)**(37\/3))**(-5\/3) assuming b is positive.\nAnswer: b**(13135\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let d(w) = -w + 5. Let p be d(0). Let s = 0 - 0.02. Let m = s + 0.02. Which is the closest to m?  (a) p  (b) 2  (c) -1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (z**(1\/2)\/z)**13\/((z*z**(-1\/18)\/z)\/(z**0\/z)) assuming z is positive.\nAnswer: z**(-67\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-931)\/(-247) - (-6)\/(-10). Let u = d + -36\/13. Which is the third smallest value?  (a) -2  (b) u  (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (-646)\/14 - 14\/(-98). List the prime factors of (12\/(-12))\/(-1 - b\/47).\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -10*g + 4*g = -g + s + 8, 0 = -g - 5*s - 16 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 12 - 7. Let o = -32 - -32. What is the closest to o in -4, l, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 l and 1 i when two letters picked without replacement from iiiiliiiiiiiiiiiiii.\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*q - 271 = 3*h, 2*q - 137 = 5*h - 2*h. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: 1391 (base 16) to base 14\nAnswer: 1b7b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 31 and 496.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 5*((-60)\/80)\/((-30)\/4)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -95818, -95840, -95890, -95986, -96146?\nAnswer: -96388","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*r - 4*r + 5*r)*(r**2 - r**2 - 2*r**2) - 205*r**2 - 17*r**3 + 205*r**2 + r**3 + r**2 + 5*r**2 - 4*r**2 - 1.\nAnswer: -14*r**3 + 2*r**2 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 220 - 1982\/9. Let l = -0.04 - 0.26. Let g = 0.2 + l. Sort g, 0.1, y in descending order.\nAnswer: 0.1, g, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (-1 + 1 - 2*f)*(-142 - 474 - 24 - 1067 - 660) as b + n*f and give n.\nAnswer: 4734","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: -12059 divided by -78\nAnswer: 12059\/78","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 1464493 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: (30\/(-30))\/((-2)\/22)\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -2\/5?  (a) 9  (b) 43  (c) 5712  (d) 4\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 93459, 93463, 93469, 93477, 93487, 93499?\nAnswer: 93513","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 92276 to the power of 1\/3, to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 23213204 a multiple of 37?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between 3082 and 23.711?\nAnswer: 3058.289","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 104\/(-294) - (104\/12 - 9).\nAnswer: -1\/49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-1)\/3 - 5408\/(-24). Calculate the highest common divisor of r and 36.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 106502?\nAnswer: 2, 11, 47, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -201, -419, -639, -861, -1085, -1311?\nAnswer: -1539","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-5 - -5) + (-8)\/2. Sort -5, m, 4 in descending order.\nAnswer: 4, m, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 917 - 916.7. Which is the nearest to 0.06?  (a) 5  (b) -1\/7  (c) m  (d) 0.02\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.2, -79, 0.3, -7\/4.\nAnswer: -79, -7\/4, -0.2, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Express 328 + 321 + 96*v - 970 + 330 + 26*v as o + a*v and give a.\nAnswer: 122","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 21 + 1 - (-23 - -35) - 19 - -65?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:04 PM and 7:15 AM?\nAnswer: 611","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -71*y**2 - 4341*y**3 + 381*y**2 + 4165*y**3 wrt y?\nAnswer: -1056","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (6 + (-410)\/70)\/((-2)\/(-2)). Put -5\/3, 2\/119, j in increasing order.\nAnswer: -5\/3, 2\/119, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(d) = d**3 - 49*d**2 + 51*d - 59. Calculate the remainder when 234 is divided by a(48).\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*d - 3*f = -3*d, f + 1 = 2*d. What is the first derivative of 3 + 2*n**d + 7*n**2 - 7*n**2 wrt n?\nAnswer: 6*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(p) = 7*p. Let m(j) = -5*j**2 + 15. Let n(v) = 20*v**2 - 55. Let r(l) = -22*m(l) - 6*n(l). What is s(r(h))?\nAnswer: -70*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 8956?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(228)\/((3*sqrt(132))\/sqrt(11) - sqrt(12)))**2.\nAnswer: 19\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let n(h) = -h**3 + h**2 + 2*h + 5. Let p be n(0). Find the third derivative of -7*q**3 + 5*q**2 + p*q**2 - 4*q**2 + 7*q**2 wrt q.\nAnswer: -42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be -2 - ((-4)\/14 - (-47)\/(-7)). Suppose -6*m = 4*v - 8*m - 16, -k*m - 10 = -5*v. Solve 0 = 3*a + 3*a - v for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -7 - (-11 - -3 - -12)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0?  (a) 5  (b) 0.12  (c) 2\/7  (d) -0.07\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -21 - -23. Suppose -4*d = d - 10. Suppose -4*m + d*t + 20 = -0*m, -m = -2*t - 8. Calculate the remainder when m is divided by o.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-3962)\/(-560) + -7)*(3 + (-531)\/162).\nAnswer: -1\/48","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 2\/3?  (a) 0.07  (b) 144  (c) 0.5  (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 957 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 39 + -16. Is 3 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 0.35169 + 0.04783. Let o = 0.03 - 0.43. Let p = o + q. Round p to four decimal places.\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-230)\/(-23368))\/(504\/480 + 1\/5).\nAnswer: 1\/127","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3533?\nAnswer: 3533","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {b: 7, n: 3, o: 5, u: 1}. Give prob of picking 1 u and 3 b.\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*o = -g - 7, -70*g - 12 = -69*g - 3*o for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 z and 1 x when two letters picked without replacement from kkzkdkyxvkkzkykkkxkk?\nAnswer: 2\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -187390 or -187391?\nAnswer: -187390","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 257b994 - 1?\nAnswer: 257b993","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let p(v) = 2 + 14*v - 17*v + 5*v - 2*v**2. What is p(3)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -21 - -31. Let u be 4\/(-10) + (-6)\/y. What is the least common multiple of 22*(0 + 2 + u) and 14?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2, -0.2, -71.1, -14.\nAnswer: -71.1, -14, -2, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -792644261\/6364 + 498205\/4. Calculate the common denominator of -23\/860 and u.\nAnswer: 31820","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 136040 a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Does 132 divide 3300?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve -77*t + 0*t = -622*t + 28340 for t.\nAnswer: 52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*j = -0*j + 5*g - 4, -2*j + 5*g = -44. Is (-2 + j)*58\/4 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(p) = -214*p + 2338. What is q(11)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: -6218 (base 11) to base 7\nAnswer: -33021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (2*2\/(-372))\/(33\/(-3)*38\/(-418))?\nAnswer: -1\/93","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((x**18\/((x**(3\/7)\/x)\/x*x))**10)**42 assuming x is positive.\nAnswer: x**7800","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 468 minutes after 2:10 AM?\nAnswer: 9:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((f**1)**(4\/9)*(((f\/(f\/(f**(-1\/4)\/f)))\/f)\/f)\/f*f*f*f*f*f**7\/f*f)\/(f**9*(f\/(f\/f**(-4\/3)))\/f*f)**(6\/17) assuming f is positive.\nAnswer: f**(2747\/612)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve 6824*s - 6954*s + 16510 = 0 for s.\nAnswer: 127","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 298605639*g**3 - 3*g**2 - 330568060.\nAnswer: 895816917*g**2 - 6*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 108451 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 45 = 3*s + 2*q, -5*q = -47*s + 45*s + 11. Solve 5*r + 24 = s*r for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 2*v**2*y**2 - 239407*v**2*y + 305*v**2 - 5826*v*y**2 - 15870*y**2 wrt v?\nAnswer: 4*y**2 - 478814*y + 610","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 15*f**5*l + 774610*f**4*l + 3*f**2*l - 3294*f**2 + 2*f*l - 27*l wrt f.\nAnswer: 900*f**2*l + 18590640*f*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let z(h) = h**2 + 5*h - 13. Suppose -11*g = 116 - 39. Let k be z(g). Suppose -q + 107 = -k. What are the prime factors of q?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(y) = 0*y + 0*y - 7*y + 18*y - 9*y. Let d(l) = 754*l. Give d(m(s)).\nAnswer: 1508*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1933?  (a) -4\/7  (b) -0.3  (c) 4\/9  (d) -4  (e) -0.01\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 311 a factor of 70242187?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of -6502825, -6502826, -6502827, -6502828, -6502829?\n\"Answer: -u - 6502824","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from llllolllllllllllol. Give prob of sequence oll.\nAnswer: 5\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*c - 78 = -63. Suppose -1508 = -3*x + x - c*r, 0 = 2*x - r - 1508. What is the units digit of x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose b - 5 + 3 = 0. Suppose b*q + 397 - 1035 = 0. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add together 32 and -20.15.\nAnswer: 11.85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*n - s = 19, -6*n - 5 = -4*n + 5*s. Let w = n + 31. What is the remainder when 77 is divided by w?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 1246 divide 9149010?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 10 and 6486565?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -522 - -529. What is the lowest common multiple of r and 221?\nAnswer: 1547","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*r - 241 = 164. What is the greatest common factor of 54 and r?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 814279?\nAnswer: 814279","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -143 + 135. Let b(a) = -a**2 - a + 55. Let p be b(i). Let g(l) = -10*l**3 - l - 1. Determine g(p).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {x: 1, b: 1, j: 1, y: 1, q: 2, w: 1}. Give prob of picking 1 x, 1 y, and 2 q.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 1693080 equal to 1693159?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 25064724?\nAnswer: 2, 3, 19, 47, 2339","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"}
{"text":"Question: Find v such that 0 + 1\/5*v**3 + 2\/5*v**2 + 0*v = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(k) = -20800*k**2 + 1 + 6*k + 4 + 20801*k**2. Let b(w) = -w - 1. Determine -5*b(a) - s(a).\nAnswer: -a**2 - a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 49556.\nAnswer: 2, 13, 953","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let r(y) = 14*y - 1. Let x be r(3). Let g = -19 + x. Calculate the lowest common multiple of -4 + (-152)\/(-6) - 6\/(-9) and g.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.59035722 less than 28?\nAnswer: 27.40964278","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let j(s) = s**2 - s + 1. Let t be j(-3). Is 13 equal to t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from rrraiaiii. What is prob of sequence aa?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 283556 and 245700.\nAnswer: 364","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6 = -u + 13. Calculate the remainder when (-13 - -15)\/((-2)\/(-56)) is divided by u.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*b = -4*a + 4, -2*a - 3*b + 168 = 150 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let f(r) = 266*r**3 + 2*r**2 - 2*r. What is f(1)?\nAnswer: 266","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 2755187616 to the power of 1\/2, to the nearest integer?\nAnswer: 52490","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 6*(1 + 3*5*(sqrt(2057) + -3))**2.\nAnswer: -87120*sqrt(17) + 2788566","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -7 + 1. Let i = g - -6.1. Let t = 3 + -6. Which is the closest to i?  (a) 0.3  (b) t  (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 13166 minus -15?\nAnswer: 13181","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let g**3 + 28495093*g**2 + 202992595517208*g + 202992567022116 = 0. What is g?\nAnswer: -14247546, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4 = -s - 4*a, -4*s + 0*s - 2*a = -12. Suppose -s*o + 30 = o. Solve -o*u + 5*d = -2*u + 6, -2 = -d for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 16\/5355 and 117\/5950.\nAnswer: 53550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 56 + -62. Let j = -0.1 + 37.1. Let d = k - j. Which is greater: -1 or d?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(k) be the second derivative of -33\/4*k**4 - 13\/10*k**5 - 1\/10*k**6 + 2 + 0*k**2 + 8*k + 0*k**3. What is the third derivative of s(v) wrt v?\nAnswer: -72*v - 156","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 670 divided by -10?\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let v(j) = -14*j - 7. Determine v(-3).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 9163?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 3365 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 52 a factor of 7582?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {t: 13, m: 5}. What is prob of picking 2 m and 2 t?\nAnswer: 13\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ooyfoxyvonnon. Give prob of sequence fn.\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 389789 - 389757. Factor 8*q**2 - u*q + 1\/4*q**4 + 7\/2*q**3 + 0.\nAnswer: q*(q - 2)*(q + 8)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) 7  (b) -3\/2  (c) 1  (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 13025*r**2 + 2789*r - 5 wrt r?\nAnswer: 26050","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -2, 0.06, 3\/2, -3\/7?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -27.1 in -1, -2\/11, 2\/17, 0.2, 17?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let s be -1*2\/4 + (-1020)\/(-24). Let d be ((-4)\/(-5))\/((-12)\/30). Let p be (-3 - -1) + d + 109. Calculate the greatest common factor of s and p.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 52\/5 of a minute in seconds?\nAnswer: 624","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -6265005 divided by -167.\nAnswer: 37515","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let q(u) = -132*u - 1593. Determine q(-12).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Expand -2*p**3 - p**3 + p**3 + (5 - 5 - p)*(-2*p + p**2 + 2*p) - 2*p**2 + 2*p**2 + p**3 + (-1 - 8*p + 16*p + 0)*(-3*p + 3*p + 3*p**2).\nAnswer: 22*p**3 - 3*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 54 + (22 - 64) - 3.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-329*s**3 + 359*s**3 - 3355*s**3 - 6549*s**3)*(4*s + 2 - 2).\nAnswer: -39496*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 87\/28804 and -105\/2698.\nAnswer: 2045084","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -3, 18\/11, -0.1?\nAnswer: 18\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 23 + -13. Let t be (2 + -64)\/(w\/(-25)). Let m = t - 42. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (6\/(-44))\/((-69)\/276).\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*n = 2*n + 5*i + 10, 4*n + 4*i = 4. Suppose 0 = -4*p + 3*z + 94, 2*z + 92 = -p + n*p. Let t = 25 - p. Solve 0 = -t*k + 4*k + 5, 0 = 5*r - 3*k for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(r) = 3*r**2 + 4 - 3*r**3 + 2*r**3 + 3*r**2 - 5*r. Let c be q(5). Suppose -c*i = -2*i - 12. What are the prime factors of i?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3250720 - 3250516 = -17*o for o.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 4180078849 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*b + 9*c = 4*c + 1584, 3*b - c = 1188. Is 9 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -54 = -4*w - 3*j, 5*w = 3*j - 0*j + 54. Solve 4*z - w = 3*u - u, 6 = -3*u + 3*z for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -44\/3*n**3 - 8\/3*n**2 - 14\/3*n**4 + 0*n + 0 + 49*n**5.\nAnswer: n**2*(3*n - 2)*(7*n + 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*v - 13 - 2 = 0. Solve p - v + 1 = 0 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -27 + 41. Suppose -9*h - 420 = -q*h. What is the units digit of h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*d + 8 = -4*o, 4*d + 3 = -4*o - 1. Suppose 482 = 2*x - 4*q, 0 = -5*x + d*q + 1505 - 276. List the prime factors of x.\nAnswer: 13, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -505, 0.4, -6, 2\/19, 0.5, 0.3?\nAnswer: -505","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 941278877 to the power of 1\/6, to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let a(x) = -2*x**2 + 13*x + 40. Let l(z) = z**2 - 6*z - 19. Determine -3*a(o) - 7*l(o).\nAnswer: -o**2 + 3*o + 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let s(n) = -7*n + 152. Let z be s(-25). Suppose -z = -5*g + 753. What are the prime factors of g?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 27 to the power of 1\/3, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0817925 to 3 dps.\nAnswer: -0.082","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 2460 and 420.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let z(c) be the first derivative of -3*c**3 - 15*c**2 + 122*c - 105. Let s(b) = -2*b**2 - 3*b - 1. Let x(d) = -6*s(d) + z(d). Differentiate x(l) wrt l.\nAnswer: 6*l - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1802960 divided by -225370?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve -d + 22 = 21, 5 = -2*u - 5*d for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose r = 22 + 13. Let h = r - 20. Calculate the remainder when 28 is divided by h.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 6, -1, 2 in descending order.\nAnswer: 6, 2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -0.2 - 0.8. Let j = 225.5 - 225. Which is the closest to -1?  (a) 2\/9  (b) j  (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 2 + -4753488?\nAnswer: -4753486","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Expand (k**4 + 0*k + 0*k)*(-k + 4*k - 2*k)*(2 - 1 - 3).\nAnswer: -2*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of -91074, -91072, -91070, -91068, -91066?\n\"Answer: 2*w - 91076","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*p + o + 124 = 0, -2*p - 5*o - 132 = -52. Let h be p\/(-80)*4\/6. Let r be 0\/(-2) + 1 + 2. Sort 2, r, h in increasing order.\nAnswer: h, 2, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(j) = j**3 + 23*j**2 - 175*j - 2295. Determine y(-26).\nAnswer: 227","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let o(t) = -t**3 - t**2 - 11*t - 13. Let m be o(-5). Suppose -m + 42 = -5*n. Solve -13*p + 18*p + n = 0 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 1102 - -120201?\nAnswer: 122010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 22147924?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*d - 7 = -1. Let i be (210\/(-40))\/(d\/(-8)). Let w(s) = 2*s**3 + 6*s - 3*s**3 - i*s + 8*s**2. Give w(7).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 0.4355 - -0.0645. Let m = 31 + -34. Suppose -9*l = -12*l - 18. What is the closest to 1 in m, l, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -9531 + 13840. What are the prime factors of l?\nAnswer: 31, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many weeks are there in 1397443.74 hours?\nAnswer: 8318.1175","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let r(d) = d - 1. Let a be r(15). Calculate the greatest common factor of a and 21.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of 213593, 427189, 640785, 854381, 1067977?\n\"Answer: 213596*a - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let j(r) = -2*r**2 - 2*r + 4. Let y be j(0). Suppose 0 = 5*d - y*h - 255 - 185, h = -5. What is the highest common factor of 21 and d?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-846)\/(-21) - (-2)\/(-7). Let f be 49\/(-7)*(-40)\/7. Is f > i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.201 rounded to two decimal places?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Put 3, 1800102, -3 in increasing order.\nAnswer: -3, 3, 1800102","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is -1000 (base 5) in base 6?\nAnswer: -325","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -0.2 and -2953?\nAnswer: 590.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let k(y) = -y**3 - 4*y**2 + 3*y - 106. Let n be k(0). What is the remainder when 194 is divided by -2*(n\/4 + -7)?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(j) = j**3 - 8*j - 3. Let b be x(3). Let n(c) be the third derivative of b + 1\/15*c**4 + 0*c + 1\/60*c**5 - 9*c**2 - 2\/15*c**3. Factor n(h).\nAnswer: (h + 2)*(5*h - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence qvqr when four letters picked without replacement from yvyyyvryqrryyryyqqy.\nAnswer: 1\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let k(m) = -10*m**2. Let o = 107 - 124. Let c(y) = 9*y**2 + 17. Let n(j) = 3*j**2 + 6. Let i(u) = o*n(u) + 6*c(u). Determine k(i(z)).\nAnswer: -90*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4 - 4 - w + 2*w**2)*(-16911*w - 90542*w + 1 - 1492*w - 1).\nAnswer: -217890*w**3 + 108945*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 3126 a factor of 28162134?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (b**(-2\/9))**(-3\/7)\/(b**1)**(3\/22)*(b*b\/(b**(-2)*b))**(-2\/13)\/(b*(b\/b**(2\/19))\/b*(b\/(b**(-1\/7)*b))\/b) assuming b is positive.\nAnswer: b**(-61651\/114114)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-209)\/3 + -3 + 2\/(-6). Let v = t + 102. List the prime factors of v.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*c = -2*h + h + 23, 4*h = 2*c + 2. Suppose 2*a = -a - h. Let z be (-105)\/245 + ((-3)\/7)\/(-1). Sort a, 6, z in descending order.\nAnswer: 6, z, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -269 + 2966\/11. Let q(v) = -1385*v - 72020. Let x be q(-52). Is d smaller than x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(g) = -12*g + 164. Let f be k(-11). Calculate the greatest common factor of 24 and f.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -b = 4*b - 15. Solve -b = d + 1 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 51 and 5569047.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 51 = -2*t - 3*f, -180 = 3*t + 2*t - 3*f. Let k be (11\/t - (-10)\/3) + 1. Solve -4*m = -3*o - 19, 3 = -3*m - k*o - 14 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -0.3, 26\/15, -1\/274, 4?\nAnswer: -1\/274","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is -47.5 plus -0.0082?\nAnswer: -47.5082","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is -26.1276 rounded to the nearest ten?\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let y(u) be the third derivative of 0*u**6 + 1\/504*u**8 - 1\/45*u**5 - 7*u**2 + 0 - 1\/36*u**4 + 2\/315*u**7 + 0*u**3 + 0*u. Factor y(a).\nAnswer: 2*a*(a - 1)*(a + 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -922*a**3 - 81756066 + 81756066.\nAnswer: -922*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*x + a = -17, 3*a = 5*a - 6 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let b(g) = g + 5. Let a be b(-5). Let q(f) = 26*f**3 + a + 2*f - 1 - 3*f + 2*f. Is q(1) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 34344 - 73644. What is g rounded to the nearest one thousand?\nAnswer: -39000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((x**4\/x)\/(x**(4\/5)\/x*x))**6 assuming x is positive.\nAnswer: x**(66\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*y**3 + 15976*y**2 - 128296*y - 2878560.\nAnswer: 2*(y - 18)*(y + 10)*(y + 7996)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Divide 3585667 by 10.\nAnswer: 3585667\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Express -1 + 4*k**3 + 1 + k**3 - 3*k**3 + 5*k**3 + (-3 - 2 + 4)*(2*k**3 + 0*k**3 - 5*k**3) - 16*k**3 + 57*k - 57*k as w*k**3 + t*k + l*k**2 + v and give w.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Express (1 - 4 + 1)*(4*c + 4*c - 4*c) - c + c - 2*c in the form y*c + x and give y.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 557 + -558. Sort -2, 0.1, -1\/47, g in decreasing order.\nAnswer: 0.1, -1\/47, g, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*a = 2*m + 434 + 1054, -4*m - 16 = 0. Suppose -z = 5*x - a, z + 320 = 5*x - 4*z. Is 10 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(q) = -43*q**3 - 2*q**2 + 1. Is d(-2) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 129 - 2*l**2 + 5*l**4 - 129 wrt l.\nAnswer: 120*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 971?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let y(j) = 59*j**2 - 11*j - 14. Let w(h) = -31*h**2 + 6*h + 7. Let k(m) = 11*w(m) + 6*y(m). Let v(z) = -z**2. Determine k(v(d)).\nAnswer: 13*d**4 - 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1192.\nAnswer: 2, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let a(l) = -2*l**3 + 65*l**2 + 34*l - 30. Let o be a(33). Let i(n) = -n**2 - 46*n + 149. Let k be i(o). Solve -4*g = 4*h - 16, -h + k = 1 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*t - 4*a - 22 = t, -4 = -3*t + 2*a. Let q be (t\/(-6))\/((-2)\/6). What is the common denominator of 135\/14*q\/(-3) and 9\/14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -916, -2483, -4052, -5623?\nAnswer: -7196","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 56975 is divided by 110.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let q(c) be the third derivative of -c**4\/24 - c**3\/3 + c**2. Suppose 3*b + 7 + 5 = 0. Is q(b) even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (n**(1\/12)\/n**(-4\/7))**(-13\/5)\/(((n\/(n*(n*n**(2\/5)\/n*n)\/n*n))\/n)**(6\/17)*(n*n\/(n*n*n**0))\/(((n**(1\/12)*n)\/n)\/n*n)) assuming n is positive.\nAnswer: n**(-1378\/1785)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 4*l**3 - 4*l**3 - 11*l + 4*l**3 + 11*l.\nAnswer: 4*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let d(c) = c + 1. Let h be d(2). Let g be ((-20)\/6)\/(-5)*6. Solve -3*z + h*m = z, m = g*z + 8 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 169534 to the power of 1\/2, to the nearest integer?\nAnswer: 412","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let h(x) = -77*x + 158. Let b be h(2). Solve g + 5 = -b*g - 5*c, -3*g = -4*c - 4 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -16 + 14. Let f(l) = 3*l**2 + l**2 + l**3 + 3*l + 1 + 0*l**3. What is the units digit of f(y)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 95 + 0*n + 2*n + 7*n**3 - n**2 - 3*n**4 + n**4 - 95 in the form m*n**4 + q*n**3 + v + a*n + t*n**2 and give q.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: -21780 divided by 660\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 3004762 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -119\/40 and 9\/116128.\nAnswer: 580640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -16*s + 23*s - 112 = 0. Solve 0 = 4*r + 16, -3*r + 7*r + s = -4*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 180241*b**2*h**2 + 218*b**2*h + 2*b**2 - 8*b*h**2 + 30*b*h + 381*b - 29*h**2 wrt h?\nAnswer: 360482*b**2 - 16*b - 58","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -s**2 - 266*s**3 + 742*s**3 - s**4 - 269*s**3 - 191*s**3 - 3 to the form a*s**4 + f*s**2 + p*s + x + o*s**3 and give x.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 331514.9 years in decades?\nAnswer: 33151.49","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let k be -4 - ((-3)\/2 + 2\/4). Suppose -2*a - 3 = -f - 4*a, f = 5*a + 3. Suppose 3 = -f*h + 3*j, 5*h + 3*j + 12 = -1. Which is greater: k or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 149381 - 99370. What is the hundreds digit of n?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 401033021 (base 6) to base 11.\nAnswer: 3904175","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*n**2 + n**2 + 4*n**2)*(4 - 2 + 0) + 14*n**2 + 7*n**2 - 39*n**2 + 5*n**2 + 5*n - 5*n - n**2 - 3*n**2 + 0*n**2.\nAnswer: -13*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -101.1 - -101.5. Which is the closest to -0.1?  (a) -1\/10  (b) 0.1  (c) 3  (d) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*o + 3*o - 4 + 6 + (-1 + 4 - 2)*(2*o + 0*o + 10*o))*(-2*o**2 - o + o).\nAnswer: -36*o**3 - 4*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 225 = h - 4*h + p, 0 = 3*h + 2*p + 234. Suppose -13*m - 1253 = -265. Is m >= h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(d) = 9*d**2 + 3*d + 11. Let c(v) be the first derivative of 5*v**3\/3 + v**2 + 6*v - 389. What is 5*c(t) - 3*y(t)?\nAnswer: -2*t**2 + t - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: (-48)\/40*-3*(-12)\/(-27)*10\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 4169 divided by 4.\nAnswer: 4169\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -11 + 36 + -18 - (30 - 7 - -43).\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-59 - 11 - 218)*(-2 + 5*z + 1 - 4*z).\nAnswer: -288*z + 288","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 0.1  (b) -1\/11  (c) 3  (d) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3111?\nAnswer: 3, 17, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Does 13 divide 12433447?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (-8)\/10*30\/(-4). Suppose 1 = -b*v + 31. Factor 0*d - 4\/7*d**2 - 10\/7*d**3 + 0 - 2\/7*d**v - 8\/7*d**4.\nAnswer: -2*d**2*(d + 1)**2*(d + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(i) = 27*i + 34*i + 58*i - 118*i. Let w(f) = -f. Suppose 0*l - 4*l - 20 = 0. Calculate l*r(s) - 2*w(s).\nAnswer: -3*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence zf when two letters picked without replacement from {x: 2, i: 2, f: 1, n: 4, z: 2, j: 6}.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(15)\/sqrt(5) - sqrt(3))**2 + 2 + (-4 + 2 + sqrt(3))**2.\nAnswer: -4*sqrt(3) + 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1\/11, 74, 2\/433 in descending order.\nAnswer: 74, 1\/11, 2\/433","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 2794, -8620, -20034, -31448?\nAnswer: -42862","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 122025451 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 149754045.\nAnswer: 3, 5, 7, 67, 3041","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((t\/(((t\/((t\/(t\/(t*t**(7\/2))))\/t))\/t)\/t))\/(t\/(t\/((t\/t**(-5))\/t))))\/(t**(-6\/13)*(t*(((t**(3\/8)*t*t)\/t)\/t)\/t)\/t))**23 assuming t is positive.\nAnswer: t**(3795\/104)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*l + 539 - 194 = 0. Let c = l + 72. Solve a = -c + 8 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 140, -4, -1, -2, 3.\nAnswer: -4, -2, -1, 3, 140","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 714 is divided by 103.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1375055958.\nAnswer: 2, 3, 1879, 121967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1?  (a) -28  (b) 0.08  (c) -30\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let o(c) = 3*c**2 - 14*c - 5. Let h(n) = -15*n**2 + 69*n + 24. Let w(t) = 5*h(t) + 24*o(t). Factor w(g).\nAnswer: -3*g*(g - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -2\/5?  (a) 55  (b) 0.4  (c) 3\/8  (d) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 4162, 4165, 4168, 4171, 4174, 4177?\nAnswer: 4180","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 117 = 4*i - 5*s + 6*s, -s = 5*i - 147. Let a be ((-6)\/15)\/((-6)\/i). Solve a*f - 4*f - 6 = 0 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(u) = -u - 4. Suppose 5*i + 63 = -2*i. Give j(i).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence jl when two letters picked without replacement from {l: 3, j: 2, r: 7}?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 4700077489 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 2.7 - 0.7. Let o = -9282 - -9232.07. Let q = o + 50. Sort 0, c, q in decreasing order.\nAnswer: c, q, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 v when three letters picked without replacement from {u: 3, v: 7, w: 5, s: 1}?\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Put 0, 80, 1\/1077, 0.2 in descending order.\nAnswer: 80, 0.2, 1\/1077, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 459.\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let d be ((-5)\/(-15)*-3)\/(1\/(-11)). Let r = d - -1. List the prime factors of r.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 95924?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Factor f**2 - 17*f.\nAnswer: f*(f - 17)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 g and 1 h when two letters picked without replacement from {g: 1, h: 2, f: 4}?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 564849975 to the nearest integer?\nAnswer: 827","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let t(l) be the third derivative of l**5\/2 + l**4\/8 + 7*l**3\/6 + 30*l**2. Is t(-8) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(j) = -j**3 - 20*j**2 + 4. Let c be q(-20). Suppose 3*s + 16 = 100. Calculate the highest common factor of s and c.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 25*f**4 + 192570*f**3 + 1500885*f**2 + 2770120*f - 615600 = 0 for f.\nAnswer: -7695, -4, 1\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -52*f**2*l - 310*f**2 - 2*l**2 with respect to l.\nAnswer: -52*f**2 - 4*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Does 3 divide 357493?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:37 PM and 8:37 PM?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -0.3 + 0.2. Let x = 1484 + -1474. Which is the closest to k?  (a) x  (b) 5  (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1713*w**3 + 2*w**2 + 5*w**2 - 19*w**2 + 12*w**2 + 850*w**3 + 850*w**3.\nAnswer: -13*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 57 a factor of 98496?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*k + 4*d - 5*d + 5, -15 = 2*k - 3*d. Let y be 20\/5 - (k + 0). Suppose 5*b - 1 = 9. Solve -22 + b = y*l for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-4 - (-2 - -6)) + 6.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 452?\nAnswer: 2, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 35148247 divided by -7?\nAnswer: -35148247\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3 - 1 + 0*l - l)*(-9*l**3 - 9213 + 9213).\nAnswer: 9*l**4 - 18*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 30 and 14010?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 297, 1181, 2637, 4659, 7241, 10377?\nAnswer: 14061","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 419\/4 + -104. Let 5\/4*w**4 - 7\/4*w**2 + 1\/2 - u*w**3 + 3\/4*w = 0. What is w?\nAnswer: -1, -2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 2515, 3, -2, -1\/2?\nAnswer: 2515","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(6)\/(sqrt(18)\/sqrt(6)*2) + 6*sqrt(288) + 3 + 3)**2 + 3.\nAnswer: 870*sqrt(2) + 21103\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let w(m) = 23*m**2 + 136*m - 138. Let i be w(1). Solve -41*p + 46*p - d - 24 = 0, -d = 4*p - i for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-4)\/(8\/(-10))*1. Suppose 2*m + d*a - 149 = 188, 2*m + 3*a - 335 = 0. Is 10 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 39 - 21 - 18 + 5*u**2.\nAnswer: 5*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh smallest value in 2\/7, 2\/9, -42\/11, -2\/5, -9, 5, 33\/10?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let a(b) = b**3 - 2*b - 752. Let c be a(0). Let x = c - -104530\/139. Let k = x - -264\/973. Is 1 less than or equal to k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(z) = z**3 - 16*z**2 + 44*z - 60. Let s be a(13). Suppose 0 = v + 3*v. Solve -s*c = -v*c - 15 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 969376?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Sum 0.05 and -7467.\nAnswer: -7466.95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*i = 2*i. Let g(k) be the second derivative of 1\/90*k**6 - 1\/6*k**2 + k + 0*k**4 + 1\/9*k**3 + i - 1\/30*k**5. Let g(b) = 0. What is b?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(t) be the first derivative of -t**2\/2 + t + 2. Let u(h) = h**3 + 9*h**2 - 116*h - 68. Let f be u(-16). What is r(f)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 60 and 1780.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (8 - -2)\/(3 + -1). Let j = 6 - o. Let u(q) = -3*q + 0 + 1 + q. Let f(r) = -r - 1. Determine j*u(w) - f(w).\nAnswer: -w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 13853359 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*c = 3*k - 1 - 0, -19 = -5*k + 2*c for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -0.023 + 0.02300028. What is q rounded to 7 decimal places?\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 333 - 232. Is 56 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -354, -2426, -5890, -10746?\nAnswer: -16994","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 222909576 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 29542693 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*d - 4*r - 81 = 0, -4*d - d = -3*r - 82. Suppose -3*i - d = -50. Suppose i*m = 5*m - 243600000. What is m rounded to the nearest 1000000?\nAnswer: -41000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -52 = -8*a - 5*y, 3*a + 2*y - 29 + 9 = 0 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -0.11 or -184019?\nAnswer: -0.11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Work out 1.5 * 29444.\nAnswer: 44166","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is (408\/(-340))\/(((-2)\/(-5))\/(-1))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Product of 0.03 and 0.008.\nAnswer: 0.00024","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*k + 40 - 12. Let g be (27\/(-2))\/(k\/(-14)). Let x = 64 + g. Is x a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -13*b - 40 + 42*b - 37 + 15.\nAnswer: 29*b - 62","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*r + 47*k - 45*k = 56, -4*r - 5*k = -44 for r.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0*r + 4*u = -4*r - 20, 0 = u + 4 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Put -2091, 142, 4, 2, -3 in decreasing order.\nAnswer: 142, 4, 2, -3, -2091","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let f(v) = -24*v - 18. Let o be f(-1). Suppose -2*u - o + 10 = 0. Which is the biggest value?  (a) u  (b) 0.15  (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -k + 4*r = 2*k + 25, 2*k - 14 = -5*r for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*b**3 - 108*b**2 - 16*b + 432 = 0. Calculate b.\nAnswer: -2, 2, 27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_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: Suppose -2*r = -7 - 3, -3*r + 10 = 5*v. Let h = -2788\/39 - -214\/3. Which is the biggest value?  (a) h  (b) v  (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (42 - 57) + -5 + 2 + 7.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*x + 3060 = 3*x. Let l = x - -915. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -96 + 98. Suppose b*x - 6*x = -420. Let a = x + -95. What are the prime factors of a?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 549 and 218070.\nAnswer: 13302270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:44 PM and 5:01 AM?\nAnswer: 617","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*k - 3*j - 0 + 37, -k = -j - 11. What is the highest common factor of 1420 and k?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(2299) - (3 + sqrt(2299)*-2))**2 - 3*(2*sqrt(2299) + sqrt(2299))) + (2*sqrt(912))\/(sqrt(3) - (sqrt(432)*2 + sqrt(432) - sqrt(432))).\nAnswer: -6839*sqrt(19)\/23 + 20700","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let v(c) = -c**3 - 9*c**2 + c - 7. What is v(-9)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 189060 and 3033240?\nAnswer: 1380","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 8\/3*-4*45\/(-40). Suppose 0 = -2*l - w + 135, m*l - w = 11*l + 75. Is 14 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(x) be the first derivative of -x**6\/60 + x**4\/24 + 4*x - 2. Let f(l) be the first derivative of n(l). Factor f(d).\nAnswer: -d**2*(d - 1)*(d + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -160, -419, -856, -1477, -2288, -3295, -4504?\nAnswer: -5921","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence unnz when four letters picked without replacement from {u: 5, c: 1, n: 3, z: 7, b: 2}?\nAnswer: 7\/2448","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Convert 12 (base 11) to base 8.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let -3*k**5 + 81*k**4 - 618*k**3 - 60*k**2 + 12600*k - 12000 = 0. What is k?\nAnswer: -4, 1, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Convert 55768.29ug to grams.\nAnswer: 0.05576829","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 7877177?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let w be -6*-2*(-1)\/(-3). Suppose 0*m - 12 = -w*m. Let y be ((-15)\/2)\/((-4)\/8). Solve 0 = -0*k - m*k - y for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -81 + 86. Suppose -70 = -x*h - 10. What are the prime factors of h?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 5.177 - 5.577. Which is the closest to -2?  (a) -0.167  (b) u  (c) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(z) = 15*z + 11. Let o(j) = -37*j + 0 + 2 + 40*j. Determine 2*i(n) - 11*o(n).\nAnswer: -3*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence xxr when three letters picked without replacement from xrxxxxr.\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of -3865, -3885, -3881, -3841, -3753, -3605, -3385?\n\"Answer: 2*q**3 - 34*q - 3833","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let t(o) = -6*o - 2. Let r be t(-8). Suppose -q + r = 12. What is the tens digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(q) = -q + 5. Let p be f(6). What is the remainder when 13 is divided by p\/(-1)*(5 + -1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 96 - 85. Let c(v) = -5*v. Let b(g) = g. What is n*b(l) + 2*c(l)?\nAnswer: l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let c be -2 - (-9 + (-8)\/(-4)). Solve 10 + 0 = -c*p for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(b) = 2*b**2 + 14*b + 23. Let n be t(-5). Calculate the remainder when (-11 + (3 - -4))\/(2 - n) is divided by (-2)\/(-4) - (-10)\/4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1050?\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 2491 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -83 - -212836?\nAnswer: 212743","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -167.79 - -166. Let d = s - 1.21. Let h be -6*(-5)\/(3 + -8). What is the second biggest value in h, 3, d, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in x - 1471 + 5875 - 1461 - 1453 - 1471.\nAnswer: x + 19","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.1 in 0.09, 8\/33, 2\/11, 0.1?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((i*i*i*(i\/(i**(-6)\/i))\/i)\/(i*i*i*i**(-1)*i))**(-1\/3)\/((i\/(i*i**(-1\/5))*i)\/(i**3*i))**(-23\/4) assuming i is positive.\nAnswer: i**(-553\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: -481.066 times -1\nAnswer: 481.066","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:16 AM and 7:59 AM?\nAnswer: 283","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*j + 0*i = i - 3, -2*j + 3*i = 1. Let c be j*(-1 + 9\/(-6)). Suppose 95 = 3*y - 5*t + 3*t, c*y = -3*t + 133. What is the tens digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of -113120, -113133, -113146, -113159?\n\"Answer: -13*v - 113107","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 1905311?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: 1201427 (base 9) to base 7\nAnswer: 5346562","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 19*i**2 - 14*i**2 + 2*i**2.\nAnswer: 7*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Expand (a**2 - a**2 + 2*a**2)*((-4 + 2*a**2 + 4)*(a - 3*a + 3*a) - 4*a**3 + 11*a**2 - 11*a**2 + 2*a**3 - a**3 + 0*a**3 - 4*a**3 + 5*a**3 + a**3).\nAnswer: 2*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let l(d) = -2*d**2 + 55*d - 225. Let o be l(5). Which is the third biggest value?  (a) 64  (b) o  (c) 0.6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(j) = 2*j**3 + j**2 - 2*j + 1. Suppose -28*s + 23*s + 20 = 0. Suppose 8*h - 4*h = -s, -2*n - 1 = 3*h. Give p(n).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 29954 a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*a + 2*a = 600. Suppose 18 = -2*k - 2*q + a, q - 75 = -4*k. Calculate the greatest common factor of k and 24.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 37 is divided by 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((i\/(i*i*i**(2\/7)*i))\/i*i*i)**(-4\/17)\/((i*i**(10\/7))\/(i*i\/(i\/(i*i**(-7))*i))))**(13\/4))**(46\/5) assuming i is positive.\nAnswer: i**(-289133\/1190)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -13742 + 14995.7. Is 0 equal to f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 3915 is divided by 171?\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify y**14*y**(-20)\/y assuming y is positive.\nAnswer: y**(-7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let o(a) = -704 + 690 + 29 + 20*a**2. Let u(f) be the first derivative of f**3 + 2*f - 1. What is 2*o(m) - 15*u(m)?\nAnswer: -5*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let a(l) = -l**3 + 15*l**2 + 56*l + 215. Calculate a(18).\nAnswer: 251","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-5*4*(sqrt(1210) + sqrt(1210) + (((sqrt(1210) - sqrt(1210)*1) + sqrt(1210))*-3 - sqrt(1210))))\/(-2*(sqrt(180) + -3*1*sqrt(180))*3).\nAnswer: 55*sqrt(2)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -1  (b) 0.2  (c) -0.06  (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 13995 <= 55985\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 0 - 2. Let p = -167 - -164.58. Let k = p - -2.82. Sort 1, 4\/3, k, y.\nAnswer: y, k, 1, 4\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 17*p + 192 = 41*p for p.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is -30103303132 (base 4) in base 16?\nAnswer: -313cde","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 6\/5 of a litre in millilitres?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-t + 2 - 2)*(-150 + 681*t - 430 - 680*t) to the form v*t**2 + l*t + s and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3 - 3 - 129*n + 19*n + 102*n.\nAnswer: -8*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -387, -356, -501, -984, -1967, -3612, -6081, -9536?\nAnswer: -14139","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 1252203 to the nearest integer?\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:52 AM and 8:25 AM?\nAnswer: 33","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 24389*s**3\/4 + 17661*s**2\/2 + 4263*s + 686 = 0. What is s?\nAnswer: -14\/29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 21 = -14*a + 21*a. Let q(k) = -2*k - 4. Suppose s + 3 = -0*s. Let j be q(s). Solve 6*f - 2*o - a = f, j*f - 6 = 2*o for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -24*w + 58*w - 15*w.\nAnswer: 19*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let d(k) = k**3 - 4*k**2 + k + 3. Let w be d(4). Let n(m) = 4*m + w*m - m - 16. Let v(c) = 2*c - 3. Give -3*n(y) + 16*v(y).\nAnswer: 2*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve 116*t + 894 = -33*t for t.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 23947724 is divided by 269.\nAnswer: 268","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 l when three letters picked without replacement from {l: 3, a: 2, w: 4}?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -55 + 22 + -33 + 109?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let x be ((-1)\/1)\/((-7)\/35). Let w = -9 + x. Sort 1, w, 3 in descending order.\nAnswer: 3, 1, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*o**3 + 2*o**3 + 0*o**3)*(3*o - 2*o + 0*o - 2*o - 4 + 4 + (-6*o + 4*o + 0*o)*(-2 + 0 + 4) - o - 2*o + 5*o - 5*o + 5*o - o).\nAnswer: -8*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9*s = 4*s + 15. Suppose 4 + 26 = s*m - 4*b, -2*m + 20 = 5*b. Solve 3*k - m = k for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*n + 0 = -30. What is the tens digit of 9\/45 - 128\/n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 1 + 7. Suppose -h + 2*h - 3 = 0. What is the remainder when q is divided by h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 36828530.\nAnswer: 2, 5, 3682853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 0  (b) 0.08  (c) 2\/5  (d) -6967\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is -8908638.7 rounded to the nearest 1000000?\nAnswer: -9000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 z and 1 h when three letters picked without replacement from {h: 2, z: 6, r: 5}.\nAnswer: 15\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 998 a factor of 1066790144?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of 954, 1907, 2858, 3807, 4754, 5699, 6642?\n\"Answer: -o**2 + 956*o - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ul when two letters picked without replacement from lluhupx.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 194 or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*f + 14 = -26. Let x(w) = -w**2 + 11*w - 10. Let h be x(f). List the prime factors of (-410)\/(-35) - (-4)\/h.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 16 is divided by (3 - 4)\/((-1)\/12)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1*(2 + sqrt(300) + 1).\nAnswer: -10*sqrt(3) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let t(f) = -410*f - 5648. Let p be t(-22). Are 3370 and p nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -405*t + 14320 + 7259 = 191*t + 5487 for t.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 2406?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (r\/(r\/(r\/r**4))*r**(5\/7)\/r)**(-43)*((r\/r**(-3\/13)*r*r)\/(r\/r**(-1\/16)*r))**(-12) assuming r is positive.\nAnswer: r**(46325\/364)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 13005 and 450?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 291448395 to the nearest integer?\nAnswer: 17072","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let y(h) = 5 - 2 + 6*h - h**2 + 0. Let z(p) = 2*p - 4. Let j be z(5). List the prime factors of y(j).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 30 = 5*a + 5*p, -16*p = 18*a - 20*a - 60 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 3510 and 58669299?\nAnswer: 351","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 14833 - 14832.9. Let n = -0.2 + -1.8. Which is the closest to h?  (a) -4  (b) 13  (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-36)\/(-34)*(-80189)\/(-155661)\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 28 and 70?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is -8884\/723 <= 5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Convert 28215.67 decades to years.\nAnswer: 282156.7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6 = 5*d + d. Let v be (-11)\/22*(-22)\/d. Solve -2*i = -4, -i = -3*o - 0*i - v for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0 + 780\/100 + (-8)\/10\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -3?  (a) -0.4  (b) -0.1  (c) 4  (d) 0.63  (e) 154\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 u, 1 k, and 2 t when four letters picked without replacement from ytktkkuuuktutttkutu?\nAnswer: 105\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Round 153319.15 to the nearest 1000.\nAnswer: 153000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let t(n) = 71*n + 1. Let o(j) = -36*j. Determine 5*o(y) + 2*t(y).\nAnswer: -38*y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-9 + 13 - 9\/(-124)*(-5104)\/87)\/1.\nAnswer: -8\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:49 PM and 4:59 PM?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 23 - 19. Let c = 8 - 5. Which is bigger: s or c?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from bbbibbbbbbbbbbbbbb. What is prob of picking 2 b?\nAnswer: 8\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*p - 23 = m - 0*m, -m = 3. Solve 0 = -s - 3*w + w - 6, s + 3*w + p = 0 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -0.35 + 0.05. Suppose -15*t - 20 = -80. Let n be (-4)\/16 + (t - (-519)\/(-132)). Which is the closest to -0.2?  (a) 3  (b) n  (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2 a factor of 4568?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let b(q) = -q**2 + 10*q - 13. Let o be b(10). Let z = o + 17. Let f(u) = 7*u**2 + 2*u - 1. Let x be f(-1). Solve -x*c + z = -4 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 13493263?\nAnswer: 7, 233, 8273","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -4682*h**3*t**3*v + 2*h**3*t**2*v + 143610*h**3*t - 13*h**2*t**2 + h*t**3*v + 2*h - 1438*t**3*v wrt t?\nAnswer: -28092*h**3*v + 6*h*v - 8628*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 888 + 21?\nAnswer: 8a9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let l(p) = p**2 + 3*p - 6. Let v be l(-5). Solve 0 = -5*f, 0 = v*i - 0*f - 3*f for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (2*5\/30)\/1.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 5015.\nAnswer: 5, 17, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify q\/(q**(-26)\/q*q)*q\/(q\/q**(1\/11))*q assuming q is positive.\nAnswer: q**(309\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -7*f**3 + 931*f + 2024*f + 19*f**3.\nAnswer: 12*f**3 + 2955*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: How many hours are there in 8.3141064 seconds?\nAnswer: 0.002309474","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -11996 - -24148. What is the thousands digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -6251.37 * -0.3.\nAnswer: 1875.411","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 4100 - 7*w**3 + 1402*w**2 + 2596*w**2 - w**3 - 4100 + 7*w**5 wrt w?\nAnswer: 420*w**2 - 48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -1486 + 1483. Let f be 8\/(-21)*(3 - v)*-1. Factor -2\/7*b**3 + f*b**2 + 0 - 32\/7*b.\nAnswer: -2*b*(b - 4)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*j - 5*t + 160 = -2*j, j + 94 = -t. List the prime factors of (-1)\/((-4 - -7)\/j).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-1)\/(1*(-5)\/40*-4)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0?  (a) -7  (b) 0.4  (c) 0.2  (d) 61\/6  (e) -3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -8  (b) 5  (c) -234\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 111886889?\nAnswer: 111886889","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let s(o) = -5*o + 16. Suppose 49 - 5 = 11*l. Let b be s(l). Put b, -1, 3 in descending order.\nAnswer: 3, -1, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -46 - 2?\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 3413022 and 102?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 9 and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: -1.49376333 + 0.2\nAnswer: -1.29376333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -435 - -653. Let p = i - 220.89. What is p rounded to the nearest integer?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -1032323321210031 - -10?\nAnswer: -1032323321210021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Round 5189.529665 to the nearest 1000.\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4*i**2\/5 - 488*i\/5 + 14884\/5.\nAnswer: 4*(i - 61)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: 29907 + 13333\nAnswer: 43240","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -13*c + 17*c - 813599984. Let q be 8\/36 - c\/(-18). What is q rounded to the nearest 1000000?\nAnswer: 11000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 4, -741\/16, 1\/9 in ascending order.\nAnswer: -741\/16, 1\/9, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Does 52 divide 146947?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is -5594 plus 0?\nAnswer: -5594","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let o(j) = -8*j**2. Let s(g) be the third derivative of 0*g**3 + 0*g - 11\/24*g**4 + 39*g**2 + 0. What is s(o(w))?\nAnswer: 88*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-4 - 18\/(-3)) + 2. Solve r*m + 2*v + 6 = -2, 5*m - v + 24 = 0 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(m) = -m**3 - 12*m**2 - 12*m - 20. Let q be i(-8). Let x = q + 299. Does 17 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -42382995*x**5 - 33623*x**2 + 3993*x wrt x?\nAnswer: -2542979700*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let s(w) = -w**3 + 12*w**2 - 34*w + 145. Calculate s(10).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 170 minutes before 11:13 PM?\nAnswer: 8:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 1130030102 - 30?\nAnswer: 1130030012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 2642256?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -239*x**3 + 14*x**2 - 13583*x.\nAnswer: -1434*x + 28","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -194*b**3 + 38*b**3 + 10*b**3 + 121*b**3 + 10*b**3.\nAnswer: -15*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve -6034 + 9942 - 40480 = -145*r - 301*r for r.\nAnswer: 82","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1, -114, 0.2, 54 in ascending order.\nAnswer: -114, 0.2, 1, 54","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let k(t) be the second derivative of t**3\/2 + 12*t**2 - 9*t + 96. Let a(g) = -g - 8. Give 8*a(f) + 3*k(f).\nAnswer: f + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 547.871 centimeters in millimeters?\nAnswer: 5478.71","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (3\/8)\/(27\/(-12)).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Product of 7797 and 0.17.\nAnswer: 1325.49","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 9\/8, -0.1, -1\/39?\nAnswer: -1\/39","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -26 + 31. Let w(b) = 23*b**2 - 2*b. Let f be w(2). Suppose q - 2 = 0, -j*x + f = -0*x - q. Is 7 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -261 divided by 157.\nAnswer: -261\/157","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -42 + 33 = -9*o. Let j(d) = d + 9. Let n be j(-8). Let x(l) = 3*l**2 + 1. Let g be x(n). Put g, o, -1 in increasing order.\nAnswer: -1, o, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 377*n**3 + 2 - 2 - 11*n + 6*n + 9*n - 9*n.\nAnswer: 377*n**3 - 5*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -128 + 125. Let y(v) = 3*v + 3. What is y(h)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 0.5 and 137.8?\nAnswer: 68.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 75 = 3*g + 3*c, c = -3*c - 8. Suppose -5*h + 2*y + g = -7, 0 = 2*h - y - 13. Calculate the greatest common factor of h and 72.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (44*o**2 - 33*o**2 - 20*o**2 + (o + 2*o + 0*o)*(-o - o + o))*(-3*o + 6*o - 4*o) as i*o**3 + f + q*o + y*o**2 and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 21\/12 + -1 + 6186\/8. Let f = 1412 - c. List the prime factors of f.\nAnswer: 2, 11, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 u and 1 q when two letters picked without replacement from vvqvvvuvuuuuquv?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) 17  (b) -0.2  (c) 5  (d) 7479\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let w(c) = -c**2. Let r be (85\/(-10) + 7)*-246. Let p(h) = -347 + 10*h + r - 9*h. Give p(w(j)).\nAnswer: -j**2 + 22","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 151680 is divided by 149?\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((n**(-1))**(-8\/5)\/(n\/(n\/n**0))**(-40))**(-44) assuming n is positive.\nAnswer: n**(-352\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1282 is divided by 161.\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let j(k) = -4*k**2 - 98*k - 132. Give j(-23).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*b - 4*c + 35, 5*b - 10*c + 13*c = 35. Solve 4*g = 2*w + 19 - 29, -3*w - 5*g = b for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-2)\/(-3)*(-45)\/6. Suppose 0 = 3*h + 3*z + 6 + 6, -z + 4 = -h. Put h, 5, k in descending order.\nAnswer: 5, h, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 22 + 5\/10*8. Suppose 0 = -25*l + o*l - 48. List the prime factors of l.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 12\/(-4) + 4794\/3. Is (3\/(-5))\/((-11)\/d) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1 + sqrt(13) + sqrt(208)*5 + (-1*(2 + sqrt(13)) - (-1*sqrt(52))**2).\nAnswer: -53 + 20*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -65.5 - 2.5. Let p = -67.21 - l. Let i = -0.789951 + p. Round i to 5 decimal places.\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: 1 + -64 - (-18 + 50 + -30 + 15)\nAnswer: -80","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Does 35 divide 2467150?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 10341 to the power of 1\/3, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {x: 6, f: 2}. Give prob of picking 1 f and 2 x.\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 606934?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let y(s) = -8*s - 3. Let q be (-1)\/5 + (2 - 112\/40). Let r(i) = 1. What is q*y(f) - 3*r(f)?\nAnswer: 8*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Round 19599877 to the nearest ten thousand.\nAnswer: 19600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 132.786 + 0.214. Let d = v - 134. Let f = -29\/7 + 421\/105. Which is the closest to d?  (a) -3\/4  (b) f  (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6 + 942 = 9*o. Suppose 3*i - 298 - o = 0. Is 13 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose c = -3*n + 347, 75 = n - c - 38. Does 5 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-2688)\/1540 + 6\/11?\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 225*z**3 - 480*z**2 + 21*z + 294.\nAnswer: 3*(3*z + 2)*(5*z - 7)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-1)\/(-3) + (-1)\/3. Let z(t) = 0*t + y*t + 3*t. Let j(w) = w. What is z(j(u))?\nAnswer: 3*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:38 PM and 10:00 PM?\nAnswer: 202","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:52 PM and 4:45 PM?\nAnswer: 53","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: 29.5715 * -176\nAnswer: -5204.584","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 4499040 and 1170.\nAnswer: 390","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -20698.3 + 20695.299925. Let h = -3 - p. Round h to five dps.\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -12*b = 287 - 287 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 0*2\/4 - (20 - 23). Let z be 3\/(k - 45\/(-20)). Is z at most as big as 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = i + 2*i - 4*y + 7, 3*i = -y + 13. Let r(o) = 106*o + 13. Is r(i) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5 = -14*z + 15*z, 2*z + 214 = 4*i. Suppose -40 = -4*q - 2*g, -5*q + 4*g = 7*g - i. What is the lowest common multiple of 3 and q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 10476 = -15*d + 10326 for d.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*o - 16 + 1 = 0. Let h = 2 - o. Let p(w) = -w**2 + 7*w + 5. Calculate the remainder when 8 is divided by p(h).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2193*n - 2292*n = -1089 for n.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1*sqrt(143)*6*5)\/(sqrt(11) + sqrt(99)*4 + (-2*sqrt(11) + sqrt(11))*1).\nAnswer: 5*sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 167?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (7*k**2 - 20*k**2 - 16*k**2)*(-6*k - 5*k + 4*k + (0 + 3 - 4)*(-k - 1 + 1) + 1 - 1 - 3*k) to the form x*k + n + s*k**2 + t*k**3 and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (3*(-4*sqrt(57)*2 - sqrt(57)))\/(3*(sqrt(3) - (sqrt(192)*-1 - sqrt(192)))).\nAnswer: -9*sqrt(19)\/17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1114*m - 41130 = -12059 + 22173 for m.\nAnswer: 46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -7800 = 5405*p + 808*p - 76143 for p.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 13301*g - 13306*g = 0, -2*h + 10 = 5*g for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: 14355 + -4\nAnswer: 14351","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 4 + -7 + 4 - 3?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-5800)\/(-435))\/(((-1)\/(-6))\/((-2)\/8)).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Divide 80 by 268383.\nAnswer: 80\/268383","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-6621 + 6621 + 32*m)*(3*m**3 + 0*m**3 - 2*m**3) - 17*m**4 + 2*m + 14*m**4 - 4*m to j*m**4 + g*m**3 + l*m + b + k*m**2 and give l.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -5, -40, -2\/7?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 12\/(-3) - 4\/2. Let d = m + 2. Calculate the common denominator of 99\/8 and (-102)\/d + 0 - 1.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 151012 is divided by 151008.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Round 26200 to the nearest 10000.\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*g = -9*g + 2*s + 18, -g = -3*s - 19. Calculate the remainder when 166 is divided by g.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1 + (-17 - ((0 - 0) + -2)) + (-16264 - -16371).\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 1\/2 + 3 + (10\/4 - 2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 393 is divided by 357.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -13836655\/18 - -768954. Let z = 251 - n. Calculate the common denominator of (2 - 1) + (-393)\/(-36) and z.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -16*c**2 - 5833964*c + 55988005 wrt c.\nAnswer: -32*c - 5833964","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 142278165751 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -8 + 6. Let l(v) = 1. Let s(m) = 2*m**3 + 2*m**2 - m. Let f(h) = -l(h) - s(h). Determine f(t).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -408 rounded to the nearest one thousand?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Convert -1031121 (base 4) to base 11.\nAnswer: -37a3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -173.1784 + 0.1784. Which is bigger: w or -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(f) = f**2 + 1. Let q(b) be the first derivative of b**4\/2 - 4*b**3\/3 + b**2\/2 - 2*b + 332. Give 4*p(m) + q(m).\nAnswer: 2*m**3 + m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:04 PM and 10:08 AM?\nAnswer: 664","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -26\/3893597 or 1?\nAnswer: -26\/3893597","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -352 + 352.11. What is the closest to 0.2 in -3, 3, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -4*(-1)\/(-32)*-1.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -27*l = 2511 - 3375 for l.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*i + 15 = -2*i. Suppose 5*y = -2*h + 20, 0 = 4*y - i*h + 3 - 19. Factor 1\/4*d**3 - 1\/4*d**y + 0*d + 0 + 0*d**2.\nAnswer: -d**3*(d - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*d - 0 - 8. Let h be -1 + (-1 - d) + 1. Let u be (0 + -2 + h)*5. Sort u, 1, 2 in descending order.\nAnswer: 2, 1, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (3*3*(sqrt(121)*-2*-2 + sqrt(121)))\/((sqrt(44) - 4*sqrt(1100))\/(sqrt(36)*-2)).\nAnswer: 270*sqrt(11)\/19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1 in -1277, 29, 2\/5, -5, -10?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let c(r) be the first derivative of 16*r**3\/3 - 7*r**2 + 15. Let q(d) = -d**2 + d. Give 2*c(k) + 28*q(k).\nAnswer: 4*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from vuruuyuuuwiii. Give prob of sequence ir.\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*a + t = -2, 354 = -5*a + 3*t + 348. Let r(j) = j**2 - 3*j - 2. Determine r(a).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -835771 equal to -835770?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*o = -0*f - f - 3, 0 = -4*f + 5*o + 1. Let p be (f\/(-2))\/((-1)\/(-216)). Let t = 922 - 895. Calculate the greatest common divisor of t and p.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: 80\/(-10)*(-123)\/(-82)\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 856 to the power of 1\/4, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 396719*181.\nAnswer: 71806139","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 3006?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let g(y) = 6150*y**2. Let w(l) = 43*l**2. Determine 2*g(i) - 287*w(i).\nAnswer: -41*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 1129087051 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -44 and -0.2?\nAnswer: 8.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve 6*x + 55*x - 5*x + 56 = 0 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let x(w) be the first derivative of -868332*w**3 - 16140*w**2 - 100*w - 7724. Determine q so that x(q) = 0.\nAnswer: -5\/807","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -385584 to the nearest ten thousand.\nAnswer: -390000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let q(g) = -1555*g - 12263. What is q(-10)?\nAnswer: 3287","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 1258?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -8*h - 1123 + 2071 + 11*h to the form x*h + z and give z.\nAnswer: 948","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of 9407, 9419, 9447, 9497, 9575, 9687, 9839, 10037?\n\"Answer: p**3 + 2*p**2 - p + 9405","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: How many kilograms are there in 71\/4 of a tonne?\nAnswer: 17750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*r + 4*z = -21, 0 = -3*z - z - 12. Suppose -c + 5 = -5*f, -c + 5 = -4*f - 0*c. Let g = 3 + f. Put -4, g, r in decreasing order.\nAnswer: g, r, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 10651 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -1 + 33. Suppose 7*i - 2*i = -t + 12, i = -t + y. What is the tens digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 76617 to the power of 1\/4, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -16*z + 169 = -23. Calculate the lowest common multiple of z and 10.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(o) = o**2 + o. Let d(u) = -22*u**2 - 2*u + u**2 - 5*u - 11*u. Let y(f) = -d(f) - 18*k(f). Let w(r) = -r. What is w(y(s))?\nAnswer: -3*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence es when two letters picked without replacement from aseearrs?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*i = 2*w - 0*w + 17, 2*w - i = -19. Let a(d) = d**2 + 12*d + 20. Let p be a(w). Suppose p = 9*j - 0*j - 1611. What are the prime factors of j?\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many seconds are there in 25\/4 of a minute?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 376 minutes before 10:15 PM?\nAnswer: 3:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Put 36, 4\/5, 9\/5, -11\/4, -1\/4 in decreasing order.\nAnswer: 36, 9\/5, 4\/5, -1\/4, -11\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 14\/(-4)*(0 + -2). Suppose 0*c + 2*c = w + 4, -c = -5*w + l. What are the prime factors of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -8 + 5. Let m(x) = x**3 + 2*x**2 - 2*x + 2. Let q be m(k). Let c be (4 - 4)*q\/2. Solve c*i + i - 2 = 0 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-9)\/(-3) + 0 + 1. Solve 0 = p*r + r - 15 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -150*t + 5*t**2 + 3*t**2 + 213*t - 63*t - 639*t**3 to the form j*t + v + g*t**2 + u*t**3 and give g.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: 152\/(-28)*25830\/1845\nAnswer: -76","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 12885419 to the nearest integer?\nAnswer: 234","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -9.34 - -14.21. Let p = 9.87 - l. Sort -4, p, 0.9, -14 in descending order.\nAnswer: p, 0.9, -4, -14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1\/2 in -18274, -5, 22, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -159163, -159197, -159251, -159325?\nAnswer: -159419","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 422973 and 1260.\nAnswer: 59216220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 162 + -53. Let z = y - 111. Sort 0, -5, 5, z.\nAnswer: -5, z, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -12363.2 to the nearest one thousand.\nAnswer: -12000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 1245.125 grams in kilograms?\nAnswer: 1.245125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Round -135054.5 to the nearest one hundred.\nAnswer: -135100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose h = -3*m + 3*h - 16, 5*m + 4*h = -12. Sort m, -5, -8 in decreasing order.\nAnswer: m, -5, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(r) = -15*r**2. Let t(v) = -131*v**2 + 238*v**2 + 119*v**2 + 111*v**2. Calculate t(q(n)).\nAnswer: 75825*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-5)\/(-15)*(-270)\/30.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-476)\/(-1190))\/(3\/(-435)*-2)?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 16*l - 13*l - 48 = 0. Let x(a) = -56*a**2 + 3*a + 2. Let h be x(-2). Calculate the remainder when h\/(-5) - 6\/(-15) is divided by l.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (h**(-15\/4)\/h*h*h**(20\/7)\/h*h**4*h**(-6\/23)*h)**14 assuming h is positive.\nAnswer: h**(1833\/46)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*o - y + 7398023 = 0, -12330020 = -9*o + 4*o + 2*y. Let a be o\/18 + 1\/(-3). Round a to the nearest 10000.\nAnswer: 140000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.0585*4.\nAnswer: 0.234","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-3)\/(-1)*(-5)\/(-10).\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 10.4 - 5.4. Which is the closest to -2\/7?  (a) z  (b) 1\/2  (c) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 9838530\/198 + (-126)\/231?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 277 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -0.1, 2, 0.2, 18?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(684) + 0 + sqrt(684) + -3 + (sqrt(684) - (-1 + sqrt(684))) + 1)*5)**2 - -4*(sqrt(684)*1*6 + (2*(-1 + sqrt(684)) + sqrt(684))**2).\nAnswer: -744*sqrt(19) + 93065","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -3125, -12648, -28567, -50882, -79593?\nAnswer: -114700","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (i*i*i\/i**(-2\/7)*i*i)**(-43)\/(i*i*i\/i**(-2)*i*i\/i**4*i)*((i**(-1\/2)*i)\/i*i*i*i**(-3\/7))**(41\/4) assuming i is positive.\nAnswer: i**(-12337\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is (-15444)\/528 + (-8 - -47)?\nAnswer: 39\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(t) be the second derivative of t**7\/840 - t**6\/80 + t**5\/20 + t**4\/6 + t. Let b(f) be the third derivative of h(f). Determine x so that b(x) = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(d) = 2514*d + 37718. Calculate p(-15).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.1 in 0.01888, 0.3, 0.5?\nAnswer: 0.01888","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: 797 divided by 13837\nAnswer: 797\/13837","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2 = 5*u + 3. Let j be 84\/12 - u*1. Suppose -3*x + 14 - j = 0. List the prime factors of x.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 8*z**4 + 7 - 3*z**4 - 4 - 10*z - z**4 - z**4 to i*z**2 + k*z + x + c*z**3 + m*z**4 and give k.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.3 plus 1384?\nAnswer: 1383.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let p(t) = -2*t - 98. Let q(s) = -s - 975. What is q(p(v))?\nAnswer: 2*v - 877","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*n - 1 + 23 = 0. What is the greatest common divisor of 88 and n?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many nanograms are there in one quarter of a microgram?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 4209, 4203, 4181, 4131, 4041?\nAnswer: 3899","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 6242 to the power of 1\/2, to the nearest integer?\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let m(g) = 4*g**2 - 3*g - 2. Let d(q) be the second derivative of 13*q**4\/12 - 5*q**3\/3 - 7*q**2\/2 + 4*q. Calculate -4*d(n) + 14*m(n).\nAnswer: 4*n**2 - 2*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -71*a**2*y**2 + 5*a**2*y - 2*a*y + 4*y**3 + 11*y wrt y.\nAnswer: -142*a**2 + 24*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Convert 31141.72 hours to seconds.\nAnswer: 112110192","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let b(f) = -f + 10. Let m be b(12). Put 0, -5, m in increasing order.\nAnswer: -5, m, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {u: 7, g: 12}. Give prob of picking 4 u.\nAnswer: 35\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -4 - 1. Let l be (2625\/(-3500))\/((-33)\/8). Which is the biggest value?  (a) -10\/9  (b) 2\/9  (c) l  (d) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 734 and 86979.\nAnswer: 367","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: (14\/(-2))\/((-238)\/(-238))\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 75873*y**6 - 2*y**4 + 269*y**2 - 1 wrt y.\nAnswer: 9104760*y**3 - 48*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*b - 0*k + 2*k, 3*k - 23 = -4*b. Solve 0 = c + 3*l + 3 + 5, b*l + 27 = -5*c for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 3497 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Expand 4*j**4 - 2*j**4 + j**4 + (0*j - 5*j + 4*j)*(-j**3 - j**3 + 3*j**3) + (7 - 7 - 11*j**2)*(0*j**2 - 2*j**2 - j**2).\nAnswer: 35*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(33) - (sqrt(297) - 1*sqrt(297))\/sqrt(9))\/(sqrt(24)\/(sqrt(24)\/sqrt(3))).\nAnswer: sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 14\/(-245)*14\/(-2).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Put 5, -2, 4609, -1\/15 in descending order.\nAnswer: 4609, 5, -1\/15, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -226.7 - -227. Let j = -1161\/7 + 6331\/28. Let p = 60 - j. Sort -1, i, 4, p.\nAnswer: -1, p, i, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 631067854 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: -c7 (base 16) to base 6\nAnswer: -531","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: -86ce (base 15) to base 13\nAnswer: -ccb9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Convert 113433212 (base 5) to base 2.\nAnswer: 10000001100000000000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1101 (base 3) to base 5.\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: -3210002203 (base 4) to base 8\nAnswer: -3440243","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 196672457.\nAnswer: 3911, 50287","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (328624\/(-7567))\/((-24)\/(-21))?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(r) = 2*r. Let j(f) = -f - 27. Let l(k) = -40. Let h(m) = -6*j(m) + 4*l(m). Give h(u(n)).\nAnswer: 12*n + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3*c + 2*c - 5*c + 0*c + c**2.\nAnswer: c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 162023 to the nearest integer?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 87673847 less than 16?\nAnswer: -87673831","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is -44 != -47?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 410893 and 17647.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 69*i + 64 - 271 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-22)\/(-4) + (-1)\/2. What is the third derivative of -8*v**6 - 8*v**2 - u*v**6 - 9*v**2 wrt v?\nAnswer: -1560*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 3458 is divided by 347?\nAnswer: 335","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*m + m - m)*(-1 - 1 + 0) - 7*m + 5*m - 14*m.\nAnswer: -12*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let t(f) = 104*f + 21. Let b be (4\/(-5))\/(17\/(-170)). Is t(b) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3504083 to the power of 1\/8, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 2\/(-20) - (-23263)\/430. Solve -55*a = -z*a + 3 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 80 - 44. Let p = q + -26. What is the units digit of p?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 19*k - 21*k = 3*j + 5, -j = 3*k + 11 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -877*i + 869*i + 64 = 0. Suppose 4*v - 9 = -1. Find the second derivative of 14*c**v - i*c - 159 + 159 wrt c.\nAnswer: 28","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(r) be the third derivative of r**6\/60 + 11*r**5\/60 - 3*r**4\/8 + 26*r**2. Let k(c) = 2*c**2 + 8*c - 2*c - c - 8*c**2 - c**3. Calculate -11*k(b) - 6*s(b).\nAnswer: -b**3 - b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: 3141 (base 15) to base 14\nAnswer: 3b19","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Express 86*t**3 - 6*t**3 + 68*t**3 + (2 - 2 + 2*t)*(-t**2 + 8*t**2 + 0*t**2) as p*t**2 + q*t**3 + a*t + u and give q.\nAnswer: 162","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -510.7 - -506.7. What is the biggest value in 97, 0.2, s, -2?\nAnswer: 97","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 18 (base 13) in base 8?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0 in -2.81, 1\/7, 118?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*l - 34 = 2*p, 5*p = 4*l - 38 - 11. Solve -5*h = -2*h + l for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 84975?\nAnswer: 3, 5, 11, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {l: 1, s: 1, z: 2, r: 2, u: 1}. What is prob of picking 1 u and 2 r?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (x**(2\/19)*x)**(4\/5) assuming x is positive.\nAnswer: x**(84\/95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 180*o = 168*o + 708. Suppose 62 = z + o. Solve -1\/2*y**z + 0 + y**2 + 3\/2*y = 0.\nAnswer: -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 4105774*c**3 - 611*c + 1096 wrt c?\nAnswer: 24634644*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let z(l) = 15*l**2 - 8*l + 8. List the prime factors of z(3).\nAnswer: 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 4.2 + 24043516985.52.\nAnswer: 24043516989.72","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.2 in -1303, 3, -93.25, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is t in 2*t**5 + 208*t**4 - 1296*t**3 + 2624*t**2 - 1760*t = 0?\nAnswer: -110, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4*(-1 + 3 + ((1 + sqrt(175))*-4 - (sqrt(175) + -1)*2)*-5 + -5)**2.\nAnswer: 8400*sqrt(7) + 630196","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of 14076, 14046, 13960, 13788, 13500, 13066, 12456?\n\"Answer: -5*s**3 + 2*s**2 - s + 14080","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 7456 and 237344.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -31 + 33. Let j(b) = -b**3 + 10*b**2 + b - 4. Let o be j(10). Let d = o - 1. Solve -d + 3 = -a*m for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 184 minutes before 9:52 PM?\nAnswer: 6:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-c**2 + 2*c**2 - 2*c**2)*(-4 + c + 4) - 3*c**3 + 4*c**3 + c**3 - 4*c**3 - 3*c**2 + 3*c**2 + (1 + 0 + 0)*(-3*c**3 - 8*c**3 + c**3).\nAnswer: -13*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*o + o + 3*o)*(-5*o**4 - 28*o**4 - 3*o**4) + (2*o**4 - 2*o**4 + 2*o**4)*(-5*o + 5*o + 2*o).\nAnswer: -68*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let j(v) = -3*v + 17. Calculate j(10).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:21 AM and 1:09 PM?\nAnswer: 468","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 9562930?\nAnswer: 2, 5, 13, 73561","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let l(h) = -h**2 + 7*h + 10. Let q be l(8). Suppose q*p = p + 7. Suppose -u + 4 + p = 0. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 13158160?\nAnswer: 2, 5, 164477","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 331502.\nAnswer: 2, 83, 1997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (24\/40 + -1)*10\/(-8). Let q = -48 - -44. Sort q, -6, o.\nAnswer: -6, q, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(k) = -17*k**2 - 547*k - 34. Let v(p) be the third derivative of p**4\/24 + 4*p**3\/3 - 3*p**2. Calculate the lowest common multiple of v(-6) and b(-32).\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 5*p - 2 + 22 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*j + 2*j - 16. Let l(q) = q - 3. Let r be l(11). Let x be 4\/r - 6\/(-2). Which is smaller: j or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3 a factor of 2\/(-15) - 4080\/(-225)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence me when two letters picked without replacement from {k: 2, r: 3, e: 1, u: 4, m: 2}?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Express 577*t + 7 - 191*t + 6*t**2 - 187*t - 198*t in the form a*t + g + z*t**2 and give a.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 203 is divided by 9.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4 = -0*p - 4*p. Is 4\/(-2) + 35*p a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of (-88188)\/(-14) - (-39 - (-5480)\/140)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 0 + 65*g**2 - 18*g**2 + 0.\nAnswer: 47*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -0.3227 + 9.6503. Round t to zero decimal places.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -5\/12, 3, 2, 1?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -1d03 - -4229?\nAnswer: 2526","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 0.8 - 0.84. Let h = v - 0.01. Sort h, 3, -1 in increasing order.\nAnswer: -1, h, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 468383310?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:40 PM and 11:53 PM?\nAnswer: 313","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -2\/3 in -0.2, 0.5, -17, 3, 14203?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (n**1\/n**4)\/(n**(-3)\/(n**(6\/7)\/n))*(n**(-5)*n*n)\/(n*n**4)*n\/(n\/(n\/(n*n*n**(-2\/7)*n)))*((n**(-4\/5)\/n)\/n*n)\/n assuming n is positive.\nAnswer: n**(-443\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let m(n) = -14*n - 2. Let u(l) = -24*l - 99. Calculate m(u(y)).\nAnswer: 336*y + 1384","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*u = -t - 6, -5*u + 99 = -t - 3*t. Let f(l) = l**2 + 23*l + 47. Let v be f(t). Suppose -a + v*q = a - 70, 5*a + 2*q - 146 = 0. Is a a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 13482 to the power of 1\/5, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -4*d - 8*d - 36 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 9, 11, 11, 9, 5?\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -0.2 - 2.8. Let r = 0.49 - 0.09. What is the nearest to -1 in r, -4, l?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine c so that -2*c**3\/15 - 1076*c**2\/15 - 1416*c\/5 + 4272\/5 = 0.\nAnswer: -534, -6, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -4*78\/216*(-390)\/260.\nAnswer: 13\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -10 - -15. What is the second derivative of -c*y - 11*y**4 + 2*y**5 + 11*y**4 wrt y?\nAnswer: 40*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 3 - -4. Differentiate 4 - 5 - w*h**2 + 6*h**2 wrt h.\nAnswer: -2*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*h + 3 = 4*h. Let b be (-2)\/(12\/h)*2. Let c be -2*(-1 + -1 + b). Solve c*j - 16 = -2*j for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -1102 at least 980?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let d(m) = -156*m**2. Let w(y) = -3*y**2. Determine d(w(z)).\nAnswer: -1404*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (p**(2\/3)*p**(2\/5)*p*p**(-4\/5)*(p**2*p*p*p)\/p)\/(p**(-4)*p**(2\/9)*p*p)**26 assuming p is positive.\nAnswer: p**(2317\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 2153 and 21.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let w(f) = -5*f**3 - f**2 - 14*f - 1. Let a(z) = z**3 + z**2 + 2*z. Let o(i) = 6*a(i) + w(i). Give o(-5).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 11 - (-12 + 41) - -26.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -734, -729, -724, -719?\nAnswer: -714","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10*i - 28 + 18 = 0. Find the common denominator of 4\/((-40)\/43) + 0 and i.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence yewe when four letters picked without replacement from {w: 2, e: 10, y: 2}.\nAnswer: 15\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -6*(1*sqrt(300) + -1) + 0 + -3.\nAnswer: -60*sqrt(3) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Convert 463306.1l to millilitres.\nAnswer: 463306100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is -69270 at least as big as -69270?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 424 and 34984?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 9*(-6)\/24 + (-3)\/(-2)?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10*k + 375 + 375 = 0. Find the second derivative of -5*s - k*s + 71*s**5 - 33*s wrt s.\nAnswer: 1420*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: -6 * 0.1503983\nAnswer: -0.9023898","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let l(u) = 10 - 182*u**2 + 27 - 20 + 17*u + 46*u**2. Let x(p) = -17*p**2 + 2*p + 2. Determine -2*l(k) + 17*x(k).\nAnswer: -17*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of d*j*v**2 - 8*d*v**3 + 2*d + 2*j*v + 77*j + v wrt v?\nAnswer: 2*d*j*v - 24*d*v**2 + 2*j + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from gfswoco. What is prob of picking 2 o?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (2\/6)\/1 + (-3486)\/1260. Let b = c - -17\/6. Is b > -1\/102?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(i) = -1 + 2 - 1 - i. Let r(n) = 4 - 5 - 6*n + 6*n - 2*n. Let t be -1 + -1 + 0 + 0. Calculate t*b(f) + 2*r(f).\nAnswer: -2*f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 558447396?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let k(f) = 2*f**2 - 16*f - 18. Suppose 10*h + 44 = 14*h. Let n be k(h). Calculate the highest common divisor of 32 and n.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:06 AM and 4:45 PM?\nAnswer: 399","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 4359 + -3904. What is the greatest common divisor of 650 and a?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*z**4 + 44356*z**3 + 44360*z**2 = 0.\nAnswer: -1, 0, 11090","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there in 3\/7 of a week?\nAnswer: 4320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Express (2 + 0 - 1)*(3*f - 13*f**2 + 33*f**2 + 18*f**2) in the form y + o*f + t*f**2 and give t.\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*o - 120 = -0*o. What is the lowest common multiple of o and (106\/(-212))\/(2\/(-48))?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 6232487697.\nAnswer: 3, 661, 1047653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let d(k) = k**2 - 4*k - 7. Let i be d(-6). Let g = -23 - i. Let z = 126 + g. Is z a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 595 minutes before 6:03 PM?\nAnswer: 8:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 7696 - 15393\/2. What is the nearest to v in -0.04, 1\/2, -1?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -700.8 rounded to the nearest 10?\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 37 a factor of 35894?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -9585 + 9587. Let w be 8\/6 - 2\/(-3). Suppose h + 2 = -w*h - 2*y, o*h + 4*y - 4 = 0. What is the closest to 1 in -1, 0.3, h?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 5 - (-17 - -34 - -35 - 15)?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 46776 is divided by 23.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -a + 3 = -2. Solve -a*w - 3*j - 16 = -2*j, -3*w + 2*j = 7 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 18.08 rounded to the nearest ten?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 20305 - s - 191*s**3 - 20305.\nAnswer: -191*s**3 - s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Does 17 divide 55668?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Round -149310000 to the nearest 1000000.\nAnswer: -149000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -0.1 or 2.942?\nAnswer: 2.942","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 122*w - 123*w = 0. Suppose w = -2*c + 6, -2*i - c + 1627 = -4650. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -0.04 + 0.04124. Round r to 4 decimal places.\nAnswer: 0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -2 + 0 + 317 + -331 - 13?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -60\/131 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*u = -0*q - 4*q + 62, 0 = -u - 9*q + 13444 - 13299 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {v: 3, y: 1, a: 3, l: 1, c: 5, d: 1}. Give prob of picking 1 a and 1 d.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 18017 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 79074 and 560967?\nAnswer: 77413446","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 481 and 55019?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -66.02 + 97.41. What is c rounded to the nearest ten?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of (-36)\/630 - (-144)\/70.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(b) = -75*b + 558. What is the least common multiple of m(6) and 7?\nAnswer: 756","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1284*s**2 - 210*s**2 + 950*s**2)*(2*s - 2*s - s)*(4 - 6 + 4).\nAnswer: -4048*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is (-67)\/(-2) - (-1)\/(-2) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*h + 75 = 4*w + 8*h, 4*h = -3*w + 57. Suppose 0 = -u + w + 12. Let k be (-6)\/(-2)*3\/u. Sort 2, k, 4 in decreasing order.\nAnswer: 4, 2, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of 13 and 29659061.\nAnswer: 385567793","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 49 + 27*a**2 - 49 + 49*a**2.\nAnswer: 76*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of 11832387, 11832396, 11832419, 11832462, 11832531, 11832632?\n\"Answer: m**3 + m**2 - m + 11832386","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Put -2, -4, 529221 in ascending order.\nAnswer: -4, -2, 529221","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Put 9, -5, 4972 in decreasing order.\nAnswer: 4972, 9, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 457.\nAnswer: 457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2208 = 129865*k - 129796*k for k.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 g and 2 z when four letters picked without replacement from gzzgzggzgzzzggzggzz.\nAnswer: 135\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 10052 and 112.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: 33.212 - -1.1671\nAnswer: 34.3791","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.000156535 rounded to six decimal places?\nAnswer: -0.000157","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve 114*n - 196*n - 33 = -3*p - 79*n, 6*n = 4*p - 44 for p.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let i(b) = -b**3 + 3*b**2 + 3*b. Let z(a) = 9*a - 4. Let p be z(3). Suppose p = 5*c - 2. Calculate the least common multiple of c and i(3).\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 5542662?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Expand (6*h - 4 - 4*h + 0*h)*(-11 + 500 + 62).\nAnswer: 1102*h - 2204","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 38\/(-117)*(-76)\/40. Let u = 2\/117 - a. Let c = -6237.5 + 6237. What is the fourth biggest value in u, c, 2\/15, -0.2?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1465*q = -725*q - 41440 for q.\nAnswer: 56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let q(u) = -2*u + 1. Let m(w) = 3*w. Suppose -3 = d + 2. Let f(r) = d*q(r) - 4*m(r). What is the units digit of f(-6)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 15712 + 26*l**3 - l**4 - l - 7854 - 7857 + 2*l**2 to a*l + g*l**2 + i + x*l**3 + p*l**4 and give x.\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let h(q) = -2*q**3 + q**2 + 2*q + 1. Let s be h(-1). Let v = s + 2. Suppose 0 = -j + v*j. Solve j = -5*p - 3*f - 1, 0 = 2*p + 3*p + 2*f + 4 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2*i**2 + 8*i**2 - 10*i**2.\nAnswer: -4*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 0.05101 and 4.\nAnswer: 0.20404","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2 - 6 = 2*w. Let v be (16\/28)\/(w\/(-7)). Suppose v*l + 4 = 4*l. Solve 0 = l*g - 6*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*q = 0, 0*d - 3*q + 20 = 5*d. Suppose m + 7*k - 2*k - d = 0, 8 = 2*m + 5*k. Solve -m*l - 10 = 2*u, 2*l - 4*u - 20 = -0*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 23537571 is divided by 23896.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 13 - 21230233?\nAnswer: -21230220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 5\/6 of a day in minutes?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:49 PM and 8:55 PM?\nAnswer: 246","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1\/2?  (a) 1  (b) -469  (c) -11  (d) 0.08\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 489056 divided by -2108.\nAnswer: -232","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -5\/4 in 5\/4, 2\/5, 0, -0.5, 0.23?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*y - 17967 + 60723. Let g = -256633\/24 - y. Let b = -3\/440 - 1959\/3080. Calculate the common denominator of g and b.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 11 + 1345?\nAnswer: 1356","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 419572984 to the power of 1\/2, to the nearest integer?\nAnswer: 20483","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:03 AM and 5:13 PM?\nAnswer: 490","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 1690840 and 10.\nAnswer: 16908400","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 3361609?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Put -21.4, -1162, -17, 1\/2 in descending order.\nAnswer: 1\/2, -17, -21.4, -1162","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*j + 2*o = 27, -4 = o - 0*o. Let b = -5 + j. Solve 0*v + g = b*v + 3, -v = 4*g + 6 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -5\/6  (b) -1  (c) -3  (d) -0.17  (e) -61  (f) -5\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 266 and 224?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.21757 to one dp.\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let j be ((-5)\/(-2))\/((-1)\/(-2)). Suppose u = j - 3. Suppose 4*w + 5*c = 42, -5*w - 116*c + 9 = -117*c. Solve -w*d = u*d + 5 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -39018*g**6 - 570*g**3*h**2 + 1346*g**2 - 2*h**2 + 1598*h wrt g.\nAnswer: -4682160*g**3 - 3420*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 71536 is divided by 69.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 194 = 13*l - 53. Suppose g + l = 4*x, 2*x - 4*g + 1 = 7. Solve 4*f = 7*f - 4*p - 24, 2*f + p = x for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 3 + 4\/((-8)\/6). Suppose v = x + 3*u - 50, 0*x - u = x - 46. What is the tens digit of x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -1717589 + 1717573.39774. Let m = 0.074 + -15.674. Let g = p - m. What is g rounded to four dps?\nAnswer: -0.0023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 21493523687.4 minus -0.3?\nAnswer: 21493523687.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -6?  (a) -2  (b) -3  (c) 7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 3910, 4457, 5374, 6667, 8342?\nAnswer: 10405","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10 = -3*t - 4*c - 48, -3*c - 33 = 3*t. Let j(l) = -15*l. Let p(m) = 5*m. What is t*j(u) - 17*p(u)?\nAnswer: 5*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {l: 2, a: 5}. What is prob of picking 1 l and 1 a?\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*h - 7*h + 30 = 0. Let b be 8\/(-3 + (-125)\/(-40)). Suppose -2*o - b = 4*w - 2*w, 0 = -3*w - h. Round o to the nearest ten.\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine c so that 4*c**2 - 1078708*c = 0.\nAnswer: 0, 269677","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 432\/336 + -1 + (-10)\/(-14).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Express -25*r + 50*r + 3*r**3 + 2*r**2 - 19*r in the form m*r**2 + h + a*r**3 + c*r and give c.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let y be ((-728)\/(-42))\/((-1)\/(-6)). What is the highest common factor of 8 and y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:36 PM and 12:01 AM?\nAnswer: 265","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 67 + -32?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1\/2, -7\/6, 0.17 in descending order.\nAnswer: 0.17, -1\/2, -7\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let l(f) = f**2 + 5*f + 9. Let s be l(-4). Let a be 10\/(-60) + 43\/6. Solve -4*i = -a*g + 2*g - 21, -3*i = s*g - 7 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*j + 2 = j. Suppose 328 = 4*s + 4*i, 0 = 2*s - 2*i - i - 149. Suppose u + 2*h - 22 = 0, -j*h - 3 = 4*u - s. Is u a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 2.71 + -2.61. Put i, -3, 5, 1\/9 in ascending order.\nAnswer: -3, i, 1\/9, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 0.5, -10.6, 0 in descending order.\nAnswer: 0.5, 0, -10.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose v - 1977 = 4*l - 8022, 4*v = l - 1530. Round l to the nearest 10000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 6022373?\nAnswer: 7, 19, 45281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Expand (19 + 0 + 8)*(-2 + 2 - l**2) - l**2 + 0*l**2 - 2*l**2.\nAnswer: -30*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of ((-228)\/6)\/(64\/(-8096))?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 1  (b) 17\/11  (c) 0.2  (d) -1.23  (e) 28  (f) 0.5\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 670 is divided by 288?\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*p = 225 + 40. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*i + 5*i - 3*i)*(-3*i - 4*i + 5*i) - 9*i**2 - 4*i**2 - i**2.\nAnswer: -12*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: How many millennia are there in 69574.4 centuries?\nAnswer: 6957.44","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*k = 5*b + k - 80, -2*k = -3*b + 49. Are b and 12 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (2 - 2 - 2)*(-516*y**4 - 403*y**4 + 2*y - 1848*y**4) to x*y + p + f*y**4 + q*y**2 + d*y**3 and give f.\nAnswer: 5534","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let u(i) = 48*i - 3. Let x(v) = 3922*v**2 - 7847*v**2 + 3926*v**2. Determine u(x(l)).\nAnswer: 48*l**2 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -9 + 5 + -1 + 2?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 19241 + -9708. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 212101\/13908 + -1\/3477. Let p(r) = -r + 9. Let h be p(-6). Let t = s - h. Sort 1\/7, 0.3, t in descending order.\nAnswer: 0.3, t, 1\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 68214 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve -42*n + 14*n = -140 + 56 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let a be ((-40)\/30)\/(2\/9). Let w be (((-9)\/a)\/(-3))\/(1\/(-6)). Solve -v - w*v + 8 = 0 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -0.66 + 0.16. Let m = x + 0.8. Let r = -0.5 + m. Is 1\/20 bigger than r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(p) be the first derivative of p**4\/10 + 2*p**3\/3 - 6*p**2\/5 - 80. Let f(z) = 0. What is z?\nAnswer: -6, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(132)\/((-1*sqrt(108))\/sqrt(9)) + (-4*sqrt(55)\/sqrt(5))**2 + 0)*-5.\nAnswer: -880 + 5*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 532238303.\nAnswer: 37, 14384819","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 13*f + 1682 - 408 = 0. Let w = f + 253. What is the units digit of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from kdbvmvam. Give prob of sequence bakv.\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (0 - (-6 + -9)) + 205. What is the highest common factor of l and 5665?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -531.58 + 544.5574. What is w rounded to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -617 - -616.97. Put -3, 1, -0.2, g in descending order.\nAnswer: 1, g, -0.2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence tit when three letters picked without replacement from bttit?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 6\/10 - (-3106)\/(-5010). Let n = z + 3172\/108717. Suppose 0 = -4*o + 121*d - 117*d, -5*o - 3*d = -8. Which is bigger: o or n?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 17013 times -21988?\nAnswer: -374081844","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let t(c) = 4*c**2 + 7*c - 7. Let i(q) = -2*q**2 - 3*q + 3. Let v(x) = -x + 1. Let g be v(3). Let w = 334 + -339. Determine g*t(n) + w*i(n).\nAnswer: 2*n**2 + n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1816 = 5*f + 4*s, 0*f + f + 2*s = 362. What is the units digit of f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -75728547*q**3 - 4040*q**2 + 2961*q + 2 wrt q?\nAnswer: -454371282","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of -6945, -13887, -20829, -27771?\n\"Answer: -6942*f - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is g in 2\/3*g**2 + 4 - 10\/3*g = 0?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 q and 1 z when three letters picked without replacement from {l: 1, q: 2, j: 1, z: 2}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 796921519 to the nearest integer?\nAnswer: 927","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 1035 a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: 1001*-2\nAnswer: -2002","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 13.68048 minus -0.19?\nAnswer: 13.87048","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 102767281 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Round -14909.881 to the nearest ten thousand.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 14 = 148*i - 146*i - 2*c, -5*c = 5*i - 5. Sort 8\/11, -4, 0.1, i.\nAnswer: -4, 0.1, 8\/11, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -29*p + 26*p = b + 28, 2*b - 12 = 11*p for b.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*k = 13*k - 8*k. Suppose 0*x + x - 332 = -3*u, -u + 5*x + 84 = k. What is the units digit of u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 79*l + 10831 = 80*l. Is l 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 21389 and 219.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let n(i) = 2*i - 5. Let d(s) = 3*s - 8. Let c(p) = 5*d(p) - 8*n(p). Suppose -33 = -3*z + 3*w, 13 = -3*z + 6*z + w. Let t(g) = 5*g + 6. What is z*c(u) + t(u)?\nAnswer: -u + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -522 - -749. Let l = -225 + h. Suppose -10 = -5*w + 30. Sort w, -4\/7, l in decreasing order.\nAnswer: w, l, -4\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 106 - 104. Suppose -i*t = 4*z - 52, 14*t + 3*z - 84 = 10*t. What is the smallest common multiple of t and 8?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify w**(3\/7)\/(w*(w*w**(-19)*w)\/w*w) assuming w is positive.\nAnswer: w**(115\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.351 - 73988765895.\nAnswer: -73988765895.351","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Determine a so that 16*a**5\/5 + 36*a**4\/5 - 43448*a**3\/5 - 183696*a**2\/5 + 173032*a\/5 + 10812 = 0.\nAnswer: -51, -5, -1\/4, 1, 53","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (-167*(1 + -2))\/(-7). Let w = -24 - a. Let b be ((-3)\/(-6))\/(165\/66). Put 21, w, b in descending order.\nAnswer: 21, b, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -89\/96 and 9\/32?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let d(h) = -23*h**2 + 2*h. Let k(n) = 25*n**2. Let x(c) = 3*d(c) + 2*k(c). Let l(f) = 39*f**2 - 13*f. What is -6*l(m) - 13*x(m)?\nAnswer: 13*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from amtooqaomaoqtqto. Give prob of picking 1 m, 1 q, and 2 o.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 4242 a factor of 1750444332?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -4.99 - 0.01. Let w = 0.234 + -0.334. Which is the closest to w?  (a) -2\/15  (b) u  (c) -2\/19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -12077241 or -12077239?\nAnswer: -12077241","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -14090 - -14267. Solve -190*g + z*g + 52 = 0 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -3 - -7. Let i = -20 + 11. Let p be ((-12)\/i)\/((-8)\/(-6)). Solve p = j*t - 15 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -125\/2658 and 14\/2673505.\nAnswer: 16041030","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"}
{"text":"Question: Let v(l) = -l + 3*l**3 - 3 + 2*l**3 + 5*l**2 - 4*l**3. Let a be v(-5). Factor -4*u**a + 2*u**2 + 2*u + 4*u**2.\nAnswer: 2*u*(u + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 24\/45 + (-7)\/(378\/36). Sort 5, 0, k, -19.\nAnswer: -19, k, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 3960831 is divided by 1116?\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 525 minutes before 7:04 PM?\nAnswer: 10:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1922761.\nAnswer: 673, 2857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2 + ((sqrt(45) - sqrt(270)\/sqrt(6))*-6)\/sqrt(9) + -3.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of 1001, 1000, 999, 998, 997, 996?\n\"Answer: -n + 1002","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10*n + 11*n - y = 8, 2*n = 4*y + 24. Solve -12*l + 7*l = n*h + 2, -7 = -h - 5*l for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 644326 bigger than 644326?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: 3188133 divided by -44\nAnswer: -3188133\/44","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 18353 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 756271 not equal to 3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let y(l) = -l**3 - 12*l**2 + 12*l + 2. What is y(-13)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -23\/2 - -12. Let a = -6 - -8. Suppose -2*z - 3*k + 3 = -0, a*k + 6 = -4*z. What is the biggest value in z, 0.2, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many micrometers are there in seven quarters of a centimeter?\nAnswer: 17500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*z + 5*x + 137 = 4*x, x = -2*z - 67. Let y = -35 - z. Factor y*u**2 - 2\/7*u**5 + 0 + 2\/7*u**4 + 0*u**3 + 0*u.\nAnswer: -2*u**4*(u - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -2757*g*t**5 + g*t**3 + 859*g*t**2 wrt t?\nAnswer: -165420*g*t**2 + 6*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Sort 11, 2, 4, 0 in increasing order.\nAnswer: 0, 2, 4, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -644169*c**3 - 2575468*c**2 wrt c?\nAnswer: -3865014","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -6 + 3 - 0 - -2.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -383 + 361 - ((-6 - 4) + 1 - -3).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 490 minutes after 4:08 PM?\nAnswer: 12:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve -61*f + 347 = 408 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: (12 - 12) + (-1 - 2)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 3 in -5\/4, 2\/13, -1\/3, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(7) + sqrt(7) + -1 + 4 - (sqrt(7) - (1 + (sqrt(21)\/sqrt(3) - sqrt(7))))**2)*-2.\nAnswer: -8*sqrt(7) + 10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 u and 3 s when four letters picked without replacement from {u: 3, s: 4, v: 1}?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.3 in -18, 3, -0.36?\nAnswer: -0.36","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let p(a) = -55*a**2 + 1319*a + 24. Calculate p(24).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 617385 and 15405.\nAnswer: 1185","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 5\/4*(3 - -1). Suppose 0 = -4*z + 4*w + 28, -3*z + q*z - 4*w = 10. Let y = z - 4. Solve 2 = y*p + 7, -4*b + 9 = 3*p for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -105 + 39. Let h = 110 + d. Is h a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 - n - 3 + n**2 + 1)*(5*n + n - 11*n).\nAnswer: -5*n**3 + 5*n**2 + 15*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -1 + (-6 - ((-11 - -4) + (22 - 21))).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 59316 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 are the prime factors of 2230649390?\nAnswer: 2, 5, 17, 45403","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let w(x) = -x + 6*x**2 + 11*x**2 - 5*x**2. Let r be w(-1). Let q = -17 + 26. Solve -j - p = -3*j + r, -j = -p - q for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 x and 1 r when four letters picked without replacement from {r: 9, x: 3}.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((t**(-4)*t*t\/t**4)\/(t**(1\/6)*t**(-3\/8)*t))**(26\/5) assuming t is positive.\nAnswer: t**(-2119\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Does 7 divide 3883?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is -4322280 rounded to the nearest ten thousand?\nAnswer: -4320000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 13568 and 180200?\nAnswer: 424","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Do -283.3 and 8\/965 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Divide -55 by -6.\nAnswer: 55\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 279 minutes before 1:43 AM?\nAnswer: 9:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1189 is divided by 567.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 29782606?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1\/2 in 2\/15, -19\/2, -4\/73, 3760?\nAnswer: -4\/73","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is thirteen quarters of a litre in millilitres?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 6*(-2013)\/198 - -32.\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 900312 a multiple of 620?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-56)\/16 - (-1)\/2. Sort -5, n, -0.3 in descending order.\nAnswer: -0.3, n, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 456 minutes after 7:55 AM?\nAnswer: 3:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 41 - 37. Suppose -j = -r + 3*j - 13, -27 = -r - s*j. Suppose 0 = -0*m + r*m - 889. Is m a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 1, -78\/11, -0.3, -4?\nAnswer: -78\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -15351, -15343, -15327, -15297, -15247, -15171, -15063, -14917?\nAnswer: -14727","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: -1 - (-1 - 5) - (11 + -9)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -1194*b**2 - 901?\nAnswer: -2388*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -5 - 652\/(-140) - 13\/(-91).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(n) = -n**2 + 8*n - 10. Let u be f(7). Let m be 11 + ((-96)\/80)\/(4\/30). What is the nearest to -2\/15 in u, m, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many micrograms are there in 46\/5 of a milligram?\nAnswer: 9200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -4*b - 32 + 36, f + b = -10 for f.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let c(i) = i**2 - i - 1. Let b(m) = -10*m**2 + 27*m**2 - m - 6 - 13*m**2. Give b(d) - 6*c(d).\nAnswer: -2*d**2 + 5*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let g(l) = 3 + l**3 + l**2 + 6*l**2 - 1 - 6*l - 2*l**3. Let u be g(6). Let b(z) = -2*z**2 - 2*z**2 - z + 5*z**u - 2*z**2 - 2. Calculate b(-2).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 2270957?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 4023520 and 4526460?\nAnswer: 36211680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -4 + -2. Let s be (-64)\/5 + t\/30. Let x(w) = 2*w + 2. Find the common denominator of -35\/9 and x(s).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -1\/1594 - 22273\/68542. Is 1 < h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from wwrrwwcwwkwwwwcwcwnk. Give prob of picking 1 r and 2 w.\nAnswer: 11\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-32)\/(-6)*6\/4. Let f(w) = -3 + p + 4 - w. Does 9 divide f(0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 10\/(-4)*160\/320.\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 13897560 a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"}
{"text":"Question: Is 370769 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-3 + 2 + 3)*(-326 + c**2 + 764 - 369) to the form p*c + m*c**2 + t and give t.\nAnswer: 138","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 7*(-12)\/(-210) + 42782648\/5. Suppose 4*b + 47356530 = r. What is b rounded to the nearest one million?\nAnswer: -10000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Do -10539390\/59 and -178635 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -17*k = -8*k - 63. Calculate the lowest common multiple of k and 101.\nAnswer: 707","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -2 + 4. Suppose 373*o - 802*o = -12012. Calculate the least common multiple of o and 2\/(-4) - (-23)\/w.\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 35\/(-28)*4*(4\/285)\/(256\/576)?\nAnswer: -3\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (16 + 75 + 32 + 6)*(14*k - 8*k - 2*k) to the form u*k + l and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of -46, -44, -42, -40, -38, -36?\n\"Answer: 2*b - 48","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -1617.02 - -1617. Sort -0.038, u, 3, 1\/2.\nAnswer: -0.038, u, 1\/2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 30*n + 34*n - 25*n + 32*n to the form m*n + h and give m.\nAnswer: 71","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 97286 to the power of 1\/3, to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -3\/2, -1\/236, -1\/3?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Factor v**2\/5 + 227*v\/5 - 12166.\nAnswer: (v - 158)*(v + 385)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((((d\/d**(-13\/4)*d)\/d)\/d*d**(-2\/9))**(13\/4))**7)**(-44) assuming d is positive.\nAnswer: d**(-109109\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((3 - 3 - 3*g)*(-4*g**2 - 23*g + 23*g) + 1 - 2*g**3 + 3*g**3 + 0)*(-g + 0*g + 4*g).\nAnswer: 39*g**4 + 3*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let a(k) = -5*k**2 - 6*k - 23. Let w(s) = 13*s**2 + 16*s + 65. Let z(g) = 8*a(g) + 3*w(g). Let r(l) = -15*l**2. What is z(r(h))?\nAnswer: -225*h**4 + 11","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ddq when three letters picked without replacement from {d: 4, q: 4, k: 8, b: 4}.\nAnswer: 2\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve w + 10 = -5*t, w - 147*t + 327*t - 2 = 181*t for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4*n**2 - 63*n**3 + 63*n**3 - 4*n**4.\nAnswer: -4*n**2*(n - 1)*(n + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 243259*d**2 - 147989?\nAnswer: 486518*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 39019 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of -81, -77, -71, -63?\n\"Answer: d**2 + d - 83","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Express (-1 + 112 + 23)*(3*l - 2*l - 8*l) + 3*l - 4*l - 7*l as r + g*l and give g.\nAnswer: -946","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of -96356, -96341, -96300, -96221, -96092?\n\"Answer: 2*k**3 + k**2 - 2*k - 96357","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*h + 5 = 0, 0 = 4*d + h - 6 - 11. Suppose -d*m = -2*g + 8, -m - 28 = -5*g + 1. Let t = 9 - g. Solve 3*v = -5*w + 17 - 4, -t*w = 4*v + 1 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 5, -4, -68, -3, -61, 54 in increasing order.\nAnswer: -68, -61, -4, -3, 5, 54","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of -46, -182, -406, -718?\n\"Answer: -44*r**2 - 4*r + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let r(f) = -19 + 51 - 30 + 65*f - 5*f**2. Let o be r(13). Solve -o*m + 12 = 2 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(p) = -p**3 + 2*p**2 + p + 2. Calculate r(2).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.099?  (a) 0.3  (b) -2\/5  (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (m**(4\/5)*m*m**(22\/3))\/(m*m**(-5\/2))**(41\/3) assuming m is positive.\nAnswer: m**(889\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Work out -88.1 * -48724.\nAnswer: 4292584.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 240?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 3\/(0\/4 + 1). What is the third derivative of 0*l**3 + 4*l - q*l + 19*l**4 - l**3 - 70*l**2 - 13*l**4 wrt l?\nAnswer: 144*l - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1393304.\nAnswer: 2, 11, 71, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve c + 4*g = 10 + 10, 33*g - 32*g - 5 = 5*c - 2*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 1071 a multiple of 51?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let q(l) = -10*l + 4. Suppose 3*w = 5*p + 13, -5*w - 3*p - 2 = -1. Let i(u) = u. Let k(g) = w*q(g) + 12*i(g). Determine k(-5).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of -131590906, -131590908, -131590910, -131590912?\n\"Answer: -2*k - 131590904","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose i = -1, -4*j + 4491 + 239 = 2*i. Suppose 4*y - 3*o + 4*o = j, -4*o - 614 = -2*y. What are the prime factors of y?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 + 2*c + 1)*(-2*c - 2*c + 6*c) - 4*c**2 + c**2 - 15*c**2 + 3*c**2 - 4*c**2 + 3*c**2 + 2*c**2 - 2*c + 2*c - c**2 - 4 + 4 + (0*c + c + c)*(-2 + 2 + c).\nAnswer: -9*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 130037069533 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let a(g) = g**2 + 86526*g - 519202. Determine a(6).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -54388*a**3 + 183115*a**3 - 291273*a**3 - 318952*a**3.\nAnswer: -481498*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -15 - (-5 - 6 - -4).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Does 304 divide 3551065?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:55 PM and 2:08 AM?\nAnswer: 373","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -3  (b) 0.2  (c) -0.05  (d) -5  (e) 262\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*o - 37*i - 495 = -32*i, 5*i = -5*o + 1325. What is the highest common factor of 5 and o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 0 - 3. Let t = -0.075 + 0.323. Let d = t - 0.048. Put i, d, 7 in decreasing order.\nAnswer: 7, d, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: 22 (base 14) to base 6\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 16a5693 + 6?\nAnswer: 16a5699","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: (-1)\/(8 - (-184)\/(-16))\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 133 a factor of 71554?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there in 32\/7 of a week?\nAnswer: 46080","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*s**2\/7 - 2286556*s\/7 + 653542292642\/7.\nAnswer: 2*(s - 571639)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Does 79 divide 5858008?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*j + 98 = 102. Let a be 1\/(-1 + j) - 91\/(-21). Solve 28 = -3*k - a*k for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*z**4 - 2 + 2)*((0 - 5 + 2)*(0 - 4 + 2) + (-2 + 1 + 0)*(-2 - 1 + 2)).\nAnswer: -14*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((h**(-1)*h)**(2\/15))**(2\/37))**(-4\/13))**49 assuming h is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Factor -a**2\/2 + 33*a.\nAnswer: -a*(a - 66)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -2\/5?  (a) -1  (b) 0.11  (c) -3\/2  (d) -1\/6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1069828 is divided by 773.\nAnswer: 769","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-72)\/88 - -5 - 4?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 5652067 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is -9426 divided by -3142?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let q(h) = -3*h**3 + 53*h**2 - 122*h + 35. Let s be q(14). Calculate the highest common factor of s and 6141.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (-1)\/(2 - 5\/2). Suppose -a = -k + 6. Let h be k\/2*1\/2. Solve 0 - h = m + 2*y, -5*m = y + 10 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 15 divide 850?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 0.5  (b) -0.27  (c) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 1 - 1. Let l = t - -4. Let m = -1.03 - -0.03. What is the biggest value in -5\/3, m, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*l - 9*l + 53438. List the prime factors of l.\nAnswer: 2, 7, 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -39.013 - -39. Let i = -0.013 - g. Which is the fourth smallest value?  (a) -1  (b) -4  (c) i  (d) 2\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 4020 (base 9) to base 2\nAnswer: 101101110110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Round 4838000 to the nearest one million.\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-2)\/(-9) + 136\/36. Suppose -4 = -6*r + g*r. Let n be (-18)\/6 + 20\/2. Solve 5*w = p - n, 0 = -2*p - 0*p + r*w + 6 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (d**2 - 4*d**2 + 2*d**2)*(1 + 1 + 1) - 3 - 3*d**2 + 3 + (-d**2 + d**2 + d**2)*(-1 - 1 + 4).\nAnswer: -4*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((1 + 1 - 1)*(3*u - u - 4*u) + (-13 + 13 - 3*u)*(-3 - 1 + 1))*(9*u**2 - 4*u**2 + u**2 + (0 + 2*u + 0)*(4 + 2*u - 4)).\nAnswer: 70*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve j - 2*x = -6 + 1, -2*j = x - 10 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -67625*q**2 + 135242*q**2 - 67615*q**2.\nAnswer: 2*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 745858 is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -2*d*j*l - d*j*o - 5*d*l*o - 3*j*l*o - l - 3*o wrt j?\nAnswer: -2*d*l - d*o - 3*l*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 9209086 is divided by 1841811?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 211 and 100.\nAnswer: 21100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let q(k) = -17*k - 13. Let l(x) = -4*x - 3. Calculate -9*l(w) + 2*q(w).\nAnswer: 2*w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 18534137 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((p*p**(2\/7))**(-1\/23))**(-47)*((p**(2\/3))**(-32))**12 assuming p is positive.\nAnswer: p**(-40793\/161)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 3*3\/(-18)*20. Let o be (-2)\/c + 6\/(-5). Is o smaller than -1\/89?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 15 + 2094.68.\nAnswer: 2109.68","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 45 - 35. What is the lowest common multiple of 6 and f?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -97449*q**2 - 23 + 46 - 23.\nAnswer: -97449*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 39544*b**3*k**2 - 200*b**3 + 827*b - 15*k**3 + 1 wrt k.\nAnswer: 79088*b**3*k - 45*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 29619579 a multiple of 132?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let k be ((-8)\/(-6))\/((-4)\/6). Find the common denominator of 117\/20 and ((-6)\/(-8))\/(k\/17).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 m when three letters picked without replacement from mmmmmmm?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 17*n - 10 = 12*n. Let b(l) = 3*l. Calculate b(n).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 528421?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-30 - (-200)\/48) + 13 + 4\/((-24)\/(-5))?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -1399.06 + 1182. Let j = 217 + q. Is 3 < j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Total of 941.745597 and 5.222.\nAnswer: 946.967597","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 9500 - 5154. List the prime factors of x.\nAnswer: 2, 41, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.9456 + 0.3.\nAnswer: 1.2456","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(175) + -2*sqrt(175)*2 + sqrt(175) + sqrt(175) - sqrt(175))**2 - sqrt(175))*3.\nAnswer: -15*sqrt(7) + 2100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (t**(-1\/13))**17 assuming t is positive.\nAnswer: t**(-17\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: (((-280575)\/(-6020))\/435)\/((-9)\/(-2))\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -1664489*n*q**3 + 215*n*q**2 - 92*n - 11*q**2 wrt q.\nAnswer: -9986934*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between -1878605 and -0.5?\nAnswer: 1878604.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -137 - -76. Let v = l - -6. Let u = 55.0049 + v. Round u to three dps.\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 80*i - 84*i = -5520. What is the units digit of i?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 10162 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -1*6*(-20)\/(-20).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 155 + -148. Let v be (u - 75\/10)\/((-2)\/(-32)). Let m(q) = -3. Let o(a) = a - 8. Calculate v*m(l) + 3*o(l).\nAnswer: 3*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -18 + 24. Let b = -0.17314915 + 6.17315465. Let p = b - s. Round p to six decimal places.\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -21?  (a) -0.4  (b) 0.5  (c) 4\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((m*m**2)**13)**(-46) assuming m is positive.\nAnswer: m**(-1794)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 5 a factor of 138580?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -15199 - -106395\/7. Put 3, 992, m in descending order.\nAnswer: 992, 3, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose y - 93 = -4*z + 2, -2*z + 25 = 5*y. Solve 0 = 7*v - 3*v - l - z, v - 2*l - 15 = 0 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-5)\/(-4))\/((2754\/(-68))\/27)?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let t(g) be the second derivative of 0*g**2 + 1\/4*g**4 + 0*g**3 + 0 - g. Let z(s) be the second derivative of -s**4\/6 - s. What is t(z(i))?\nAnswer: 12*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (n**7\/n)\/n**(-1\/5)*n**(-1\/4)\/n**3 assuming n is positive.\nAnswer: n**(59\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 11, 30, 49, 68, 87, 106?\nAnswer: 125","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 r when three letters picked without replacement from rrlrf.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 72\/5 of a microgram in nanograms?\nAnswer: 14400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let a(x) = x**3 - 7*x**2 - 38*x + 7. Let i be a(10). Let z = -57 - i. Suppose 36 = 5*c - 4. What is the smallest common multiple of z and c?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1068 to the power of 1\/2, to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let t(l) = 29 + 9 - 800*l + 799*l + 3 - 2. Determine t(6).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -5, -3.33, -0.5, 1117\/2?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let f(z) = -42 + 57 - z + 4*z. Let i(k) = -1. Calculate -f(v) - 15*i(v).\nAnswer: -3*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let w(a) be the third derivative of a**9\/252 - a**5\/20 - 5*a**2. Find the third derivative of w(u) wrt u.\nAnswer: 240*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*p - o - 11 = -3*p, -5*o = 20. Let g(f) = f**2 + 2*f**2 + 8*f**2 - 10*f**2 + 433*f - 5 - 219*f - 221*f. Determine g(p).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 4185\/17 - 25603847\/104006. Let f = -65782\/82593 - k. Find the common denominator of 115\/42 and f.\nAnswer: 378","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (3*4\/(-18))\/(11\/((-1155)\/(-10)))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 6 + 4. Suppose a - 2*o = q, 22 + 0 = 3*a - 4*o. Suppose a*k = -3*k + 70. What is the remainder when k is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 6 and 47348?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let t(y) = -y**2 + 15*y + 101. Let i be t(-5). Let q(h) = 35*h**3 + h**2 - 2*h + 1. What is the smallest common multiple of q(i) and 20?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 7 + 5 - 9 - 5*v - 6*v + 5 as c*v + a and give a.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence mtt when three letters picked without replacement from {v: 2, m: 3, t: 9, y: 1, q: 2}.\nAnswer: 9\/170","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let c(o) = o**2 - 4*o + 1. Let r be c(4). Let t be (r - 0)\/4 - 0. Suppose -25*g = -5*g + 8*g. Sort g, -3\/8, t.\nAnswer: -3\/8, g, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor g**3 + 271*g**2 - 826*g - 1096.\nAnswer: (g - 4)*(g + 1)*(g + 274)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve 99*d - 1242 = 28*d + 2*d for d.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-135)\/(-8) - -9 - 9. Let d = 105231109\/88 + -1195791. Let z = l - d. What is the nearest to 0 in z, -5\/6, -6?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 1*-3*2\/(-6). Let y = 1 + v. Solve 0*i - y*i - 4 = 0 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -141 - -141.0354. Let j = 4.9646 + o. Let u = 0.3 + -0.5. Which is the nearest to -0.1?  (a) -3  (b) j  (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 57 is divided by 50.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 6077501 to the power of 1\/2, to the nearest integer?\nAnswer: 2465","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let t(k) = -k**2 - 6*k - 1. Let z be t(5). Let l = -33 - z. Is 3 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (521 - 351 + 313)*(-244 - 51*q + 244).\nAnswer: -24633*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -21 - -110120?\nAnswer: 110022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 616 minutes after 3:48 PM?\nAnswer: 2:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.1313603 times 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 2122, 2152, 2180, 2206, 2230, 2252?\nAnswer: 2272","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 1175225 and 175.\nAnswer: 8226575","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-6)\/3*(-4 - 27\/(-6)). Let v = -0.05 + -0.05. What is the closest to q in -3, -2, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(i) = -i - 3 + 2*i + 8. Let d = 19 - 19. Determine h(d).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 5804 + -5809. What is the fourth smallest value in 4\/3, -1\/2, 5, y?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((n**(2\/5))**(18\/11))**(5\/8) assuming n is positive.\nAnswer: n**(9\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 332366 and 358?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -2*r + 10*r**2 - 8*r**2 - 426*r**3 + 389*r**3 to f*r**2 + w*r**3 + x + g*r and give w.\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Put -1, 11, -5, -115 in decreasing order.\nAnswer: 11, -1, -5, -115","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Put 1\/4, -130, 272\/5, -3\/2, 57 in increasing order.\nAnswer: -130, -3\/2, 1\/4, 272\/5, 57","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*j = -i + 119, 5*i + 6*j = 2*j + 614. Let m = 182 - i. Calculate the greatest common divisor of 80 and m.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:34 PM and 10:43 AM?\nAnswer: 669","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is -200 not equal to -200?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Convert 2 (base 8) to base 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (4032\/(-20))\/(4\/(-20)) - 0. Suppose -7*d + 0*d = -m. What is the highest common divisor of d and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1 divided by 15.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((l*l**0\/l)**48)**34 assuming l is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 207929 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 0.51 + -0.74. What is q rounded to the nearest integer?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -161 + 552. Let v = z + -396. What is the smallest value in v, 7, 6?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 12275196 and 72?\nAnswer: 73651176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: ((-1)\/(3\/(-12)))\/((-17)\/17*31)\nAnswer: -4\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Work out -23 * 29.\nAnswer: -667","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 6646 and 30512?\nAnswer: 202782752","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -181 - -b92?\nAnswer: a11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -4, -130, -256, -382, -508, -634?\nAnswer: -760","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Divide -552 by 69.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 2919896?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-c + 2*c**4 + c)*(-c + 0*c + 3*c + 4 + (-2 - 2 + 5)*(-5*c + 7 - 7) - 3 + 3 - 4*c).\nAnswer: -14*c**5 + 8*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 17 a factor of (15 - -4)*1\/1?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(76)*2*-1 - -4*-2*sqrt(76))\/(-1*1*sqrt(196)*-3).\nAnswer: -10*sqrt(19)\/21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let u(v) be the first derivative of -38273*v**3\/3 + 11*v**2\/2 + 14*v - 95. Let i be u(9). What is i rounded to the nearest one million?\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {p: 1, z: 1, g: 1, s: 1, w: 1}. Give prob of picking 1 p and 1 g.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -11 - -15. Let f = -168 - -166. Let k be f - 1\/g*-7. Put -0.3, k, 0.2 in ascending order.\nAnswer: -0.3, k, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -597 + 784. Calculate the remainder when b is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 145*s - 806*s**2 + 25*s + 431*s - 20*s - 60*s wrt s.\nAnswer: -1612","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 73.13 to the nearest 10.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 163872 and 40.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -10041732*-0.06.\nAnswer: 602503.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let u(t) = t**3 - 24*t**2 - 20*t + 48. Let c be u(25). Suppose -c = -3*a + 799. Calculate the greatest common divisor of a and 36.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0000231 rounded to 6 dps?\nAnswer: -0.000023","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Put 77, -2, -1\/5 in ascending order.\nAnswer: -2, -1\/5, 77","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {x: 4, w: 2, m: 1}. What is prob of sequence ww?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let i(f) = f**3 + 13*f**2 - 5*f - 2. What is the remainder when i(-13) is divided by (26\/3)\/(4\/6)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(p) = 127*p**2 - p - 1. Let o be d(2). Let h = -427 + o. Calculate the remainder when h is divided by 28.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {r: 3, f: 3, a: 2, m: 1, z: 3, l: 1}. What is prob of sequence flm?\nAnswer: 1\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 3805327 divided by -23?\nAnswer: -165449","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*j - t - 20 = -0*j, 2*t = 10. Suppose 0 = -4*s + 3 + j. Let y(g) = -g + 7. Let b be y(5). Solve -s*v + 6*v = b*h - 12, 5*h - 3*v - 23 = 0 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 421 minutes after 9:57 PM?\nAnswer: 4:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -325 + 619. Which is smaller: y or 296?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 0, 2.15782, -0.5 in descending order.\nAnswer: 2.15782, 0, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Put 3, -1, -5, -61 in descending order.\nAnswer: 3, -1, -5, -61","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*j + j = -4. Factor 3*g**2 - 9*g - 3*g**j - 2*g + 17*g - 6*g**3.\nAnswer: -3*g*(g - 1)*(g + 1)*(g + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(u) be the second derivative of u**4\/60 + 2*u**3\/3 + 7996*u. Factor t(b).\nAnswer: b*(b + 20)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (-2*t**2 + 2*t**2 - 3*t**2)*(t**2 + 5*t**2 - t**2) - 129*t - 251*t**4 + 129*t in the form r*t**3 + p + b*t**4 + h*t**2 + d*t and give b.\nAnswer: -266","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 163 + -162.99. Let d = 0.15 + y. What is the biggest value in -1\/11, -3, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: -368965*-0.3\nAnswer: 110689.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let x(l) = 10*l**2 - l. Let s be x(1). Suppose -f + 6 = -s. Let t be 2314\/22 + (-2)\/11. Calculate the greatest common divisor of t and f.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {d: 4, m: 1, o: 1, s: 4}. What is prob of sequence dd?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of 63669841, 127339680, 191009519?\n\"Answer: 63669839*l + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Express 148154 - 30*g**2 - 148154 + 16*g in the form m*g**2 + h*g + s and give m.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 4177 is divided by 1199?\nAnswer: 580","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1, 5, -5, 77, 4, 383 in decreasing order.\nAnswer: 383, 77, 5, 4, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(1300) + sqrt(13) - (3 + sqrt(117)))**2.\nAnswer: -48*sqrt(13) + 841","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -6 - 15 = 7*a for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 9205?\nAnswer: 5, 7, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -117 + 189. Calculate the greatest common divisor of 18 and h.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1 less than 196244468?\nAnswer: 196244467","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -31*u = 18*u - 147. Suppose 5*h - 3*s = 79, 3*h - 73 = -2*h + s. Calculate the greatest common divisor of h and u.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 107\/198 and -121\/432?\nAnswer: 4752","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let o(j) = 412*j**2 - 52735*j - 271. Determine o(128).\nAnswer: -143","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -14 - -13.99999998. Round f to seven dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 7578 - 7236. Calculate the highest common divisor of 72 and q.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be ((-10)\/(-4) + (-660)\/240)*-5. Let j = 1 + -1.1. Which is the nearest to j?  (a) 1  (b) w  (c) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be ((-3 + 20\/8)*-1)\/(-1). Let b = -1.8 - -2. What is the nearest to 0 in b, g, 2?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 + 2 + 0)*(5*a + 4*a - 3*a + (-1 + 2 + 1)*(2*a + 0 + 0) - 4*a + 3*a + 6*a).\nAnswer: 15*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let r(n) = 6 + 41*n - 22*n - 22*n. Let a be r(3). What is the least common multiple of 6 and (1 - a) + 45 + -7?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (d**22\/((d**24\/d)\/d))\/(d**(3\/16)*d\/((d**(2\/97)\/d)\/d)*d) assuming d is positive.\nAnswer: d**(-6467\/1552)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (22 - 22) + (2 + -4 - -9)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*p + l + 4 = -63, 2*p - 2*l = 42. Suppose 4*k - 163 = -p. What is the greatest common factor of 14 and k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5*sqrt(21)\/(-5*sqrt(147)) - (sqrt(35)\/((sqrt(210)\/sqrt(7))\/sqrt(6) + sqrt(5)) + 4).\nAnswer: -4 - 9*sqrt(7)\/14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 1a4a + 1?\nAnswer: 1a4b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is -28*(16\/(320\/12))\/((-5)\/(50\/(-6)))?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 81 is divided by 77.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -168871*s**3 + 3*s**2 - 40*s + 83 wrt s.\nAnswer: -1013226","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -28*a + 86*a + 28*a + 1 to l + d*a and give d.\nAnswer: 86","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Factor 7 - 18*u**2 + 21*u + 0 - 10.\nAnswer: -3*(u - 1)*(6*u - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(n) = n - 10. Let c be m(5). Sort 4, 3, c, -2 in decreasing order.\nAnswer: 4, 3, -2, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 3604 and 24327.\nAnswer: 97308","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*l = w - 3*w - 186, -39 = -l + w. What is the highest common divisor of l and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 3942 is divided by 1248?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let a(n) = 4*n**3 + 2*n**2 + 2*n + 8. Let s(o) = 6*o**3 + 3*o**2 + 3*o + 11. Let f(u) = 7*a(u) - 5*s(u). Give f(2).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 151 a factor of 1496858?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 584 is divided by 65.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 582, 578, 572, 564, 554, 542, 528?\nAnswer: 512","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let r(b) = 4*b - 8. What is the tens digit of r(11)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 32, 73, 152, 281, 472?\nAnswer: 737","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let h(n) = n**3 - 8*n**2 + 8*n - 4. Let s be h(7). Let p(a) be the second derivative of -1\/20*a**5 + 1\/4*a**4 + 17*a + 3\/2*a**2 + 0 + 1\/6*a**3. Give p(s).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 11 + -14. What is the second smallest value in f, -0.1, -0.8?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:44 PM and 8:19 PM?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 59346993?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 77 a factor of 86044?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 149998319 + -74830940. Let t = y - 75167373.99999761. Let s = t - 5. What is s rounded to 7 decimal places?\nAnswer: 0.0000024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*i = -5*i + 270. Calculate the remainder when i is divided by 14.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 29 + -24. What is the biggest value in 0.09, h, -0.4?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 12 and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 123101 a multiple of 184?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -0.169 and -4.\nAnswer: 0.676","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve 219*s - 13233 = -163*s + 43*s - 62*s for s.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let n(q) = -q**2 - 6*q - 10. Suppose 31 + 5 = 2*m. Suppose -5*x - t = m, -4*t = -4*x - 8 - 16. Let z be n(x). Which is smaller: z or -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 8924 and 16?\nAnswer: 35696","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4*(sqrt(52))**2*-2.\nAnswer: -416","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from nbznbu. Give prob of sequence uz.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 15 times 155?\nAnswer: 2325","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3 - 48*i + 47*i + 3.\nAnswer: -i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*h - 8*h + 20. Let g(v) = 7*v - 1. Let i be g(1). Let d = i - h. List the prime factors of d.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 s when two letters picked without replacement from sssrnsrns.\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 5691 and 1752429?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -4, -25, 0.3, 2\/19?\nAnswer: -25","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-6 + 10 - 0)*(-3)\/4.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 8748 - 8747.999997865. What is c rounded to seven decimal places?\nAnswer: 0.0000021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 128 - 127.47. Let n = 0.07 + q. Let c = -0.4 + n. Which is smaller: c or -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -24 - 6650\/(-616) - -14 - (-2)\/(-8)?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(j) = j - 3. Let x be v(-5). What is the nearest to 0.2 in 2\/13, 0, x?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 136921 and 509?\nAnswer: 509","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 0.1 - -0.9. Which is the nearest to -11?  (a) 5  (b) o  (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify l*((l\/l**(-12))\/l*l)\/l*l\/l**(-2\/19)*l*(l\/l**(-2\/7))**(-3) assuming l is positive.\nAnswer: l**(1496\/133)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*m = -7*s + 3*s, 0 = 3*m - 2*s - 20. Suppose -m + 2 = -2*t. Is 1\/4 < t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -16*y = -14*y - 962. Suppose 6*j + 101 = -y. What is the tens digit of j\/(-5 + 4) + 6\/2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:38 PM and 9:24 AM?\nAnswer: 646","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 20 - 13. Let m = a + -5. Suppose 872807 = m*f - 627193. What is f rounded to the nearest 100000?\nAnswer: 800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 774787384 to the power of 1\/6, to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 51.8 - 58. Let t = j - -6.1. Which is the closest to 1\/2?  (a) 1\/4  (b) -3  (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 3*o - 8 + 8 + (3 - 2 + 0)*(0 + 0 + o) + 1 - o - 1.\nAnswer: 3*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2 + (3*(-1 + sqrt(252)) + (sqrt(252) - (sqrt(252) - (sqrt(252) - (sqrt(252) + sqrt(252) + 1 + -3)))) + 1)**2)*6.\nAnswer: 6060","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -2*j**3*v + 75*j**3 + 1295*j + 213656*v**2 wrt v.\nAnswer: -2*j**3 + 427312*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 15773 - 15773 - 45*h**3.\nAnswer: -45*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {s: 6, b: 3, t: 1, r: 1, y: 2}. Give prob of picking 1 b, 1 y, and 1 s.\nAnswer: 18\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 16.842 + -17. Let m = 0.16148 + q. What is m rounded to four dps?\nAnswer: 0.0035","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -20004 (base 5) in base 11?\nAnswer: -a40","meta":{"dup_signals":{},"source":"numbers__base_conversion_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: Calculate prob of sequence eeq when three letters picked without replacement from {q: 12, e: 6}.\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 14 - 215?\nAnswer: -201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 1 - -2. Suppose 0 = 2*h - 7 - c. Suppose 5*s = -5*y - 10, 6*y - 24 = 4*y + h*s. Solve 2*g = -y*r - 3 - 5, -2*g + 2*r = -12 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of ((-116)\/(-8) + -16)\/(6\/(-80)) and 4352.\nAnswer: 21760","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 3*b**4 - 4*b**4 + 2*b**4 + (-2*b + 6*b - 5*b)*(-2*b**3 - 4*b + 4*b) - 2*b**3 + 2*b**3 + b**4 + 2*b**4 + 33*b - 33*b + 5*b**4 - 4 + 4.\nAnswer: 11*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -7.15 + 31.1. Let k = -1.274 + 26.274. Let n = k - o. What is n rounded to 1 dp?\nAnswer: 1.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 9060048007 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -6?  (a) 131249  (b) 1  (c) -2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: -a82762 (base 14) to base 13\nAnswer: -1244069","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -9, -5, 0.4, -1\/5, 0.259862?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Does 3 divide 1268?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -104 divided by -8.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 39.9 - 38. Let w = u + -1.64. Let s = w - -0.2. Round s to 1 dp.\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -2 - ((-18 - -3) + 16)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.08?  (a) -2.3  (b) -5  (c) -0.2  (d) 3  (e) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Product of 0.3508 and 156.\nAnswer: 54.7248","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence yo when two letters picked without replacement from tozoyztoyo?\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of -370, -743, -1116?\n\"Answer: -373*h + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -1.78 and 0.8?\nAnswer: -1.424","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3742*q + 71709 = -194298 - 84519 - 27416 for q.\nAnswer: -101","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (k - 1 + 3 - 5*k)*(3*k - k - k)*(-2 + 2*k + 2).\nAnswer: -8*k**3 + 4*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 708406730?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2112*l + 63114 = 210954 for l.\nAnswer: 70","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 3*q, 4 = 5*s - 4*q - 1 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(171)\/(sqrt(36)\/sqrt(36)).\nAnswer: 3*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3 - 2 + 6 - 37*z + 7*z.\nAnswer: -30*z + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) -3.76  (b) 8  (c) -1\/5  (d) 2\/5  (e) -27\/4  (f) -2\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 45179064 and 81?\nAnswer: 406611576","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(2448) + 0 + sqrt(2448) + (1 + sqrt(17))*-2.\nAnswer: -2 + 22*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 72\/(-39) + 1*-3 - 4\/26. Let m(w) = 2*w - 2. Let k(a) = 4*a - 19. Let j(n) = -2*n + 9. Let c(g) = -13*j(g) - 6*k(g). Calculate r*c(d) + 6*m(d).\nAnswer: 2*d + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 371 and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (3 + -5)\/(-2)*4. Solve -f*v - 2*k + 14 = k, 5*v = 5*k + 35 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 5 * -15016.\nAnswer: -75080","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 278*t**3 - 204*t**3 - 67*t**3.\nAnswer: 7*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of -306, -632, -948, -1248, -1526, -1776?\n\"Answer: y**3 - y**2 - 330*y + 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*l - 3 = 1. Let t be l*(-6 + (-6)\/3). Let b(y) = -y + 12. Let q be b(t). Solve -z + 5*z = -q*i + 8, 5*z = -i + 14 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is one tenth of a meter in centimeters?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((j*j\/j**5)**(9\/8))**(-7)\/((j**1)**21*(j*j**7)\/(j\/(j\/j**(1\/13)))) assuming j is positive.\nAnswer: j**(-551\/104)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -44*p + 39*p = 2*c + 27, 2*p = 3*c - 7. Let d = 0.02 + -1.02. What is the closest to c in 5, d, -5?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -188, -5, 5930\/11?\nAnswer: -188","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 1.51 - 1.61. Which is the third smallest value?  (a) z  (b) -1\/4  (c) 0.3  (d) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 755818488.\nAnswer: 2, 3, 3229, 3251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -3.8 - -4.2. What is the smallest value in -10, s, -1?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 25 and 200.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*n = 4*m + 12, 236*n = -2*m + 241*n - 12 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: -101000110001010101101 (base 2) to base 10\nAnswer: -1335981","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let z(j) = 4*j**2 + 5*j + 1. Let f be -3 + (2 - 9\/3). Let y be z(f). What is the units digit of (2\/3)\/(10\/y)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is thirteen quarters of a kilogram in grams?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: -10 (base 7) to base 16\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let h be -1 - (-2 + 3)*-1. Let g = 2 + h. Suppose -g*u = 6, 8*w - 4*w - 20 = 4*u. Solve 0 = 2*n - 0*n - 3*b - 21, -w*n - b = -1 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (q**(1\/7)\/q*q\/q**0)**(-31)*(q*q**(-2\/5))\/q**(-1)*(q**(2\/7))**38 assuming q is positive.\nAnswer: q**(281\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Convert -7c8332 (base 16) to base 7.\nAnswer: -126234143","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 9121218.0000044 + -9121234. Let g = w - -16. Round g to 6 dps.\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (d**(-4\/5))**16*d**(-2)*d\/(d\/d**(-15)) assuming d is positive.\nAnswer: d**(-149\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 45 a factor of 11061?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let l(v) = -v + 7. Let b be l(5). Let z be (-1)\/(b - (-9)\/(-4)). Suppose -2*j + 0*g = 5*g - 10, -8 = -z*g. Let s(f) = f**3 - f**2 + f + 5. Calculate s(j).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 702 minutes before 2:45 PM?\nAnswer: 3:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 7\/50 and -44\/35.\nAnswer: 350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of (21 + (-340)\/17)*18146?\nAnswer: 2, 43, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from hpxppfnpnnpnnp. Give prob of sequence hnf.\nAnswer: 5\/2184","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 749891 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 135.544516 - 28.105?\nAnswer: 107.439516","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -126d + 124a2d?\nAnswer: 1237a0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: -4 * 339\nAnswer: -1356","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 19 divided by -21846?\nAnswer: -19\/21846","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Work out -3 * -1.2.\nAnswer: 3.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 4069085 is divided by 581296?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (l*l*l*l**21\/l*l*l*l*l*l**(-2\/27))\/((l*l**19*l)\/(l*l\/(l\/l**4))) assuming l is positive.\nAnswer: l**(295\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 535 minutes before 2:04 AM?\nAnswer: 5:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 140732859 is divided by 4531?\nAnswer: 4530","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 5 + 4. Suppose 2*y = 13 + b. Is y a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 170924 and 52.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*m**5 + 13280*m**4 + 106056*m**3 + 238528*m**2 + 211988*m + 66240 = 0. Calculate m.\nAnswer: -3312, -5, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -11 - -93?\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (2 + 1)\/(3\/2). Let g be (2 + -4)*((-25)\/10 - -1). Let d be (-1715)\/(-147) + 1\/g. Solve -17 = -3*n + s*h, -4*n + d = 3*h - 5 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1 + 5*(2*(2 + sqrt(68)) + -1 - (1 + -4*sqrt(68) + -3))**2.\nAnswer: 600*sqrt(17) + 12366","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:41 PM and 6:24 PM?\nAnswer: 283","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -75\/20384 and 51\/245.\nAnswer: 101920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let c(s) = 5*s**3 - s**2 + 2*s - 3. Suppose 8*j = 2*l + 5*j - 23, -3 = -3*j. Calculate the remainder when c(2) is divided by l.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4 = -o - 0. Suppose -o*f = 4*v + 2280004, -2*v - v = -2*f - 1139997. What is f rounded to the nearest 100000?\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1175\/66 smaller than 18?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let l(b) = 2*b**2 - 2*b - 8. Let z be l(-2). Suppose -6*g + g = -s - 18, s + 13 = z*g. What are the prime factors of (-1)\/(-7) - (-195)\/s?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1\/4 in 2, 1\/3, 1.2, -4?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let h(d) = -612*d**2. Let l(i) = 120*i + 129*i - 248*i. Calculate l(h(s)).\nAnswer: -612*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 696  (b) -1  (c) -1973  (d) 4\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 5\/(-2657)*4\/(-70). Let b = 129947601319427839\/223188 - 582233817758. Let r = y - b. Find the common denominator of 5\/16 and r.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 962258.07 + 0.004.\nAnswer: 962258.074","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 35\/248 and 69\/8.\nAnswer: 248","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let w(v) = v**3 + 17*v**2 + 9*v + 4. Let c be 2\/((-75)\/18 - -4). Let b be w(c). Suppose -5*s - b = -s. Round s to the nearest 10.\nAnswer: -150","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 305\/(-350) + (-30)\/615 + 356\/574.\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -b + 923?\nAnswer: 918","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:04 AM and 1:48 AM?\nAnswer: 104","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (21\/((-189)\/6))\/(23\/3)?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*w + 2*z = 19, 11 = w - 0*w + 4*z. Suppose -i + 5*v = -20 - 10, -5*v = w*i - 190. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -2073*j - 3356*j + 1956*j in the form p + b*j and give b.\nAnswer: -3473","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 2*c*r**3 - 2*c*r + 2*c + 14676*r**5 - 532*r - 4 wrt r?\nAnswer: 12*c*r + 293520*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 8476376.7 + -8476373.70000012. Let j = 8 - 11. Let t = j + k. Round t to 7 decimal places.\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from mmmumummm. What is prob of sequence mum?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -2*c*g**2*t**2 + 2*c*g*t**2 + 28*c*p*t**2 + 2*c - 14*g**2 - 2*p*t + 8*p wrt t.\nAnswer: -4*c*g**2 + 4*c*g + 56*c*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 2240 and 420?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -5*l - 2483906*l**2 + 5*l + 13*l**3 + 2483906*l**2.\nAnswer: 13*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-2 - -3)\/(3\/165). Let l be 2\/(-15) + 1 + 5872\/(-60). Let n = l - -102. What is the highest common factor of n and h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -7*g + 47 - 166 + 51 + 49 + 19.\nAnswer: -7*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-3471)\/(-52) + (-2)\/(-8). Let d(y) = o - 45*y - 26*y - 53. What is the hundreds digit of d(-2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 40 + 0 - (97 - (47 + 35)).\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 194\/(-22) + (34 - 25). Which is the third smallest value?  (a) -1  (b) 0.13  (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*a = -4*h + 3353, 2*a - 1921 = 2*h - 569. List the prime factors of a.\nAnswer: 673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: -21b (base 12) to base 7\nAnswer: -623","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*v - 5*v + 672 = 0. Is 97 not equal to v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 p, 1 b, 1 g, and 1 a when four letters picked without replacement from {a: 3, y: 1, b: 3, p: 4, d: 2, g: 2}.\nAnswer: 24\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let d(z) = 79*z**2 - 70*z + 68. Determine d(1).\nAnswer: 77","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*l + l - 10. Suppose 3*r = -b + 8, -r + 10 = 3*b + b. Let z(d) = 2 - l*d - r. Let a(t) = 3*t. Determine z(a(u)).\nAnswer: -6*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*b + 21 = -v, -331*v + 339*v - 2*b - 12 = 0 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.000142276 to five decimal places.\nAnswer: 0.00014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1985 = 15*y - 1790 for y.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (9\/((-9)\/4))\/(-2).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -285, -1130, -2531, -4482, -6977, -10010, -13575?\nAnswer: -17666","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -132 + 103. Let u = d - -28.99836. Round u to 4 dps.\nAnswer: -0.0016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*f = 6*f + 8*f. Suppose 0*w - w = -3*k - 18, f = -5*w - 3*k + 18. Solve -26*x + 23*x = -w for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence qot when three letters picked without replacement from {q: 1, u: 1, o: 1, t: 2}?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2*((-3*sqrt(78)*2*-4)\/(sqrt(30)\/(sqrt(20)\/sqrt(4)*1)))**2.\nAnswer: -14976","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Product of 0.1 and -20.85401.\nAnswer: -2.085401","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 6190586737\/2200 + -2813903. Find the common denominator of -9\/16 and t.\nAnswer: 4400","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 178*q - 7338 + 10976 = -2592 for q.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 1\/(-4) + ((-20972)\/16)\/(-7) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -g - 5 - 3*g**2 - 1 + 10 - 67*g**2 as z*g**2 + h + o*g and give h.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 444 minutes after 3:17 AM?\nAnswer: 10:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 7\/2 of a year in months?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let z(w) = w - 12 + 5 + 7. Let x(u) = 5*u. Give z(x(k)).\nAnswer: 5*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let t(r) = 4*r**3 - 295*r**2 - 67*r - 509. Calculate t(74).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 0 or -2\/13841?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 1848941 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 4\/(-10) + (-1216)\/(-4940).\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(v) be the second derivative of -v**6\/120 + v**5\/80 + 5*v**4\/24 + v**3\/3 + 1107*v - 2. Factor m(p).\nAnswer: -p*(p - 4)*(p + 1)*(p + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 17290782451 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 514887 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -14471, -14475, -14479, -14483, -14487, -14491?\nAnswer: -14495","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 24650586?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let g(y) = 10*y + 3. Let j be g(7). Suppose 5*n = j + 27. Calculate the remainder when 39 is divided by n.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(d) = -11*d**2 - 1819 + 2*d + 1814 + d**3 + 9*d. Suppose 3*k = 5*k - 20. Let z be t(k). Solve z*b - 28 = -3 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -1 - -31. Suppose -s = -2*s - t. Let d be 2 + (0 - 28 - (51 + -47)). Is s less than d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -4513, -4517, -4531, -4561, -4613, -4693, -4807, -4961?\nAnswer: -5161","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 3  (b) -1.72  (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -85 = -68*q + 51*q for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 0\/(-2)*((-187)\/(-11))\/(-17)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -50153 divided by 60.\nAnswer: -50153\/60","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2 - 15 + 9)*(2 + 4 - 5)*(26*b**2 - 4*b**3 - 26*b**2).\nAnswer: 16*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 d, 1 w, and 1 t when three letters picked without replacement from dthwt.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence kkkm when four letters picked without replacement from kkkkkkkkkkkkkkkkmkk.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1334.\nAnswer: 2, 23, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(13) + (sqrt(1573)*1)**2 + 1)*6.\nAnswer: 6*sqrt(13) + 9444","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 12710 is divided by 1785?\nAnswer: 215","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 11166 - 11358.66. Let l = i - -191. Let t = -1.6781 - l. What is t rounded to 3 dps?\nAnswer: -0.018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 5 - 2. Suppose -6 = -b*h - 0*h. Let d = 25 - h. Is d a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 97 + (-237 - -159) + (0 - -27)?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let l(k) be the second derivative of k**4\/12 - k**3\/2 - 7*k**2\/2 + 3*k. Let z be l(5). Solve -3*u = z*a - 3, 3*a - 3 = -0*u - u for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0 - 4077299\nAnswer: -4077299","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-6)\/(-7)*(-448)\/96. Let z(n) = 0*n + 10645 + 4*n - 10636. Give z(s).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(o) = -9*o**2 - 11*o - 4. Let k(s) = 220*s**2 + 275*s + 99. Give -99*a(q) - 4*k(q).\nAnswer: 11*q**2 - 11*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 80 = 27*r - 7*r. Let o = 450\/7 + -64. Factor 2\/7*b**r - 4\/7*b**3 + 0*b**2 + 4\/7*b - o.\nAnswer: 2*(b - 1)**3*(b + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*u - 12 - 3. Suppose -3*p - 96 = -u*a, -5 + 101 = -3*p + 2*a. Let o be 16\/p*(-7 - 1). Solve -o*b + 2*x = -6*b, 0 = 5*b + x + 16 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 4379 - -0.3\nAnswer: 4379.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of 18, 57, 166, 381, 738?\n\"Answer: 6*b**3 - b**2 + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 64 and 164.\nAnswer: 2624","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 2329 and 9727.\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: ((-44)\/(-10))\/(55275\/(-1482375))\nAnswer: -118","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify y**(4\/15)*y\/(y\/(y*y**(-1\/14))) assuming y is positive.\nAnswer: y**(251\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let t(j) = -j**2 + 7*j + 5. Let m be t(7). Suppose -p + 1 = n, -p = m*n - 6*p - 35. Solve -n*k = 3*o - 7*o + 12, 5*k = -3*o + 1 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*y = -6*y + 8. Suppose 0 = y*u + 2*u - 196. Suppose -5*v - 101 = -g + u, 0 = -3*v + 12. Round g to the nearest one hundred.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -7425 less than -7420?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 24 + 21 + (-27 - -3).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*n = -10*n. Suppose -z - 12 = -4*h - n*h, 4 = h. Suppose v = -v + z. Calculate the greatest common factor of v and 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -678 divided by -1.\nAnswer: 678","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of 3240, 2905, 2570?\n\"Answer: -335*k + 3575","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 403482703?\nAnswer: 13, 31037131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -43, -86, -129?\nAnswer: -172","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 4 - 27. Let z = m - -32. Suppose -3*l + 0 = -z. What is the units digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 8 + -17. Let c = 14 + s. Let x = -4.7 + c. What is the third smallest value in 1\/4, -0.5, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve q - 1292 = -1285, -3*q = p - 24 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let h(r) = 8*r + 5. Let k(g) = 19*g + 12. Let i(u) = -7*h(u) + 3*k(u). What is i(4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 183001002 and 10068.\nAnswer: 5034","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 4\/31 + -1\/248. Let y = 143 - 141. Suppose 3*p = 5*p + 4*d - y, -p + 3*d = 19. Is p equal to m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many micrometers are there in one tenth of a centimeter?\nAnswer: 1000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 41 + 2532300042?\nAnswer: 2532300123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let r(c) = 43*c**2 - 18*c - 2. Let i(g) = 49*g**2 - 19*g - 3. Calculate -3*i(j) + 4*r(j).\nAnswer: 25*j**2 - 15*j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 24281 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Put together -305.67014 and -2.36774.\nAnswer: -308.03788","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 2?  (a) 3\/5  (b) 1.6  (c) -234\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -259*v + 48*v + 53*v + 54*v + 54*v + 946*v**2 + 49*v.\nAnswer: 946*v**2 - v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*q - 31 - 2 = 0. What is the remainder when 30 is divided by q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*r = 4*r - 100. Suppose -3*h + 122 = -r. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 493 minutes after 6:58 PM?\nAnswer: 3:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 0.3 or -1\/16?\nAnswer: -1\/16","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 2 + (5 - (-1 - -3)). Let v = y - 3. Suppose 9*z = 7*z + 4. Is z greater than v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: 269a3 (base 11) to base 15\nAnswer: b5ea","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 1\/(-2)*(-15 - -15). Is m bigger than 1\/13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -176*j + 3156 + 10493 = 263 + 362 for j.\nAnswer: 74","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ppss when four letters picked without replacement from {s: 3, p: 2}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let d(x) = 151*x**2 + 2*x + 3. Let f be d(-2). Let g = 6620\/11 - f. Find the common denominator of g and -73\/4.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 0.009 + 34.991. Let j = p + 28. Let n = -62.946 + j. Round n to two dps.\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 13 + -7 - 2 - (-16 + 18)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -6 + ((-4)\/(-14) - (-12)\/7)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -4.3  (b) 0.4  (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Convert 792 (base 13) to base 11.\nAnswer: a84","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 117 and 7059.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is (-951)\/(-6023)*(-38)\/(-3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(22)*-1 + sqrt(22))\/sqrt(11) - (sqrt(2) + sqrt(50))*-6 - (sqrt(2304)*4)\/sqrt(8))**2.\nAnswer: 288","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*a**5 + 4 - 4)*(-5 - 2 + 3) - 4*a**5 - 21 + 3*a**5 - 35*a**3 + 36*a**3.\nAnswer: 7*a**5 + a**3 - 21","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let p(i) = i**3 - 33*i**2 + 93*i - 143. Calculate p(30).\nAnswer: -53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is -44b2 (base 16) in base 6?\nAnswer: -213230","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0002179 rounded to five decimal places?\nAnswer: -0.00022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-3 + 3 + a**2 + (0 + a + 0)*(5*a - 2*a - 2*a))*(-30*a**2 + 66*a**2 - 278*a**2) to f*a + k + q*a**4 + u*a**3 + r*a**2 and give q.\nAnswer: -484","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let r(a) = -12*a - 6. Let w(s) = -21*s. Calculate r(w(d)).\nAnswer: 252*d - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from lllk. What is prob of picking 2 l?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (a**(-2\/3)*a**(4\/9)\/a*a)**(-7) assuming a is positive.\nAnswer: a**(14\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (9\/5)\/(78\/(-260)). Let m(r) = -r**3 - 5*r**2 + 8*r. Let s(t) = -2*t**3 - 10*t**2 + 17*t + 1. Let h(i) = -13*m(i) + 6*s(i). Give h(v).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 796310059 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:29 PM and 2:27 AM?\nAnswer: 298","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Add together 19368806453392 and -9.\nAnswer: 19368806453383","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 2895636 or 2895635?\nAnswer: 2895636","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve 440 = 276*q - 538 + 150 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4*((sqrt(209) + (sqrt(209)*-2 - sqrt(209))*6 + sqrt(209) + sqrt(209))\/(sqrt(11) + sqrt(539)*-1) + -2 + (-1*sqrt(2736)*-6 + sqrt(2736))**2).\nAnswer: 10*sqrt(19) + 536248","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 11735 and 1055?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Determine q so that q**3\/4 - 40*q**2 + 689*q + 1540 = 0.\nAnswer: -2, 22, 140","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -5 + (-1 - 0) + -609 + 616?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of r**3*y + 16*r**3 - 7*y**3 + y - 19 wrt y.\nAnswer: r**3 - 21*y**2 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 13567?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 2\/(-3) + (-411)\/(-9) + 3. Calculate the greatest common factor of p and 528.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 6260 + -6259.58034. Round s to 3 decimal places.\nAnswer: 0.42","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:58 PM and 2:23 AM?\nAnswer: 685","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-30 - 12 + 55 + 4 - 4 - 2 + (-3 + 1 + 4)*(-3 + 1 - 4))*(-2 - 2 + 5)*(-4*j - 6*j - 3*j).\nAnswer: 13*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:27 AM and 8:27 AM?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve 13*q + 34 = 5*x + 10*q, 3*x - q = 14 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -12\/25 - 51\/50. Which is the third biggest value?  (a) 6\/7  (b) x  (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 2248465291 to the nearest integer?\nAnswer: 1310","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 9?  (a) 0.3  (b) 1\/4  (c) 1  (d) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((s\/(s**(-3\/16)\/s))\/s)\/s**(7\/5)*s**(-8\/11)\/(((s*s**(1\/60)\/s*s)\/s)\/s) assuming s is positive.\nAnswer: s**(23\/528)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*r = 4*w - 2*w - 130, 0 = -2*w + 4. Let k be 3 - (r + 1) - (-7 - -6). Let q = 134 + k. What is the units digit of q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ual when three letters picked without replacement from uzzluzluazzzazaza?\nAnswer: 1\/170","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let t(w) = -3 + w**2 - 2*w - 10 + 0 + 1. Let f be t(-3). Solve 1 = f*h + 4 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 0.4 and -32?\nAnswer: -12.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 111 + -332\/3. Factor 0*c**2 + 1\/3*c + 0 - o*c**3.\nAnswer: -c*(c - 1)*(c + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*p**4\/7 - 75*p**3 + 528*p**2\/7 = 0. What is p?\nAnswer: -176, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: How many centuries are there in 0.4120938 years?\nAnswer: 0.004120938","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in fourty-three halves of a litre?\nAnswer: 21500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*x + 2*g - 20, x - 4 = 4*g + 16. What is the remainder when 30 is divided by x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*q + 10 = 4*l, 5*q + 0*q + 10 = 8*l for q.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 59, 48, 23, -22, -93, -196?\nAnswer: -337","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 5371 + 1600. What are the prime factors of l?\nAnswer: 6971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(h) = h**3 + h**2 - h + 22. Let n be (-357)\/(-952) + (-6)\/16. Calculate o(n).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 5159 and 7370?\nAnswer: 51590","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: 25 + (18 - 15 - 37) - (-13 - 1)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 143\/27020 and -37\/1250.\nAnswer: 3377500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 284770162?\nAnswer: 2, 17, 8375593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {h: 2, i: 1, u: 2, z: 10, l: 4}. Give prob of picking 2 z and 1 u.\nAnswer: 30\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-376 - 343 + 757)*(-3*p + 4*p + 0*p) + p - 2*p - p to the form q + f*p and give f.\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let o(c) = -6*c + 16. Let l be ((-68)\/5)\/(6\/(-15)). Let u = 36 - l. Suppose 3*g - 13 = 4*f, -6*f + 36 = g - f. Let d(x) = x - 3. What is g*d(q) + u*o(q)?\nAnswer: -q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Total of 2.02 and -68012.\nAnswer: -68009.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 103 - 8*v + 172 - 42 + 16*v - 5*v.\nAnswer: 3*v + 233","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.9 * -8595.\nAnswer: -7735.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: How many kilometers are there in 634.3362 nanometers?\nAnswer: 0.0000000006343362","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let s(r) = -r**5 - r**2 - 2*r + 1. Let x(j) = 70*j**6 - 10*j**5 - 5*j**2 - 20*j + 15. Let f(q) = -10*s(q) + x(q). What is the third derivative of f(z) wrt z?\nAnswer: 8400*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 446821?\nAnswer: 23, 19427","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -61 + 89. Let o = f + -50. Is 16 a factor of (-325)\/(-2) + (-55)\/o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 32.5 or 494989?\nAnswer: 32.5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (3\/(-9))\/(-3053*144\/(-20448)).\nAnswer: -2\/129","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let m(j) = -j**3 + 52*j**2 - j + 5108. What is the hundreds digit of m(0)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of -125, -123, -119, -113, -105, -95, -83?\n\"Answer: u**2 - u - 125","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 0 + 7. Let b = 6.9 - v. Let g = -0.1000005 - b. What is g rounded to 6 decimal places?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -11.8?  (a) -39  (b) -4  (c) 2\/11  (d) 2\/117  (e) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -11210 - 1?\nAnswer: -11211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 381\/(-3) + (86 - 73). Do p and -1242\/11 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 101011 - -101110000000100?\nAnswer: 101110000101111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -81968 divided by -179.\nAnswer: 81968\/179","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 748\/677901 at most -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let i(c) = 2*c + 4. Let m(o) = o + 1. Let h(p) = -2. Let l(u) = -h(u) + 2*m(u). Let d(n) = n**2 - 4*n - 3. Let b be d(5). Give b*i(v) - 3*l(v).\nAnswer: -2*v - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 24253086 and 182?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let m(j) = 394*j + 53501. Determine m(-137).\nAnswer: -477","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 1\/5, 3, -285.359?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 2.42 - 38.28. Let q = -0.86 - h. Let k = 40 - q. Which is the third smallest value?  (a) k  (b) 3  (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*g = 1331*p - 1330*p - 47346, -3*p + 142038 = -2*g. List the prime factors of p.\nAnswer: 2, 3, 13, 607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*h - x + 10 = 0, 0 = -2*h + 4*h + 4*x - 22. Suppose -3*i - h*m + 39 = 0, -4*m = -5*i - 0*m + 110. What is the greatest common divisor of i and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 345 minutes before 10:54 AM?\nAnswer: 5:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let h(f) be the first derivative of 601*f**2 - 2543*f - 2176. What is the derivative of h(t) wrt t?\nAnswer: 1202","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of -13451, -26963, -40459, -53933, -67379?\n\"Answer: t**3 + 2*t**2 - 13525*t + 71","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let f(x) = 0 - 2 - x**2 - x - 1. Let v be f(0). Let g be 1*((-12)\/v - -1). Solve g*k + 9 = 2*a, -3*a = 3*k + 2*k + 24 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of 136 and 0.2.\nAnswer: 27.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 16165 and 305.\nAnswer: 305","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -8 + -12?\nAnswer: -1a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 367 minutes before 9:16 AM?\nAnswer: 3:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is -20 divided by -473?\nAnswer: 20\/473","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 1878805531 to the nearest integer?\nAnswer: 43345","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -4197\/902, -3, -0.4, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 12 = 5*o + 3*p, -3*o + 3*p + 9 = -3. Let m(t) = 21*t**2 + 2*t - 4. Is m(o) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(r) = -14*r**3 + 2*r. Let c(v) = 13*v**3 - 3*v. What is 3*a(x) + 2*c(x)?\nAnswer: -16*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 429 minutes after 7:19 PM?\nAnswer: 2:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let k be ((-17)\/5)\/(-1) + 16\/(-40). Suppose 5*d - 29 = -k*o, 0*d + 5*d - 5 = 5*o. Let p(g) = g**3 + 8*g**2 + 5*g - 2. Does 30 divide p(d)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(n) be the third derivative of n**6\/120 + n**5\/10 - 5*n**4\/24 + 5*n**2. Is m(-5) a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 6235?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*u - 3*w + 6 = 0, 0 = 2*w + 6 - 0. Let g = -0.06 - -1.06. What is the closest to g in -2, -2\/11, u?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 0 - -0.3. Suppose 0 = 5*j, -3*j - 22 = 2*x + 6. Let b = 9 + x. What is the closest to -1 in 0, q, b?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 374?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 157213*k**4 + 19*k**3 - 10881382*k**2.\nAnswer: 3773112*k + 114","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 9397 - 6034. Suppose v = 9*a + 6. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 36\/11 + -64\/33. Find t, given that 0*t**2 - w + 2\/3*t**3 - 2*t = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -3.9735 minus 3.1?\nAnswer: -7.0735","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 244865 is divided by 122424.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -0.428437 + -4250.581563. Let b = 4231 + m. What is b rounded to zero dps?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2090017.\nAnswer: 2090017","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Does 39 divide 565?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Expand 612944 - 612944 - 759*n**4 - 2*n**4 - n**4 + n**4 + (n - n - 3*n**2)*(2*n**2 - 1 + 1).\nAnswer: -767*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -258b4d6e - 3?\nAnswer: -258b4d72","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let r(v) = -9*v. Let p(y) be the first derivative of 84 + 26\/3*y**3 + 0*y + 0*y**2. Determine p(r(n)).\nAnswer: 2106*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: 30717 + -0.4696\nAnswer: 30716.5304","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 221021 - -122?\nAnswer: 221220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let -3\/2 - 3\/8*a**4 + 9\/2*a - 39\/8*a**2 + 9\/4*a**3 = 0. What is a?\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 1100202 - -221000?\nAnswer: 2021202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let i(p) = -p + 1. Let g be i(-3). Suppose -9*w + 5 = -2*m - 4*w, 0 = g*m + w - 23. Sort -1, m, 0 in descending order.\nAnswer: m, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -152.08 - -156. Let t = 0.078 + 0.002. Let x = t + h. Which is the nearest to 1?  (a) x  (b) -1\/3  (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 8090.14l?\nAnswer: 8090140","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 7 a factor of 1308209?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(612)\/(sqrt(1728)*1))\/((sqrt(12)\/(sqrt(6)\/sqrt(3)))\/sqrt(2))*3.\nAnswer: sqrt(17)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: 14285437 divided by 733\nAnswer: 19489","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -36*q = -55 - 4157. What is the highest common factor of q and 20631?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine c so that -3*c**4 + 9591*c**3 - 11231595*c**2 + 5656919229*c - 1017161409222 = 0.\nAnswer: 434, 921","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let z(l) = -l**3 - 20*l**2 - 24*l - 25. Let j be z(-15). List the prime factors of j\/(-11) + (-11)\/((-242)\/4).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (2 - 1 - 3 - 89 + 286 + 537 + (-3 + 0 + 5)*(-2 + 3 + 1))*(-1 + 1 - 2*z**2) as s + h*z + i*z**2 and give i.\nAnswer: -1472","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 14 - 8 - 13 + 7 - 3*w**2.\nAnswer: -3*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*s - 17 = 163. Let f be ((-675)\/s)\/((-6)\/(-560)). What is f rounded to the nearest 100?\nAnswer: -1800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 10767568 divided by 96139.\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 26 = l + l - 4*o, -28 = -4*l + 2*o. Sort 1, -3\/4, 34, l in ascending order.\nAnswer: -3\/4, 1, l, 34","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(t) = 208*t + 33. Let h(o) = -204*o - 32. Let j = 480 + -476. Let y(u) = j*g(u) + 3*h(u). What is the derivative of y(q) wrt q?\nAnswer: 220","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 135332507 to the power of 1\/3, to the nearest integer?\nAnswer: 513","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 0\/2 - (-5 + 5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (5*-3*sqrt(2304))\/(sqrt(1452) + sqrt(1452)*-2 + (sqrt(300)*1 - sqrt(12))).\nAnswer: 120*sqrt(3)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: 8 (base 14) to base 16\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let o(z) be the second derivative of 1\/5*z**5 + 0*z**2 - 1\/5*z**6 + 0*z**4 + 19*z + 0*z**3 + 1\/21*z**7 + 0. Factor o(d).\nAnswer: 2*d**3*(d - 2)*(d - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 29 - 18. Let f = 22 - c. Let t(q) = 24*q + 3. Let y be t(4). Calculate the greatest common divisor of f and y.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -99\/494 and 97\/131716?\nAnswer: 2502604","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let n(u) = -u**2 - 1. Suppose -a = -4*x - 8 + 3, 0 = -3*a - 9. Let y be n(x). Let h(q) = -q**2 - 2*q. What is h(y)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.5?  (a) -1\/4  (b) 0.2  (c) -0.03  (d) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let b(o) = -o**2 + 106*o - 504. What is b(5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 13 a factor of 23673?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let k(x) = -18*x**2 - 147*x + 117. Let v be k(-9). Let j be (26\/(-6))\/((-4)\/(-12)). Which is bigger: j or v?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(11) + -1*(sqrt(44)\/sqrt(4) + sqrt(11) + sqrt(11)) - (5 + sqrt(11)*-2))*-6 + 1*(4 + ((sqrt(66)*1 + sqrt(66))\/sqrt(6) - sqrt(11))) + -2)**2.\nAnswer: 64*sqrt(11) + 1035","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 1\/((-3)\/(-24)*-2). Let l = 7 + -3. Which is the closest to 1?  (a) f  (b) -0.1  (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:44 PM and 10:26 PM?\nAnswer: 582","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(448)*-1*-3 + -2*6*-1*sqrt(847) + 4 + 0)**2.\nAnswer: 1248*sqrt(7) + 170368","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let n(a) be the second derivative of -a**5\/20 + a**4\/12 + 25*a**3\/6 - 25*a**2\/2 + 3*a - 314. Factor n(h).\nAnswer: -(h - 5)*(h - 1)*(h + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 7254\/15 - -1 - (-12)\/30 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(b) = b**3 + b**2 - b + 1. Let q(o) = 5*o + 2. Let v(w) = 5*p(w) - q(w). What are the prime factors of v(4)?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -2 - ((-8 - -5) + -1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (j**(2\/9)*j**(1\/3))\/(j**(2\/3))**47 assuming j is positive.\nAnswer: j**(-277\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let i(r) = -16*r**3 - 2*r - 2. Let g(m) = m**2 - 1. Let d(o) = -g(o) + i(o). Give d(-1).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 628 minutes after 10:52 AM?\nAnswer: 9:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 1092557591?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -0.203 - -0.20300241. What is t rounded to six decimal places?\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -14227525079.7193 take away -4?\nAnswer: -14227525075.7193","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 76718029 to the nearest integer?\nAnswer: 425","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let x(z) = -12*z**2 - 27*z - 2. Let c be x(-2). Solve o - b + 19 = 5*o, 5*b - 31 = -c*o for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (0 - -48) + 12645 + -12720?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Round -25035.561 to the nearest one hundred.\nAnswer: -25000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3410 - 5710 = 30*h. Let v = h + 313. Calculate the greatest common divisor of v and 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 43208\/7, 3\/8, 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0 in -0.021, -2, 1\/3?\nAnswer: -0.021","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence jy when two letters picked without replacement from {y: 5, m: 1, l: 1, j: 1, w: 2}?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -18.5793 in 0.2, -0.8, 41, -2\/21?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -6 - -1 - (43 - 34) - (-450 + 452)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let c(r) = r**2 + 11*r - 40. Let v be c(5). Suppose 0 = 25*f - 35*f + v. Solve f*q = 2*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -783*r + 734*r = -714371. What are the prime factors of r?\nAnswer: 61, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-24*(-5)\/15)\/(6\/(-519)). What is i rounded to the nearest one hundred?\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 689 minutes after 1:42 AM?\nAnswer: 1:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 100925 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: Which is smaller: 325\/7 or 45?\nAnswer: 45","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 3*1\/1 - -1. Suppose 5*s - 2*g = 110, -t*s = g - 72 - 29. Is s a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from siddsss. Give prob of picking 1 i, 1 s, and 1 d.\nAnswer: 8\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose s + 8 + 2 = 0. Let z be (-11)\/(-5) + 2\/s. What is the remainder when ((-1)\/z)\/(5\/(-470)) is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((j*j\/((j\/(j*j*j\/j**(-2\/13)))\/j)*j)\/j**(-2\/5)*j**(1\/2)\/j**5)**(-36) assuming j is positive.\nAnswer: j**(-4806\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 3\/(((-1)\/4)\/((-190)\/(-9690))).\nAnswer: -4\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 89600?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Factor t**2 - 49*t + 94.\nAnswer: (t - 47)*(t - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is -38.5 times 0.9?\nAnswer: -34.65","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1162020.\nAnswer: 2, 3, 5, 107, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is (493038\/31304)\/(2\/((-224)\/36))?\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 b and 1 w when two letters picked without replacement from {w: 2, b: 3}.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -759 + 764. What is the second smallest value in -10, q, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-n + 6*n + 16*n)*(-30 - 32 - 84 + 9 + 12) to the form t*n + a and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -120789, -241546, -362303, -483060, -603817, -724574?\nAnswer: -845331","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 2146115?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 k when three letters picked without replacement from kkhkhkhkhkkhhhkhhkkk.\nAnswer: 11\/76","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let c(k) = 88*k - 2195. What is c(7)?\nAnswer: -1579","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 14286629603 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*y**3 - 969267*y**2 + 2907780*y - 1938516 = 0 for y.\nAnswer: 1, 2, 323086","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 467 minutes after 12:31 AM?\nAnswer: 8:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let u be ((-1)\/(-6))\/1*16\/(-466). Let r = u - -13369\/15378. Let y = -5449\/330 + 2\/165. Calculate the common denominator of y and r.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 29691229?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is -586424 (base 12) in base 7?\nAnswer: -15035626","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 33 a factor of 392634?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is -3773457 divided by 22067?\nAnswer: -171","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*u + 812 = 3539. Suppose 7*v - u = 43. What is the hundreds digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1986 + -1969 + -32 + -1 - 30.\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 42 - 42.4. Let a be 2 + 66\/(-16) - -2. Sort y, 0.3, a in increasing order.\nAnswer: y, a, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: -10*12\/96*27\/(-63)*-4\nAnswer: -15\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (14 - 24) + 17 + -1 - -7.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 113778 is divided by 2716?\nAnswer: 2422","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let t(p) = -5*p**2. Suppose 3*b - 3*l = 33, -3*b + 4*b - 9 = 3*l. Let n(f) = -6*f**2 + b*f**2 - 4*f**2 + 0*f**2. Calculate t(n(i)).\nAnswer: -20*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 13350 - -5627. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1347199 not equal to 1347200?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -246b74 - 1?\nAnswer: -246b75","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve -8*r - 2*o = -3*r + 1, 2*o = -r - 5 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of -18, -12, -6, 0?\n\"Answer: 6*p - 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-6 - -5)*-6 - 4. Solve -k*o = -4*a - 14, 6*o = 2*o - a + 1 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(z) be the third derivative of -1\/4*z**4 + 7*z**2 + 1\/60*z**5 - 11\/6*z**3 + 0 + 0*z. What is the remainder when 85 is divided by x(-5)?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -0.85 + 0.8422. What is j rounded to 3 decimal places?\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -860308 - 29*t + 860308.\nAnswer: -29*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 109\/7216 and 37\/968.\nAnswer: 79376","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of -3751, -7625, -11499, -15373, -19247, -23121?\n\"Answer: -3874*s + 123","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: -108 * 0.1017\nAnswer: -10.9836","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: 35+7400061\nAnswer: 7400096","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let j(x) be the first derivative of -x**2\/2 - 4*x + 1. Suppose 0 = -c + 4*c + 42. Let f = 9 + c. Determine j(f).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of (-51)\/34*-1226*(-19)\/(-3)?\nAnswer: 19, 613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of (0 - (-8577)\/24)\/(23\/184).\nAnswer: 3, 953","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -0.52 + 0.08. Let w = b - -0.24. Let i = 0.2 + -0.1. What is the closest to i in -2\/9, -1\/4, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify u*u*u\/(u**(2\/13)\/u)*(u*u**(-2\/13))\/u*u*(u**(-2))**2 assuming u is positive.\nAnswer: u**(9\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 g and 1 v when two letters picked without replacement from {x: 1, h: 1, g: 1, w: 1, v: 2, e: 1}.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*l - 5*l + 2*l)*(19 - 30 + 220).\nAnswer: -627*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 4 + 4 + -10 - (3 + -1).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(p) = -77 + p + 142 - 83. Let j be v(22). Solve -5*q + 19 - j = 0 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -90 - -89. Let u be (308\/(-287) - d)*(-3 + 4). Which is greater: u or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -198*g = -1583 - 663 - 130. Let z(a) = 2*a - 3. Let d be z(4). Solve d*y + 32 = g for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:27 AM and 3:22 AM?\nAnswer: 175","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 256 - 255. What is the nearest to z in -7, 0.03, 0.4, 17?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(p) = p**2 + 4*p + 1. Let v be o(-5). Let m(d) = -4*d + d**2 - 4*d - 3 + 4*d. What are the prime factors of m(v)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -4, 1, 3, -6, -2 in increasing order.\nAnswer: -6, -4, -2, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (u**(-2\/7))**(-35)\/(u\/((u*u**(2\/9))\/u))**(7\/8) assuming u is positive.\nAnswer: u**(671\/72)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.000001099 to six dps.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.24, -0.09, -5, 0.4, 1 in ascending order.\nAnswer: -5, -0.24, -0.09, 0.4, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -4*d*f**2*j - 7*d*f**2*o - 731*d*f*j*o - d + 29*f**2*o - 2*f*j*o wrt f.\nAnswer: -8*d*j - 14*d*o + 58*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let v(z) = -z**3 + 9*z**2 - 14*z - 2. Let u be v(7). Let q be 6\/(84\/(-7)) + (-3)\/u. Which is the second smallest value?  (a) -5\/3  (b) q  (c) 2\/15  (d) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(l) = -l**3 - 7*l**2 - 4*l + 2. Give f(-5).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-2*c + c**2 + 2*c)*(0*c + 0*c - 2*c**2) + (-c**2 + 5*c**2 - c**2)*(-2 + 6*c**2 + 2) to the form w*c**3 + t*c**2 + k*c + i + v*c**4 and give v.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (27\/(-6))\/(-9)*64. Let s = -30 + g. Put s, -1, 5 in descending order.\nAnswer: 5, s, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 287.9625135 to 2 decimal places.\nAnswer: 287.96","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3*g**3 + 5114372312*g + g**2 - 5114372312*g - g**2.\nAnswer: -3*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (4*sqrt(272)*3 + sqrt(272) + (sqrt(272) - (sqrt(272) + 0 + 3 + sqrt(272))))**2.\nAnswer: -288*sqrt(17) + 39177","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 35 a factor of 368702215?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -26 - -38. Suppose -s = p - 35. Let v = p - 19. Solve h + v*b - 8*b + 19 = 0, 15 = -h + 3*b for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 32 - 21. Let q = -4 + z. What are the prime factors of q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 601*m + 0 - 18561*m + 0.\nAnswer: -17960*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-195)\/26 + (5 - 2). Let m = -67 - -61. Which is bigger: z or m?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 2 and 1502.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -5 + (-1340)\/(-644) + 3 and -50\/11.\nAnswer: 1771","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 33614 to the nearest integer?\nAnswer: 183","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-45)\/(-4)*32\/(-12). Let q = 2 - i. Let d = -22 + q. Solve -d - 5 = 3*n for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let -3*f**3\/5 + 42*f**2\/5 + 21*f - 144\/5 = 0. Calculate f.\nAnswer: -3, 1, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Product of -86 and 0.3.\nAnswer: -25.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is v in 5*v**2 - 69875*v + 63375000 = 0?\nAnswer: 975, 13000","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -32*a - 25 - 7 = 0. Sort a, 9, -3, -2.\nAnswer: -3, -2, a, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 156080 and 15139760?\nAnswer: 15139760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 13935787*q - 13935787*q - 3*q**2.\nAnswer: -3*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 2161701719 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Does 46 divide 6670?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let c(g) = 34*g**2. Let l(k) = 5*k**2 + 8. Let v(u) = 6*u**2 + 10. Let b(x) = -5*l(x) + 4*v(x). Give c(b(i)).\nAnswer: 34*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -12*f + 121 - 13. Put -6, -1, f in increasing order.\nAnswer: -6, -1, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -18 + 23. Suppose 0 = -4*u + 20, d*u - 5 = 5*z - 0*u. Suppose -3*k = 0, z*k = -0*y + 3*y + 15. Sort 3, -15, y, 2 in descending order.\nAnswer: 3, 2, y, -15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 4 - 3. Let c(y) = -16*y**2 + 1. Let l be c(z). Let k = -8 - l. What is the units digit of k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of -2376, -9424, -21114, -37446, -58420, -84036, -114294?\n\"Answer: -2321*d**2 - 85*d + 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose r = 4*l - 5, 2*l = -4*r - 14 - 6. Which is greater: -7 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 623 and 9022553.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"}
{"text":"Question: Let r(b) be the first derivative of 14*b**3\/3 + 3*b**2 + 536. Let q(t) = -42*t**2 - 17*t. Calculate 6*q(k) + 17*r(k).\nAnswer: -14*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 302721 is divided by 2085?\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 34, 493, 1324, 2701, 4798?\nAnswer: 7789","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 103\/78 and 1\/35043086.\nAnswer: 105129258","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 2125243779 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 169 + -168.98915. Round m to 3 decimal places.\nAnswer: 0.011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 6*f - 22*f - 48. Let q(o) be the second derivative of o**4\/12 + o**3\/2 + 3*o**2\/2 + 2*o. Determine q(f).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose d = -3*d. Suppose d = k - 3*k - 2. Do k and 0.1 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (j*j**(-1\/3)\/j)**(3\/14)*(j\/j**(-7)*j*j)**(2\/155) assuming j is positive.\nAnswer: j**(25\/434)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 108, 189, 262, 327, 384?\nAnswer: 433","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let g(y) = -2*y + 1. Let v(i) = 51*i + 6. Let k(w) = 4*g(w) + v(w). What is the tens digit of k(2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 1062, 1820, 2490, 3072?\nAnswer: 3566","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let k(t) = -2*t**3 - 12*t**2 - 17*t + 11. Let f = -181 - -34. Let q = 141 + f. What is the units digit of k(q)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many milliseconds are there in 7.837286 seconds?\nAnswer: 7837.286","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth biggest value in 4, -5, 2\/17, -1\/43, 3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 1095 and 684710?\nAnswer: 149951490","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 406\/10 - 2 - 9\/15. Let z = 45 + j. Suppose -b + 3*b - 42 = 0. What is the remainder when z is divided by b?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 4704*b*u**3 - 214*b + 805*u**3 - u**2 - 2043*u - 1 wrt u?\nAnswer: 28224*b + 4830","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let k(b) be the second derivative of -5*b**8\/56 + b**6\/10 + 7*b**4\/12 - 13*b**3\/3 - 85*b. Find the third derivative of k(r) wrt r.\nAnswer: -600*r**3 + 72*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -72*v**5 - 8*v**3 + 2*v**2 - 983*v + 215 wrt v.\nAnswer: -1440*v**3 - 48*v + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-12*z**4 + 13*z**4 - 21*z**4)*(2*z + 0*z - 4*z)*(-3 - 1 + 2).\nAnswer: -80*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: 4205c (base 14) to base 10\nAnswer: 159234","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 2034551 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.000001226 to 6 dps.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is -4 + 0 - (-3 + 1 + 3)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*z = 2*z - 120. Is (-3036)\/(-40) + (-3)\/z a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 3955589?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -62*i**2*v - 10507*i**2 - 11*i*v**2 - 1995*v**2 + 19425 wrt i?\nAnswer: -124*i*v - 21014*i - 11*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_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: List the prime factors of 9148761.\nAnswer: 3, 167, 2029","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1*sqrt(78)\/(-2*sqrt(6)).\nAnswer: -sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 60*f - 292 = 133*f for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 119964642 to the nearest integer?\nAnswer: 493","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 8\/40 + -12 + 12?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 1235344?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 69 - 49. Which is bigger: 0 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -3*g**3*i - 21*g**3*m**2 + 3*g**3 + g*i*m**2 - 45*g*i - i*m**2 - m**2 wrt g?\nAnswer: -18*g*i - 126*g*m**2 + 18*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 39 + (3 - (2 + -14 + 25)) + 0.\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0, 9, 47, 2, -5, -3 in descending order.\nAnswer: 47, 9, 2, 0, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -55 - 40 = -19*h. Calculate the lowest common multiple of h and 8.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -13 - 1011014?\nAnswer: -1011031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 35 a factor of 437484320?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 332448 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let t(v) = -3*v. Let i(y) = y + 5*y - 5*y. Give i(t(u)).\nAnswer: -3*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7 = -b + 17. Calculate the greatest common factor of 24 and b.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-7)\/((-14)\/11)*(-13)\/((-273)\/(-42)).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let o(w) = -2*w**2 - 28*w + 3. Let u be o(-14). Let -2*k**2 - 4*k**u + 8*k**3 - 3*k**4 + k**4 = 0. Calculate k.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 11658 - 408 = 3*k. Let d be (k\/(-9))\/(3\/1008). What is d rounded to the nearest 10000?\nAnswer: -140000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -3821 <= -3818?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 2\/379 > 5.8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: -1702.527 times 0.02\nAnswer: -34.05054","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -1 - (2\/(-2) + -4 - -2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*k = -s + 16, 52 = 2*s + s - 4*k. Solve 3*m + m + s = 0 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(x) = -2*x**3 - 46*x**2 - 104*x + 28444. Calculate d(18).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 q, 1 m, and 1 n when three letters picked without replacement from tqnthzqm?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Determine h, given that -4*h**3 + 4888*h**2 = 0.\nAnswer: 0, 1222","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (0 - -21 - -2) + 1. Let o = 9 + d. Suppose -3*f + 44 - 17 = 0. Calculate the remainder when o is divided by f.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -5919 - -2346. Let c = k + 107179\/30. Let u = c + -2\/15. Which is bigger: 2 or u?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: -2520 (base 16) to base 7\nAnswer: -36465","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 38864148 a multiple of 47?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) 0  (b) -0.21  (c) -5  (d) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -66189*f**3*h - f**3 - 5*f**2*h**2 - 777340*f with respect to h.\nAnswer: -66189*f**3 - 10*f**2*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 289*t - 82 = 24*t - 20752 for t.\nAnswer: -78","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 1102772284?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of -36323438, -145293658, -326910692, -581174540, -908085202?\n\"Answer: -36323407*u**2 + u - 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -3\/40  (b) 344  (c) 2  (d) -65\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -18\/5 - -152\/45. Let s be -1 + 18\/8 - (15 + -14). Which is the closest to -1.3?  (a) 1\/2  (b) s  (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -5 or -30287\/4664?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 56 + -60. Put 2, b, 0.4 in decreasing order.\nAnswer: 2, 0.4, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 11056579 a multiple of 1525?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -265 + 377. Let c be (2\/5)\/(5\/(2 + 23)). Suppose 2*o + 2*o - k = -c*f, 4*f - 68 = -2*o. Is 13 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -325640, -325650, -325660?\nAnswer: -325670","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let i(f) = 10*f**2 + 48*f + 68. Is i(-16) a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*s - 9 = -t, 0 = 5*t - 4*s - 18 - 8. Let p(j) = 22*j**2 + 3 + 23*j**2 - j**3 + 29*j**2 + 9*j - 5 - 69*j**2. Let r be p(t). Solve 9 = 5*o - r for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of 72, 347, 822, 1509, 2420, 3567, 4962, 6617?\n\"Answer: 2*l**3 + 88*l**2 - 3*l - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 3431*g**6 - 17*g**3 - 48*g**2 + 827*g?\nAnswer: 411720*g**3 - 102","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let f(o) = 3*o**2 + 38*o + 5. Let c be f(-8). Let d = 112 + c. Solve -25 = -5*g - d*u, -g - u + 5 = -5*u for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*g + 28 = 2*g. Calculate the remainder when 11 is divided by g.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 28271 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-18 + 18 + 6*f)*(2*f - 1 + 1) - f**2 - f**2 - 3*f**2 - 2*f**2 + f**2 + 0*f**2 + (1 - f - 1)*(-4*f + 5*f + 0*f).\nAnswer: 5*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve -g + 3 = 0, 19 = 1759*j - 1761*j + 3*g for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 1283701 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2*u + 937*u**2 + 2*u - 4*u - 963*u**2.\nAnswer: -26*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let s(v) = v**2 - 16*v - 26. Determine s(17).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*u = -32 + 2. Suppose -23 = -2*t + u. Let r = -16 + t. What is the remainder when 5 is divided by r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 13859698?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0, 3\/4, -0.2, 33147 in ascending order.\nAnswer: -0.2, 0, 3\/4, 33147","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from seeeeeseese. What is prob of picking 3 e?\nAnswer: 56\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 48733608*z**4 - 27690870*z wrt z.\nAnswer: 584803296*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from rooiriiriiioiooooo. What is prob of sequence iooo?\nAnswer: 49\/1530","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Divide 95215 by 5.\nAnswer: 19043","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -31 + 17. Let i = 10 + c. Let v = -5 + 6. What is the closest to v in 0.1, i, -1\/5?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 1154 and 38?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Divide 12852714 by -5593.\nAnswer: -2298","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is -3300400 (base 8) in base 12?\nAnswer: -368194","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (9\/5)\/((-24)\/80).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 245963 + 211898 = 23*x. Find the second derivative of -88*q**4 + 19907*q**2 - 17*q**4 - x*q**2 - 20*q wrt q.\nAnswer: -1260*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 561498?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 363636.\nAnswer: 2, 3, 7, 13, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1612*z = 1642*z + 480 for z.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:07 PM and 4:02 PM?\nAnswer: 175","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -58*i + 181*i - 61*i - 63*i.\nAnswer: -i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1595715 is divided by 308.\nAnswer: 275","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-6)\/(-4)*2 + -1. Let k be d\/(2 - 9\/6). Suppose 6*b - b - 85 = -3*f, 4*b - k*f - 100 = 0. Does 8 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 24752 and 13?\nAnswer: 24752","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of 29, 89, 189, 329, 509, 729?\n\"Answer: 20*s**2 + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 2\/187, 0.8, -1?\nAnswer: 2\/187","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Does 7 divide ((-200241)\/513)\/((-1)\/3) - (-1 + -3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -1783\/5239 - -3\/169. Let f = a + 143\/155. Is f < -52?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(n) = 2586*n. Let m(k) = -7*k**2. What is m(s(r))?\nAnswer: -46811772*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -2\/5?  (a) -4  (b) 1  (c) -0.1  (d) -7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 4 + 0. What are the prime factors of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9*t + 2*t - 330 = 0. What is the units digit of t?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -130511455 + 14?\nAnswer: -130511441","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 43 a factor of 24267222?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*o**2\/7 - 46*o\/7 - 44\/7 = 0.\nAnswer: -22, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let a(p) = -p**2 + 121*p - 1408. Let q be a(108). Let k(b) = -3*b - 10. Let x(t) = 3*t + 9. What is q*k(d) - 5*x(d)?\nAnswer: -3*d - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*f - 1240 = 4*d - 2*d, -4*d + 941 = 3*f. Let w = 450 - f. Does 23 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4, 0, -118, -2.\nAnswer: -118, -4, -2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let w(x) = 50*x + 29. Let n(b) = -133*b - 86. Calculate -3*n(f) - 8*w(f).\nAnswer: -f + 26","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -37*r - 34*r + 2*r to m + l*r and give l.\nAnswer: -69","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:28 AM and 7:27 PM?\nAnswer: 599","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Does 430 divide 567780138?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let o(p) = -5*p**2 + 56*p + 195. Let s be o(13). Solve 14*v = -6 - s for v.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence vvjv when four letters picked without replacement from jvjvvvvvvvvvvjjvvvvv?\nAnswer: 112\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -4667*a**3*d**2 - 34*a**3 - 9*a**2*d + a**2 - 6024*a*d - 2*a - 14536*d**4 wrt d.\nAnswer: -9334*a**3 - 174432*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -21*d + 52*d - 1 - 46*d + 104*d + 51*d to the form g*d + u and give u.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -155601*d**2 + 57734 wrt d?\nAnswer: -311202*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let h(x) = -x**3 + 9*x**2 - 4*x + 2. Let v be h(6). Suppose 5*r = -s + 3*s - v, 0 = -3*s + 3*r + 129. What is the remainder when s is divided by 15?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange t**2 - 114 - 58 + 43 to o + u*t**2 + x*t and give o.\nAnswer: -129","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 56 = 3*w + w. Let o be -5 + 13 + (16 - 708\/30). Which is the second biggest value?  (a) w  (b) o  (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -862 - -902. Does 20 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -19 - -24. Suppose -5*f + i = -4*f. Suppose -6 = 2*m - 4*z - 20, 30 = 5*m - 5*z. What is the lowest common multiple of m and f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(w) = 8*w + 1. Let q be x(1). Let u be 39\/q - 2\/6. Solve 0*i + 8 = -u*i for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -994*q**3 - 366?\nAnswer: -2982*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 1018940177 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let d(t) = -12*t + 209. Let h be d(8). Suppose h*o = 115*o - 552. Calculate the remainder when o is divided by 71.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 116937.5349 rounded to the nearest one thousand?\nAnswer: 117000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 6225856 and 112.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 372.2 + -420. Let b = -43.8 - h. Sort 0, b, 6\/17, -1 in increasing order.\nAnswer: -1, 0, 6\/17, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*c + 12 = -16*a, 164784*c + 12 = 2*a + 164780*c for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 205644?\nAnswer: 2, 3, 17137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let t(r) = -r**2 - 2*r + 2. Let u(b) = -4*b**2 - 2*b + 6. Let d(w) = -3*t(w) + u(w). Let c(x) = x**2 - x - 1. Give -3*c(z) - d(z).\nAnswer: -2*z**2 - z + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1*sqrt(72) + 3 - sqrt(72) - (5 + (sqrt(72) - (sqrt(72)*2 - sqrt(72)) - sqrt(72))))**2.\nAnswer: -24*sqrt(2) + 76","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -ea + -5d8?\nAnswer: -6d3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*w + 0*w + 0*w - 1)*(-352*w - 361*w - 22*w)*(0*w**2 - w**3 + 0*w**2).\nAnswer: -1470*w**5 - 735*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 2556?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Express 1783 - 2*v**4 - 886 - v - 883 - 3*v**2 in the form r*v**4 + l*v**3 + m*v**2 + x + n*v and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -79 = 8*s - 263. Calculate the remainder when s is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(p) = 2*p**2 + 5*p - 5. Let g be s(1). Suppose -25 - 1 = -g*x. What is the units digit of 506\/8 - x\/52?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 250c1 + -5?\nAnswer: 250bb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 50 + -48. Suppose -4*i = -u - 3*u - 640, z*i = -3*u + 315. What are the prime factors of i?\nAnswer: 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is ((-234559)\/26)\/(26\/(-4) - -6) a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 4 + 4b11?\nAnswer: 4b15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -g + g - 217*g**3 - 512*g**3.\nAnswer: -729*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (z\/(z*z\/z**(4\/15))*z)**(1\/7)\/(z**(12\/5))**36 assuming z is positive.\nAnswer: z**(-9068\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 25 and 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let b(v) = -v**3 - v - 1. Suppose 0*d - 24 = -6*d. Let r(p) = -4 - 43*p + 2*p**3 - 50*p - 8*p**3 + 83*p. Calculate d*b(f) - r(f).\nAnswer: 2*f**3 + 6*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 8\/1 + (-13)\/((-156)\/(-72)). Suppose 29*l + y*l = 11904. What are the prime factors of l?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 7\/(0 - (-12 - -11)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 363251.49 days to weeks.\nAnswer: 51893.07","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Divide 2080 by -32.\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1217 divided by -4276.\nAnswer: -1217\/4276","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10*m + 3*z = 8*m + 25, -5*m + 85 = 3*z. What is the remainder when 68 is divided by m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -9 - -19. Is 5 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(a) be the third derivative of -2*a**5\/15 + a**4\/6 + a**3\/6 + 80*a**2 - 46*a. Let z(y) = -23*y**2 + 11*y + 4 - 1 + 0. Determine 17*n(g) - 6*z(g).\nAnswer: 2*g**2 + 2*g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Convert -302033220 (base 4) to base 3.\nAnswer: -101110022020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*f + 2*m + 2*m = 1, 7 = f + m for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2\/13, 2\/21, -2\/9, 45.8, -60 in increasing order.\nAnswer: -60, -2\/9, 2\/21, 2\/13, 45.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -84 + 50. Let f = v - -33.5. Suppose -8*q = -3*q + 5*g - 50, 0 = 2*q - 5*g + 15. Which is the nearest to 0.5?  (a) f  (b) 4  (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1734 is divided by 145.\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 14530, 14549, 14586, 14647, 14738, 14865, 15034?\nAnswer: 15251","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let n(w) = -w**3 - 2*w**2 - 2*w. Let g be n(-2). Suppose -7*q + 45 = -g*q. What are the prime factors of q?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 2123*y**4 - y**2 - 498*y?\nAnswer: 50952*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -0.48672 - -0.522761. Let c = -1.936 - -1.9. Let l = y + c. What is l rounded to 5 dps?\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -5 + 2*((-21)\/(-6) - 1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -157, 5, 89, 2 in descending order.\nAnswer: 89, 5, 2, -157","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (((-16)\/(-42))\/(-4*(-4)\/(-24)))\/(591\/1379)?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -267.7166198 rounded to two decimal places?\nAnswer: -267.72","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of 867353, 868620, 869887?\n\"Answer: 1267*w + 866086","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Put -3, 25, 9790, -10 in decreasing order.\nAnswer: 9790, 25, -3, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 1 + -1. Suppose 0 = -2*f + 118 - i. Calculate the remainder when f is divided by -3 + (-392)\/(-22) + 12\/66.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 1667?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: ((-244)\/(-427))\/((-2)\/(-1))\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 136 a factor of (-76)\/(-380) + 2 + (-4069)\/(-5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(z) = z**3 + 7*z**2 - 11*z - 7. What is the remainder when 33 is divided by o(-8)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.029769201 to 4 decimal places.\nAnswer: 0.0298","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of 149028386, 298056770, 447085154?\n\"Answer: 149028384*s + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from wcwwcww. What is prob of picking 2 w?\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is -924.1914 rounded to the nearest 10?\nAnswer: -920","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 394 minutes before 7:01 AM?\nAnswer: 12:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 360313069?\nAnswer: 67, 5377807","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -0.5 - -0.51. Let c = 3.51 - d. Let n = c + -0.5. Is 0 at most n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -3?  (a) 1\/248  (b) 478  (c) 0  (d) 4  (e) -2\/3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let u(i) = -2*i. Let l(d) = -7*d**2 - 2*d - 10. Let j(x) = -2*x**2 + 3*x + 11. Let o(z) = 2*j(z) + 3*l(z). Calculate o(u(h)).\nAnswer: -100*h**2 - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let l(w) = 2*w - 1. Let n be l(0). Calculate the common denominator of n\/(-18)*-19*4 and (1\/(-12))\/((-484)\/(-3520)).\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 31404694 to the nearest integer?\nAnswer: 315","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve -19102*w + 12 = -19098*w + 4*s, -3*w + 7 = 4*s for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.4 in 1\/3, -4, -1454, 2\/5, 3, -0.4?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between 712940.2 and -131.536?\nAnswer: 713071.736","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 389 - 412 = h. What is the units digit of (h\/4)\/(40\/(-4800))?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 150 a factor of 374480281?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 583, 549, 515, 481, 447, 413?\nAnswer: 379","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand -6*z**5 + 10*z**5 + 2*z**5 + 2*z**4 - z**5 - 2*z**4 + 0*z**2 + z**5 + 0*z**2 + (-3*z + z**2 + 3*z)*(-2*z**3 - 3 + 3) - 2*z**5 - 5 + 5.\nAnswer: 2*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -772, -746, -708, -664, -620?\nAnswer: -582","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -1805 + 1809. Solve -8*d + s*g + 5 = -5*d, 2*d = -4*g - 30 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -l = 2 - 5. Suppose 2*y + 1 - l = 0. Let b = 159.3 - 159. What is the closest to y in -5, 0.4, b?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -30 (base 4) in base 5?\nAnswer: -22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*h + 3*h - 5*h)*(-1 + 0 - 1)*(0 + 0 - 2) + 176*h - 489*h - 392*h.\nAnswer: -701*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 66553431959 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-472)\/944)\/((-1)\/30)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: (2*19\/(-2))\/(2\/4*2)\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 z when three letters picked without replacement from zuzuuuuzzuuz.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 113\/10 and ((-128)\/148)\/(-5 - -7).\nAnswer: 370","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(i) = -i**2 + i + 6. Let b(x) = -x**2 + x + 6. Calculate -5*b(a) + 4*j(a).\nAnswer: a**2 - a - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Put -4, -210, -32, -6 in descending order.\nAnswer: -4, -6, -32, -210","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let x(d) = 4 - 5 + 0*d - 7*d. Let o(t) = t**3 - 4*t**2 - t - 1. Let a be o(4). Let j = -6 - a. What is x(j)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 61055108.\nAnswer: 2, 15263777","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let c(y) = 100*y**2 - 3*y. Let r(b) = -4*b. What is c(r(l))?\nAnswer: 1600*l**2 + 12*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let u be ((-6)\/5)\/((-4)\/10). Suppose u*v + 11 = -4*a, 2*v + 35 = 7*v - 4*a. Suppose 0 = 4*m + 7*m - 88. Solve i + m*o - v*o = 15, 2*i + 5*o = 20 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 670 minutes after 10:17 PM?\nAnswer: 9:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Expand (5*t - 3*t - t)*(0*t - 4*t + 5*t) + (-34 + 22*t + 34)*(2*t - t + 3*t).\nAnswer: 89*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 211 minutes before 10:19 PM?\nAnswer: 6:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 + 0 - 3*q**2)*(-11 - q**2 - q**2 + 7).\nAnswer: 6*q**4 + 12*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 0.4 - 0.2. Let i be (1 - 3) + 132\/60. Is i at least as big as c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -25578 divided by -103?\nAnswer: 25578\/103","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Determine o, given that 6*o**5 - 1172*o**4 + 43008*o**3 + 1383764*o**2 - 1905414*o + 479808 = 0.\nAnswer: -21, 1\/3, 1, 96, 119","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 1025 a factor of 289796598?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -584813, -587038, -589275, -591530, -593809, -596118, -598463?\nAnswer: -600850","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-72)\/(-6) + (1 - 3). Suppose y = 4*b + b. What is x in 6\/5*x**3 + 2\/5*x + 0 - 8\/5*x**b = 0?\nAnswer: 0, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-145)\/870)\/(3\/(-432))?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: 10\/(-4) + (-15 - 228\/(-12))\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 4 m when four letters picked without replacement from maamaaamamaaaaaaama.\nAnswer: 5\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -87\/329 - 1\/47. Put 10\/13, x, -2\/15, -1 in increasing order.\nAnswer: -1, x, -2\/15, 10\/13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 9633322 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ibbgbbhhbihbaagbgbb. What is prob of picking 1 a and 1 b?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1?  (a) -5  (b) -2\/19  (c) 414\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -2 - 35?\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3 + 22*w**2 - 75*w**2 + 27*w**2 + 22*w**2.\nAnswer: -4*w**2 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 423500 and 14036?\nAnswer: 484","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 184, 504, 824, 1144, 1464, 1784?\nAnswer: 2104","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -7596 - 1698?\nAnswer: -9072","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-131)\/262*168\/26 - -3.\nAnswer: -3\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(c) = 7*c**2 + 2*c + 7. Let t(s) be the first derivative of s**3 + s**2\/2 + 3*s - 4. What is 9*t(f) - 4*x(f)?\nAnswer: -f**2 + f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of 13, 52, 117, 208, 325?\n\"Answer: 13*f**2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Work out -48989 + 2.\nAnswer: -48987","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let a(h) = -h. Let y = -1 - 8. Let f(n) = n**2 + 3*n - 48. Let q be f(y). Let t(v) be the first derivative of v**2 + v - 4. What is q*a(z) + t(z)?\nAnswer: -4*z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from blblffllfllbb. Give prob of picking 3 l.\nAnswer: 10\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let f(a) = -4*a + 34. Calculate f(10).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let m(c) = -10*c**4 - 6*c**2 + 4*c - 4. Let k(f) = -19*f**4 - 11*f**2 + 7*f - 7. Let p(a) = -4*k(a) + 7*m(a). Find the third derivative of p(i) wrt i.\nAnswer: 144*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -p**2\/4 - 12323*p\/4 - 132010.\nAnswer: -(p + 43)*(p + 12280)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is -85.277426 rounded to 2 decimal places?\nAnswer: -85.28","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 8813*((-8)\/(-10))\/((-21)\/45). Let y be ((-3)\/(-9) - 0)\/((-2)\/k). Suppose 15*x - y = 11582. Round x to the nearest 100.\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((f\/(f*f*f*f**1*f))\/(f**(2\/9)\/f*f))**31)**(3\/4) assuming f is positive.\nAnswer: f**(-589\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 3.509906g in kilograms?\nAnswer: 0.003509906","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 63969 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.001444529997 rounded to 4 decimal places?\nAnswer: 0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-p + 87 + 2*p - 73)*(0*p + 0*p + p**3)*(p - p - p).\nAnswer: -p**5 - 14*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let n be ((-4)\/((-80)\/(-15)))\/((-6)\/14). Let m(k) be the first derivative of -3\/2*k**3 + n*k**2 - 1\/10*k**5 + 2 - k + 5\/8*k**4. Let m(j) = 0. Calculate j.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(m) = 200*m - 41. Let w be d(8). Let h = -924 + w. Does 7 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(17) - (sqrt(2448) + sqrt(2448) + 3)**2) + -2 + 5.\nAnswer: -9798 - 143*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let f(m) = -m**3 + 12*m**2 - 11*m - 9. Let a be -11 + 315\/14 + (-2)\/4. Calculate f(a).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of ((-39505)\/140*-7)\/(3\/12)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 15, -4\/5, -5, 3, 106723, -0.3, 0.4?\nAnswer: 106723","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Does 14 divide 19446?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-6)\/(-22)*21615\/(-55020))\/(8\/14)?\nAnswer: -3\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(t) = 6927*t**2 + 173*t + 19. Is i(-7) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(p) = p**2 - p - 2. Let w be j(5). Suppose 3*m - w + 3 = 0. Let o be 24\/(-60) - (-4)\/10. Solve -40 = 5*i - 2*s - 2*s, -m*i - 4*s = o for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 2 - 2. Let f = 2 + -3. Is f + (b + -1 - -34) a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(u) = 8*u + 7. Let v = 2 - -4. Let w(i) = -7*i - 6. Calculate v*w(h) + 5*a(h).\nAnswer: -2*h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*v - v = 12. Let a = v + 6. Solve -25 = -2*i - a*i for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 48\/7 - 3*t**2 + 3\/7*t**3 + 24\/7*t.\nAnswer: 3*(t - 4)**2*(t + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 7 + -5. Suppose m*k + 15 = 47. Solve -2*i - 30 = -5*h, 0 = h + 3*h - k for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 7010 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of 1004, 1955, 2906, 3857, 4808, 5759?\n\"Answer: 951*y + 53","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 27895 and 280?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 113160396 to the power of 1\/3, to the nearest integer?\nAnswer: 484","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -2.9 + 0.7. Let k = s - -1.1. Let d = k + 0.1. Put d, 3\/8, -4 in descending order.\nAnswer: 3\/8, d, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*b**2 + 36*b + 38.\nAnswer: -2*(b - 19)*(b + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*h**2 + h**2 - h**2)*(2*h**2 - 3*h**2 - h**2) - 301*h**4 + 299*h**4 + 0*h - 2*h - 10*h**3.\nAnswer: -6*h**4 - 10*h**3 - 2*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: (-39 - -39 - -30) + -39\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let l(k) be the third derivative of k**6\/10 + 11*k**3\/6 + 2*k**2. What is the first derivative of l(u) wrt u?\nAnswer: 36*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5101*b - 20 = 5121*b. Put 5, -61, 4, -15, b in descending order.\nAnswer: 5, 4, b, -15, -61","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(l) = l**3 + l - 4. Suppose -5*k - 2 = 14*f - 18*f, 0 = -3*f + 9. Let s(b) = 2*b**3 + b - 5. What is k*s(m) - 3*a(m)?\nAnswer: m**3 - m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -3\/31 - 87\/62. Let h = 1774 + -1776. What is the second biggest value in l, 0.11, -2\/15, h?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 2\/8159143 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -17\/77 + 184\/231. Calculate the common denominator of v and 91\/54.\nAnswer: 594","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -59 = v - 71. What is the least common multiple of v and 4?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 2544 + -7501\/3. Is x smaller than 43?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 9827184?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: -125 - (110 - 5437796\/23140)\nAnswer: -2\/445","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(a) = -2*a + 5. Suppose 0 = -4*p + 6*p - 2. Let q = 218 - 222. Let o be 2\/(q\/8 + p). What is d(o)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*j = 4*y + 30, -j - 4*j - 10 = 0. Let i be 45\/y*260\/(-15). Suppose -i = -11*r + 6*r. Is 13 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(n) be the first derivative of 3*n**4 + n**3\/3 - n - 1. Let f be p(1). Suppose -120 = -29*c + 24*c. Calculate the highest common factor of c and f.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 10641 and 147.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {h: 2, b: 4, s: 2, q: 3}. Give prob of picking 1 h and 1 s.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (-10)\/(-25) + (-1)\/((-5)\/(-392)). Let j be (c\/(-18) + -5)*(-6)\/4. What are the prime factors of j\/2*(8 + 144)?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 14 a factor of 338?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 26\/16881 and 2\/6477.\nAnswer: 2143887","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 74498467 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 1136?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 90 = 13*t - 4*t. Let s be (1 - (-2)\/(-5)) + (-6)\/t. Is s less than or equal to -2\/13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 9 - (-301)\/(-35) - 13\/(195\/(-144)).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(i) be the second derivative of 0 - i - 1\/2*i**2 + 1\/20*i**5 - 3\/4*i**4 + 1\/6*i**3. Let r be h(9). Solve 3*n + r = -7, 0 = -2*l + 5*n + 15 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (239 + -239)\/((-12)\/2).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 46225091 to the power of 1\/2, to the nearest integer?\nAnswer: 6799","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth biggest value in -57\/4, 1, -0.459, -3, 1\/5?\nAnswer: -57\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 15 - 7. Suppose -4*c + j + 4 = 0. Let u(x) = -13*x + x + c*x. Let w(q) = 2*q. What is w(u(g))?\nAnswer: -18*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 1187684?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 390 - 261. Let o = -129 + p. What are the prime factors of 2 + -6 + 3 - (o + -48)?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 8 - (3 - 2) - 3 - -4?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 2047 + -2087. What is the third smallest value in g, 0.3, -5, 3, 1?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 21 - 7. Is p >= 13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -1464\/11 - -21938\/165. Let n be (1\/(-2))\/(0 + -1). What is the third smallest value in -0.05, x, 1, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 8\/64*8*1.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -10*(252\/189)\/(2\/((-12)\/(-10)))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 0.5 + 1.5. Let d = -9.4 + -259.6. Let i = -266 - d. Which is the third biggest value?  (a) o  (b) i  (c) 0.04\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (32\/(-10))\/(8\/(-20)). Suppose 0 = 3*l - x*l + 190. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (a\/a**(-2\/15)*a*a)\/a**(-2\/5)*a**3*a**(2\/7) assuming a is positive.\nAnswer: a**(716\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let y(k) be the third derivative of k**5\/60 + 16*k**2. Let p(h) = -47*h**2. What is p(y(q))?\nAnswer: -47*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Put 0, 3\/8, 0.06 in increasing order.\nAnswer: 0, 0.06, 3\/8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 140\/(-80)*(8 - 0\/(-1)). Let i(t) = -38*t + 124. What is the hundreds digit of i(x)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -9.171 and 168?\nAnswer: -1540.728","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {y: 3, k: 5, d: 2, x: 2}. What is prob of picking 3 y?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let v(h) = h**2 - 3*h - 3. Let t(z) = 2*z - 6. Let m(k) = -k + 5. Let a(w) = 4*m(w) + 3*t(w). Give -3*a(u) - 2*v(u).\nAnswer: -2*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -29124*j**2*l**3 - 14*j**2*l - 98*j**2 + 3*l**2 wrt l.\nAnswer: -174744*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: -13 divided by -7477269\nAnswer: 13\/7477269","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let b(t) = 7*t**2 - 3*t. Let j be b(1). Suppose j*a + 30 = -2*a. Let w(c) = c**3 + 6*c**2 + 3*c - 5. Give w(a).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 r and 1 j when two letters picked without replacement from {o: 2, v: 4, j: 2, e: 3, q: 2, r: 1}?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -7268 and -5.\nAnswer: 36340","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let a(o) = 66*o - 1. Let g(w) be the third derivative of -7*w**4\/24 - 717*w**2. Determine a(g(c)).\nAnswer: -462*c - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let c(h) = -h**3 - 7*h**2 + 9*h + 8. Let w be c(-8). Suppose w = -3*m + 417 + 144. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 105313 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: -8 - (0 - 3) - (-1 + -3)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 2608?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -20 + 22. Suppose -4*f - 14 = -3*f + 4*l, 16 = -f - w*l. Let d = f + 78. Is 9 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0 + -2 + (9 - 2).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let f(i) = -9*i - 2. Let q = -839 + 1009. Calculate the remainder when q is divided by f(-5).\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 14067 is divided by 201?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Does 31 divide 341?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let f be ((-10)\/12)\/(((-35)\/(-21))\/(-5)). Let l(i) be the first derivative of 0*i - 1 + 1\/3*i**3 + f*i**2. Find the second derivative of l(j) wrt j.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -120.66, 5, -1?\nAnswer: -120.66","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (l\/l**(-6))\/(l*l**(2\/7))*(l\/l**(-1))\/(l**(3\/7)\/l) assuming l is positive.\nAnswer: l**(58\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 220\/55*5\/(-4)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is -0.45 at least as big as -470.48?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from bbdqffqqqfffffbffbqz. What is prob of picking 2 f and 1 b?\nAnswer: 12\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 144 and 2484?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Sort -34, 5, -1, -5, 1975 in decreasing order.\nAnswer: 1975, 5, -1, -5, -34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 2 - 4. Let h be (-1)\/x*(-6)\/(-1). Let n(d) = -4*d + 3 + h*d**2 + 4*d**2 + 3*d**2 - d**3 - 5*d**2. Determine n(4).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*f = -66 + 54. What is the smallest common multiple of f and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((u\/(u\/u**(-2\/25)*u))\/u)**(2\/7))**(7\/5))**(-40) assuming u is positive.\nAnswer: u**(832\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let k(t) = -2*t**2 + 11*t - 2. Let i be k(5). Calculate the least common multiple of ((-3)\/i)\/(3\/(-48)) and (15\/(-5) - 9)*18\/(-27).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*o = 2*f - o - 108, 4*f + 2*o - 240 = 0. Let l(t) = t**3 - 13*t**2 + 22*t + 22. Calculate the remainder when f is divided by l(11).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 30*f - 115\/4 - 5\/4*f**2.\nAnswer: -5*(f - 23)*(f - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -1092346191*r*y - 280449234*r wrt y?\nAnswer: -1092346191*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.2700545 litres to millilitres.\nAnswer: 270.0545","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 38 - 3. Let g be (-6)\/(-9) + 362\/6 + 2. Calculate the greatest common divisor of n and g.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -2*(423\/90 - 5).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Does 61 divide 2310?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 6121 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6 = -5*n + 66. Let v = -8 + n. Suppose 78 = 2*k - v*y, 5 + 4 = 3*y. What are the prime factors of k?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -1 - 82*p + 169*p - 67*p in the form y*p + n and give y.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 10693 + -10684. Suppose 0 = -3*h + 16 - 1. Calculate the lowest common multiple of f and h.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.000043014 to 6 decimal places.\nAnswer: -0.000043","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let u(v) = -38*v. Let h(a) be the second derivative of -13*a**4\/6 - 640*a. Give h(u(j)).\nAnswer: -37544*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 228\/44 + (-2)\/11. Suppose -d*h + 10 + 0 = 0. Solve 5*f + 18 = -h for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -3347\/305 - 26\/61. Which is the biggest value?  (a) -5\/4  (b) f  (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 3*g**3 - 2*g**4 - 30*g**2 + 32*g**2 + 0*g**4 - 3*g**4 to p*g**3 + z*g**2 + n*g**4 + i*g + o and give z.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4 + 2 = 5*o + 4*q, 5*q = -4*o + 3. Let i = -21 + 30. Let u(b) = b**2 + 8*b - 11. Let m be u(-10). Solve -3*g + i = -3*a, g = -2*g - o*a + m for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((i\/(i*i*i*(i**(-3\/10)*i)\/i*i))\/i**6)\/(i\/(i\/i**(-10)*i))**7 assuming i is positive.\nAnswer: i**(683\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*o = -o + 2*i + 362, 5 = -5*i. What is the tens digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(z) = -5*z**2 - 2. Let i(a) = a. Determine i(c(s)).\nAnswer: -5*s**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 1644 + 24 + 1246 + 984*v**4 - 349 - 2*v wrt v?\nAnswer: 3936*v**3 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -5 by -1490.\nAnswer: 1\/298","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 1\/4  (b) 19\/9  (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Express 52774*t**2 - 105668*t + 105668*t - 18777*t**2 in the form v + h*t + p*t**2 and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 154*o - 30*o - 496 = 0. Let f(p) = p + 1. Let x be f(6). What is the first derivative of o*j - x*j + 0*j - 3 + j wrt j?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(t) = -t**2 + 416*t - 1632. Let p be s(4). Solve 5*g - 10 = d + 11, 3*g = 4*d + p for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -397\/7 - -57. Is -0.6 bigger than k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(i) = 10*i - 124. Let n be j(12). Let t(u) = 10*u**2 - 10*u + 2. Let q(r) = r**2. Let y(m) = n*q(m) + 2*t(m). Factor y(o).\nAnswer: 4*(o - 1)*(4*o - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -20 + 22. Let r(k) = 0*k**y + 9*k**2 - 9*k**2 + 9*k**2. Let g(f) = -2*f**2. Calculate g(r(a)).\nAnswer: -162*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from elkvl. What is prob of picking 1 e and 1 k?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let c(s) = 3*s**3 + s**2 - s + 2. Let x be c(0). What is the derivative of 47*f - 47*f + 11 + 11 - 22*f**x wrt f?\nAnswer: -44*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 7618683?\nAnswer: 3, 1237, 2053","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*f - 6 = 2*b, -16*b + 33 = -28*f + 23*f. Solve 56*x = 3*n + 57*x + 1, 0 = f*n - 3*x - 15 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(t) = 5*t**2 + 3*t - 1. Let o(j) = -j**3 - 5*j**2 + j + 8. Let c be o(-5). Let a(l) = -l**2 - l + 1. Give c*a(s) + q(s).\nAnswer: 2*s**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-8)\/320*-8 + 51\/(-30).\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 5?  (a) -5  (b) 2  (c) -3.3  (d) -1\/6  (e) 4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 8\/3 + 0 - (-24)\/72. Solve -6 = -3*u - q*r, -2*u - 5 = -3*r + 11 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -55*i - 300 = 45*i for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 138 - 108. What is the least common multiple of 15 and r?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 506912 to the power of 1\/2, to the nearest integer?\nAnswer: 712","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 37636241 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let q(y) be the second derivative of -2*y**6\/15 + 46*y**5\/5 + 328*y**3 + 2*y - 42. What is the second derivative of q(n) wrt n?\nAnswer: -48*n**2 + 1104*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of 6, 9, 12, 15, 18?\n\"Answer: 3*b + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*p - 15 + 85 = 0. What is the lowest common multiple of 10 and p?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 15.23 + -15. Let n = x - -0.37. Which is the closest to -1\/6?  (a) n  (b) -0.3  (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 6*-20\nAnswer: -120","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let q(m) = m + 28. Let k be q(0). Suppose -2 = -5*v + k. Let g be ((-3)\/(v\/(-4)))\/((-3)\/(-6)). Solve 1 + 7 = o + g*s, 4 = -5*o + 2*s for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(h) = -h**2 - 5*h + 92. What are the prime factors of x(0)?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -104*c**2 + 403*c**2 + 86*c**2 in the form g*c**2 + q + a*c and give g.\nAnswer: 385","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve 150555*z - 115477 = 147434*z for z.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of -10, -19, -28, -37, -46, -55?\n\"Answer: -9*m - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:35 PM and 12:22 AM?\nAnswer: 587","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from bbbnbnbbbnbbbn. What is prob of picking 3 n?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-31976)\/(-224)*8\/(-6). Which is smaller: -191 or w?\nAnswer: -191","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-4 + sqrt(1568))**2.\nAnswer: -224*sqrt(2) + 1584","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: -cc4 (base 16) to base 14\nAnswer: -1296","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Add 0.1 and -3691760432.875.\nAnswer: -3691760432.775","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 o when two letters picked without replacement from offfgoffvvf?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -2*k**2 + 6817985*k + 21590320 wrt k.\nAnswer: -4*k + 6817985","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let h(c) = -5*c**2 - 93714 + 93714. Let s(p) = -99*p**2 - p. What is s(h(u))?\nAnswer: -2475*u**4 + 5*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*o - 104 = 4*d, -30*o + 98 = 2*d - 34*o for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -8*t + 8*t + 333*t**3.\nAnswer: 333*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4603*u = 18806*u - 1505518 for u.\nAnswer: 106","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -168 = -5*x + 8*x. Let z be x\/6*(-9)\/6. Find the first derivative of 8 - z*m**2 + 6 - 9 + 6 wrt m.\nAnswer: -28*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -2*g**4 + 9952*g + 6383 wrt g.\nAnswer: -8*g**3 + 9952","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -0.5412 + 0.0302. Let u = 2.109 - 2.12. Let c = u - b. Put -0.1, c, -0.5, 1\/9 in decreasing order.\nAnswer: c, 1\/9, -0.1, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -1.90774439 to 1 dp.\nAnswer: -1.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 9730?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 11659, 23415, 35323, 47449, 59859?\nAnswer: 72619","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3361?\nAnswer: 3361","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1989*o + 62718 = 20949 for o.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*y - 5*c + 13 = 0, 3*c = -5*y + y + 11. Suppose y*g = 2*l + 100, 5*g = 2*l + 373 - 114. What is the tens digit of g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(g) = 33*g**2 - 11*g**2 - 33*g**2. Let o(b) = -16*b. Determine m(o(q)).\nAnswer: -2816*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 4222 + 1355. Is 95 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.00004246448474 to 5 dps.\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:52 AM and 10:16 AM?\nAnswer: 264","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 2\/17  (b) 1  (c) -13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Factor -a**5\/5 + 139*a**4\/5 - 1296*a**3 + 102856*a**2\/5 - 59248*a\/5 - 584016\/5.\nAnswer: -(a - 46)**3*(a - 3)*(a + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 5 + 0*5\/(-10). Suppose -3*a + 321 = b*c, 2*a - 123 = -2*c - a. What are the prime factors of c?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -1150318*l**5 - 1531601*l**2 wrt l.\nAnswer: -69019080*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8 = -4*g - 0. Suppose -4*l - 6 = g. Let k(w) = -w**2 - 2. Give k(l).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*u - 4*u + 24 = 0. Let r = u + -7. Which is greater: -2\/25 or r?\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 998000 rounded to the nearest ten thousand?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is -478.08 rounded to the nearest 100?\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (5\/20)\/(3\/36). Find the second derivative of 150*r - 4*r**2 - q*r**2 - 152*r wrt r.\nAnswer: -14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (0 - 3) + (2 - -3).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Factor d**3\/4 - 47*d**2\/2 + 735*d - 7650.\nAnswer: (d - 34)*(d - 30)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 576 minutes before 7:18 PM?\nAnswer: 9:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((3\/(-9))\/(15\/9))\/(-1).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 44.54 - 45. Round l to one decimal place.\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 20 = -4*y - 3*w - 14, -2*y = -5*w + 4. Let k = y - -5. Let h be (26\/1)\/(0 - k). Solve 0 = 2*z - 3*g + h, -5*z - 15 = g + 9 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(g) = -504*g - 22768. Give z(-45).\nAnswer: -88","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 297 + -39. Let z = 442 - x. What is the highest common divisor of z and 23?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.15803 to three dps.\nAnswer: -0.158","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (p*p**(4\/5))**(15\/11) assuming p is positive.\nAnswer: p**(27\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 1884 and 2826.\nAnswer: 5652","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 139221756 divided by 4?\nAnswer: 34805439","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -j + 14 = 4*f, j + 2*f = -3*j + 14. Suppose 2*k = -j*k. Is k at most as big as 6\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(y) be the third derivative of -y**4\/24 + 3*y**2. Let v(u) = u**2 + 9*u + 6. Let c(f) = b(f) + v(f). What are the prime factors of c(-8)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: 1a7 (base 15) to base 4\nAnswer: 11332","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: 0.12521324 * -3\nAnswer: -0.37563972","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let s(w) = -8*w**3 - 35*w + 22*w + 10*w**3 - 16 + 12*w + 18. Suppose 3*y + 4 = -2*m, 5*m + y + y - 1 = 0. Determine s(m).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of 21, 729, 1909, 3561?\n\"Answer: 236*p**2 - 215","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*c**5 + 38230*c**4 - 229715*c**3 - 1185940*c**2 + 918780*c + 4132080 = 0. What is c?\nAnswer: -7652, -3, -2, 2, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -10 + 16. Suppose -297 = -l*b + 3*b. What is the remainder when b is divided by 34?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -312 - -526. Let l = c - 329. Let w = 114.99999947 + l. Round w to 7 dps.\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*g + 6 + 10. Suppose 0 = 4*u - 0*u - 188. Suppose -g*w = 12, 3*r - 5*w = -r + u. Solve r + 7 = 3*c + p, 0 = -3*c - 5*p + 15 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-1 - 8) + -1 - -1.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let t(s) = s**3 - s**2 + 156*s + 157. Let d be t(-1). Which is greater: d or -63\/43?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many years are there in 1\/5 of a decade?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 82\/9 - (-8)\/(-72). Let j = q - 9. Solve j*a = 2*a - 4 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of 187831, 187824, 187817, 187810, 187803, 187796?\n\"Answer: -7*j + 187838","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Express i**2 + 31*i - 1325*i**3 + 16*i**4 - 2 + 2629*i**3 - 4*i - 1303*i**3 as m*i**4 + u*i + w*i**2 + v*i**3 + h and give w.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Divide -71620 by 14.\nAnswer: -35810\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -44*o - 25*o**2 + 4*o**3 + 19*o**3 - 7*o**3.\nAnswer: 16*o**3 - 25*o**2 - 44*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 112 and 112?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -82\/21 and 17\/84.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 0 - -2. Let o = -226892\/21 + 10805. Is o at most z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-12 + (3640\/39)\/8)\/((-364)\/(-357) + -1)\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2 - 1 - (0 + 0 - -5).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 2490 and 90?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1788?\nAnswer: 2, 3, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -7 + (10 + 1 - -1).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 4386 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 12 - 10 = d. Let m(f) = -13*f**3 + f. Let q be m(1). Let r be 2\/(-4) + 30\/q. Put r, 5, d in decreasing order.\nAnswer: 5, d, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 68665.74 + -68711.74037. Let t = n - -46. What is t rounded to four decimal places?\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 141413745, 141413721, 141413683, 141413625, 141413541, 141413425, 141413271?\nAnswer: 141413073","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 832974605?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Does 532 divide 44112082?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*m = -5*m + 9. Let j(h) = -h**2 + 4*h + 1. Let o be j(m). Suppose 4*y - o = 12. What is the units digit of y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of ((-2 - 4) + (-663)\/(-108))*57 and (2\/(-103))\/((-36)\/(-117)).\nAnswer: 1236","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (10 + -9)\/((-1)\/4)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 125\/4671702 and -17\/39258?\nAnswer: 4671702","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 22 - 20. Solve -3*k + 2*k - r - 6 = 0, -2*k = -f*r for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(m) be the third derivative of 1\/24*m**4 + m - 20*m**2 + 0 + 4\/3*m**3. Determine r(-7).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 230*a**6 + 16*a**4 + 13*a**3 + 6830171*a**2.\nAnswer: 27600*a**3 + 384*a + 78","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*m + 2*o + 30 = 0, 0*o = 4*o. Let h be (-2 + 0 - 7)*5\/m. Solve -8 = 2*w + 2*q - 7*q, -4*w + h*q - 2 = 0 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 564302 or 564303?\nAnswer: 564302","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of 234, 788, 1664, 2862, 4382, 6224, 8388?\n\"Answer: 161*z**2 + 71*z + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Does 401 divide 258813998?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*n + 28 = f, 4*f - f + 2*n = 19. Let z be (-3)\/(-6)*28 - 3. Solve 2*k + f*b = -2 - 1, z = -2*k + 5*b for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence lln when three letters picked without replacement from lmqlmmqlmnlqm.\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*f - 1 + 3, 3*u + 5*f + 4 = 0. Let a(k) = -33*k + 42. Let v(n) = -16*n + 21. Let i(m) = u*a(m) + 5*v(m). What is the tens digit of i(4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.00003839628 to 5 decimal places.\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -655 - -669. Calculate the remainder when 93 is divided by c.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(y) be the third derivative of -y**4\/2 + 11*y**3\/6 - y**2. Let o(q) = 2182*q - 44. Let m be o(0). Let l(w) = w - 1. Give m*l(f) - 4*z(f).\nAnswer: 4*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 z and 1 j when four letters picked without replacement from {w: 1, f: 2, z: 3, j: 1, b: 4}?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 801769 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5 = -5*n, 6 + 0 = 4*g + 2*n. Let u be (-2)\/4 - (-38)\/(-4). Let m be 22\/u + -3 + 5. Which is smaller: g or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.00000047886267 to 7 decimal places.\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*j = 5*j - 6039. List the prime factors of j.\nAnswer: 3, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 2718 - -12901. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 5*l**3*p + 23*l**3*t - 18*l*p + 7*p**2*t - 4*p**2 + 549*t wrt p?\nAnswer: 5*l**3 - 18*l + 14*p*t - 8*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 232498*a + 559233*a + 498361*a + 413283*a.\nAnswer: 1703375*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence uuyy when four letters picked without replacement from {u: 2, y: 6}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 4797 - 4793. Let x = -2 + 4. Suppose -x*m + h + h + 7002 = 0, 4*m + f*h - 13996 = 0. What is m rounded to the nearest 1000?\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of (-8)\/(4800\/2324) - (-2 - 2) and -74\/75.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -48258.11 - -741.8?\nAnswer: -47516.31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 3 - ((-2)\/3)\/(220\/(-6831)). Which is smaller: o or -18?\nAnswer: -18","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(u) = u - 10. Let m be t(0). Let z be 19\/m + 6\/4. Let y = -0.08 - 3.92. Which is the third smallest value?  (a) z  (b) y  (c) -1\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(l) = -l**3 - 6*l**2 + 8*l + 3. Let h be d(-7). Let w(q) = 7*q + 5. Let a(r) = 3*r + 2. Let s be (-42 - -9)*(-9)\/33. Determine h*w(n) + s*a(n).\nAnswer: -n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in three eighths of a litre?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 245034 is divided by 183?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*t**4 + 388*t**3 - 1976*t**2 + 2780*t - 1194.\nAnswer: 2*(t - 3)*(t - 1)**2*(t + 199)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*k = 3*b - 13*k - 28, 3*k - 12 = 0. Solve b*n + 5 = 17*n for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 91 a factor of 5835557?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let s(l) = 740*l + 11561. What is s(-16)?\nAnswer: -279","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (2 - 2 - 3)*(-315*q + 752 - 752) to the form d + v*q and give v.\nAnswer: 945","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 1648 and 32?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: 0.5 * -4\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 23014 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: How many minutes are there between 5:27 AM and 6:55 AM?\nAnswer: 88","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2331*y**3 - 4666*y**3 + 2334*y**3.\nAnswer: -y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 234, 953, 2150, 3825, 5978, 8609, 11718?\nAnswer: 15305","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: 0.2*-0.057633\nAnswer: -0.0115266","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((n\/n**(2\/23))**(-3\/13))**34 assuming n is positive.\nAnswer: n**(-2142\/299)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2847*p + 39483 + 189722 = -46954 for p.\nAnswer: 97","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: 1 + 0 - (32 + -31 + 5) - -9\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 139*u - 2*u**3 - 137*u - 466*u**2 - 320 + 318 + 4*u**3 to the form k*u**3 + f*u**2 + h + d*u and give k.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 4913 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 146 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -1998, -4004, -6022, -8058, -10118, -12208?\nAnswer: -14334","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let a(u) = -5*u**2 + 4*u + 17. Let b(p) = -14*p**2 + 11*p + 51. Let t be (-2)\/(-18) - (-23)\/(2691\/923). Determine t*a(y) - 3*b(y).\nAnswer: 2*y**2 - y - 17","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-3)\/(-4) + (-2)\/(-8). Let s(j) be the third derivative of j**4\/12 + 2*j**3\/3 + 37*j**2. Let l(m) = -1. What is y*s(d) + 4*l(d)?\nAnswer: 2*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let n(r) = -3*r**2 + 67*r - 387. Determine n(11).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let s(h) = h - 2. Let c = 9 - -3. Let z be s(c). Let u = 19 - z. Is u a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1219 - 363 = 4*k. Suppose -4*a = -k - 50. Let s = a + -29. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 2 - -101?\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 x and 1 f when two letters picked without replacement from {d: 5, f: 3, o: 6, x: 1}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.1 in -0.2, 2, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 12 - 10 - (5 + 2 + -4)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Round 2461804.89 to the nearest one thousand.\nAnswer: 2462000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: How many kilograms are there in 80105.62ng?\nAnswer: 0.00000008010562","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let u(y) = -4*y**3 + 5*y**2 + 22*y - 4. Give u(3).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 88 and 118?\nAnswer: 5192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-11 - -22) + (-1 - 2).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let a(k) = 4*k - 30*k**2 + 2 - 1 + 36*k**2. Let p(f) = -7*f**2 - 5*f - 1. Give 6*a(o) + 5*p(o).\nAnswer: o**2 - o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-26)\/4*2*-1. Let s(u) = 5*u**2 + 6*u - 14. Let j(z) = 11*z**2 + 12*z - 29. Let q(t) = h*s(t) - 6*j(t). Give q(4).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {i: 1, m: 14}. Give prob of sequence immm.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve -x + 25 = -12*u - 16*u + 23*u, -9*u - 9 = -9*x for u.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 6 - 9. Let t be 6*((-21)\/(-6) + v). Does t = 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 11\/1575 and 67\/1935.\nAnswer: 67725","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of ((-62)\/(-8) - (-1)\/4)*(-103129)\/(-26)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 35 - 10. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 36*c + 644 = 72*c - 112 for c.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 57282 + -57280. Let p = -1 - -1.3. Let o = -0.05 - 0.45. Sort m, o, p in decreasing order.\nAnswer: m, p, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 168 = -a + 5*a. Let j be ((-44)\/(-3))\/11*(-6)\/(-4). Suppose j = 2*l - 10. What is the highest common divisor of l and a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 47504675 to the nearest integer?\nAnswer: 362","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-2*q**2 + 3*q**2 + 22*q**2)*(-q + q - q) + (1 + 0 - 2)*(-3*q + 3*q - q**3) to the form k + y*q**2 + i*q**3 + p*q and give i.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -2477 - -2491. What is the highest common factor of 146 and w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 484.621530027 - 95.621531817. Let k = z - 389. Round k to seven dps.\nAnswer: -0.0000018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 111 + -31. Let u = -75.97 + a. Let v = 0.03 - u. Sort 0.5, v, 3\/5 in increasing order.\nAnswer: v, 0.5, 3\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 787.1 + -792.1. Let z = -0.29 - 0.01. What is the nearest to -3\/2 in -0.2, z, k?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 628367?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 4.3839526 minus 1893?\nAnswer: -1888.6160474","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -10 - -1100110011011010111110?\nAnswer: 1100110011011010111100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 2*m**3*w**3 - 71807582*m**3*w**2 + 297905*m**3*w - 905*m**2*w wrt w.\nAnswer: 12*m**3*w - 143615164*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 3 - -6?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*h**2 + 168*h + 1472.\nAnswer: -2*(h - 92)*(h + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let a be ((-2)\/15)\/((-2)\/(-10)). Let x = 544 + -4894\/9. What is the closest to a in x, -0.2, 3\/2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -8 by 6568.\nAnswer: -1\/821","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let h(n) = -2*n**2 - 9*n + 10. Let g(m) = -m**2 - 4*m + 5. Let k(r) = 11*g(r) - 6*h(r). Is k(-14) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 5457?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1 + 4 = h. Let u(n) = n**2 - n + 1. Let l be u(2). Let o(x) = -12*x**h + 6*x + 1 + 0 + 11*x**l + 5*x**2. Give o(6).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:56 AM and 10:13 PM?\nAnswer: 677","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 18 + -15. Solve w + 0 + 1 = 0, p + i*w + 7 = 0 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(b) = -6 - 2*b - b + 9 + 3. Suppose 0 = -3*k + k - 2*l - 2, 0 = k - 4*l - 14. Let y be k\/8 + (-76)\/(-16). Calculate v(y).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10*a + 14*a = 16. Suppose 13 - a = j. What is the tens digit of (15\/j - 2)*-93?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 6.572 to the nearest integer.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 4318 - 4318.00006418. What is s rounded to five dps?\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2217471.04998 + 5.\nAnswer: 2217476.04998","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let v be ((-160)\/(-12))\/((-10)\/(-12)). Let n be (2 + 2)*2\/4. Suppose -20 = -n*u - 3*u. Solve u*j = -2*g - v, j - 7 = 5*g - 0 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 2273, 4509, 6721, 8897, 11025?\nAnswer: 13093","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let f(j) = j**3 + 3*j**2 + 4*j + 3. Let h be f(-2). Let i(n) = -n**3 + n**2 + n + 1. Let q be i(h). Suppose a**2 - a + a**q - 4*a**2 - 3*a - 2 = 0. Calculate a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 578 - 148 = -2*y. Let v be y\/(-25) + (-2)\/(-5). Let r(p) = 2*p**2 - 15*p + 21. What are the prime factors of r(v)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -9 - 61*y**2 + 18*y**3 + 3 + 8 + 86*y**2 in the form j*y + g*y**3 + l*y**2 + d and give l.\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -9042, -18104, -27190, -36312, -45482, -54712, -64014?\nAnswer: -73400","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from ddllzxlzqxddxqdqzl. Give prob of sequence xdl.\nAnswer: 5\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 427 and 8015?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Express (6 - z**2 - 6)*(z - 2*z - z) - z**3 - 2*z**3 - 2*z**3 in the form j*z**3 + k*z**2 + v + u*z and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Put 4, 5, -0.3, 284, -5\/2, -3\/25 in descending order.\nAnswer: 284, 5, 4, -3\/25, -0.3, -5\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -3403.5 and 2?\nAnswer: -6807","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Factor -47*g - g**3 - 4*g**3 - 30*g**2 - 13*g - 40.\nAnswer: -5*(g + 2)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -q + 1 + 19. Let a(u) = -3*u - 7. Let x be a(-5). Calculate the highest common factor of q and x.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 527 is divided by 163?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 65322458 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: Suppose 2*m + 6 = -4. Let y be -38*m\/4*2. Let s be (-4)\/(-6)*567\/18 + -2. What is the greatest common factor of s and y?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(f) = 5*f**2 - f - 3*f**2 + 5*f**2 - 3 - 3*f**2 - f**3. Let w be y(3). Suppose w*b = 7*b - 48. Is 12 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*i + 106 + 182 = 0. Let g = -15 - -27. Calculate the greatest common divisor of i and g.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*q + 4*q + 0*q)*(0*q + q + 0*q)*(-2*q + 5 + 5 - 8)*(-5*q - 3*q + 0*q).\nAnswer: 96*q**4 - 96*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 29.1794 rounded to two dps?\nAnswer: 29.18","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 592, 594, 596?\nAnswer: 598","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Express -20*u + 35*u + 21*u + (-3*u + u + u + 3*u - 4*u - u - 3*u + 5*u - 3*u + (2 - 3 + 3)*(0 + 2*u + 0) + 3*u + 0*u - 2*u)*(5 - 2 - 2) as b + q*u and give q.\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((u\/(((u\/(u*u**(-1\/2)))\/u)\/u))**34)**(3\/41)*((u\/(u*u*u**0*u))\/u)**50\/((u\/u**(4\/3)*u)\/(u*u**(-6)*u)) assuming u is positive.\nAnswer: u**(-18259\/123)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Does 166 divide 43788808?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-8)\/360)\/((-216)\/(-5832)).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 322 minutes after 7:21 PM?\nAnswer: 12:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -27*b**3*y**2 - 4*b**3*y + 12*b**2*y**2 - 71*b**2*y wrt b?\nAnswer: -162*y**2 - 24*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 11449161.\nAnswer: 3, 67, 6329","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 61884 (base 14) in base 3?\nAnswer: 102221020220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let a(h) = -6*h + 12. Let t be a(-3). Suppose 0 = -3*o + 2*d + 8 + 12, -5*d = -5*o + t. What is the second derivative of o*z**2 + 16*z**2 - 20*z + z**2 wrt z?\nAnswer: 50","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 11540 rounded to the nearest one hundred?\nAnswer: 11500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -17 - -13. Let z = -9 - j. Which is bigger: -4 or z?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 1\/41 + -43\/82. Let u = 7.8 - 8. What is the biggest value in 0.2, b, u?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*k = -0*k + 21. Let h(t) = -t + 10. Let a be h(k). What is the greatest common divisor of 24 and a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 7*m - 2 + 13*m - 2*m.\nAnswer: 18*m - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let t(q) = 28 - 9*q - 26 + 12*q. Let h(b) = -7*b - 4. Give 3*h(l) + 5*t(l).\nAnswer: -6*l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1549?\nAnswer: 1549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 34721 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 211 minutes after 10:35 AM?\nAnswer: 2:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 233 divided by 3.\nAnswer: 233\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 616 minutes before 8:56 PM?\nAnswer: 10:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let b(n) be the third derivative of -3*n**2 + 1\/8*n**4 + 0*n - 1\/32*n**6 + 3\/40*n**5 + 0 - n**3 + 1\/280*n**7. Factor b(g).\nAnswer: 3*(g - 2)**3*(g + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 92415 and 732?\nAnswer: 369660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 33144\/10 - (-4)\/(-10). Suppose 122*c - 124*c + w = 0. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 274213 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: How many hours are there in 13\/4 of a week?\nAnswer: 546","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 277 + 6*k - 277.\nAnswer: 6*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 466 minutes before 2:05 PM?\nAnswer: 6:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 3099095369 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*a - 157348 = -4*j - 157352, -j = -a + 5 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (w*w\/w**(5\/6))**(-8\/7)*((w\/(w*(w*w**(1\/25)\/w)\/w*w))\/w*w)\/w**22 assuming w is positive.\nAnswer: w**(-1753\/75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let d(v) = -2*v**3 + 8*v**2 + 108*v - 237. Calculate d(2).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 2042148 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: What is prob of picking 3 w when three letters picked without replacement from {w: 9, k: 10}?\nAnswer: 28\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve -209*c**4 - 13520 + 1598*c**2 - 498*c**2 - 122*c**3 - 11128*c + 211*c**4 + 1168*c**2 = 0.\nAnswer: -1, 10, 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 2\/(2\/3) + -1. Suppose 3*i - 176 = v*i. Suppose -7599*b + 7569*b + 480 = 0. What is the highest common divisor of i and b?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 12.4, -1\/10, 2 in decreasing order.\nAnswer: 12.4, 2, -1\/10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 20988.\nAnswer: 2, 3, 11, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((d**3*d*d)\/(d\/d**(2\/5)))\/(d**2\/d**(2\/11)) assuming d is positive.\nAnswer: d**(142\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2 + 2*(sqrt(38)\/sqrt(2))**2 + 1.\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let m(q) = -4*q + 4*q + 3*q**2 - q**2. Let y(v) be the first derivative of -v**3\/2 + 22*v - 2. Let k(w) be the first derivative of y(w). Determine m(k(j)).\nAnswer: 18*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"}
{"text":"Question: What is 5150 divided by 52857?\nAnswer: 5150\/52857","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 244 a factor of 68564?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 0.7, 2\/7, 1341, -1, 1\/4?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 58*d + 29127 = 567*d + 334*d + 544*d for d.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Put -4, 1\/2, 71 in increasing order.\nAnswer: -4, 1\/2, 71","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 529600 and 6400.\nAnswer: 2118400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 129 and 2537.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 87159010?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Round -313019220 to the nearest ten thousand.\nAnswer: -313020000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 3493956 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let h be -1*(-1)\/(-1)*0. Let d be 255\/6 - 2\/(-4). Let s = d + -43. Solve h = -j + 4 - s for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth biggest value?  (a) 2  (b) -2\/5  (c) -0.297  (d) -1\/7  (e) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -1 - (-3 - (-1 - -1)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 168 + 124. Suppose c + 4*q - n = 0, -3*q + q - 1132 = -4*c. What are the prime factors of c?\nAnswer: 2, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(y) = -y**3 - 24*y**2 + 23*y - 48. Let j be -22 - ((-2)\/(-2) + -1 - -3). Let g be n(j). Let i be (1 + -4)*2\/(-3). Solve g*l + i*l = 0 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(q) = -12*q + 0*q + 11*q - 8. Let p(s) = -s - 7. Let c(a) = -3*p(a) + 4*w(a). Suppose v + 4*v + 40 = 0. Determine c(v).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(l) = 10*l**3 - 7*l + 7. Let o = -10510 - -10517. Let f(w) = -4*w**3 - 3*w - 5 + 8*w - 3*w**3. Determine o*f(g) + 5*h(g).\nAnswer: g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 369755 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-342)\/(-27)*(-23)\/((-1334)\/(-87)).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 94148784043 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Does 4 divide 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 397 is divided by 16.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let s(b) = 6*b - 1. Let t(g) be the first derivative of g**4\/4 - 7*g**3\/3 + g**2\/2 + g + 7. Let f be t(7). Suppose -3*o = o - f. What is s(o)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(v) = 5 - 10 - 6*v**2 + 5*v**2 - 3 - 11*v. Let y be n(-10). What is the second derivative of -6*k**2 + 5*k**2 - 20*k + 18*k**3 + k**y wrt k?\nAnswer: 108*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(u) be the first derivative of 10*u**2 - 82*u - 95. Calculate the remainder when h(13) is divided by 45.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -760 or -19794?\nAnswer: -19794","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*x + 7*x = 28*x - 323 for x.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -0.03 + -0.37. Let l = 1.5 + -1. Let t = l - 0. What is the third smallest value in 3\/4, y, t?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1202424 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: Let p(l) = l - 4. What is p(-10)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 6202739 is divided by 1833.\nAnswer: 1700","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1786.\nAnswer: 2, 19, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: -222000 times 30\nAnswer: -6660000","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 d when two letters picked without replacement from hdyyycdddyccddydy.\nAnswer: 21\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -36903*b - 36906*b + 73811*b.\nAnswer: 2*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: (-606)\/108*3 + 17\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -21 - 0. Let l = -10 - n. Calculate the remainder when 43 is divided by l.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 2*a**5 + 48375390*a**2 + 240*a - 110595 wrt a.\nAnswer: 40*a**3 + 96750780","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:46 PM and 11:05 PM?\nAnswer: 559","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Find g, given that -8*g**3 - 182*g**2 - 714*g - 540 = 0.\nAnswer: -18, -15\/4, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -2210 + 2180 + (-2 - -29).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (z*z**(1\/11))\/z**10 assuming z is positive.\nAnswer: z**(-98\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -4*h + h - 113*h**3 + 3*h + 86*h**3.\nAnswer: -27*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(209)*-1 - sqrt(209))\/sqrt(11) + -1*(sqrt(19) - (sqrt(19) + 0)).\nAnswer: -2*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -1.1 - -8.1. Let n = -54.5 - -48. Let c = n + k. Put 3, -0.2, c in descending order.\nAnswer: 3, c, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 1.67 - 1.87. What is the smallest value in f, 4, 5, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -v + 1363 = 1360. Suppose 5*c + 10 = 4*i, -4*c - 3*i = -8*i + 17. Suppose 4*f + 3*m + 25 = -c*m, 5*m + 25 = 0. Solve p - v = -f for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((l*l**(-4\/7))\/l*(l*l**(-2\/37))\/l)\/(l*l*(l*l**(2\/7)*l)\/l*l*l*l*l**(-2\/7)*l) assuming l is positive.\nAnswer: l**(-1975\/259)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*l + 140 = 5*r, -4*r + 2*l + 118 = -0*r. Let c = -2 + 5. Suppose s = c*x - 10, -r + 9 = -4*s. Solve k = x*k - 8, 3*d + 4*k = 20 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(3) - sqrt(108))*-4 - sqrt(3))**2*-5 + (-4 + sqrt(12))**2*-1.\nAnswer: -5443 + 16*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 147940162 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let k(y) be the first derivative of -7*y**2\/2 + 20*y + 1012. Determine k(3).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(h) = h**5 + h**2 + 1. Let b(j) = -8*j**5 + 25*j**4 + 3*j**3 - 4*j**2 - 2*j + 1459. Let t(y) = -b(y) - 4*l(y). What is the second derivative of t(c) wrt c?\nAnswer: 80*c**3 - 300*c**2 - 18*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -10035, -1\/3, 5, -27\/4, 0.\nAnswer: -10035, -27\/4, -1\/3, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 27012?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence sysy when four letters picked without replacement from yssiysyss?\nAnswer: 5\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*y = -3*m - 6, y - 9 = 5*m - 3*y. Sort 1, m, -3 in decreasing order.\nAnswer: 1, m, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(x) = -x**3 - 19*x**2 + 8*x + 156. Let u be p(-19). Solve 4*v = 2*r + 2, r - 17 = u*v - 8*v for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -46 = 3*j - 193. Calculate the remainder when j is divided by 26.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 104*d - 2332 - 996 = 0. Solve 48*f = 80*f - d for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*r - 35 = -5*r. Which is the biggest value?  (a) 0  (b) r  (c) -1  (d) 6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (18 + 7*i - 6 - 9)*(9*i + 3*i - 13*i) to the form w*i + g + y*i**2 and give w.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Divide -104700 by 300.\nAnswer: -349","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-12)\/27)\/(9\/27)?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 12, -2688, -0.2621 in decreasing order.\nAnswer: 12, -0.2621, -2688","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: 2116 times 11937\nAnswer: 25258692","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let u(b) be the second derivative of -b**3\/3 + 35*b**2\/2 - 9*b. Let v be u(16). Suppose 4*s = -4*f + 28, -7 = -v*f - s + 6. Sort -2, f, 2 in decreasing order.\nAnswer: f, 2, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -553986 divided by -10259?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let c(r) = 3*r**2 - 8*r + 8. Suppose 4*q = 5*q - 2*s - 3, -3*q + s - 16 = 0. Let o(a) = -a**2 - 6*a + 19. Calculate the remainder when c(6) is divided by o(q).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(c) = -c**2 - 7*c - 4. Let l(o) = -o**2 - o. Let k be l(2). Let g be j(k). Suppose 0*h = g*h - 8. Calculate the greatest common divisor of 36 and h.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 7*z - 4*z + 18. Let a be -2 - (3 + z - -1). Suppose a*o = -t + 2*o - 4, -o = -3. Calculate the lowest common multiple of t and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(c) be the first derivative of 7*c**2\/2 + 56*c - 762. What is a(-9)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9*h - h + 8 = 0. Let t be (((-16)\/8)\/(4\/6))\/h. What is the nearest to 1 in t, -3\/2, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*a**2 - 5884*a - 4327682.\nAnswer: -2*(a + 1471)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 230669 + -20b?\nAnswer: 23045a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*p = -5*p. Solve 5*u = 3*d - 3 - 2, -u + d - 1 = p for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 18900 and 2625?\nAnswer: 94500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 135 - 67. Suppose 2*n = 4*n + 5*t - c, -2*n = t - 60. What is the units digit of n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 421.999567 + -422. Round j to 5 decimal places.\nAnswer: -0.00043","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 8 + -5. Suppose 0 = -2*z + 2, h*p = p + 4*z + 14. Calculate the remainder when 26 is divided by p.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1, 5\/4, 3\/4, 0, -53.\nAnswer: -53, -1, 0, 3\/4, 5\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1168972317.\nAnswer: 3, 97, 148781","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*p - 253*b - 48 = -255*b, p - 12 = -5*b for p.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let h(l) = l**3 + 4*l**2 - 12*l + 2. Let g be h(-6). Suppose 0 = -2*c + 2*b + 4 + g, -3*b - 7 = -5*c. Is 1 greater than or equal to c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 24399827 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*o - 3*r - 35, 3*r - 65 = -4*o - 22. What is the remainder when 49 is divided by o?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -32*l - 28 = -39*l. Let r(d) = -27*d + 110. Let b be r(l). Let z = -2 + 5. Solve b*u = t - 6, -2*t - 22 = 3*t + z*u for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine a so that 262*a - 255 - 784 - 108*a**2 - 221 + 106*a**2 = 0.\nAnswer: 5, 126","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 5458 is divided by 1363?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -0.2677  (b) -3\/2  (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 692 is divided by (-9945)\/5*2\/12*-2.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -187 - 200 + 17 + 257*x**2 + 261*x**2 + 566*x**2 wrt x.\nAnswer: 2168*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 288737?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 735195927 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -3 - -2.99997. Round r to four dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of -1253, -1265, -1291, -1337, -1409, -1513, -1655?\n\"Answer: -m**3 - m**2 - 2*m - 1249","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 19.76928 weeks in milliseconds?\nAnswer: 11956460544","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"}
{"text":"Question: Let z(y) = 27*y**3 + y**2 + y - 1. What is the units digit of z(1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(j) be the first derivative of 281*j**3\/3 + j**2\/2 - 1635*j + 2531. What is the first derivative of h(w) wrt w?\nAnswer: 562*w + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2742485275?\nAnswer: 5, 61, 1798351","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is -272a63 (base 12) in base 6?\nAnswer: -21515003","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand -17 + 2*r**5 - r**5 + 22 - 2*r**2 + (-23*r**4 + 0*r**4 + 3*r**4)*(-r + 6*r - 3*r) + (-2*r**2 + r**2 + 0*r**2)*(-r**3 + r - r).\nAnswer: -38*r**5 - 2*r**2 + 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let n(w) = 19*w**2 + 11*w - 16. Let b be n(-4). Calculate the highest common divisor of 183 and b.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {g: 1, z: 6, p: 1, k: 5, v: 1, l: 3}. Give prob of picking 1 v and 1 p.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let l(y) = -y**2 - 3*y - 1. Suppose -2*z + z - 1 = 4*n, -3*z - n - 3 = 0. Let i be l(z). Suppose m = -m + 6. Solve -m*u = 7 - i for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 18 + -23. Let w be (-5)\/(-5) + 10763\/i. Let x = -2144 - w. What is the common denominator of x and -92\/15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -16  (b) -1  (c) -171\/2  (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 2 - 5. Which is the closest to -1?  (a) f  (b) -2  (c) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -2*r + 4*r - 5*r + 3 - 3 - 8*r + (-2 - 3 + 6)*(2 - 2 - r) - 1 + 2*r + 1.\nAnswer: -10*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 33\/160 and 55\/208.\nAnswer: 2080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 738 - 118?\nAnswer: 620","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*r + 104 = 321. Suppose -4*b - r = -143. Let a = b - 18. Solve 2*f - a = -4 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 162898874?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*k + 3*t - 174 = 8*k, 4*k + 2*t = -214. Let b = k + 53. Let j be (b - 1\/(-1))*-4. Solve -j*u + 0*u = 12 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (482 + 294 - 405)*(2*x**4 - 4*x**4 - x**5 + x**4) + (x**4 - 2 + 2)*(0*x + 2*x + 0*x).\nAnswer: -369*x**5 - 371*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 12 and 171732?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let n(a) be the first derivative of a**5\/24 - 2*a**3\/3 + 7. Let l(o) be the third derivative of n(o). Let q(w) = 2*w**2. Give l(q(m)).\nAnswer: 10*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let l(v) = 76*v**3 + 836*v**2 - v - 19. Determine l(-11).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-386*y + 835*y - 348*y)*(2 + 1 - 1)*(y**2 + 3*y - 3*y) to the form q*y**2 + m*y + x*y**3 + k and give x.\nAnswer: 202","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let s(w) = -w**3 + 6*w**2 - 4*w - 4. Let o be s(4). Suppose 3*d + 0*d = o. Sort d, 1, 3 in decreasing order.\nAnswer: d, 3, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 81*g - 184 = 19*g + 548 + 1872 for g.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 14.1 - 15. Let o = x - -1.9. Sort -1\/3, o, 4.\nAnswer: -1\/3, o, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*s**2 - 2*s - 12.\nAnswer: 2*(s - 3)*(s + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 3\/(-6 - -3) + 2. Which is the second biggest value?  (a) 158\/7  (b) 1\/2  (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 1 - 104629*n + 149108*n - 1 to r + a*n and give a.\nAnswer: 44479","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 60*c - 2*c**2 - 60*c - 244670 + 244670.\nAnswer: -2*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 3812 is divided by 254.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -276 + 297 = z. What is the highest common factor of z and 336?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*u - 2*w = -206, 13*w = 3*u + 18*w - 135. What is the tens digit of 908\/(-14)*(-140)\/u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*n**5 + 743*n**4 - 4181*n**3 - 1002983*n**2 - 1245735*n = 0. What is n?\nAnswer: -31, -5\/4, 0, 47, 171","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 891.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 2 - 0. Let n(g) = 2*g - 2*g + x*g**2. Let y(a) = 5*a. Determine n(y(t)).\nAnswer: 50*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 902 + -478. Let l = -187 + t. What are the prime factors of l?\nAnswer: 3, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 59 + -57. What is the third derivative of 0*t**2 - 8*t**2 - 20*t**3 + 2*t**2 + t**a wrt t?\nAnswer: -120","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(w) be the third derivative of -w**5\/60 - w**4\/12 + w**3 - 41*w**2. What is g(-5)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh biggest value in -7, 4, 13, -4\/9, -3\/5, 9\/7, -0.4?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Divide -195 by -3.\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-3 + (-26)\/(-4))*10. Calculate the greatest common divisor of 5 and h.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-832)\/(-1144))\/((-2)\/(-11))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -5.57 times 0.4?\nAnswer: -2.228","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*j - c = -39, -2*j - 3*j + 7*c + 80 = 153 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {x: 5, t: 5}. What is prob of sequence tt?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 8565779?\nAnswer: 97, 233, 379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let d(p) be the second derivative of p**3\/3 + 45*p**2 + 7*p. Let r be d(0). Let l be 20\/r*(-1)\/(-2). Which is the third smallest value?  (a) 0.2  (b) l  (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 0.7 + -7.7. Let m = 6 + s. Let a = m - -0.99964. What is a rounded to four decimal places?\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 5\/14 and 1 + -4 + 236\/16.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 86 and 3139.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -4*k*w**3 - 5*k*w + 7*w**4 + w**3 + 9*w**2 wrt w?\nAnswer: -24*k + 168*w + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1068070.\nAnswer: 2, 5, 29, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 1240603000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 7\/6 of a day in hours?\nAnswer: 28","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -25*h - 1938 = -78*h - 49*h. Let r(p) = -p**2 - 9*p - 10. Let o be r(-7). Solve h = o*y + 11 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 0 - 1100101110111000011011?\nAnswer: -1100101110111000011011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let s(z) = 2*z. Let r(f) = 7*f**2 + 11. Let x(q) = 4*q**2 + 6. Let v(h) = 6*r(h) - 11*x(h). Calculate s(v(u)).\nAnswer: -4*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {b: 2, r: 3, y: 2, p: 5}. Give prob of sequence brb.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 1198, 2386, 3568, 4744, 5914, 7078, 8236?\nAnswer: 9388","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 72*i - 71*i = 17. What is the lowest common multiple of i and (-1)\/(2*(-4)\/40)?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (2 + 3*a - 2)*(-13*a + 43 - 43) to the form f + o*a + w*a**2 and give w.\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -251\/70 or -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let d(r) be the first derivative of -13*r**3 - 11695. Let s(t) = 2*t**2 + 6. Calculate d(s(m)).\nAnswer: -156*m**4 - 936*m**2 - 1404","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 29*l = 32*l - 33. Suppose 22 = l*r - 0. Solve -5*w = -r + 12 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -5 + 11?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is (-51)\/3 - -5 - ((-152470)\/1544)\/((-66)\/(-8))?\nAnswer: -1\/33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4 + (sqrt(66) + (sqrt(66) - (sqrt(66) + -1*sqrt(66)) - sqrt(66))*-5)\/(sqrt(6) - -1*2*sqrt(6)).\nAnswer: -4 + sqrt(11)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let 15*t**3\/4 - 4730*t**2 - 75875*t\/4 - 14235 = 0. What is t?\nAnswer: -3, -1, 3796\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -8*a - 104 - 135 - 116 + 0*a + 355.\nAnswer: -8*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let h(r) = 2*r**3 - 2*r**2 - 2*r - 4. Give h(3).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 4447 is divided by 32?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:20 PM and 9:04 PM?\nAnswer: 344","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let p(f) = f**3 - f**2 - 5*f. Let j(z) = z**3 - z**2 - 6*z. Give -3*j(h) + 4*p(h).\nAnswer: h**3 - h**2 - 2*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: -3311 (base 5) to base 8\nAnswer: -710","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence daad when four letters picked without replacement from {d: 3, a: 2}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let o(z) = -10*z**2 - 86*z + 71. Determine o(1).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: How many millimeters are there in 1\/4 of a meter?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:21 PM and 6:06 AM?\nAnswer: 585","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -525*t**2 + 141*t**2 + 103*t**2 + 48*t**2 + 80*t**2.\nAnswer: -153*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let b(a) = -5*a**2 - 68*a + 26. Let u be b(-14). Is 472 at most u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve s = 4*s - 3 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: 458\/1603 - 10\/140*-794\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 2583 and 5712.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -855 - -1783827?\nAnswer: 1782862","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -200 = -166*t + 132. Solve 18 = -6*d + 8*d - 5*p, -p = t for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(u) = -4*u - 2. Let o be t(-2). Let j = o - 2. Solve z - j*z = 3 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from geeeeeggeeeeegeeeee. What is prob of picking 4 g?\nAnswer: 1\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -4324\/37  (b) -0.1  (c) 1503\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 129832\/3 - 43276. Factor 0 - 2\/3*v**4 + 0*v - y*v**2 - 2*v**3.\nAnswer: -2*v**2*(v + 1)*(v + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(o) = 312*o**2 + 22*o - 105. Is 35 a factor of y(5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 8984?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -k + 2*a = -10, 9*a = -2*k + 4*a - 7. Suppose 4*h + 3*s + 0*s + 12 = 0, 3 = -h - s. Let u = h - 2. Sort k, u, 0.\nAnswer: u, 0, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (k**0\/k*k**(2\/3)*(k*k*k**(2\/3)\/k*k*k*k)**26)\/((k**5\/k**(-1\/8))\/(k\/(k\/k**5)*k\/(k**(2\/3)*k*k))) assuming k is positive.\nAnswer: k**(2861\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: 62218*0.5\nAnswer: 31109","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -805.417 - -805.5. Put -1\/3, n, -63 in increasing order.\nAnswer: -63, -1\/3, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence xxx when three letters picked without replacement from xxxkxxkkkxxxxkxkkxx.\nAnswer: 220\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3219880?\nAnswer: 2, 5, 101, 797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -3 + 3 + t + (0 + 0 - 2)*(0*t - t + 0*t) + 3*t + 3*t - 2 - 5*t to the form i*t + u and give i.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let b(q) be the second derivative of q**4\/6 - 49*q**3\/6 + 79*q**2\/2 - 38*q. Let c be b(23). Solve 0 = -15*l + c*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -34*o + 24*o + 63370 = 0. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 207058?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -183, -181, -177, -171, -163?\nAnswer: -153","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 282 - 48. Let u = o + -931\/4. Which is the closest to 1\/3?  (a) u  (b) -0.3  (c) 3.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(l) = -722*l**2 - 190*l - 950. Let v(q) = 2*q**2 - q - 5. Determine -2*p(d) + 380*v(d).\nAnswer: 2204*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*s + 4*s + 0*s)*(-1133*s + 1133*s + 39*s**2)*(1 - 3*s**2 - 1).\nAnswer: -234*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {k: 1, g: 7, m: 1, c: 9}. Give prob of picking 1 k and 1 m.\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: bb003 (base 13) to base 9\nAnswer: 565104","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let p(d) = -16*d**2 - 2*d - 57. Let l(j) = 31*j**2 + 5*j + 115. Determine -2*l(f) - 5*p(f).\nAnswer: 18*f**2 + 55","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 120703?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (26 - -4)*(2\/(-9))\/((-104)\/(-234))?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 679 minutes before 2:32 PM?\nAnswer: 3:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-7)\/(-2)*(-8)\/(-14). Let v = -14 + t. List the prime factors of (-6)\/v - (-59)\/2.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -z = -5300 + 5302, 0 = -3*q - 5*z + 192602. What is the thousands digit of q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of 589 and 12.\nAnswer: 7068","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 39235690, 39235700, 39235710, 39235720, 39235730?\nAnswer: 39235740","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 283 minutes after 6:55 AM?\nAnswer: 11:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Work out -806867409886 - -5.\nAnswer: -806867409881","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: 4\/(-5) + (-1243)\/218655*-43\nAnswer: -5\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*g - 4*o = -2*g + 2, -4*g + 3*o = 59. Let r = 16 + g. Let v = -3 + 13. Solve r*c = -v, 5*m + 5*c - c = 17 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -5 + 7. Let s(o) = o + o**t - 1 - o. Let v(k) = k**3 + 2*k**2 + k - 2. Calculate -2*s(p) + v(p).\nAnswer: p**3 + p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -1346, -1174, -1012, -866, -742, -646, -584?\nAnswer: -562","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 18303*c**2*k**3 - 2196*c**2*k - 226*c*k - 114*k**5 - 2*k wrt k.\nAnswer: 109818*c**2*k - 2280*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 63 and 315.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Factor -z**4\/4 + 72097*z**3\/2 - 5197400601*z**2\/4 - 10396531594*z - 20794216804.\nAnswer: -(z - 72101)**2*(z + 4)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 4\/(-16)*4*-1?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Round 1264.7363 to the nearest ten.\nAnswer: 1260","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -19 - -20. Let r be (-1)\/(9\/13) + 1. Let k = -1035 + 1034. Which is the second smallest value?  (a) k  (b) r  (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from aanaan. Give prob of sequence aaa.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let r(l) = -99*l**2 - 987*l + 28. Determine r(-10).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let m(z) = 5*z**3 - 180*z + 458. Give m(3).\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is fifty-three quarters of a litre in millilitres?\nAnswer: 13250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let p(m) be the first derivative of 4*m**3\/21 + 12*m**2\/7 + 32*m\/7 + 34. Solve p(a) = 0.\nAnswer: -4, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -ec766a + b?\nAnswer: -ec765e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 7563161 at most as big as 7563207?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 685.3 take away 31?\nAnswer: 654.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*w = g - 3*g + 12, w - 1 = -g. Suppose -p + 14 = 3*q, -3*p - w*q = 2*p - 30. Solve -3 = -3*m - p*b, m - 4*m - b + 3 = 0 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find k such that 2022111\/5*k + 3\/5*k**3 + 4932\/5*k**2 - 4063974\/5 = 0.\nAnswer: -823, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 0.930982061 - -60.069035039. Let r = l + -61. What is r rounded to six dps?\nAnswer: 0.000017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:25 PM and 12:37 AM?\nAnswer: 132","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 73914546 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ss when two letters picked without replacement from ossosbsbsosbosbssoso?\nAnswer: 9\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 2*q + 5*l - 1647 + 1688, l + 5*l + 345 = -101*q for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*h = 3*b - 2916, -2*b + 1900 + 39 = h. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 11457 + -11459. What is the third biggest value in 0.7, -23, c?\nAnswer: -23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-2345)\/(-15) - 6\/(-9). Let h = m - 178. Put 4, -3, h in decreasing order.\nAnswer: 4, -3, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Are 13\/11050317 and 1 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let v(n) = 2*n**2 - 1. Let d(r) = 55*r**2 - 15*r - 15. Let s(m) = -d(m) + 25*v(m). Let s(b) = 0. What is b?\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -m + 4*y + 21, 4*m - 2*m - 6 = -y. Let t(a) = -35*a + 178. Let d be t(m). Solve -d*r - 12 = 0, -3*z + r + 11 = -r for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(u) = 9*u**2 + 51. Let m(h) = -h**2 - h - 8. Let j(d) = i(d) + 6*m(d). Factor j(p).\nAnswer: 3*(p - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-1)\/27*-3)\/((-4)\/4)?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-21)\/6*((-240)\/21)\/10.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*t = 3*t - 15. Does 3 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 4 - 108?\nAnswer: -104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 6558 is divided by 343?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -487 - -484. Suppose 0 = 2*w - 6, 4*x + 0 - 28 = -4*w. Put 3, d, x, 0 in descending order.\nAnswer: x, 3, 0, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (h**14)**(-40) assuming h is positive.\nAnswer: h**(-560)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-21285)\/(-77) - (-12)\/(-28). Let g = r - 262. Does 13 = g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (20\/90)\/(4\/18). Solve 3*h - 8 = k, -p = -4*h + 9 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-j**2 - 2*j**2 + j**2)*(-7*j**3 + j**3 + 2*j**2 + 0*j**3).\nAnswer: 12*j**5 - 4*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let b(v) = 0 - 7*v**2 + 0 + v**3 + 6*v. Let n be b(6). Let k = -41\/4 - -10. Is k less than n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 493 and 116?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let m(x) = 2*x**3 + 2. Let i(o) = -5 + 3 - o**3 + 1. Determine 8*i(u) + 3*m(u).\nAnswer: -2*u**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-2)\/(-4) - (-380)\/(-600).\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Does 9213 divide 1264253925?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*w**4\/5 - 237*w**3\/5 - 93*w**2 - 231*w\/5.\nAnswer: -3*w*(w + 1)**2*(w + 77)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (z**4\/z)\/z*z**(-5)*(z\/z**(-1\/2))\/(z\/z**(-7)) assuming z is positive.\nAnswer: z**(-19\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let p(t) = -2*t**3 + 2*t**3 - 3*t**3. Let k be p(1). Let i be (6\/27)\/(1\/k). Which is the closest to 2\/7?  (a) i  (b) -3  (c) 3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 3 - (6\/3 - -1). Let l be (u - (-3 + 2)) + 3. Suppose -f = c + 3 - 13, -c = -4*f + 40. Calculate the greatest common factor of l and f.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 v and 1 o when three letters picked without replacement from {f: 2, v: 3, o: 10, t: 2, d: 3}?\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let t(x) = 98*x**3. Let y(j) = 2*j**2 + 11*j + 23. Let q be 147\/(-35) + (-5)\/(-25). Calculate the remainder when t(1) is divided by y(q).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(272) + -3*(-2 + sqrt(272) - sqrt(272)) - (2 + (sqrt(272) - sqrt(272)*1)))*2)**2.\nAnswer: 128*sqrt(17) + 1152","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0081646939 rounded to three decimal places?\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -20*w + 23*w - 3165 = 0. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 398, 378, 358, 338, 318, 298?\nAnswer: 278","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 1 + 7\/(-14)*16.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 48268?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1912795180.\nAnswer: 2, 5, 211, 453269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 f when two letters picked without replacement from ddddfddddfdf?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let m(x) = -x**3 + x**2 + 42*x - 79. Calculate m(6).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*k = j - 777, -j - 2*k + 295 + 482 = 0. Is j greater than or equal to 776?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*v - 3*v + 0*v)*(7 + 17 - 37) + (0 + 6 - 5 + 1 - 5 + 2 + (0 - 2 + 1)*(-5 - 1 + 5) - 1 + 2 - 3 + 0 - 1 - 1 + 0 + 4 - 3 + 2 - 3 + 0)*(2*v + 2*v + 0*v).\nAnswer: -3*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Divide -4017 by -309.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {p: 7}. Give prob of sequence pppp.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -37104 + -1049?\nAnswer: -38153","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 192*w**4 - 9*w - 4?\nAnswer: 2304*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 0 or 12\/5185?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -99 - -49. Let j = 12728 - 12730. Which is greater: j or x?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0.20621 * -0.5\nAnswer: -0.103105","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence wzw when three letters picked without replacement from {w: 4, z: 3}.\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-18)\/24 + (-2)\/16*-6. Suppose -12*s + 32 - 8 = n. What is the tens digit of 17 - (4 - s - 1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 776047 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let g(j) be the third derivative of j**5\/30 + j**3\/6 + j**2. Is g(4) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -47d4f43 - 1?\nAnswer: -47d4f44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let z(p) = p - 1. Let t = -3 - -4. Let h be z(t). Is (h - 3)*-9 - 0 a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*j + 4*k + 52 = 0, 2*j - k + 7 = 2*k. Let g be j\/(-12)*1*6\/7. Suppose 0 = -c - 3*y + 7, 2*c - 2*y = c - 8. What is the smallest value in 2\/11, c, g?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(i) = i - 1. Let y be b(-10). Let u = y + 11. Suppose u*s - 3*s = -387. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10 = -6*o + o + 5*t, -2*t = 4*o - 38. What is the least common multiple of o and 1\/(0 - (-1)\/1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*x + 3*m + 1 = 0, 3*x + 2*m + m - 3 = 0. Let d(b) = -28*b - 24. Let s(q) = 51*q + 45. Let p(r) = -11*d(r) - 6*s(r). Determine p(x).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((m**(13\/4)\/m)\/m**(-15))**(2\/105) assuming m is positive.\nAnswer: m**(23\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Put 357, -1, 0 in increasing order.\nAnswer: -1, 0, 357","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when ((1408\/(-6))\/(-4))\/((-36)\/(-108)) is divided by 36.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-28)\/12)\/(-7)*(-3)\/4.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 34\/5 of a kilometer in meters?\nAnswer: 6800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: -1 + (-6 - 2) + (-12 - -25)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/8 of a tonne in kilograms?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*x - 2061 = -4*x + 5*w, 0 = -5*x + 3*w + 5143. Suppose -4*m + 576 = -x. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be -9 - 7\/(28\/(-16)). Let q be (-24)\/d*30\/(-4). Is 2\/((-2)\/(q\/1)) a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -2*r**2 + 2*r - 2*r**3 + 2*r**2 + (-73*r - 17*r + 13*r)*(69*r**2 - 34*r**2 - 25*r**2) to w + u*r**3 + f*r**2 + s*r and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 3677 a factor of 116549869?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -44b + 2?\nAnswer: -449","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.053943 to 2 decimal places.\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 14 minutes before 4:05 AM?\nAnswer: 3:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 7647?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Convert 219718.5 grams to tonnes.\nAnswer: 0.2197185","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 1059722410.101959 + -1059617451.25. Let q = y - 104871.852. Let r = 87 - q. Round r to 5 decimal places.\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of -687, -1264, -1841, -2418?\n\"Answer: -577*t - 110","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*d - 179 = -183 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.1?  (a) -3108\/11  (b) -0.4  (c) 2\/5  (d) -3\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let f(a) = a**2 + 4*a - 2. Let n = -1 + -4. Let r be f(n). Suppose -m - l + 9 = 0, 0*m + r*l = 2*m - 23. Is m a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2 = q - m - 1, q + 4*m = 19. Let d = 11 + q. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (2\/4*0)\/(14 + -12). Suppose 4*o + o - 30 = z. Let v be 3 - (30\/9 - (-4)\/o). Sort -3, 3, 11, v in increasing order.\nAnswer: -3, v, 3, 11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 38044*0.08.\nAnswer: 3043.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -478.962 + 478. Let g = c + -0.038. Let z = g - -1.045. What is z rounded to three decimal places?\nAnswer: 0.045","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 42 - 22 = -4*t for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -563*n + 551*n + 21912 = 0. List the prime factors of n.\nAnswer: 2, 11, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 5256, 5, 1, 2\/7, 11?\nAnswer: 5256","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence paxa when four letters picked without replacement from apppapxpappx.\nAnswer: 7\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1\/2 in 6195, 0.3, -4\/5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Does 31 divide 2294?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Expand h + 1 - 1 + (3*h - h + 0*h)*(-1 + 2 + 0) - 2*h + 5*h - 2*h + h - 4*h + h + (h + 3*h - 3*h)*(3 - 1 + 1).\nAnswer: 5*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 3d - -6c04a0?\nAnswer: 6c04dd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*k + 48 = 6*k. Let i = -23 + k. Suppose -i = 3*b - 22. List the prime factors of b.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 703119414?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 2963*c**4 + c**3 + c**2 + 1521*c - 1?\nAnswer: 71112*c + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -507 = -5*p - 82. Let g be (2\/(-4))\/(3\/(-72)). Is (p\/(-3))\/((-4)\/g) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from midjdmdddididdjdmip. Give prob of picking 1 j, 1 d, and 1 m.\nAnswer: 18\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let u(l) = l**2 - 4*l - 1. Calculate the lowest common multiple of 18 and u(7).\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(275)*5 - (sqrt(539) + -2)**2.\nAnswer: -543 + 53*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 74.7 + -75. Let b = -3.1 + 6.5. Let a = b + -3. What is the third smallest value in 1\/2, n, a?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1037 is divided by 52.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 11 a factor of 2221816718?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (y**(7\/2)*y\/(y*y\/(y*y\/(y\/(y\/((y**(-10\/3)\/y)\/y))*y))))**(-42) assuming y is positive.\nAnswer: y**(-371)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (9\/12)\/(114\/16). Suppose -2*p - 3 = 4*x + 21, -4*x - 36 = 4*p. Let f(y) = y**2 + 6*y - 3. Let q be f(p). What is the third smallest value in n, q, 5\/4?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 10621437977 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Express (2 - 5 + 1)*(-2 + 2 - g + (-g + 3*g - g)*(-1 - 4 + 3) + (g - 2*g - g)*(3 - 7 - 2))*(6 - 2 - 1) as t*g + k and give t.\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {i: 3, d: 11}. What is prob of sequence dii?\nAnswer: 11\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: 5*(11\/(-5))\/(33\/(-1386)*14)\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -416 + 425. Calculate the greatest common divisor of 153 and y.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(j) = -8*j**2 + 17*j. Let d(l) = -5*l**2 + 9*l. Let i(p) = 3*b(p) - 5*d(p). Determine i(-6).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (18\/10)\/((-2)\/(-10)). Let s(l) = 9 - f - l. Let m(q) = 2*q**2. Calculate s(m(x)).\nAnswer: -2*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 112 + -110. Let s be 1\/x*(-7 - -7). Suppose s = 7*u + 26 - 124. Solve 3*b = -4*l - 13, l + 0*l - 5*b = u for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(p) = 2*p**3 - 24*p**2 + 4*p - 33. Let n(l) = -3*l**3 + 24*l**2 - 5*l + 33. Let k(h) = 4*n(h) + 5*y(h). Differentiate k(x) wrt x.\nAnswer: -6*x**2 - 48*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((g**(-5\/3)*g*g*g\/(g*g**(-6)*g))\/(g**(-1))**30)**(-25) assuming g is positive.\nAnswer: g**(-2650\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let x(q) = 3*q + 14. Let z be ((16\/6)\/2)\/(3\/(-9)). Let v be x(z). Is 2448\/6 + v\/2 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of -25, -52, -75, -94, -109?\n\"Answer: 2*d**2 - 33*d + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 12 + 200301024?\nAnswer: 200301040","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*n + 4*n - 3*n)*(-8*n - 8 + 8)*(103*n - 469*n + 54*n).\nAnswer: 2496*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Find p, given that -20*p**3\/3 + 4*p**2\/3 = 0.\nAnswer: 0, 1\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between 550575 and -0.09711?\nAnswer: 550575.09711","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve 363*l + 2054 - 11840 = -6025 + 24916 for l.\nAnswer: 79","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -145*o - 6*o**2 - 14*o**2 - 9*o**2 - 1 + 8*o**2 + 2.\nAnswer: -21*o**2 - 145*o + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-u - 2*u + 4*u)*(-16*u + 454 - 454)*(-1 + 0 - 10).\nAnswer: 176*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -113 - 5?\nAnswer: -120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 435 or -25?\nAnswer: 435","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: 315101 (base 6) to base 14\nAnswer: 9549","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let h(r) be the third derivative of r**5\/240 + 35*r**4\/8 + 3675*r**3\/2 + 921*r**2. Let h(k) = 0. What is k?\nAnswer: -210","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -49\/20 and (6\/208)\/(7\/(3066\/(-9)))?\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -399*n + 12180 = -395*n. What is the units digit of n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(h) = -h**2 - h + 2. Let k be d(-2). Suppose k = 2*z - 25 - 55. Let o = z - -15. Calculate the greatest common factor of o and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -2.336?  (a) -107  (b) -0.3  (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let f(k) = -120*k - 1. Let d be f(1). Let a = 80 + d. Let b = -9 - a. Is b a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be ((-60)\/(-75))\/((-2)\/(-30)). Which is greater: q or 11?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 a and 1 g when two letters picked without replacement from aegzag?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 1352305160 to the nearest integer?\nAnswer: 36774","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -44 - 11441?\nAnswer: -12040","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let v(n) = -n**3 + 11*n**2 - 5*n + 6. Is v(5) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 203 - 192. Suppose 3*w - 3160009 = 4*l, -p + 2 = -3*w. What is l rounded to the nearest one hundred thousand?\nAnswer: -800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(l) = -4*l**2 - 21*l - 2. Let g be s(-5). Let q(u) be the first derivative of 2\/3*u**g + 1\/8*u**4 + u**2 - 3 + 0*u. Factor q(x).\nAnswer: x*(x + 2)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(k) = 14*k**2 + k + 2. What are the prime factors of v(2)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(20)\/(sqrt(8)\/sqrt(2)) + (sqrt(320) + sqrt(320) + 1 - sqrt(320) - sqrt(320))**2.\nAnswer: 1 + sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let h(z) be the third derivative of z**6\/24 - z**5\/20 - z**4\/8 + z**3\/2 + 38*z**2 + z. Let i(c) = 35*c**3 - 20*c**2 - 20*c + 20. Calculate 20*h(m) - 3*i(m).\nAnswer: -5*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 18684 and 1926.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred millions digit of 180168036?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve 70*t = 2*k + 75*t - 18, -13*k + 5*t = 33 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Express (-17*w + 3 - 3)*(3*w - 2*w + 0*w) + 3*w**2 + 5*w - 5*w as g*w**2 + f*w + k and give g.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let t(l) = -l**2 - l + 1. Let r be t(1). Let n = -1 - r. Solve 0 = 3*u - 8*u + 2*b - 28, n = -4*u + 4*b - 32 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 11 - (30 - -48) - -24\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((64\/3)\/((-22)\/(-33)))\/((-548)\/1918).\nAnswer: -112","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let m(p) = 55*p + 327. What is m(-4)?\nAnswer: 107","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in fourty-two fifths of a century?\nAnswer: 10080","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 24 and 109?\nAnswer: 2616","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let x(k) = -k**3 - k + 5. Let u be x(2). Which is the nearest to 0.1?  (a) -119\/5  (b) u  (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 5\/(-50)*4*5. List the prime factors of (u + -40)*14\/(-4).\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 5 + 1. Suppose -36 = -z*d - 0*d. Let n(x) = -x - 4. What is n(d)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -4403 by -259.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is -20 (base 7) in base 6?\nAnswer: -22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (g**5)**(-1\/4) assuming g is positive.\nAnswer: g**(-5\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Expand (63*g + 106*g + 81*g + 1)*(1 - 1 + 3*g)*(1 + 1 - 3).\nAnswer: -750*g**2 - 3*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2021 = 3*q - 1021. Let d be q\/9*(3 - 3\/2). Find the third derivative of d*t**3 - 20*t**4 - 169*t**3 + 6*t**2 wrt t.\nAnswer: -480*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -6464 * -0.042245.\nAnswer: 273.07168","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 25889 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 11791111 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 2.65 - 0.65. Suppose 4*r - 112 + 12 = 0. Let f be r\/165 - 1\/3. What is the smallest value in f, o, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 72.74 plus 403?\nAnswer: 475.74","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -22 + -8?\nAnswer: -2a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {i: 3, b: 1, k: 9, v: 1}. Give prob of sequence kvik.\nAnswer: 9\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 746182?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let c(d) be the first derivative of -4*d**3\/3 + 5*d + 3. Let g(b) = 6 - 6*b**2 - b**2 + 2*b**2. Calculate -6*c(l) + 5*g(l).\nAnswer: -l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve 198334*y - 202224*y - 35010 = 0 for y.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(91)\/(sqrt(7) - sqrt(7)*-3))**2 + sqrt(13))*5.\nAnswer: 65\/16 + 5*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let c(g) = -5*g**3 + 6*g**2 - g. Suppose -3714 = -5*o - 749. Let d(m) = o*m - 593*m + m**3 - m**2. Calculate c(q) + 6*d(q).\nAnswer: q**3 - q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (42\/(-84))\/((5\/6)\/(-1)). Let u = -195 - -197. Which is the third biggest value?  (a) y  (b) 2\/5  (c) u  (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(t) be the third derivative of -t**10\/151200 + t**9\/30240 - t**5\/30 + 3*t**2. Let l(x) be the third derivative of k(x). Suppose l(p) = 0. What is p?\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-2 + 2 - h)*(-2 + 2 + 1)*(-3*h**3 - 2*h**3 + 4*h**3) to the form i*h**2 + d*h + o*h**3 + k + n*h**4 and give n.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {r: 3, w: 1, x: 3, f: 1, k: 2}. Give prob of sequence rrx.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 5650 and 5537?\nAnswer: 276850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*v + y + 4*y = 12, -12 = 3*v - 2*y. Let p be ((-2)\/28)\/((-2)\/8). What is the nearest to -0.3 in -0.3, p, v?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many nanometers are there in thirteen quarters of a micrometer?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((s\/(s*s**(-2\/7)))\/s*s)**4)**(3\/25) assuming s is positive.\nAnswer: s**(24\/175)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (q*q\/(q**(-9)*q)*q\/(q\/q**(3\/8)))\/((q**(-22)*q)\/(q**22\/q)) assuming q is positive.\nAnswer: q**(419\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let y(u) be the third derivative of -u**4\/24 + 5*u**3\/6 - 1236*u**2. Let g(f) = -1. Calculate -15*g(r) - 3*y(r).\nAnswer: 3*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 193 and 79004.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of 14, 29, 52, 83?\n\"Answer: 4*m**2 + 3*m + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let w(h) = 49*h**2. Let t(z) = -4*z - 6. Let c(o) = -17*o - 26. Let y(j) = 6*c(j) - 26*t(j). What is w(y(q))?\nAnswer: 196*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -0.5  (b) 4  (c) 11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 12\/(-45)*9\/(-144). Let n(x) be the third derivative of 1\/24*x**4 - s*x**5 + 0*x + 0*x**3 + 3*x**2 + 0. Factor n(g).\nAnswer: -g*(g - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*i**2\/7 + 4*i\/7 - 48\/7.\nAnswer: 2*(i - 4)*(i + 6)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let o(v) = -v**2 + 7*v + 8. Let p be o(-1). Solve -4*w + 5 - 17 = p for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 2 - -1 - (5 + -5 + 3). Suppose i*y + b = 5*y - 785, 146 = y + 2*b. Is y a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:23 PM and 12:20 AM?\nAnswer: 237","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of 13051, 10948, 7421, 2476, -3881, -11644, -20807, -31364?\n\"Answer: x**3 - 718*x**2 + 44*x + 13724","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -5 + 9. Suppose -7*y + l*y + 27 = 0. Which is bigger: 10 or y?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -2.291 + 0.281. Let z = -8.17 - g. Round z to 0 decimal places.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -199*h + 626 = 228 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 332*c - 437*c + 25725. What is the highest common factor of 10 and c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (4 + -3)\/((-66)\/(-132)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence zzmj when four letters picked without replacement from mzzmzszjzhm?\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let j(b) = -b**2 - 26*b + 61. Suppose 18*k = 10*k - 80. Is j(k) a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(z) = z**3 - 7*z**2 + 13*z - 33. Let u be s(7). Suppose u*v - 62*v = -16. Solve -2 = v*q - 2 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine n so that -2*n**3\/5 - 1524*n**2\/5 - 3042*n\/5 - 304 = 0.\nAnswer: -760, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let v(i) = i**2 - 37*i + 95. What is v(33)?\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 51 - 203\/4. Suppose 0*u + 4*u = 5*i + 20, 2*u = 3*i + 12. Which is the closest to 1?  (a) t  (b) 4\/7  (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(f) = -41*f + 2. What is the units digit of s(-1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 211784207 to the nearest integer?\nAnswer: 121","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let v(z) = z + 11. Let f be v(6). Suppose -3*k = 351 - 1593. Let y = k - 227. What is the greatest common factor of f and y?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 21537908, 43075810, 64613708, 86151602, 107689492, 129227378, 150765260?\nAnswer: 172303138","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 980?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-601)\/3606*6\/81?\nAnswer: -1\/81","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*z + 3*b + 0*b - 77012 = 0, 2*z = 4*b + 30784. Round z to the nearest one thousand.\nAnswer: 15000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 421 - 251. Let z(a) = -2*a + 3. Let o be z(-1). Suppose 0 = -4*l - 2*j + 130, -4*l + t = l - o*j. What is the remainder when l is divided by 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2 - 17 = -3*u. Let p = -12 + u. Let z(v) = v. Let a = 1711 - 1707. Let o(q) = q. Calculate a*o(g) + p*z(g).\nAnswer: -3*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let y(s) = 1831110*s. Let o(k) = 115*k**2. Give y(o(a)).\nAnswer: 210577650*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -761 - -760.9. Are 119 and z nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 62b5 (base 15) to base 6.\nAnswer: 240342","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -222*o**3 + 299*o**3 + 263*o**3 + 182*o**3.\nAnswer: 522*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5, 4, -45.\nAnswer: -45, -5, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: -2226311 (base 7) to base 10\nAnswer: -275927","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find y such that -34\/9*y**2 + 2\/9*y**5 + 0 - 38\/9*y**4 + 70\/9*y**3 + 0*y = 0.\nAnswer: 0, 1, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(h) = -77057*h - 429. Let d be s(3). What is d rounded to the nearest 100000?\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {m: 2, x: 2, i: 2, y: 1, l: 3, n: 4}. What is prob of sequence mniy?\nAnswer: 2\/3003","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Divide -1259496 by 314874.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 78046 - 52072. Is 111 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 19916340?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 11465853.\nAnswer: 3, 7, 77999","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of -1 + (-300)\/(-4) - (-4)\/4?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -53 - -33. Suppose b = 5*f + 13, -2*f = -3*b + 5*b - 50. Let l = b + m. Solve 6*c = l*c + 9 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 12, -604, 0 in ascending order.\nAnswer: -604, 0, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:58 AM and 3:38 PM?\nAnswer: 520","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-k + k - 4*k)*(-7 - 5 + 2)*(-2 + 0 + 0)*(k**2 + 3*k**2 - 3*k**2) to the form b*k**3 + d + v*k**2 + w*k and give b.\nAnswer: -80","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let f(n) = 1. Let t(p) = -p**2 + 5*p - 12. Let i(c) = -5*f(c) - t(c). Let l = 21 + -14. Let k be i(l). Solve -k + 6 = -3*g for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 730 and 90?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 6 + 3266a05?\nAnswer: 3266a0b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 0 greater than 2\/71?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 76680108.\nAnswer: 2, 3, 78889","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let g(o) = -5*o. Let j(m) = 144 - 144 + 10*m**2. Give j(g(q)).\nAnswer: 250*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -3\/1904 and 113\/31317230?\nAnswer: 250537840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 57 + -60. Let p(z) = -384*z + 11. Is p(q) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0+-12876935.4\nAnswer: -12876935.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -11001 - 111100101?\nAnswer: -111111110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 21 and 48?\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 1824 and 7676?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let h(b) = -b + 1. Let c(f) = 10*f - 17. Let q(k) = c(k) + 6*h(k). Let l(s) = -6*s**2. Calculate q(l(g)).\nAnswer: -24*g**2 - 11","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: 436 - 1\nAnswer: 435","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let s(h) = 2*h**2. Let i(w) = 4*w**2 + 2*w - 2. Let y(l) = -5*l**2 - 3*l + 3. Let u be (-12)\/(-2 - (2 - 2)). Let p(f) = u*i(f) + 4*y(f). Calculate s(p(n)).\nAnswer: 32*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -285, -567, -849?\nAnswer: -1131","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 18 = -d + 61. Let i(q) = -5*q**2 - 74*q + 1291. Calculate the remainder when d is divided by i(-25).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -0.3 and 2.186008?\nAnswer: -0.6558024","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-14 - (3 + -5)) + -2. What is the common denominator of (-4)\/s + (-171)\/1260 and (2\/12)\/((-20)\/222)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: -0.768*-2\nAnswer: 1.536","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Factor 758*a**4 + 11369*a**3 + 56835*a**2 + 94675*a - 125.\nAnswer: (a + 5)**3*(758*a - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let z(g) = 7*g**2. Let n be z(4). Suppose 3*h - 6*h + 42 = 0. Calculate the greatest common divisor of n and h.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*d - 4*d + 2*d)*(8*d**2 + 0*d**2 - 2*d**2) - 2*d**3 + 5*d**3 + 0*d**3 + (2*d - d - 2*d)*(-2*d**2 - 3*d**2 + 3*d**2).\nAnswer: 11*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -2197*x - 855*x - 3*x**2 - 2192*x + 5*x**2 - 624*x to the form v + f*x + p*x**2 and give f.\nAnswer: -5868","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 1*(-2 + (-4)\/(-2)). Suppose -b + 0 + 2 = v. Suppose -4*d + 6 + b = -2*o, o + 4*d - 14 = 0. What is the units digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -11ba9 (base 12) in base 7?\nAnswer: -130326","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 7196, 7213, 7222, 7217, 7192, 7141?\nAnswer: 7058","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((sqrt(130) + -1*sqrt(130) + sqrt(130))*-2*-1)\/(sqrt(10)*-2*1 - sqrt(10) - sqrt(1210)*1))**2 + 5.\nAnswer: 258\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 27*j - 1549 = -4*o - 604, 1 = j + 4*o - 34 for j.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let c(n) = -n**2 + 5*n - 3. Let s be c(3). Let f(y) = y**2 + y + 11. Suppose 4*j = j. Let x be f(j). Solve x = -4*v - 5*k, s*v - 4*k + 9*k = -7 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -143\/8368824 and 73\/7887.\nAnswer: 92057064","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 429 is divided by 160?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 11359 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 1286 + 33. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -12, 1, 5 in increasing order.\nAnswer: -12, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1, 12, 8, -3, 1.\nAnswer: -3, -1, 1, 8, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let f be ((-768)\/(-476))\/(-4) + 2\/17. What is the third smallest value in f, 0.3, 2.4, 5?\nAnswer: 2.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 61381.503 to the nearest one thousand.\nAnswer: 61000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 13416 and 628420?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 3332591994 to the nearest integer?\nAnswer: 1494","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 448202351 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve 21*a - 169 = 34*a for a.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 10418 a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 26 - 19878196?\nAnswer: -19878170","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 49863?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 181787 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*g - 28*g = -128. Let h(w) = -2*w + 12. Let s be h(0). Solve s = g*b - 7*b for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*m + k = -4*k, -5*m = k. Let w be 0\/(-1) - (1 + -3). Let j(f) = f**3 + 7*f**2 + 6*f + 4. Let x be j(-6). Solve -w*u + 7 = -5*y - 4, x*u + 8 = m for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 135063338*x**5 + 5*x**2 + 77368*x - 42.\nAnswer: 8103800280*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -j - 14 = 33. Let m = 1173 + -1192. Let s = m - j. What is the tens digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*h - 5*o = 105, 40 = -3*o + 61. Solve 3*a - 10 = d, -4*d = 4*a + 4 - h for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 84 a factor of 153422?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Round 5727220.1 to the nearest ten thousand.\nAnswer: 5730000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: (-490*46\/(-345))\/((-16)\/4)\nAnswer: -49\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*n + a + 17455, -6*a + 3*a = 4*n - 23282. Suppose 0 = 235*y - 246*y + n. List the prime factors of y.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(l) = -3*l**3 + 3*l - 2. Suppose -x - 4*x - 35 = -5*j, -4*x + j = 16. Let t(r) = 6*r**3 - 5*r + 4. Calculate x*t(n) - 5*d(n).\nAnswer: -3*n**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Expand 63 + 39*j - 63 + (-4*j - 4*j + 4*j)*(-2 + 4 - 3) + 4*j + 28 - 28.\nAnswer: 47*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -485\/292 + 460177\/2628. Let z = m + -173. Suppose -1 = -4*p - 9. Put z, p, 1\/2 in increasing order.\nAnswer: p, z, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (42\/(-70))\/((2\/(-5))\/2). Suppose 5*x = 5*b - 1 - 9, x - 10 = -v*b. Let j(u) = 12*u**2 - u. Calculate j(x).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(z) = -z**3 - 4*z - 39. Calculate y(-3).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Work out -279 * -337.5.\nAnswer: 94162.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let u(l) = 206*l + 5. Let a(s) = 137*s + 3. Calculate -8*a(n) + 5*u(n).\nAnswer: -66*n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 516*b**3*c**4 - 42*b**3*c**3 + 4*b**3*c + 3684*b*c wrt c?\nAnswer: 6192*b**3*c**2 - 252*b**3*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 2066387 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 155196 and 81.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -143590*m**3 - 765173*m wrt m?\nAnswer: -861540*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 46 + 0 = a. Suppose 6 = -5*b + 3*b. What is the remainder when a is divided by 24*-6*b\/27?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(j) = 385*j**2 - 1205*j - 3. Determine y(3).\nAnswer: -153","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (5*(-2 + (4*sqrt(2156) + sqrt(2156))\/(sqrt(16)\/(sqrt(4)*-3)))*-4)**2.\nAnswer: 168000*sqrt(11) + 48511600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1342*c - 268*c + 78558 = 1997 - 16877 for c.\nAnswer: -87","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 748 times -17?\nAnswer: -12716","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 463 = 4*r + 2*m + 145, -m = -5*r + 408. What is the remainder when r is divided by 21?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (2 - -3)*(-18 - 1743\/(-105)) - 6.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence mmf when three letters picked without replacement from mmgmfmffmfm?\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -113\/12 and (-3367)\/2220 - (11 - 10).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine v, given that 4*v**3\/3 + 16*v**2\/3 - 4*v\/3 - 16\/3 = 0.\nAnswer: -4, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of -21, -51, -129, -279, -525, -891?\n\"Answer: -4*q**3 - 2*q - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: How many centimeters are there in 11\/4 of a meter?\nAnswer: 275","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: 1 + (15 + -17 - (2 - 1))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Do 0 and 4\/5075 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let p(h) = h**3 - 3*h**2 - 2*h + 5. Let u be p(4). Let y(w) = w + 2. Let g be y(u). Solve -a - 3*j + g = a, 2*a + 25 = 5*j for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(j) = 7*j**2 - 6*j. Let t(l) = l**2 - l. Let i(s) = r(s) - 6*t(s). Let v(b) be the second derivative of -b**3\/6 - 15*b. Determine v(i(u)).\nAnswer: -u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let u(c) = -2*c**2 - 11*c + 5. Let a(b) be the third derivative of b**5\/60 + 5*b**4\/24 - b**3\/3 + 285*b**2 + 2*b. Calculate 7*a(o) + 3*u(o).\nAnswer: o**2 + 2*o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-5 + (1 + sqrt(108) - sqrt(3) - sqrt(3))**2 + 2 + (sqrt(6912) + 3)**2)*6.\nAnswer: 1776*sqrt(3) + 41802","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Factor -s**3 + 43079*s**2\/4 + 5385*s\/2.\nAnswer: -s*(s - 10770)*(4*s + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -268*t**2 + 1381*t**2 - 852*t**2 - 271*t**2.\nAnswer: -10*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*u + 5*w + 10 = 0, 3*u + 5*w - w - 13 = 0 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -34 - -37. Suppose 25 = u*z - 35. Suppose -3*v + 7*v = -z, 5*v = -2*y - 11. Calculate the greatest common divisor of 7 and y.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*r + 40 = 5*r. Calculate the common denominator of (((-481)\/390)\/(-37))\/(4\/(-445)) and ((-2)\/r)\/(12\/(-50)).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -178.3 - -178. What is the closest to n in 1, 3, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence eeeu when four letters picked without replacement from {u: 1, e: 4, w: 11, f: 1}?\nAnswer: 1\/2380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let a(w) = -2065*w + 3615. What is the tens digit of a(-8)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -1.56 - -1.7. Let j = -1.86 - a. What is the second biggest value in -0.5, 13, j, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3771.300953 rounded to 0 decimal places?\nAnswer: 3771","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of (2 + 63\/(-14))*49574\/(-35).\nAnswer: 3541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 18 = 5*c - 12. Let g(f) = -4*f + 9. Let h(b) = 13*b - 28. Let w(p) = -7*g(p) - 2*h(p). Does 4 divide w(c)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is one quarter of a century in months?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let q(l) = -2*l**2 - 10*l - 4. Let u(y) = -y**2 - 3*y - 1. Let t(f) = -2*q(f) + 7*u(f). Calculate t(1).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1?  (a) 0.2  (b) -1\/5  (c) 4  (d) -5\/32\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is (2610\/(-405))\/(8\/(-217044)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -82 + 132. Let w = p - 43.2. What is w rounded to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (-13 - 2)*(-9 - 178\/(-20)). What is z in -15\/2*z + 3*z**3 - c*z**2 - 3 = 0?\nAnswer: -1, -1\/2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*z - 10*d = -46, -5*z - 129*d + 133*d + 86 = 0 for z.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-2 + 3 + 1)*(-3 + 6 + 3)*(16*j - 6*j**2 - 16*j) to s*j**2 + f + l*j and give s.\nAnswer: -72","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 47525 + 136395 = 2*k - 91526. 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 -9550*m**2 - 2688*m - 1 + 2688*m.\nAnswer: -9550*m**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*d + 125*s - 34 = 121*s, -5*d + 25 = -2*s. Calculate the remainder when 13 is divided by d.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*l + 3*s - 114436 = -11*l, -3*s = -l + 22898. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 9932452?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between -2062467358 and -5728?\nAnswer: 2062461630","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Determine n so that -2*n**3\/7 + 634*n**2\/7 - 3748*n\/7 + 4976\/7 = 0.\nAnswer: 2, 4, 311","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 734064166*c - 21*c**2 - 734064166*c - 24*c**2.\nAnswer: -45*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is -28248147 greater than -28248149?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -64 - -66. Let x be (-3 + b + -3)*-2. Suppose 7*h = x*h - 44. Is 6 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (1 - s - 1 + (-s + 1 - 1)*(6 + 2 - 4) + 0*s + 0*s - 2*s)*(-7 + 0 - 1) in the form v + p*s and give p.\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 179047110 and 44.\nAnswer: 358094220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 114817 to the nearest integer?\nAnswer: 339","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence afff when four letters picked without replacement from {k: 2, a: 6, f: 11}?\nAnswer: 165\/2584","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 h and 1 t when four letters picked without replacement from ththhhhhhhthtt?\nAnswer: 60\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: (-4 - (0 + -2)) + (35 - 37)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -16*l + 5*l = -264. Let j = l - -831. List the prime factors of j.\nAnswer: 3, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 103 + 120?\nAnswer: 223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -55 + 60. Suppose -20 = -0*k + 5*k, 4*k + 391 = q*b. Calculate the highest common factor of 30 and b.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 231053 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -85 - -88. Suppose 2*h + 3*l = 8, 4*l - 8 = 2*l. Let y = g + h. Is 1\/2 > y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 46 + -42.3. Let p = m - 4. Let d = 28.3 + -28. Which is the closest to 2?  (a) d  (b) p  (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(k) be the first derivative of -k**4\/2 + 2*k**3\/3 - k - 113. Determine h(3).\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(c) = -c**3 - 86*c**2 - 82*c + 266. Let k be f(-85). Solve 3*q + 10*v - k*v = -4, 3*q = -4*v + 16 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3*(5 + sqrt(1539) + -1)*1.\nAnswer: 12 + 27*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 2 or 55\/16?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(360)*2*-6)\/(sqrt(16)\/sqrt(2)*-6))\/((sqrt(9)*3*-6 - sqrt(9)) + sqrt(81)\/(sqrt(54)\/sqrt(6))).\nAnswer: -sqrt(5)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -9?  (a) -2\/199  (b) 0.7  (c) 2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 33572 divided by -3?\nAnswer: -33572\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Product of 5.122 and 2249.\nAnswer: 11519.378","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 + 0 + 1)*(49*v**3 - 30*v**3 + 32*v**3).\nAnswer: 102*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 22.6 + -23. Let q = 123\/2 - 59. Put q, 0.06, n in decreasing order.\nAnswer: q, 0.06, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is twenty-five quarters of a week in minutes?\nAnswer: 63000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let p(v) = -2*v - 20. Let f be p(7). Let t = 301 + f. What is the units digit of t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-552)\/(-23)*22\/(-33)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is (-8)\/(-12)*14\/(-28)*1?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: (-3129)\/2086*(-3)\/(-4)\nAnswer: -9\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 45 and 216.\nAnswer: 1080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:55 PM and 1:06 AM?\nAnswer: 491","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let t be -1*0\/(4 - 1). Let d(x) be the third derivative of -1\/12*x**4 + t*x + 2*x**2 + 0*x**3 + 0. Let f(a) = -3*a. Determine f(d(k)).\nAnswer: 6*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 12 or 5960\/457?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let w(x) = x**2 - 7*x + 5. Let a = 82 + -77. Suppose 4*q = -a*b + 2 + 22, 3*b = -q + 13. Determine w(b).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine p so that 3*p**2\/2 + 171*p\/2 + 1200 = 0.\nAnswer: -32, -25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 270.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 2468\/3 or 824?\nAnswer: 824","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 1 < 0.083?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -44 + 40. Let w = -0.046 - 11.954. Which is the closest to w?  (a) y  (b) 2  (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -8 - -13. Let y = 3 + n. Let b be y\/28 - (-2)\/(-7). Does -7 = b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(w) = -w**3 - 10*w**2 - w - 5. Let g be r(-10). Suppose -33 = -5*c - 4*m, -m - 42 = -g*c - 2*m. Solve 2*h + 4 = -4*x, -3*h + c - 1 = -x for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(u) = -u**2 - 7*u - 6. Suppose -2*i - 16 = 4*w - 6*i, -4*w - 21 = i. Let g be t(w). Suppose -5*l + 46 = -g. What are the prime factors of l?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 1442035 and 35.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let l(b) = -7*b + 4. Let w be l(-6). Is (-30)\/(-4)*w\/3 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1*(-1)\/10 - ((-3773)\/3630 + 1).\nAnswer: -2\/33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 218141?\nAnswer: 7, 11, 2833","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is -0.057 != 1\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 26071 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (6*(sqrt(320) + sqrt(320)*-1) + -1)**2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let l(i) = 10*i - 84. Let p be l(9). Solve 3*a - 4 = -2*r, r - 2*a = p*r + 12 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 1 times -35734\nAnswer: -35734","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 618 - 438. Calculate the remainder when q is divided by 38.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 1332 - 767. Suppose -u + o = -356. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 33175483 is divided by 394946.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -762 + 779.04. Let v = 0.32 - -16.68. Let l = g - v. Which is bigger: -0.1 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 11704\/(-224) - -68 - 14?\nAnswer: 7\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -k + 0*k - 4 = 0. Let u = 4 - 4. Sort u, 1, k.\nAnswer: k, u, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 371 = -105*j - 643 - 141 for j.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let l(q) = 3269*q**2. Let k(t) = 16*t + 1. Let j(h) = -15*h - 1. Let a(s) = -2*j(s) - 2*k(s). Determine l(a(r)).\nAnswer: 13076*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(3087) + 1)*3)**2 + -1.\nAnswer: 378*sqrt(7) + 27791","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (5 + 3 + -1 - 4) + -3.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -14 + -13. Let w = -25 - p. Find the third derivative of -2*i**4 - 4*i**2 - 11*i**w + 2*i**4 + 17*i**6 wrt i.\nAnswer: 2040*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -619, -637, -655, -673, -691, -709?\nAnswer: -727","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 327821509 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 81937720 and 25.\nAnswer: 409688600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 321791 and 664.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"}
{"text":"Question: What is 685 minutes after 2:18 PM?\nAnswer: 1:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 511834 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -45*w - 4*w + 147 = 0. Solve -w*v = 3*h - 0*h, 5 = -h for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 30 - 30. Let s = 0.4 - 9.4. Let o = s + 9.5. Which is the fourth smallest value?  (a) 2  (b) o  (c) f  (d) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add together -0.0614 and -4669589.\nAnswer: -4669589.0614","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*u + o = -4*u + 5, -o + 5 = 3*u. Let w be 0\/((-5)\/10*(2 + u)). Let n = 8 - w. Solve -3*i = i + n for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -445868 or -445492?\nAnswer: -445868","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 52244215 to the power of 1\/3, to the nearest integer?\nAnswer: 374","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -2 and 33.\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 26*p + 1495 - 4381 = 0. What is the closest to p in 4, 1\/17, -1\/2?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(j) = 59*j**2. Let m(f) = 579*f. Give m(i(y)).\nAnswer: 34161*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*w + 0 + 0)*(3 + 0 - 4)*(-34 - 3 + 3)*(4 - 1 - 2)*(2 - 2 - 2).\nAnswer: -136*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -51\/13 and 43\/17?\nAnswer: 221","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 32*h**2 - 100*h**5 - 24*h**3 + 293 - 4*h - 160*h**4 - 293 = 0. Calculate h.\nAnswer: -1, 0, 1\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*i - 9 = -5*g, 4*g = -i + 4 - 1 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1, -23\/2, -0.03, 1\/6 in descending order.\nAnswer: 1\/6, -0.03, -1, -23\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -316, 291, 1884, 4931, 9900, 17259?\nAnswer: 27476","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1, -5, 4, -0.2, 723, -76.\nAnswer: -76, -5, -1, -0.2, 4, 723","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve 27 = -5*m - 4*z, 8*z = -142*m + 147*m - 7*z - 220 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let r(n) = 3*n**2 + 4*n + 5. Let m be r(4). Let u = m - -38. Let i = u + -76. Solve -2*j + 8*t = 3*t - i, j - 13 = 2*t for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 58 at least as big as 511\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((2*sqrt(52) - sqrt(130)\/sqrt(490)) + -2*sqrt(468)*-3*-3)*2)**2.\nAnswer: 27634932\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 8042 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between 0.6452 and -3?\nAnswer: 3.6452","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: How many nanoseconds are there in 971.7949 days?\nAnswer: 83963079360000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 24 + -28 + (2 - 1) + (-9 - -11).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 387625.4 and 3?\nAnswer: 1162876.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 10647*z - 69322?\nAnswer: 10647","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((b\/((b**(-2\/3)\/b)\/b))\/b)\/b)**37\/(b**(-49)\/(b**20\/b)) assuming b is positive.\nAnswer: b**(389\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let m(h) = 2*h**2 - 2*h + 14. What is m(-7)?\nAnswer: 126","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let k(r) = -r + 2. Suppose 14 + 7 = 3*c. Let x be k(c). Suppose 3*s + 69 = 16 + 44. Is x <= s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.1437928 kilograms to micrograms.\nAnswer: 143792800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 540 a factor of 139822200?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -2*g**3*w - 28*g**3 - 105*w wrt g.\nAnswer: -6*g**2*w - 84*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 937221 is divided by 312406?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-34)\/(3264\/(-360))*(-2)\/20.\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is -542 greater than -96345\/178?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-5*g - g**3 + 5*g)*(-2*g**2 + 0*g**2 + g**2 + (1 + 0 + 0)*(0*g**2 - 3*g**2 + g**2) - g**2 + 4*g - 4*g + 0 + 0 - 2*g**2)*(-119 + 41 - 16)*(4 - 3 + 0).\nAnswer: -564*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let n(q) = q. Let k be n(2). Suppose 0 = u - 2*u + k. Solve j + u = -j for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(z) be the third derivative of -1\/280*z**7 + 1\/480*z**6 - 1\/48*z**4 - 7*z**2 + 1\/1344*z**8 + 0*z**3 + 0 + 1\/80*z**5 + 0*z. Let h(p) = 0. Calculate p.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4 + 1*(-1 + sqrt(76) + 0 + sqrt(76)) + (sqrt(76) + -6*(-1 + sqrt(76)) + 2 + sqrt(76) + 1 + sqrt(76))**2.\nAnswer: -104*sqrt(19) + 768","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 14, 21, 40, 77, 138?\nAnswer: 229","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (i**(4\/9)\/(i**(2\/19)*i))\/(i**(1\/13))**36 assuming i is positive.\nAnswer: i**(-7625\/2223)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(475) - 4*sqrt(475)) + 5)**2 + 4 + sqrt(19) + sqrt(57)\/sqrt(108).\nAnswer: -893*sqrt(19)\/6 + 4304","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 8*w - 35*w = 140*w + 1503 for w.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 5, -6261, -7, 9, 11?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 201 = -102107*a + 101932*a - 1724 for a.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 h and 2 r when three letters picked without replacement from {a: 1, p: 1, r: 2, z: 2, h: 1}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -2.8?  (a) 0.83  (b) -5  (c) 9\/14\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 697 minutes before 5:58 PM?\nAnswer: 6:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 11329041959 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 43302?\nAnswer: 2, 3, 7, 1031","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 44 and 62.\nAnswer: 2728","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is (414\/45 - (-4)\/(-20))\/(387\/645)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 35098793 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 144271747 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let z(t) = 6*t**2 + 7888*t - 31669. Give z(4).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of 110026, 220102, 330170, 440230?\n\"Answer: -4*u**2 + 110088*u - 58","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 4644*m*s**3 - 2576*m + s**2 + s wrt s.\nAnswer: 27864*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let 2*x**2\/23 + 48*x\/23 - 512\/23 = 0. What is x?\nAnswer: -32, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from mljllllhtlhlld. What is prob of sequence dlhh?\nAnswer: 2\/3003","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 4 y when four letters picked without replacement from {y: 4}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -1220030 + 304?\nAnswer: -1214221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:12 PM and 5:52 PM?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 6\/15*(-1440)\/48.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence xrrr when four letters picked without replacement from {x: 7, r: 3}?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -239383\/60 + 11984\/3. Let w(z) = 55*z**2 + 1. Let p be w(-2). Find the common denominator of (-2)\/(-3) + p\/60 and v.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of (2 - -1499)\/((-216)\/(-120) + (-4)\/5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 390 = 2*i + 4*q, -2*q - 311 - 429 = -4*i. Suppose 61 = -3*r + i. What is the remainder when r is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(q) = -q**3 + 1155*q**2 - 275709*q + 35167. Give x(818).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Express 356*v - 169090 + 0*v**3 + 169095 - v**3 as o*v + u*v**2 + r*v**3 + x and give r.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 6*s**5 + 775*s**2 - 3*s**5 - 3*s**5 + 28*s**3 - 874*s**2 - 2*s**6 wrt s.\nAnswer: -240*s**3 + 168","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2 + 0 + 0 - o)*(-4*o + 0*o - 2*o)*(-2 + 1 + 0).\nAnswer: -6*o**2 + 12*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let b(r) = 51*r + 4. Let s(i) = -103*i - 7. Calculate -7*b(p) - 4*s(p).\nAnswer: 55*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Round -9127.59 to the nearest 1000.\nAnswer: -9000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*c - 0*c - 5*b, -c + b = 0. Let h = c - -2. What is the units digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 11*f - 3*n = -1528 - 1353, -3*f - 773 = n. Which is smaller: -220 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 5 divided by 164.\nAnswer: 5\/164","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ntniyinnyytq. Give prob of picking 1 q and 1 t.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is q in -2*q**2\/5 - 62*q\/5 + 64\/5 = 0?\nAnswer: -32, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let o(b) be the third derivative of -1\/120*b**6 - 1\/12*b**4 + 2*b**2 + 0*b - 1\/3*b**3 - 1\/15*b**5 + 0. Suppose -7 = 5*q + 8. What is o(q)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -5144 + 1114*t**3 - 2225*t**3 + 1111*t**3 + 12*t - 45*t**4 wrt t?\nAnswer: -180*t**3 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*r - 4*o - 134, -3*r = -o + 56 - 142. What are the prime factors of r?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 252 - 252.191. Let r = l + 0.011. Let p = -0.02 + r. Which is the closest to -0.8?  (a) 2  (b) -1  (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(n) = n**2 + n - 4. Let p(o) = -4*o**2 + 2*o + 1. Let z(h) = -h**3 + h - 1. Let u be z(0). Let f be p(u). List the prime factors of t(f).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -104*q + 102 = 2*u, -q + 24 = 3*u + q + 25 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let t(c) = -c**3 + 26*c**2 - 100*c - 26. Let k be t(21). Calculate the greatest common divisor of k and 2923.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3419 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of 6, 25, 44, 63, 82?\n\"Answer: 19*q - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (5 + -10 - -1) + 5.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 35\/(-1 + (0 - -2)). Suppose 4*u - 5*j + 4 = 40, 48 = 4*u - 2*j. What is the greatest common divisor of z and u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 42\/5 of a litre in millilitres?\nAnswer: 8400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -k - 5*i + 92 = -68, i - 697 = -4*k. What are the prime factors of k?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 72\/90*205\/2. Let r = -32 + c. Is r a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 177.4522 - -0.0885.\nAnswer: 177.5407","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve 44 - 30 = -47*v - 80 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let d(h) = -3117*h - 748071. What is d(-240)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let h be ((-44)\/(-8) - 5)*4. Let s = -543\/7 - -77. Let i be (-1)\/1 - (-5)\/7. Which is the nearest to h?  (a) s  (b) 2  (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*m - 4*t + t - 382 = 0, 2*m = t - 155. Does 4 divide (-1837)\/m + 1\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 125211688 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of 2120, 4231, 6356, 8501, 10672?\n\"Answer: f**3 + f**2 + 2101*f + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let q(k) = -6*k**2 - 1344*k + 1601. Give q(-225).\nAnswer: 251","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 2\/11  (b) 2\/13  (c) -0.4  (d) -4\/5  (e) -1  (f) 0.2  (g) -3092\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-1)\/2 - (-350)\/4. Suppose p = m - 5*v, -5*m - 2*v = -16 - 392. Let h = m - 43. List the prime factors of h.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((i**(-1\/3)*i)**23*(i**(-1\/4))**(-34))\/((i**(-3)\/i*(i*i\/(i**(-3)\/i))\/i)\/(i**(-2)\/(i\/(i\/(i\/(i*i**(2\/23))))))) assuming i is positive.\nAnswer: i**(2887\/138)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 41 - 37. Let o be 30\/i - (-17)\/34. Solve 3*q - o = -q for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(s) = 6*s**2 - 54*s + 146. Let f = -10 + 18. Calculate the smallest common multiple of f and k(6).\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: 27443 divided by -13\nAnswer: -2111","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 2433715276 to the power of 1\/2, to the nearest integer?\nAnswer: 49333","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*z + 4*o + 4, 0*z - 2*o = 2*z. Suppose -8 = -z*r - a, -r = 3*r - 3*a - 26. Is 5 greater than or equal to r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1*sqrt(182)\/sqrt(7)*5)\/((sqrt(72)\/sqrt(588))\/sqrt(3)).\nAnswer: -35*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 1831746 rounded to the nearest ten thousand?\nAnswer: 1830000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let k(c) be the first derivative of 3\/4*c**4 + 0*c**2 + 0*c + 7 + 8\/3*c**3. What is the third derivative of k(l) wrt l?\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 35624 a multiple of 122?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) -2  (b) -481761  (c) -3  (d) -1\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -23\/5 and 342\/270 - 2\/(-15).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*h = h - 3*u + 11, 5*h = 2*u - 16. Let w be 2 - (-4 - -1 - h). What are the prime factors of 2\/4*30\/w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of -1725881, -1725878, -1725873, -1725866, -1725857, -1725846, -1725833?\n\"Answer: h**2 - 1725882","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let c(r) = -18*r**2 + 1099*r - 70. What is c(61)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-80)\/4*(-192)\/(-640)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0003308323 to five decimal places.\nAnswer: -0.00033","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -75 - 37 = -4*o. Let l = 2476 - 2280. What is the greatest common divisor of o and l?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -11050000 to the nearest one million.\nAnswer: -11000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let k(t) = 62*t**2. Let l(s) = -8876*s + 8879*s - 46 + 45. Determine k(l(z)).\nAnswer: 558*z**2 - 372*z + 62","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: 1ab9099 (base 13) to base 9\nAnswer: 17624517","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let i(u) = -u**2 - 4*u - 7. Let g = 15 + 3. Let o = -24 + g. What is i(o)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -6410, -51520, -173936, -412310, -805294, -1391540?\nAnswer: -2209700","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let y(u) = -32 - 10*u**3 - 7*u**2 + 2*u**3 - 2*u - 11 + 9*u**3. Let r be y(8). Solve 5 = -g + p, -r*p + 25 = 2*g + g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(s) = 108*s**3 + s - 1. Let x be z(1). Suppose 0*d + x = d. Suppose -g = 2*r - d, -4*r = 3*g - 2*g - 218. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 4*(-3)\/(-12)*(-261)\/3. Let x = s - -92. Solve 0 = -x*a + 4*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2*sqrt(9072) - (sqrt(63) + sqrt(252) + -1))**2 + -3.\nAnswer: -162*sqrt(7) + 45925","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 60.9 + -68. Let n = -7.049 - r. What is n rounded to two decimal places?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of -31249, -62413, -93577, -124741, -155905?\n\"Answer: -31164*b - 85","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -11 - 4 - (-10 + -13).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let n(f) = -f**3 - 17*f**2 + 20*f + 34. Calculate n(-18).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let o(j) = j + 6. Let s be o(-2). Suppose 4 = 4*c - 4*q, s*q + 7 = 6*c - c. Solve p = -c*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 - 2*x + 0)*(-3*x + x + 4*x) + (-4*x + 6*x + 0*x)*(-31*x + 130 - 130).\nAnswer: -66*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is -24 (base 5) in base 10?\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 10746928?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.1?  (a) 3\/8  (b) -3\/4  (c) 0.04  (d) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 87.2759382 rounded to the nearest ten?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 22331?\nAnswer: 137, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 27.987 + 0.013. Let h = w + -29.5. Let d = 0.97 - 0.97. Which is bigger: h or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(f) = -3*f**3 + f. Let k be c(-1). Solve 0*z**3 + 0 + 4\/3*z**k + 2\/3*z**5 - 2\/3*z - 4\/3*z**4 = 0 for z.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 225816359 a multiple of 138?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let v(k) = -50*k + 34*k - 54 + 31*k. Let i be v(6). Suppose -3*o - o - i = -4*w, -2*o + 14 = 2*w. What is the units digit of w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 4208571 is divided by 113?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 54 = 25*v - 16 - 5. Solve h = 5*y + 2 - 13, 0 = -v*h - 4*y + 5 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(j) be the second derivative of j**3\/6 - 5*j**2\/2 - j. Let c be x(9). What is the smallest value in 0.1, c, 0.3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 244*w**3 - 493*w**2 wrt w.\nAnswer: 1464","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-6 - -1) + 12 + -39 + 20?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 0.7 - 1. Let w be -13 - -20 - 8\/(-32)*-31. Which is the third smallest value?  (a) w  (b) f  (c) -4  (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -5, 3, 21, 49, 87, 135, 193?\nAnswer: 261","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -2, 2\/9, -9, 0.1196?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 4\/(-15)*(-138)\/92?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 244746?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let x(c) = -c - 2*c**3 + c**3 - 6*c**2 + 34 - 32 + 0*c**3. Let g be x(-6). Suppose -g*v + 209 = -183. Does 10 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 1.4 - -5.6. Let m = 39 + b. Let g = m + -46.00042. Round g to 4 decimal places.\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-4)\/(-13)*(-441)\/(-3528)\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 19\/35?  (a) 0.5  (b) -0.4  (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 231977864 - -98.133.\nAnswer: 231977962.133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let o(b) be the second derivative of b**3\/6 - 3*b**2 - 5*b. Let t be o(15). Solve t = -3*z - 0*z for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 59 minutes before 4:41 PM?\nAnswer: 3:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 2540323 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let l be -5 + ((-44)\/(-176) - 31\/(-4)). Put 2, -2, l, 11 in increasing order.\nAnswer: -2, 2, l, 11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(u) = -u**3 + 12*u**2 - 9*u - 16. Let n be p(11). Let t be n\/2 + (-2026)\/(-1). Let q = -1074 + t. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve o = 4*i - 6*i - 10, -2*o = i + 23 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 32\/891 and 53\/243?\nAnswer: 2673","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 18 - (-4 - (10 - 49))?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 162814 = -41*d - 88598. Is d bigger than -6132?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 14144 divided by 442?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 4037 is divided by 87?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 224 and 9884?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Express (6*g**3 - 2*g**3 - g**3)*(0 + 0 + 2)*(-2*g + 0*g + 0*g) + 2*g**4 - 6*g**3 + 6*g**3 in the form l*g**3 + j + z*g**2 + k*g + s*g**4 and give s.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-1 - 7\/21)*1272. Let f = g + 3082. List the prime factors of f.\nAnswer: 2, 3, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -73 + 76.95. Let y = h - 467.95. Let n = y + 463.99999609. What is n rounded to 7 dps?\nAnswer: -0.0000039","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 55469127.\nAnswer: 3, 7, 401, 941","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2361*h**2 - 528 + 209*h**2 + 528.\nAnswer: -2152*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from bmkwkmkbwkmmmwk. What is prob of sequence bmkb?\nAnswer: 5\/3276","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -6 - -12. Suppose d = -3*l + 3, 9 = 2*l - 5*l + 3*d. Suppose l = -s + z. Does 6 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 442 is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let m(h) = -h**2 + 1 - 2*h + 4*h**2 - h**2 + h**3. Let b be m(1). Suppose -3*d + 2*r + 25 = 0, d - b*d - 3*r = -1. What are the prime factors of d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 3532 - 2474. Let l = 455 + d. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -613*s**2 + 20*s - 15?\nAnswer: -1226","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -17*q = -22*q + 60. What is the hundreds digit of -1718*((-10)\/15 + 2\/q)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(l) be the third derivative of l**6\/24 - l**4\/12 + 2*l**2. Suppose 0 = -v + 5*v + 4. Let s(g) = -g**3. Calculate v*y(r) - 4*s(r).\nAnswer: -r**3 + 2*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let v(y) = -y**3 - 7*y**2 - y - 4. Let g be v(-7). Factor 2*z**3 + 2*z**2 - 2*z**g + 4*z**4 - 3*z**3 - 3*z**4.\nAnswer: z**2*(z - 2)*(z - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is a in 3\/5*a**4 + 0 + 0*a - 24\/5*a**2 + 21\/5*a**3 = 0?\nAnswer: -8, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -20796 + 39106. What is t rounded to the nearest ten thousand?\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5 = -g, -21*c + 16*c - 4*g = 1460. Let o = c - -896\/3. Find j, given that o + 44\/3*j + 28\/3*j**3 + 64\/3*j**2 = 0.\nAnswer: -1, -2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -2?  (a) -3  (b) -0.02  (c) -5  (d) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -14*m - 20*m - 7*m**2 + 36*m - 2*m.\nAnswer: -7*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Round -509.4 to the nearest one hundred.\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let -b**5 - 1506*b**4 + 24288*b**3 - 97408*b**2 = 0. Calculate b.\nAnswer: -1522, 0, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let j(l) = -6*l + 14. Suppose 3*i + 4*o + 96 = 0, 11 = -2*i + 4*o - 33. Let v(p) = p - 3. Let f be (-6)\/(-5)*(24 + (-38 - -9)). Give f*j(x) + i*v(x).\nAnswer: 8*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose s - 7 = 40. Suppose 5*h + s = f, -5 + 15 = 5*f. Let m = h - -13. What are the prime factors of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 5\/6 + (-8 - 102\/(-12)). Which is the closest to 10\/11?  (a) -1\/7  (b) q  (c) 1  (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(c) = 11661*c**3 - 5*c**2 + 3*c - 11. Let d = -9 - -2. Let y be r(d). Round y to the nearest 1000000.\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(147) - sqrt(3)) + sqrt(3))*-6 - sqrt(648)\/sqrt(6).\nAnswer: -48*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*v - 492 = 4*j, 0 = -0*v + 4*v + 2*j + 984. Does 31 divide 3\/(12\/v*(-2)\/4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -813*i + g + 36 = -809*i, -i + g = -9 for i.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.8718826ng in tonnes?\nAnswer: 0.0000000000000008718826","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 2\/(-1 - -9) - (-231)\/4. Suppose -3*y + 77 = -x. What is the highest common divisor of 18 and y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -2.2 + 2.7. Let q(x) = 5*x**2 + 130*x - 434. Let d be q(3). Sort d, i, -1.\nAnswer: -1, i, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -28 = -o - 4*x - 6, -3*x = -4*o - 7. Solve b = -2*y + o, 2*b + 1 = 4*y + 13 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 1\/3, -362, 0.09, 9, -3?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 12525?\nAnswer: 3, 5, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let s(x) = x**2 + 9*x - 4. Let f be s(-10). Suppose 5*r = f*r - 8. Calculate the lowest common multiple of r and 12.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -2 - -4. Suppose 12*s + s = 26. What is the third derivative of -6*n**5 - 7*n**2 + 2*n**2 + 4*n**l - n**s wrt n?\nAnswer: -360*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -3 - -3. Suppose 2*m - 6 = -u*m. Let n be m + (-12)\/8*2\/(-3). Solve 3*v - n = v for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 43.1 - 0.1. Let b = l + -42.999966. What is b rounded to five decimal places?\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 90 + -94 + 0 + -1 + -7.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -12549 = 3*l + u - 4*u, 5*l + 20923 = u. Let x be (28\/154)\/((-2)\/l). Let o = -379 + x. Calculate the common denominator of -31\/6 and o.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f**3\/2 - 2329*f**2\/2 - 14156*f + 257510 = 0. Calculate f.\nAnswer: -22, 10, 2341","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 0  (b) -1  (c) -0.03  (d) 13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is fifty-four fifths of a gram in milligrams?\nAnswer: 10800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 204311 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3, -3\/16, 2, -2 in ascending order.\nAnswer: -3, -2, -3\/16, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let o be ((-12)\/14)\/((-5)\/(-7)). Let n = 8528 - 8524. Which is the third smallest value?  (a) n  (b) o  (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -691 = -5*n - 4*i, 5*n - 10*n + 2*i = -667. Calculate the highest common divisor of n and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -1677489*w**4 + 1462394 wrt w.\nAnswer: -6709956*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Sort 10, 19, -0.02, -4.\nAnswer: -4, -0.02, 10, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*m + b = -5 - 6, -3*m - 5 = -5*b. Suppose -2*o = -5*z + 40, m*z - 25 = 2*o + 3*o. What is the smallest common multiple of 1\/z*-2 + (-302)\/(-10) and 6?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {i: 11, n: 3, w: 1}. What is prob of picking 1 i and 1 w?\nAnswer: 11\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -752*k**3 + 198811*k**2 + 2413*k - 126?\nAnswer: -4512*k + 397622","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let l(w) = -3*w**3 - 58*w**2 + 2010*w + 1837. What is l(-37)?\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (h*h**(2\/11)*h)**23*((h*(h*h**(-3\/5))\/h*h)\/h)**11 assuming h is positive.\nAnswer: h**(3002\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -2 + 25653?\nAnswer: 25651","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Express 222*s + 67*s + 89*s in the form g*s + d and give g.\nAnswer: 378","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from qqoooq. What is prob of sequence ooqq?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8 = -4*s, 5*m + 24 - 83 = -2*s. What is the smallest common multiple of m and 7?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1418317.047 nanoseconds to weeks.\nAnswer: 0.0000000023451009375","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 3058 and 264.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*u - 3*j = -99, 5*j + 11 = 2*u - 76. Suppose 5*n + 24 = -16. Is 16 a factor of (u\/n)\/((-6)\/56)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 1.43 - -0.27. Let m = z + -2. Let u = -1 + 0. Which is the closest to 0?  (a) -5  (b) u  (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0 in 0, -1.8, 2, -0.4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 146.39?  (a) -1  (b) 0.03189  (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9*g = 5*g + 88. Let z be 12\/(-30) + g\/5. Suppose 0 = -z*m - 10 + 70. What is the units digit of m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1, 3, -4, 12, 15 in increasing order.\nAnswer: -4, -1, 3, 12, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (k*(((k\/(k\/(k*k\/(k**3*k)*k))*k)\/k)\/k)\/k)**(-27\/5)\/(k**(-2\/21)\/k**(-2\/53)) assuming k is positive.\nAnswer: k**(60422\/5565)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 3318226849 to the power of 1\/4, to the nearest integer?\nAnswer: 240","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Expand (u + 2*u + u)*(-6*u**3 + 0*u**3 + u**3).\nAnswer: -20*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 19567461 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 4 + 33\/((-33)\/(-3020)) a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-2970)\/(-2640))\/(21\/(-7)).\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -128 - -77. Let g be (2 - 7\/3)*k\/17. Which is smaller: -2\/15 or g?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1?  (a) -4664\/7  (b) -0.8  (c) -0.054  (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((a*a**(3\/2)*(a*a\/(a*a**(-3)))\/a*a)**15)**27)**(-4\/13) assuming a is positive.\nAnswer: a**(-810)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"}
{"text":"Question: Let a(j) = 2*j + 1. Let m(s) = -5*s - 2. Let o(f) = f**2 + 3*f + 2. Let c be o(-4). Let d(w) = c*m(w) + 14*a(w). Give d(4).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3 a factor of 597007?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Round -2469580 to the nearest ten thousand.\nAnswer: -2470000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*p - 8*p + 4*u = -14, 15 = 4*p + 5*u. Solve -8*k = -3 - p for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -7073 - -6947. Which is smaller: 3 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: (4\/(-8)*4)\/((-2)\/13)\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 11  (b) -2  (c) 2  (d) 2357\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -0.5, -5\/2, 2272727?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let d(t) be the first derivative of -15*t**2 - 790. Let x(w) = 24*w**2. What is d(x(p))?\nAnswer: -720*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: 5 + (-3 - (-1 - -1))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4378*w - 8753*w + 70 = -4380*w for w.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -16*w**2 + w + 34 - 4*w + 3*w**3 - 7 + 8 - w**3 wrt w?\nAnswer: 12*w - 32","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-59)\/((26\/2 - 5)*(-88)\/(-704)).\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 741232.7 centimeters to micrometers.\nAnswer: 7412327000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from nnnnnnnnnn. Give prob of sequence nn.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Divide 5 by 169.\nAnswer: 5\/169","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Factor 516*n**2\/7 - 177*n\/7 + 12\/7.\nAnswer: 3*(4*n - 1)*(43*n - 4)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 1422390 and 1530.\nAnswer: 4267170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 116113.527716 + -116114. Let x = 0.59236 + u. Let j = x - 0.12. Round j to five decimal places.\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(r) = -r + 2. Let g be b(7). Let o = g - -8. What are the prime factors of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -11 + -10?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 344 minutes before 1:37 PM?\nAnswer: 7:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3 - 3 - 2*z)*(4 - 4 + 4)*(158*z - 385*z - 384*z - 621*z).\nAnswer: 9856*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 3528769870 to the power of 1\/7, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Express (-4 + 5 - 9)*(60 - 26 + 10)*(-x - 5*x + 3*x) - 4*x + 4*x + 3*x in the form g*x + d and give g.\nAnswer: 1059","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 3739?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 1232\/(-560) + 22\/10.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in -0.2, -1\/3, -2.8, -1\/2, 1?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 12\/(-8)*(-4)\/3. Suppose 22 = m + g, 5*g = 2*m + 10*g - 44. What is the greatest common factor of d and m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -6 - -16. Let v(x) = -3*x**3 + 2*x**2 + 4*x + 3. Calculate the remainder when v(-2) is divided by 35\/2*8\/l.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(500) - sqrt(500)*4*-5)\/(sqrt(10) - (sqrt(10) + (sqrt(30)*3 - sqrt(30))\/sqrt(3)) - sqrt(10)).\nAnswer: -35*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3302, 3, 4, -5, -416, 1.\nAnswer: -416, -5, 1, 3, 4, 3302","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of -570, -567, -436, -171, 234, 785, 1488?\n\"Answer: v**3 + 58*v**2 - 178*v - 451","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence dj when two letters picked without replacement from {k: 2, g: 3, d: 1, j: 3, y: 1, w: 2}.\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 31598 and 444.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of -88, -277, -466?\n\"Answer: -189*u + 101","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:10 PM and 7:56 PM?\nAnswer: 286","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Factor 863*a - 2*a**4 + 7 - 19 + 44*a**2 - 2*a**3 + 12 - 783*a.\nAnswer: -2*a*(a - 5)*(a + 2)*(a + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(q) be the third derivative of -23*q**7\/70 + q**6\/120 - 97*q**5\/30 - q**4\/8 - 1232*q**2. Find the third derivative of y(b) wrt b.\nAnswer: -1656*b + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -5 - -245?\nAnswer: 240","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Express -6 - 2 + 195*i**3 + 0 - 1 + 4 in the form a*i**2 + v*i + y*i**3 + p and give p.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-6)\/(-8))\/(0 - 27\/(-8))?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 9351\/7 > 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 60256 and 143108.\nAnswer: 1144864","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: -0.787+-0.287\nAnswer: -1.074","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Express -2*h**2 + 7*h**2 - 16*h**2 - 2*h**3 in the form v + b*h**2 + r*h + n*h**3 and give b.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 + 1 - 3*j + (3 + 0 - 4)*(3*j - 6*j + 4*j) - j - 3*j + 3*j)*(10032*j**2 + 36 - 36 - 94274*j + 94276*j).\nAnswer: -50160*j**3 - 10*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 7 - (2 + -10 - -14).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-3 + -1*sqrt(605))**2 + sqrt(10)\/(-5*sqrt(8)).\nAnswer: 659*sqrt(5)\/10 + 614","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of -169, -326, -469, -598, -713?\n\"Answer: 7*m**2 - 178*m + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 1944 - 1925. Solve b*x - 32*x = -65 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of -20972, -20784, -20454, -19970, -19320, -18492, -17474?\n\"Answer: 2*a**3 + 59*a**2 - 3*a - 21030","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is -77 < -227\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 12259, 21197, 30135, 39073?\nAnswer: 48011","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(539)*-4 + sqrt(55)\/(sqrt(5) - -1*sqrt(5)))**2.\nAnswer: 33275\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let 2*o**4\/15 - 3934*o**3\/15 - 11918*o**2\/15 + 38630*o\/3 - 11820 = 0. What is o?\nAnswer: -9, 1, 5, 1970","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1663*g = 1875*g + 2544 for g.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 61*g - 385030 = 18241. What is the tens digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 242408084?\nAnswer: 2, 60602021","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let v(l) = 31*l**3 + 1137*l**2 - 7937*l - 4. Determine v(6).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is -20980 plus 6?\nAnswer: -20974","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 0.0877 + -0.08769403. Round z to six dps.\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*h - h + 2*s - 8 = 0, -21 = 5*h + 3*s for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: ((-752)\/128 + 7)\/(-10 + 239\/24)\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify b*b**(3\/19)*b*b*(b*b\/(b\/b**38))\/b assuming b is positive.\nAnswer: b**(782\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Factor -5*n**2 + 0*n**2 + 5 - 5*n + 5*n.\nAnswer: -5*(n - 1)*(n + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 176a7 (base 15) in base 5?\nAnswer: 4411012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -g + 3*g - 2*d - 6 = 0, -9 = -4*g + d. Solve -p - 11 = -5*m, 3*m - g = -0*p - 4*p for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 2*q**4*w**2 + 44*q**4 + 74*q**3*w**2 - 845*q**2*w**2 + 18*q*w**2 wrt q?\nAnswer: 48*q*w**2 + 1056*q + 444*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*i**3 - 390408*i**2 - 16*i + 1561632 = 0.\nAnswer: -2, 2, 97602","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 108*y**3 + 156*y**3 - 196*y**3.\nAnswer: 68*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from jqqqjqjqqjqjo. What is prob of sequence qoq?\nAnswer: 7\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 206473655 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: Let z be (-4)\/(-12) + 19\/(-3). Let t be z\/16 + (-171)\/(-72). List the prime factors of (t\/3)\/((-14)\/(-945)).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(x) = 13*x - 87. Give i(14).\nAnswer: 95","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -4678296*w**2*y**3 + 4*y**3 - 1467080*y with respect to w.\nAnswer: -9356592*w*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 7355635 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let o(u) = -2*u + 10. Let t be o(15). Let d(g) = -g**2 - 34*g + 14. What are the prime factors of d(t)?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -48 - 25 + 25 + 2*l as w + j*l and give w.\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 1 + -7. Let x = d + 11. Suppose n - 2*n = -4. Solve w - 2*r - n = -4*r, x*w = 4*r - 36 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (i\/i**13)\/i**(-8)*i**10*i**(-13)\/i assuming i is positive.\nAnswer: i**(-8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify r**(2\/27)*r*r**5*r\/(r\/r**18)*r**(2\/11) assuming r is positive.\nAnswer: r**(7204\/297)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -2 - -102b?\nAnswer: 1029","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -28*o + 2195 + 717. What is the remainder when o - (7 + (-7 - -2)) is divided by 43?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -118 - 5.68.\nAnswer: -123.68","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 5ebf - 36b?\nAnswer: 5b54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 55253173247 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 2*s**5 + 2*s**4 - 20523405*s**3 + 48570693*s**2 - s.\nAnswer: 120*s**2 + 48*s - 123140430","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3 + ((-4*sqrt(504))\/(sqrt(2)*-2*2))**2 + -2.\nAnswer: 253","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 98879\/19390 + 1\/1939. What is the common denominator of (2\/24)\/((-1)\/22) and d?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (116\/(-290))\/((-40)\/(-25) - 2). Sort 0, -3, 91, d in decreasing order.\nAnswer: 91, d, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 10 divide 93892?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((a\/(a**(-3)*a*a))**(-12\/13)\/(a\/(a*a*a\/a**(-1)*a))**(-9\/2))**22 assuming a is positive.\nAnswer: a**(-5676\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let c(x) = -2*x**3 - 5*x**2 + 4*x + 8. Let r be c(-4). Let q = r - 40. Suppose -20 = -5*j - q. Is j a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of ((-5)\/135)\/(100\/2445) and -1 - ((-791)\/126 - -5).\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -3\/2?  (a) -24  (b) -2\/19  (c) -7\/3  (d) 0.1  (e) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let t be ((-6)\/10)\/((-66)\/220). Let d(g) = 5*g + 2*g + t*g - 4*g. Let b(w) = 2*w. What is b(d(u))?\nAnswer: 10*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*j + 10 = -0*j. Let d(l) = 8*l**2 - 2 - 3 + j. Let s(z) = -z. Give d(s(g)).\nAnswer: 8*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let h(v) = 46*v**3 - 3*v + 2. Let u(z) = 7*z**2 - z. Let x be u(2). Let t = x + -25. What is the tens digit of h(t)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 670, 663, 654, 643, 630, 615?\nAnswer: 598","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is ab857 (base 14) in base 5?\nAnswer: 101302424","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*h**2 + 3*h**3 + 2*h**2)*(0*h - h + 0*h) - 3*h**4 - h**4 + 3*h**4 - 42*h**2 - 1 - 44*h**2 - h**4 + 84*h**2 - 2*h**3 + 3*h**4 - 2*h**4 + 0*h**4.\nAnswer: -4*h**4 - 2*h**3 - 2*h**2 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let o(q) = 5*q + 1. Let y be o(4). Let c = y - 12. Calculate the greatest common divisor of c and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 41411424, 82822847, 124234270?\nAnswer: 165645693","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*z - 100 = 0, -7575*d = -7577*d + z + 15 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:44 AM and 5:47 AM?\nAnswer: 63","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let x(b) = 3*b**2 + b + 31. Suppose 201 - 233 = -4*k. List the prime factors of x(k).\nAnswer: 3, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/50 of a century in years?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -19 = 5*h - 209. Suppose 4*l + 14 = h. Suppose -l*n - 1008000 = -2*n. Round n to the nearest ten thousand.\nAnswer: -250000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*s + 333 - 60 = 0. Suppose 0 = 46*d - s - 53. Factor -2\/3*p**3 - 2*p**2 - 2\/3 - d*p.\nAnswer: -2*(p + 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 1038652 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let o(v) = -v**3 + 2*v**2 + 4*v - 1. Let g be o(3). Suppose 6*m = g*m + 532. What is the units digit of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 321 minutes after 11:10 PM?\nAnswer: 4:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-11150 - -11160) + (1 - (1 - 1) - -9).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Put 0, -8, 1, -516 in descending order.\nAnswer: 1, 0, -8, -516","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve 109*d - 104*d + 12 = -3*k, 8 = -2*d + 2*k for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Does 132 divide 152724?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Convert 210 (base 3) to base 10.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4*j**2 + 71544*j - 501004.\nAnswer: 4*(j - 7)*(j + 17893)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is (96\/(-84))\/(15\/28*-1) - 2?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -184096022*i**2 - 119053969 wrt i.\nAnswer: -368192044*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Divide 6 by -5269.\nAnswer: -6\/5269","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 55 = 7*j - 99. Suppose 3*r + 4*d + 0 - 17 = 0, 5*d = -4*r + j. Sort -5, 27, r in descending order.\nAnswer: 27, r, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 7189 and 28.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -b = -13 - 1. Let f be (1645\/(-14) - -2)*-2. Suppose 0*y = -11*y + f. Calculate the remainder when y is divided by b.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -169\/47 or -3?\nAnswer: -169\/47","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Sort 6314, 2, -5 in decreasing order.\nAnswer: 6314, 2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 1 + ((-7)\/21*1)\/((-2)\/24). Let i(a) be the second derivative of 0 + 6*a - 7\/130*a**h + 0*a**2 - 2\/13*a**3 + 23\/78*a**4. Factor i(l).\nAnswer: -2*l*(l - 3)*(7*l - 2)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 307582781 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-9)\/((-72)\/(-20))*8\/(-10). Suppose m = p*f - 195, f - 5*m - 405 = -3*f. List the prime factors of f.\nAnswer: 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be ((-80)\/24 - -4)*(-10)\/(-124). Does l = 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 322096 and 156702.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 42  (b) 0  (c) 3\/8  (d) -2291\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Round -6.4364663 to 2 decimal places.\nAnswer: -6.44","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 39*x - 91*x + 80*x - 20*x.\nAnswer: 8*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 2028 and 36?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9*u = 6*u - 12*u. Solve u = 5*h + m + 2, -h + m - 5 = h for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify j**3*j\/j**18*(j\/(j\/j**(-6\/11)))\/(j\/(j**20\/j)) assuming j is positive.\nAnswer: j**(38\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let v(y) = y**2 + 4*y - 9. Let r be v(-5). Let h = r + 8. Suppose -q + h = -3. Does 7 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*c + 5*h = 436 - 485, 3*h + 15 = 3*c for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (0 - 20) + 48 + -26.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 385691 is divided by 77?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 24003 + 7886*w - 24003 + 55392*w.\nAnswer: 63278*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let d(t) = -84*t**2 - 13*t + 4. Let i(v) = 1059*v. Give d(i(x)).\nAnswer: -94204404*x**2 - 13767*x + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 f when two letters picked without replacement from fwlowoflf?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Sum 0.30183 and -165996.\nAnswer: -165995.69817","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (2 - 4)*18\/(-4). Suppose y = -5*s + 29. Suppose 0 = 2*a + 2*a - 3*p - 17, -4*p - 4 = s*a. What is the units digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*j + 0 + 32 = 0. Which is the third biggest value?  (a) -0.5  (b) 3  (c) j  (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 6*22\/9 - (-1)\/3. Let q be (77\/(-35))\/((-12)\/v) + -2. Solve 1\/4 + 1\/4*t**3 + q*t + 3\/4*t**2 = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth smallest value in 2\/15, 1, -1\/3, -0.04, -5, 1\/3, 3\/5?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*p - 2*p + 4*r - 9 = 0, 0 = 3*p - r - 27. Let m = p - 5. Let x be (28\/(-6))\/(4\/(-6)). Solve m*a + 3*q = x, -5*a + 5 + 18 = -q for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((s**(1\/3)\/s)\/s)\/(s\/s**5)*s*s\/s**4*s**(-7)*(s**1\/s)**(-46)*(s**(-2\/7))**(17\/3) assuming s is positive.\nAnswer: s**(-58\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 3920574341 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: (-3800)\/(-125)*(10\/(-20)*-1)\/(9\/45)\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*p + 20 = 4*p. Suppose 4*b = p*r + 74, 0 = 4*b + r + 3*r - 92. Let f = b - -14. What is the highest common divisor of 5 and f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -25 = -38*x + 4 + 9 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-1900)\/210 - -9)*(1 - (-1 - 4))?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -198*a = -183*a - 210. Suppose -2*z = 2 - 20. Calculate the smallest common multiple of a and z.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(t) be the second derivative of -2*t**3\/3 - 11*t**2\/2 - 12*t. Let j be g(-2). Let d = -25 - -25.5. What is the closest to j in 4, -2, d?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {z: 2, a: 1, d: 2}. What is prob of sequence dazz?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*u - 412 = 128. Let p = u + 213. Is p a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 64114109?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 53 + -48. Suppose -s*g + 662 = -78. What is the hundreds digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: 12645440 + -8.398\nAnswer: 12645431.602","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -102*w + w**3 - 6*w**2 + 4*w**2 + 103*w - 5 - 5 + 1 to o*w + z + m*w**2 + x*w**3 and give x.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -39495 = -5*y + 5*g, y - 3384 = -4*g + 4545. What are the prime factors of y?\nAnswer: 3, 5, 17, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 0  (b) -1  (c) -1073255\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(48)*-5 - sqrt(3) - (sqrt(3)*-2 - sqrt(3))*-3) + 5)**2.\nAnswer: -300*sqrt(3) + 2725","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Product of -0.085 and -0.02735311.\nAnswer: 0.00232501435","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-1)\/(-3) + (-2334)\/(-36). Let o = 65 - l. Which is smaller: o or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -15 - -20. Let b = -7 + 10. What is the smallest value in d, 0.4, b?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -28 + 15. Let k = u - -14. Let w(r) = 1937*r**3 - r**2 + 3*r - 2. Is w(k) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be -2 + 3*(-2)\/(-6). Let r = q - 0. Let s = r - -4. Which is the nearest to 0?  (a) -2  (b) s  (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 681 minutes after 5:24 PM?\nAnswer: 4:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) -1\/3  (b) 3.3  (c) -11  (d) 0.1  (e) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let q(p) = -52*p**2 - 2*p. Let c(h) = 194*h**2. What is q(c(w))?\nAnswer: -1957072*w**4 - 388*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -56 - -56.075. Let v = m + 0.225. What is the closest to -2\/3 in -24, -0.2, v?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -159622\/18909 - 6\/2101. Calculate the common denominator of f and -61\/34.\nAnswer: 306","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 93.38822 centuries in millennia?\nAnswer: 9.338822","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 5 - (17 - -3 - ((156 - 11) + -55)).\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((b*b*(b*(b*b**1)\/b*b)\/b)**(-36)*b**(-1\/6)\/(b\/b**(-1\/2)*b))\/((b\/(b\/(b\/(b*b\/(b*b\/b**(-2\/9)*b))))*b)**(-15\/8))**(5\/3) assuming b is positive.\nAnswer: b**(-9835\/72)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (39\/(2145\/(-352)))\/((-4)\/10). Solve -z*s - 49 = 15 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 122 - 11211?\nAnswer: -11012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -4 + 6. Let w(g) = g**3 - 18*g**2 + 36*g - 60. Let u be w(16). Suppose u*c = o + 14 - 18, 4*c - 44 = -3*o. Solve -3 = t - 5*a - 18, o = z*t - 4*a for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 1296 and 76128.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2034 is divided by 225.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: How many years are there in 8\/25 of a century?\nAnswer: 32","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -83390\/127 or -658?\nAnswer: -658","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 17 - 1?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 31223 + 202?\nAnswer: 31430","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in -0.3, -4, 0.2, -2\/17?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: 601 - -25\nAnswer: 626","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*x + 38 = -34. Let l be (-4)\/x + (-1)\/3. Let v = 8 + -8. Which is greater: v or l?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 7.2 - -1.8. Let t = 9.00002 - b. Round t to 4 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 282 and -5?\nAnswer: -1410","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is ab7 - 4?\nAnswer: ab3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 d when two letters picked without replacement from {y: 6, d: 4}?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between -307377 and -16.5?\nAnswer: 307360.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-472)\/(-6)*15\/10. Let i = s - 246. Round i to the nearest 10.\nAnswer: -130","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -w + 6*w - 165 = 0. Calculate the remainder when 44 is divided by w.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 573, 381, 189, -3, -195?\nAnswer: -387","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 7782 = 54*w + 7242 for w.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -160, -208, -256, -304?\nAnswer: -352","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let 2*v**2\/17 + 36808*v\/17 + 65241158\/17 = 0. What is v?\nAnswer: -16417, -1987","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 3 + 76 + 0 - (2 + -8 - 2) - -14?\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.4 - -0.088.\nAnswer: -0.312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 67555.\nAnswer: 5, 59, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 156160*s**2 - 312331*s**2 + 156172*s**2.\nAnswer: s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 8723 to the power of 1\/2, to the nearest integer?\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 11875 and 171.\nAnswer: 106875","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 13516?\nAnswer: 2, 31, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*a + 2*a - 84 = -25*b + 21*b, -5*b - 27*a = -6*a - 105 for b.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -1.6 - 0.2. Let x = -0.2 + g. Which is the smallest value?  (a) x  (b) -1  (c) -6\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 286\/44*(3 + -1). What is the units digit of g\/((-1326)\/12) - 7465\/(-17)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(q) be the third derivative of q**8\/6720 - q**6\/720 - q**5\/20 + 2*q**2. Let g(z) be the third derivative of w(z). Find the first derivative of g(s) wrt s.\nAnswer: 6*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 114*10\/(-70)*-14. Calculate the greatest common divisor of 24 and j.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 3525 to the nearest integer?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Convert -6 (base 13) to base 11.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:07 PM and 9:49 PM?\nAnswer: 462","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let z(d) = 25*d. Let k(s) = 16*s. Calculate k(z(f)).\nAnswer: 400*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (5 - (-4 + 9) - -8) + -32 + 4.\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 1013570 and 19245?\nAnswer: 3040710","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 959249338.\nAnswer: 2, 277, 1731497","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (14\/(-7))\/((-2)\/143). Let k = l + -32. What is the tens digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:02 PM and 7:33 PM?\nAnswer: 211","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Sort 9, 1\/7, -0.08, 1, 3, 0 in descending order.\nAnswer: 9, 3, 1, 1\/7, 0, -0.08","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let j(a) = 2*a + 834. Let k(b) = -3*b - 1333. Let n(s) = 8*j(s) + 5*k(s). Let f be -1 + 3 - (-2 + 4). Calculate n(f).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (1\/(-22))\/((-29)\/58).\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -100 (base 2) in base 14?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10293 = -16*q + 62267. Does 34 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 3.4 - 3. Let t = h - 0.397. What is t rounded to three decimal places?\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-9 + 9 - 4*i)*(-6 + 0 - 4*i + 2*i).\nAnswer: 8*i**2 + 24*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (24*f**2 - 67*f**2 - 6*f**2 + 3)*(-4*f + 2*f + 3*f) to i*f + j*f**3 + z + m*f**2 and give j.\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 56794400 rounded to the nearest 100000?\nAnswer: 56800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.00010620332 to 5 dps.\nAnswer: -0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let p(d) = d**2 + 5*d. Let v(h) = -h. Let z(w) = 3*w + 1. Let y(n) = n**3 - 8*n**2 + 7*n + 3. Let o be y(7). Let m be z(o). What is m*v(j) + 2*p(j)?\nAnswer: 2*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let p(l) = 25*l**2 + 2*l + 2. Let a(n) = -3151*n**2 - 253*n - 253. Suppose 14*h - 28 = -3570. Give h*p(r) - 2*a(r).\nAnswer: -23*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((w**(-8\/3)\/((w*w*w**(6\/7)*w*w*w)\/w))\/(w**(2\/7))**32)**(-2\/145) assuming w is positive.\nAnswer: w**(20\/87)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 2\/92*-4 + 1406\/6118. Let h = -1.8 + -1.2. Which is the nearest to -0.2?  (a) 5  (b) h  (c) 18  (d) r\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -79, -151, -197, -205, -163, -59, 119, 383?\nAnswer: 745","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 378907703 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 0 + 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve -14*d + 4 - 17 - 29 = 0 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 2231 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 0.04 + 0.36. Let p = 0.04 - 1.14. Let b = p + 1. What is the nearest to b in 2, i, 4?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -3 in -0.13, 292, 11, 0.2, 4?\nAnswer: -0.13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 2\/21 of a week in seconds?\nAnswer: 57600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 241940696?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*t - 2*h = -6*t + 4, 10 = 5*t - 3*h. Let u(i) = 22 - 22 - t*i. Let n(v) = 2*v**2. Determine n(u(x)).\nAnswer: 8*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 3794112 a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*v + 5*u = 7 - 32, -5*v + 4*u = -24. Calculate the smallest common multiple of 9 - 0 - (-6 + 7)\/(-1) and v.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -25*w**3 + 4*w**2 - 4*w**2.\nAnswer: -25*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.5442 + 0.1?\nAnswer: 0.6442","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Are -37841 and -37840 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -23101 + 38696. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -g + 5*r - 45, 2*g = -3*g - 2*r - 117. Let n = g - -43. Solve 2*v = 5*k - n, 3*v = 2*k - 3*k + 7 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 1824065 to the nearest integer?\nAnswer: 122","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*u = 4*u. Suppose -5*o = -4*t - 8, -4*t + 25 = -t + 4*o. What is the units digit of (u + -1)*(-3)\/t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 16036 - 15556. Solve 4*i = -4*l + d - 476, -5*l - 2*i - 1 = 0 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-14)\/9)\/((-2496)\/108 + 23).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(c) = 25*c**3 + 6*c**2 - 4*c - 13. What is the thousands digit of y(5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(q) = q**2 - 4*q + 6. Determine s(-5).\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.4 + -0.17655?\nAnswer: -0.57655","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of -1286, -2571, -3856, -5141, -6426, -7711?\n\"Answer: -1285*i - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 792 and 6710?\nAnswer: 241560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 97185082?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let b(y) = -31*y + 1. Let i(a) = 36*a. Let p(m) = 7*m. Let n(d) = 4*i(d) - 21*p(d). Calculate b(n(t)).\nAnswer: 93*t + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let g(l) = 7*l**3 + 43*l**2 - 119*l + 1494. What are the prime factors of g(20)?\nAnswer: 2, 11, 19, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 15389 a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 0 divided by -87405410?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 0.4 - 0.3. Let h = 1.9 + a. Let o = -0.2 - 0.1. What is the nearest to h in 5, 0, o?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 480803 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let m(d) = d**3 + 3*d**2 + 4*d + 4. Suppose -s - 65 = -63. Let i be m(s). Solve a = -i*a + 4 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*r - 3*n - 124 = -5*n, 5*n = 3*r - 89. Suppose 0 = -h - 3*d - 37, d - 5*d - r = h. Let y = 65 + h. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-9)\/33*(-16)\/(-24).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -12*l - 8 + 20. Let k be l\/5 + (-252)\/(-15). Solve 4*r + 4*n + 11 = -17, 3*n + k = -r for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (3 - 2)*10*(-3)\/(-6). Suppose -3*b = 2*m - 6, -2*m + r*b = -1 + 11. Factor 0*g + m*g**2 + 1\/8*g**3 + 0 + 1\/8*g**5 + 1\/4*g**4.\nAnswer: g**3*(g + 1)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 24 divide 456317?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(132)*-2*4)\/(-1*sqrt(192)) + (-6*(1 + sqrt(44)))**2 + 4.\nAnswer: 146*sqrt(11) + 1624","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: How many centimeters are there in twenty-five halves of a meter?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of -1, -37, -93, -169?\n\"Answer: -10*b**2 - 6*b + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -52254 = 5*k - 3*x - 139491, -x + 87221 = 5*k. List the prime factors of k.\nAnswer: 3, 5, 1163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*l - 6 = -3*l. Let w be 20\/40*0\/(9\/(-3)). Let g be w + -1 - (-1 - l). Solve -25 = b + 4*h, -4*b - 9 = -g*h + 1 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 854?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {l: 1, c: 2, t: 4, s: 2}. Give prob of sequence sctc.\nAnswer: 1\/189","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 825 and 6.\nAnswer: 1650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 30419?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let b(u) = -u**3 - 3*u**2 - 11*u - 1. Let n be b(-10). Suppose -1188 = -4*q - 4*g, 5*q - 4*g + n - 2258 = 0. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*m + 7*m = -30. Let c be 32\/m*(-9)\/6. Suppose p = -3*p - c. Let x(n) = -n**2 - 2*n. Give x(p).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 525 minutes after 9:10 AM?\nAnswer: 5:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -2\/7?  (a) 0.3  (b) 1.8  (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -11377 - -11438. What is the remainder when 2007 is divided by u?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -8*m**5*y**2 + 39*m**2*y**2 - 5195*m*y**2 + 3*m*y + 3*y**2 wrt m?\nAnswer: -160*m**3*y**2 + 78*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 1 + -8 - 1\/(65210\/(-8150) + 8). Solve 83*a + 18*a = d for a.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*c - 3*l + 8, -l = 4*c - 3*l + 6. What is the third biggest value in c, 3, -0.04?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from bbbbbybbbbbbyy. What is prob of picking 2 y and 1 b?\nAnswer: 33\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3 - 3 + 8*y**3)*(2*y - 4*y + y)*(0 + 19 + 0)*(5 - 4 + 3).\nAnswer: -608*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is (-1588)\/30*1 - (-167 - -163) - (-13)\/(-195)?\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(q) = -q**2 - 20*q + 18. List the prime factors of u(-13).\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*v - 2, 0 = -2*n - 2*v + 9 + 15. Let i(s) = s - 8. Let c be i(n). Suppose 0 = -6*p + 2*p + 16. Solve -b = -4, 4*d - 12 = p*b - c*b for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*h = -60*h - 348 for h.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let f(b) = b**3 - 6*b**2 + 3. Let y be f(6). Let j(m) = -m**3 + 3*m**2 - 2*m + 2. Let w be j(y). Is (-78)\/w*2\/3 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-6 - 0 - -4) + 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.8?  (a) -20  (b) -2\/9  (c) 1\/1682\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 121, 249, 391, 553, 741, 961?\nAnswer: 1219","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1 in 4, -8, 0.19, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let k(w) = -2*w**3 + 5*w**2 + w - 2. Let o be k(-1). Let z(n) = -9 - 3*n**2 + 5 + n + 3 + 0*n + o. Let p(f) = 0*f**2 + 1 + f**2 - 2*f**2. Give 5*p(r) - z(r).\nAnswer: -2*r**2 - r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth biggest value in 1\/4, -1\/8, 16, 4\/5, 21, -28687?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let t(d) = -d**3 + 57*d**2 - 84*d - 238. Is t(40) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 1 + 5. Suppose k = v*k - 20. Suppose 0 = k*a + 3*i - 60, a - 20 = -2*i - 0*i. Solve 4*x - a = -2*b, 4*x + b - 1 = 13 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Do -1.2 and 16.6 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-3192)\/(-399) + (-38)\/(-2). Let k(d) be the first derivative of 0*d + 0*d**2 + d**3 + 0*d**4 + 32\/5*d**5 + s. Find the third derivative of k(t) wrt t.\nAnswer: 768*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -118710*p**2*t**2 - 3*p**2 - 4514*t wrt t.\nAnswer: -237420*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*x = 12*w - 8*w - 3703271, 4*x - 4629091 = -5*w. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -102480, -205404, -308338, -411288, -514260, -617260, -720294?\nAnswer: -823368","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 81404 to the power of 1\/3, to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 634?\nAnswer: 2, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve w + 71 = 4*w - 4*i, 7*i + 77488 - 77402 = 3*w for w.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: -224.8023 times 4\nAnswer: -899.2092","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -8 - -9. Let c be (48 - (r + -3))\/2. Suppose -3*f = -38 - c. What is the units digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*r + 54 = -6*r. Let l(p) = -11*p**2 + 5. Suppose 3*i - 9 = -3. Let w(h) = 0*h**2 - 5*h**i + 3 - 1. Determine r*w(n) + 4*l(n).\nAnswer: n**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let n be ((-20)\/(-5) - (-9)\/(-2))*-224. Let u = -115 + n. Let z(y) = 3*y**2 - y - 1. Let x(m) = m**3 + 7*m**2 - 3*m - 2. Give u*x(l) + 7*z(l).\nAnswer: -3*l**3 + 2*l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -0.2 - -1.2. Let i be (6\/(-12))\/((-3)\/(-12)). What is the nearest to i in -3, j, 0.3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -0.124 - -0.224. Let j be (-21)\/(-63)*(-6)\/7. Let i(l) = 5*l. Let d be i(1). Which is the biggest value?  (a) j  (b) z  (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(d) = -13*d + 5. Let z(j) = 38*j - 14. Let b(i) = -8*t(i) - 3*z(i). What is the first derivative of b(u) wrt u?\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(a) = -182*a - 11. Let l(y) = 2. Determine -5*l(p) - s(p).\nAnswer: 182*p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let a(k) be the third derivative of -k**4\/8 - 49*k**3\/6 - 2*k**2 - 38. Does 6 divide a(-28)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 388?  (a) 0.5  (b) 2\/7  (c) 2\/13  (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -1249 + 138641\/111. Let a(s) = 13*s - 117. Let u be a(9). Is m > u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 5167102?\nAnswer: 2, 59, 43789","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let -5*l**5 - 210*l**4 + 4655*l**3 + 34300*l**2 - 432180*l - 2689120 = 0. What is l?\nAnswer: -56, -7, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 21965*r**6 + 14*r**4 + 1210466*r**2 wrt r?\nAnswer: 2635800*r**3 + 336*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 2\/21  (b) 455  (c) -0.4  (d) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Convert 3 (base 14) to base 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1196*x**2 + 2*x + 1204*x**2 - 6*x - 3608*x**2 + 1190*x**2 + x.\nAnswer: -18*x**2 - 3*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*z - 3*z + 3*z)*(z + 0*z + z) - 4*z**2 + 2*z**2 + 0*z**2 - 9*z + 9*z + 11*z**2.\nAnswer: 5*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from hwwfqnnfffffrhhnnnw. What is prob of sequence hfhf?\nAnswer: 5\/2584","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let h be -1 + -1 + 2\/2. Let w(b) = b**3 - b**2 + 1. Let y be w(h). Let p be 3 + 50\/(-15) + (-4)\/6. Is p greater than y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-32)\/(-3)*(-114)\/76)\/(-1)?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 56 and 767606?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: -12 times -57.03\nAnswer: 684.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 716861 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -r + 4 = -0*r. Solve -n + r*n = 9 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(s) = 5*s - 5*s + 2*s - 4*s. Let b(y) be the second derivative of 0 + 0*y**2 - 5\/12*y**4 + 0*y**3 - 3*y. Give p(b(k)).\nAnswer: 10*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: 26285 divided by 5\nAnswer: 5257","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let k(q) be the third derivative of q**8\/2240 - q**7\/420 + q**6\/240 + 5*q**4\/24 + 3*q**2. Let t(w) be the second derivative of k(w). Factor t(o).\nAnswer: 3*o*(o - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 4\/(-153)*(-34263)\/(-53298)?\nAnswer: -2\/119","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -45 = -33*o + 48*o for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2 = a - 3*u + 8, 0 = 5*a - 5*u + 20. Is 34\/4 - a\/2 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 61132476 to the power of 1\/3, to the nearest integer?\nAnswer: 394","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: 450536 (base 14) to base 10\nAnswer: 2344404","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -1580094 and -0.24?\nAnswer: 379222.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let n(r) = -3*r - 8. Let p(k) = 2*k + 4. Let x(a) = 3*n(a) + 7*p(a). Let j(s) = 4*s + 5. Let d(c) = -6*j(c) + 5*x(c). Let z be d(12). Solve 4*g = 3*g - z for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(o) = 5*o + 53. Let s be l(-8). Suppose -s*g = -0*g - 1118. Is 15 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(h) = -9*h. Let p(b) = b + 1. Let f(i) = -6*i - 4. Let u(g) = 2*f(g) + 14*p(g). Let r(z) = 2*z + 4. Let o(c) = -3*r(c) + 2*u(c). What is o(j(d))?\nAnswer: 18*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of 97, 318, 695, 1234, 1941, 2822?\n\"Answer: h**3 + 72*h**2 - 2*h + 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let j(y) = -y**3 + 25*y**2 + 49*y - 596. Calculate j(26).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -0.16 - -0.168. Let u = 148.008 - 148. Let b = u - j. Is -0.1 greater than or equal to b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -78 + 76. Let i(j) = -j**3 - j**2 - j - 10. Let l be i(0). Put l, -1, h in increasing order.\nAnswer: l, h, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 527\/206 - 6\/103. Which is the closest to 0.1?  (a) 0.2  (b) -1\/20  (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-6)\/(-9) + -21*378686\/198. Round g to the nearest one thousand.\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 11 + (1 - 1 - 3). Suppose 6*a + 4 = -q. Put 3, -4, a in increasing order.\nAnswer: -4, a, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -80130612 divided by -6?\nAnswer: 13355102","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let h(v) = v**3 + 40*v**2 + 44*v + 125. Determine h(-39).\nAnswer: -70","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: (-4)\/(-20)*10*2\/(-12)\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*z + 0*z + 1433 = 4*b, -2*z + 1418 = 4*b. Suppose -b*u + 341*u = 0. Solve 3*r - x = -r - 10, u = -4*x + 8 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((2 + (sqrt(3888) + -2 + sqrt(3888) - sqrt(3888)))*5)**2.\nAnswer: 97200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 x and 1 g when four letters picked without replacement from {x: 3, t: 1, g: 13}.\nAnswer: 13\/2380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is -5732 bigger than -5733?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -3, 2\/3, -62, -13?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: 2 divided by -4241215\nAnswer: -2\/4241215","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*c + c = -10, 4*l + 3*c = 278. Is 17 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(w) = -5*w. Let h be a(-1). Let p(s) = 169 + s**2 - 5*s - 54 - 57 - 51. What is p(h)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from wwewwwewweewww. What is prob of picking 3 e?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*a**5 + 1088*a**4 + 95684*a**3 + 2752264*a**2 + 7603200*a + 4945536 = 0.\nAnswer: -108, -53, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let f(x) = -17*x**2 - 3*x + 3. Let i be f(1). Let l be 12\/(-28) - i\/7. Let g be (-1)\/(-4*4\/(-48)). Sort l, g, 3 in ascending order.\nAnswer: g, l, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 692464136?\nAnswer: 2, 7, 13, 71, 13397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 0 + 156\/(-80) - 16\/320*-15?\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 784*t**2 + 806 wrt t?\nAnswer: 1568*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let o(m) = -64*m**3. Let u be o(-1). Suppose w = 4*w + 12, 3*w = -4*n + u. Calculate the greatest common divisor of n and 95.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(k) be the first derivative of -8\/5*k**5 + 4*k**3 - k**6 - 4*k - 5*k**2 + 10 + 4*k**4. Determine i so that s(i) = 0.\nAnswer: -2, -1, -1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(c) be the first derivative of c**3\/3 + 2*c**2 + 6*c - 7. Let n be a(-5). Solve -5*g - 2*p + 20 = -g, 5*g - n = p for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -35*c - 50 + 56*c**2 - 26*c**2 - 35*c**2.\nAnswer: -5*(c + 2)*(c + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*r = -3*i + 24, 3 = 5*i + 5*r - 47. Suppose -i = -5*y + 1. Differentiate 1 + 2 + 3*f**2 - f**y wrt f.\nAnswer: 4*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*p**2\/5 + 6143972*p\/5 - 18431952\/5 = 0. What is p?\nAnswer: -1535996, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 7333189 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -9 + 9. Suppose 4*i = k - 13, 2*k - 4*k + i + 40 = a. Let b = -312 + 416. What is the remainder when b is divided by k?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -26029 - -29821. Calculate the least common multiple of v and 158.\nAnswer: 3792","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -2\/5551 at least -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -4437199, -8874403, -13311607, -17748811?\nAnswer: -22186015","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -1425 + 17?\nAnswer: -1407","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 80723623 to the power of 1\/2, to the nearest integer?\nAnswer: 8985","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is -44659.42 rounded to the nearest 10?\nAnswer: -44660","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-175)\/150*(-2912)\/196)\/(2\/(-6))?\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -9247 + 268135\/29. What is the common denominator of n and 53\/9?\nAnswer: 261","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(g) be the first derivative of -g**3\/6 + g**2\/2 + 8*g - 3. Let x(y) be the first derivative of d(y). Let q(s) = 0 - 5 - 1 + 7*s - 1. What is q(c) + 6*x(c)?\nAnswer: c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(275)*2)**2 + 0)*6*6.\nAnswer: 39600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -11189 = -1124*w - 23308 - 13733 for w.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of 454429, 451652, 448875, 446098?\n\"Answer: -2777*g + 457206","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -7*j = 9*b - 6*j + 19, 25*b + 2*j + 15 = 30*b for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 5829 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let g(z) = 19*z**2 + 5*z - 9. Let p(t) = 60*t**2 + 15*t - 28. Let m(i) = 19*g(i) - 6*p(i). Let h(w) = -3*w**2 - 11*w + 7. Calculate 4*h(o) + 9*m(o).\nAnswer: -3*o**2 + o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 24598.\nAnswer: 2, 7, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let t(b) = -b**3 - b**2 - b + 3. Suppose h = -4, 4*h = 4*u - 3 - 13. Let k be t(u). Suppose 5*q - k*q = 48. Calculate the greatest common factor of q and 264.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -h**3 + 3*h**3 - h**3 + (-h + 2*h + h)*(4 - 4 - 2*h**2) - 3*h**3 + 8*h**3 + 3*h**3.\nAnswer: 5*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*b - 11754 + 51468 = 0. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-16)\/(-6)*(37497 + 3). What is t rounded to the nearest 100000?\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 0.62 + 4.48. Let w = k + -0.1. Let o = -6 + w. Is 2 > o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose j = -c + 7, -7 = 2*j - 2*c - 1. Suppose -g - 4*a + 41 = 0, -69 = -4*g - j*a + 123. Is 49 less than g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 5, 894, 3, -54 in increasing order.\nAnswer: -54, 3, 5, 894","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -251*a**3*u**3 - 238729*a**3 + 824*a**2*u**3 + 183*a**2*u + 58*a**2 wrt a.\nAnswer: -1506*u**3 - 1432374","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let m(k) = -k + 1. Let i(z) = 7*z - 8. Let l(w) = i(w) + m(w). What is l(5)?\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-2)\/((51\/6)\/(-17)) - (-4 + -2)\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(z) = 6*z**3 + 6*z**2 - 11*z - 2. Let o(v) = -7*v**3 - 6*v**2 + 12*v + 2. Let q(y) = 6*a(y) + 5*o(y). Is 9 a factor of q(-4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1403*q = 5948*q + 4456*q - 981109 for q.\nAnswer: 109","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Sort 47, -1, -2, 53586, -3.\nAnswer: -3, -2, -1, 47, 53586","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -43*g + 8 = -47*g, -w + 5*g = -12. Find q such that 338\/9*q**w - 104\/9*q + 8\/9 = 0.\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(u) = -2*u**2 - 2*u + 1. Let h(j) = -2*j**2 - 2*j. Calculate -6*h(m) + 5*t(m).\nAnswer: 2*m**2 + 2*m + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (4 + -1)\/(1 + -2). Let f(t) = 6*t**2 + 3*t + 7. What is the tens digit of f(x)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -5.66 + 5.36. Suppose -3*t + 5*o = -0*o + 7, -5*t - o + 35 = 0. Let d be -1*(0 + 2\/t). Which is the nearest to -2\/7?  (a) m  (b) -3  (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(k) = -k**2 + 4*k**2 + 5*k**2 - 9*k**2. Let i(b) = -4*b**2. Calculate l(i(c)).\nAnswer: -16*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 9677*f + 13152*f - 77623*f - 40677*f.\nAnswer: -95471*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 12*u - 19*u = -14. What is the common denominator of (u\/18)\/((-1)\/(-33)) and 59\/4?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose b - 5 = 3*k - 0*b, k + 3 = b. Let g(v) = 1. Let j(y) = -y - 5. Let n(w) = k*j(w) - 5*g(w). Let q(a) = 2*a. Calculate n(q(f)).\nAnswer: 2*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.00259119933 to six decimal places.\nAnswer: 0.002591","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*x = -2*h + 4*h - 4, h = x + 2. Suppose -2 = -2*z + 5*a, z + a = 3 - h. Are 10 and z non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1665 = 421*m - 23447 - 13274 + 5548 for m.\nAnswer: 78","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let o(r) be the second derivative of 9*r + 1\/9*r**4 + 2\/15*r**2 + 0 - 1\/5*r**3 - 1\/50*r**5. Let o(j) = 0. Calculate j.\nAnswer: 1\/3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (27*h + 17*h - 10*h)*(26 + 11 - 6).\nAnswer: 1054*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -y + 732*x - 734*x + 2, 9*y + 4*x - 4 = 0 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Put 1\/2, 5, 2, -142 in increasing order.\nAnswer: -142, 1\/2, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 2*h*r**2 - 1489*h - 2690*r**2 with respect to h.\nAnswer: 2*r**2 - 1489","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*a - 19 + 7, 927 = 3*h - 3*a. Let u = h - 145. Calculate the greatest common divisor of 20 and u.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence vv when two letters picked without replacement from qqqqqqqvqvqv?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let w(g) = 14*g - 2. Suppose 4 = -i + 3*i. Let x be w(i). Let h = 128 + -89. Calculate the highest common factor of h and x.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(t) be the second derivative of t**5\/20 + 11*t**4\/12 + t**3\/6 + 7*t**2\/2 - t. Is o(-8) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be ((-225)\/(-27))\/((-2)\/(-6)). What is the third derivative of -11*d**4 + 1 - i*d**4 + 4 + 6*d**4 - 3*d**2 wrt d?\nAnswer: -720*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -68\/1719 and 56\/9?\nAnswer: 1719","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is (2\/18 - (-2067)\/351) + 20023 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 398*p + 82592 = 487*p + 704*p + 631*p for p.\nAnswer: 58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3 + p - 3)*((p - 3*p + 0*p)*(0*p**2 - 2*p**2 + 0*p**2) - p**3 + 5*p**3 + 15*p**3 - 2*p**3 + 7*p**3 + 2*p**3 + (-4 + 1 + 4)*(3*p**2 - 3*p**2 + 2*p**3)).\nAnswer: 32*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*o + 456 = 2*d, 3*o - 435 = 5*d - 1554. Suppose 5*i = 5*v - 6*v + 552, -4*i + 442 = v. Let f = d - i. Is 36 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 2575 and 14832?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.014 * -1583.\nAnswer: 22.162","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 4 + -48 - (-9870)\/225?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose f - 3*q = 5, -4*f + 0*q = -q - 20. Suppose -f*w + 712 + 33 = 0. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {l: 3, i: 2, t: 3, w: 1, p: 1, e: 1}. What is prob of picking 1 w and 1 t?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in 11\/2 of a decade?\nAnswer: 660","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sort -100, 166, 0.\nAnswer: -100, 0, 166","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve -111 = -32*g - 207 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 0.4 and 644.1?\nAnswer: 257.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 488575366 to the nearest integer?\nAnswer: 22104","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*u - 8*i = -5*i + 16, 8 = -2*i. Find the second derivative of -92*z**u + 170*z**2 - 2*z - 89*z**2 wrt z.\nAnswer: -22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(w) = w + 20*w**2 - 4 - 28*w**2 + 9*w**2 + 3. Calculate c(-3).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1609658 is divided by 34?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 12929 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from omjms. What is prob of sequence omj?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*a - a + 0*a - 3*a + 5 - 5 - 2 + 2 - 2*a + (-2 + 2 + 1)*(-5*a + a + 3*a) + a - 2*a - 2*a)*(12*a**2 + 4*a**2 - a**2 + 201*a**4 - 202*a**4).\nAnswer: 12*a**5 - 180*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-2)\/4)\/((-4)\/(-232)) + 190\/(-19)?\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 p, 1 b, and 1 m when three letters picked without replacement from tmtdtdtfmbfp?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*f + 3758 = 3754, 23*g - 3*f = 40 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of -10267, -10266, -10265, -10264, -10263?\n\"Answer: h - 10268","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 3819 to the power of 1\/2, to the nearest integer?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 3 + -2. Let h be q\/2 - 22\/(-4). What is the common denominator of 7\/8 and (52\/h)\/(11\/6)?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -103 + 211 + 5*y**2 + 2 to the form d*y + c*y**2 + w and give w.\nAnswer: 110","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 5*v - 5*v - 3831*v**3 - 7570*v**3.\nAnswer: -11401*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*r = 5*n - 190, 2*r + 131 = 3*n + r. Suppose s = -2*s + n. What is the remainder when 39 is divided by s?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 451*d**2*q**2 + 423*d*q**2 wrt d.\nAnswer: 902*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 320 a multiple of 80?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let a(w) = 589*w**3 - w**2 + 72*w - 277. Is a(4) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) -0.1  (b) -5  (c) 3  (d) 4  (e) -88  (f) -0.06\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"}
{"text":"Question: -7 - (6 + -4 + -4) - -2\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Divide -380732 by -44.\nAnswer: 8653","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve d + 27 = 25, 0 = -4*x + 4*d + 16 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let y(k) be the first derivative of -k**4\/12 - 7*k**3\/6 + 93*k - 4. Let s(m) be the first derivative of y(m). Give s(-7).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of 1082, 1983, 2878, 3767?\n\"Answer: -3*s**2 + 910*s + 175","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 7 + 13 + 275\/(-22). Determine c, given that 3\/2*c**5 - 9*c + 27\/4*c**4 - 15\/4*c**2 - 3 + i*c**3 = 0.\nAnswer: -2, -1, -1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1 (base 2) in base 11?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 23697900 and 30.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 243424 and 2.\nAnswer: 243424","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*u = -z + 3 + 30, 5*z = 25. Is -5\/38 at least u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -10954341\/503 + 21778. Let d = 63853\/2012 - x. Let m = 785\/28 - d. What is the common denominator of m and -75\/38?\nAnswer: 266","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 313.96283 rounded to the nearest ten?\nAnswer: 310","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: 1*1.8\nAnswer: 1.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*i - 2 = -22, -4*i + 44 = w. Let t(h) = 3*h + 4. Calculate the least common multiple of w and t(0).\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(i) = -i**3 - 9*i**2 - 10*i - 3. Let k be c(-8). Let u = k - 18. Which is greater: u or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify g*g\/g**(3\/8)*(g**(2\/13)\/g)\/g assuming g is positive.\nAnswer: g**(-23\/104)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -43*g = -44*g + 526. Differentiate 162*v + 123*v - g*v - 27 + 56*v with respect to v.\nAnswer: -185","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(n) be the third derivative of 3109*n**5\/15 - 2*n**2 + 960. Let x(j) = j. Give x(u(f)).\nAnswer: 12436*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve -444*t + 4006 = 2135 - 7009 for t.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 3674 and 501.\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 13*s = -4*s - 51 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose d - n + 0*n - 1 = 0, 5*n + 3 = 3*d. Let r = d - 3. Let v(w) be the second derivative of -w**3\/3 - w**2\/2 + 52*w - 1. Give v(r).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1084227.\nAnswer: 3, 361409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 3\/25 of a litre?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let s(y) = -4*y + 226. Let i(r) = r - 45. Let g(k) = -11*i(k) - 2*s(k). Let o be g(14). Is 6 a factor of o + -2 + -1 - (-1 + -79)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 29\/154 + 1\/42. What is the common denominator of w and 62\/33?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 4346?\nAnswer: 2, 41, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 2697770 rounded to the nearest one hundred thousand?\nAnswer: 2700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 26 + -28. Which is the third smallest value?  (a) 1\/5  (b) -1\/3  (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of -8, -12, -16, -20, -24, -28?\n\"Answer: -4*v - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 775\/50 - 3\/2. Suppose -8*n + p*n - 126 = 0. Solve -n + 1 = -5*m for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth smallest value in -22, 0.5, 4, -0.2, 0, 2\/9?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3249*h**4 - 42198582*h**3 - 136897697341*h**2 + 798443071652*h - 1163166564004.\nAnswer: -(h + 6497)**2*(57*h - 166)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -7 + 7. Let m = 8 - q. Does 7 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 663 and 1183?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -14.4 - -158.4. Let m = p + -173. Which is the second biggest value?  (a) m  (b) 1  (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -0.57 and -9.76?\nAnswer: 5.5632","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 30882 + -30885. Which is the closest to 222?  (a) 0.5  (b) r  (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 11978\/7 smaller than -1533?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*g + 71 = 3*t, -5*g - 84 = 4*t - 3*t. Let k = 39 + g. Calculate the greatest common factor of 242 and k.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -1113*p - 3740 + 3037 - 3749 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*r + 523 = -r + 5*m, -4*r = -4*m - 676. List the prime factors of r.\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 114 = 2*y - r + 84, -55 = -3*y + 4*r. Solve -5*v = 5*l + 25, -y = 12*l - 8*l - 3*v for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the sixth biggest value?  (a) -217  (b) -1\/5  (c) 0.01  (d) 2  (e) -53  (f) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from swgwtnnwwg. Give prob of picking 1 w, 1 s, 1 t, and 1 n.\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let z(c) = 68*c. Let f(b) = 6*b. Determine z(f(w)).\nAnswer: 408*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2310940.\nAnswer: 2, 5, 115547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let c(n) = -n**2 - 31*n - 24. Let t be c(-15). Calculate the highest common factor of t and 96.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(j) = 2*j - 19. Suppose 0 = -2*p - m - 25, -2*m = m - 15. Let d be p\/(-30) + 21\/2. Let f be n(d). Is f bigger than 24\/13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*l + 22 = -2*t - 5*l, 3*l = -15. Suppose -5*h = -3*r - 80, -6*r = 3*h - 2*r - 48. What is the smallest common multiple of (-5)\/((-45)\/t)*-27 and h?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1493168431?\nAnswer: 61, 24478171","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let n(o) = -123*o**2 - 17. Let x(f) = 21*f. What is x(n(w))?\nAnswer: -2583*w**2 - 357","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 715 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: Work out -3 * 26.4.\nAnswer: -79.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let o(w) = 220*w - w**2 - 220*w. Let y(n) = 6*n**2 + 9*n. Let u(k) = -9*o(k) + y(k). Find the second derivative of u(s) wrt s.\nAnswer: 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -2\/25  (b) 154\/39  (c) 21  (d) -1  (e) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from usqiqln. What is prob of sequence qu?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-3 - -4) + 11 + -2 - (29 - (61 - -36)).\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 16*(6435\/(-624) - -25)\/5?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(v) = -73*v**3 - 5*v**2 + 5*v + 39. Let i(k) = 36*k**3 + 2*k**2 - 2*k - 20. Let a(r) = -5*i(r) - 2*t(r). What is the derivative of a(x) wrt x?\nAnswer: -102*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -22 + 61?\nAnswer: 3c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 43993\/1421 - (-2)\/49?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0, -4, -23, -3 in decreasing order.\nAnswer: 0, -3, -4, -23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (4 + 0)*(-6)\/8. Let p(c) = -9*c + 4. Let s be p(1). Sort 3, s, o in increasing order.\nAnswer: s, o, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ec when two letters picked without replacement from {e: 5, c: 11}.\nAnswer: 11\/48","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Work out -84.48 * 8.5.\nAnswer: -718.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: How many microseconds are there in 95386.37ms?\nAnswer: 95386370","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many nanometers are there in 9.707759 micrometers?\nAnswer: 9707.759","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -8*h - 2*h + 360. What is the smallest common multiple of h and 8?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 170 is divided by 20.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.1 in 4, 1\/3, 10?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let g(f) be the first derivative of 7*f**3\/3 - 9*f**2\/2 + 2*f - 4. Let t(v) = -2*v**2 + 3*v - 1. Let a(j) = 3*g(j) + 8*t(j). Suppose a(z) = 0. Calculate z.\nAnswer: -2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1\/20 of a litre in millilitres?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let n(x) be the first derivative of -x**4\/4 - x**3 - 5*x**2\/2 - 2*x - 81. Give n(-3).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4, 2, -254, 1 in descending order.\nAnswer: 2, 1, -4, -254","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from lewlwwwwlwlww. Give prob of picking 1 w and 3 l.\nAnswer: 32\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let j(i) = -i**2 + 19*i - 12. What is the remainder when 47 is divided by j(18)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -a + 2*a - 12 = 0. Let x(z) = -z**3 + 20*z**2 + 54*z - 172. Let s be x(22). Calculate the greatest common divisor of s and a.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -3.4 - -3. Let p be (-1 - -3) + 12\/(-9). Which is the nearest to -1\/7?  (a) j  (b) -0.5  (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 297?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -3 + 6. Suppose n = -c*n. Solve -4*v + 4 = -4*l, -l + n*v = v + 3 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -37*u = -32*u - 4*k - 2856, -3*k + 2322 = 4*u. Is u at most 581?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 40*y - 3*y - 1 + 8*y + 8*y.\nAnswer: 53*y - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Work out 1498514655 - -293.\nAnswer: 1498514948","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let f(l) be the first derivative of -1787*l**3\/3 - 1339*l - 1600. Differentiate f(p) wrt p.\nAnswer: -3574*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.052, 1\/32, -0.5, 183, -3 in decreasing order.\nAnswer: 183, 1\/32, -0.052, -0.5, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 2?  (a) -12  (b) -1\/3  (c) 2\/3  (d) -4  (e) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Expand q - 1 + 0*q - 2*q + (-q - 2*q + 5*q)*(2 - 3 - 1) + (-2*q + q - q)*(58 - 15 + 50)*(-5 + 21 + 56).\nAnswer: -13397*q - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let z(a) = 6*a**2 + 2. Let p be (1\/2)\/((-2)\/(-28)). Suppose -p*g = -12*g - 165. Let c = g + 28. Let f(j) = 7*j**2 + 2. Calculate c*f(o) + 6*z(o).\nAnswer: o**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 7\/14*2*5?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (2 - 20\/9)*21\/14?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -4 and -40.971698.\nAnswer: 163.886792","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 69693389 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 36405278?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let l(u) = -u**3 - 8*u**2 + 3*u - 51. Calculate the lowest common multiple of l(-9) and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 21525529 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*k**3 + 5564946*k**2 - 11129886*k + 5564942 = 0 for k.\nAnswer: 1, 2782471","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(28)\/(sqrt(28)\/(sqrt(28)\/sqrt(4))))**2 - ((-2*sqrt(700))**2 + -2*sqrt(252)))*5.\nAnswer: -13965 + 60*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:08 PM and 8:45 PM?\nAnswer: 217","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (6 + -13)*(-5)\/(-35)*(-10 - -2). Which is the fourth biggest value?  (a) 1  (b) 8\/7  (c) -1  (d) j  (e) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(m) = -m**2 + 8*m + 5. Let b be j(8). Suppose b*u - 31 + 1 = 0. What is the highest common divisor of 3 and u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*g = 14 - 18 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let x(z) = -z**3 + 29*z**2 - 27*z - 24. What is x(28)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -6.84 + -0.16. Let k = y + 7. Let a = k + 0.00004. What is a rounded to 5 decimal places?\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(y) be the third derivative of y**5\/270 - 23*y**4\/54 + 529*y**3\/27 + 240*y**2. Suppose x(k) = 0. Calculate k.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 598735 - 1286. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in m**3 + 4*m**3 + 160781*m - 7*m**3 - 160781*m.\nAnswer: -2*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -v + 634 = 4*m, -475 = -3*m + 170*v - 171*v. Is m a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 30225934?\nAnswer: 2, 15112967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1699\/4 in 5, 0.2, 3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from gnnnggnngggng. Give prob of picking 3 n.\nAnswer: 10\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*p + 6*p + 16 = 0. Suppose -d + l + 0*l = 7, 3*l + 7 = -4*d. Does d = p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -60 - -83. Let f = -21 + p. Suppose 4*s - f*n - 4 = 3*s, -2*s + 29 = 3*n. Solve 3*b - v = -0*b - s, v - 12 = 4*b for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve r + 16352*f = 16354*f - 6, -4*r - 33 = -5*f for r.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -26 + -12143165?\nAnswer: -12143202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let f(h) = -h - 7. Let x be f(-3). Let j be 1*(-2 + x\/(-2)). Which is smaller: 2\/11 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -9371.68004 rounded to the nearest one hundred?\nAnswer: -9400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Factor 112\/17*y - 1568\/17 - 2\/17*y**2.\nAnswer: -2*(y - 28)**2\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence oa when two letters picked without replacement from {q: 1, i: 1, n: 1, o: 1, a: 1}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let f(r) = 8*r - 6. Let j be -8 + 9 - (-1 - 3). Let l be f(j). Let p = l - 11. What is the tens digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 73290878.\nAnswer: 2, 36645439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3 + (1*sqrt(2736) + -1)**2 + sqrt(2736) - ((2*sqrt(2736) + 3)*1)**2.\nAnswer: -8219 - 156*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4 - 4 + 2*i)*(-3 - 1 + 1)*(210*i - 48 + 48).\nAnswer: -1260*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -q - 3*q + 8 = 0. Suppose 3*b - 30 = -5*x, -3*b + 9 = 3*x - 5*x. Let p = x + -1. Calculate the highest common factor of p and q.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be ((-6)\/(-36))\/(1\/30). Solve g*m - 43 = -28 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 369757 = 6*b - 1119947. Suppose 2619 = -35*k + b. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -4.9 minus -232362042?\nAnswer: 232362037.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 3153168 a multiple of 81?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from ddfdfdddddddfdfddd. Give prob of picking 2 d and 2 f.\nAnswer: 91\/510","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -1202 + 1202.019. Is x greater than 16\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 29889 - 13556. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -830 - -830. Let z(c) be the second derivative of 8\/9*c**3 + 7\/135*c**6 + 1\/3*c**5 + 4\/9*c**2 + s + 21*c + 43\/54*c**4. Determine k so that z(k) = 0.\nAnswer: -2, -1, -2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 36 + -32. Let b be 2\/6*4*15. Suppose -v*p + b = -0*p. Solve -t + 0*t = p for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (z\/((z\/z**(1\/4))\/z)*z**(-1\/3))\/(z**(1\/4))**(11\/3)*(z**(-7)*z*(z*z**(1\/7)*z)\/z)\/(z**(-4\/5)\/(z\/z**(-3))) assuming z is positive.\nAnswer: z**(-2\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of -117, -231, -345?\n\"Answer: -114*c - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -186*r - 17 + 386*r + 0 - 197*r to the form q*r + i and give q.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve 103*a - 567 = 978 for a.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -9 + 7. Let h be 1 + z\/(-7) + -1. Is -1 >= h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-6)\/14)\/((-9)\/(-15)*80\/32)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Sort -53\/110, -14\/9, 1, -3.\nAnswer: -3, -14\/9, -53\/110, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let u(t) = 462*t**5 - 5*t**2 - 829*t + 5. Let n(h) = -693*h**5 + 8*h**2 + 1244*h - 8. Let c(r) = -5*n(r) - 8*u(r). What is the second derivative of c(y) wrt y?\nAnswer: -4620*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(w) = w**3 + 8*w**2 - 3*w - 19. Let z be k(-8). Suppose 4*v - 184 + 482 = -3*q, -z*v + 485 = -5*q. Let o = 144 + q. What are the prime factors of o?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 2.968 + -1.747. What is q rounded to 1 decimal place?\nAnswer: 1.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-2)\/(-4) + (-2108)\/2232 - 1210\/(-2574)\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of -52, -98, -144, -190, -236?\n\"Answer: -46*u - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 674449 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let b(s) = -13*s - 102. Suppose 3*g - 9 = 3*x, -g = 3*x + g + 34. Let p be b(x). Solve -p*h - 2*a + 4 = 0, h - a = 4*a - 28 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 251624328.\nAnswer: 2, 3, 10484347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 0.001 + -0.00095. Round d to 4 decimal places.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-1 - (-505)\/520)\/((-5)\/(15630\/(-9))) + 10\nAnswer: -1\/52","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence xof when three letters picked without replacement from ffofffoofofofxfof?\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 3204075 and 1350225?\nAnswer: 1275","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 3 (base 11) in base 9?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 17 - 6. Let k = d + -15. Let q = -7 - -12. Put 2\/3, k, q in increasing order.\nAnswer: k, 2\/3, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(f) = -42 + f**2 + 5 + 0 - 4*f + 18*f. Let o be p(-17). Differentiate -15 + o*t + 6*t + 0*t with respect to t.\nAnswer: 20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 1239 + -1234. Solve -4*o + 0*o - t*k = 9, 5*o + 4*k + 9 = 0 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -5 + -10321431?\nAnswer: -10321440","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of 45, -6032, -16161, -30342, -48575, -70860?\n\"Answer: -2026*k**2 + k + 2070","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1\/10?  (a) -1\/11  (b) -1\/2  (c) -7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*m + v + 12 = 0, -5*m + v - 12 = -30. Suppose -2*p + 85 = m*p. Calculate the highest common divisor of p and 136.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -666 - -666. What is the second biggest value in 2\/5, -1\/8, h, -2\/3?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 158 is divided by 157?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -15*l**4 - 8*l**4 - 13*l**2 - 3 + 0*l**3 + 4*l - l**3 + 24*l**4 to s*l**2 + z*l**4 + v + d*l + b*l**3 and give z.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let u(p) = p**2 - 153*p + 343. Let y(r) = r**2 - 305*r + 683. Let g(v) = -7*u(v) + 4*y(v). Differentiate g(l) wrt l.\nAnswer: -6*l - 149","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((f**(9\/2)*f**19)**(-28))**16 assuming f is positive.\nAnswer: f**(-10528)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*z = 4 - 0 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4 + (1 + (sqrt(128)*-2*1 - sqrt(128)) + (sqrt(128) - -2*sqrt(128))*-5)**2.\nAnswer: -288*sqrt(2) + 41469","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let r(c) = -c**2 - 22*c + 7. Let s(b) = -b**2 - 21*b + 6. Let d(g) = 6*r(g) - 7*s(g). Let o(z) = 2*z**2 + 29*z. Let q(l) = -10*d(l) + 6*o(l). Factor q(n).\nAnswer: 2*n*(n + 12)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 1895\/15 + 1 + 3\/(-9). Let o = s - 100. What is the smallest common multiple of o and 9?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(r) = -r**2 - 10*r - 11. Let j be b(-7). What is the highest common factor of 110 and j?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of 19179, 19181, 19183?\n\"Answer: 2*z + 19177","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 11.1 + -11. Let s = 77.05 + -76.85. Suppose f + 8 = 3*f. Which is the second biggest value?  (a) s  (b) d  (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5 + 7 = 4*v. Solve 0*l = v*l + 15 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: (10 + 3 + -21)*((-4332)\/864 - -5)\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is q in -4*q**3\/7 - 4*q**2\/7 + 68*q\/7 - 60\/7 = 0?\nAnswer: -5, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose k - 51 + 11 = -4*c, -284 = -5*k + c. Suppose -o = -5*o + k. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 87*t - 21*t**5 - 87*t - 2 - 11*t**2 + 2*t**5 + 11*t**2 + t**4 + (-4*t**3 - 3*t**3 + 6*t**3)*(2*t**2 - t**2 - 3*t**2).\nAnswer: -17*t**5 + t**4 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -w + 0 = -2. Let z(v) = -3*v + 3*v - 6*v + 5*v + w. Suppose 5*g = g - 8. Calculate z(g).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 485 = -30*h + 605. Solve -2*z + h = 0, -6*d + d - 9 = -2*z for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(1331) + (sqrt(1331) - (0 + sqrt(1331))*-3) - sqrt(1331)) + sqrt(1331))**2 + sqrt(1331) - (sqrt(1331)*-2 + 5).\nAnswer: 33*sqrt(11) + 33270","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Express h**3 - 86*h**4 - 6 + 0 - 14*h**4 + 8 - 36*h**4 + h in the form s*h + k*h**4 + p*h**3 + u + o*h**2 and give p.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -6 + -1. Let y = 15 + c. Solve -y = 2*g - 4 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence np when two letters picked without replacement from {n: 1, f: 1, p: 1}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1429760 is divided by 665.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"}
{"text":"Question: Let o(b) = -b**2 - 10*b - 12. Let d be o(-8). Let g(f) = d - 12 + 7 - f. Calculate g(2).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 6745014 is divided by 4949?\nAnswer: 4476","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (3 - -4) + (-3 - -4) - 3.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Does 11 divide 318983775?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*w = 8, 0 = 4*d - 4*w - 643 + 155. Is d a multiple of 42?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 24*p - 3*p**3 + 0*p**3 - 4*p wrt p?\nAnswer: -18*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5534*b = 693*b - 323804 for b.\nAnswer: 52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*n = -5*x + 3*n + 22, -2*x + 2*n + 4 = 0 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.2 in 0, -3, -2, 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 196 divided by 1478.\nAnswer: 98\/739","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let w be -3 + (-4)\/4 - -30. Suppose w + 30 = 7*k. Suppose -9572 = k*o - 25068. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 26 divide 126138965?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {p: 1, d: 1, m: 1, u: 1, j: 5, y: 4}. Give prob of picking 2 j and 1 p.\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (409 - -5)*6\/4. Let q = j - 358. Let t = q - 172. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(f) = 13268*f**2. Let v(b) = 2*b. Determine v(w(k)).\nAnswer: 26536*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -2b4b9 + 135?\nAnswer: -2b384","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let g(q) = 1032*q**2 + q**3 + 18 - 11*q - 1024*q**2 - 3*q. What is the tens digit of g(-8)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 2382 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 3 + -2.5. Let u = 64936 + -64932. Which is the second biggest value?  (a) u  (b) -2\/3  (c) q  (d) 42\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -2433264*g*j**4 + 47*g*j**3 + 2571958*g*j**2 + 17*j**2 wrt j?\nAnswer: -58398336*g*j + 282*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (252\/(-45))\/7*-1.\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Put 98, -3, 5, -114 in increasing order.\nAnswer: -114, -3, 5, 98","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let t(n) be the first derivative of -1 - 2\/27*n**3 + 0*n - 2\/9*n**2. Factor t(w).\nAnswer: -2*w*(w + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:32 AM and 7:11 AM?\nAnswer: 399","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -12 - -a6?\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Divide 9128575 by 11425.\nAnswer: 799","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve -150*f**4 + 459*f**3 - 477*f**2 + 177*f - 9 = 0 for f.\nAnswer: 3\/50, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -3\/122, 19324, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Find t, given that 2*t**4\/13 + 476*t**3\/13 + 10048*t**2\/13 - 47936*t\/13 = 0.\nAnswer: -214, -28, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*i - 74 = -5*k, -k + 0*k = -3*i - 4. Suppose 7*f = 174 + 169. What is the remainder when f is divided by k?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth smallest value in 6, 0.04, -3, -2\/19, 5, 21\/17?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let a(h) = 8*h**2 - 208*h - 28. Calculate a(25).\nAnswer: -228","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let q(y) = 136*y + 2. Let a be q(0). Let w(u) = -u**3 - 4*u**2 + 1. Let o(f) = -f**3 - 3*f**2. Determine a*w(j) - 3*o(j).\nAnswer: j**3 + j**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5536*x + 2717*x - 3753*x - 453468 = 0 for x.\nAnswer: -69","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*p = -3*y - 3*p, p = y + 2. Sort y, 23, -4 in increasing order.\nAnswer: -4, y, 23","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -7272720 + -217101.\nAnswer: -7489821","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let c(m) = -6*m. Suppose -4*x = x - 4*t - 3115, -3*x + 2*t + 1869 = 0. Let b(j) = -4*j + x - 623. Give c(b(a)).\nAnswer: 24*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (18\/27)\/(1\/3). Let m(g) be the first derivative of 0*g**3 + 0*g - 1\/2*g**r - 1\/5*g**5 + 0*g**4 - 2. What is the second derivative of m(a) wrt a?\nAnswer: -12*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 11*y - 1 + 18*y + 3 + 0 - 5*y - 2*y**2 in the form k + h*y + g*y**2 and give h.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 14\/4*72\/(-21)*(-469)\/(-201).\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3*(sqrt(153) + 2*sqrt(153)*1)\/(sqrt(225)*-1).\nAnswer: -9*sqrt(17)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -109\/2 + 137\/4. Suppose -v + 3*w - 63 = v, 3*w = -3*v - 117. Find the common denominator of y and (v\/16)\/(1\/(-18)).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(n) = 246*n**2 - 216*n - 2765. What is the units digit of o(-13)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 2*p**2 - 444 - 111*p + 220 - p**3 + 224 in the form h + x*p + g*p**3 + a*p**2 and give g.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 176134*c*v**3 - 166673*v**3 wrt c?\nAnswer: 176134*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -66.5 + 55. Let v = 0.1 + l. Let f = 11.400094 + v. What is f rounded to five dps?\nAnswer: 0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose v = 8*f - 12*f + 9, 0 = -v + 15*f + 47. Calculate the remainder when 20345 is divided by v.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(m) = 19*m**3 + 4*m**2 - 6. Let h(c) = -38*c**3 - 9*c**2 + 13. What is 6*h(t) + 13*r(t)?\nAnswer: 19*t**3 - 2*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: -5269171939 + 0.3\nAnswer: -5269171938.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 45737889 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -82 + 84. Let h be (26\/39)\/(n\/(-3)). Sort 2, h, -0.3 in descending order.\nAnswer: 2, -0.3, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*i - 7*i = -44. What is the third derivative of -i*l**2 + 7*l**6 + 7*l - 3*l - 4*l wrt l?\nAnswer: 840*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(33) - (1*sqrt(297) + sqrt(297) - sqrt(33))) + (sqrt(2673)*-1 - sqrt(33)))\/((-1*sqrt(9)*5)\/sqrt(3)).\nAnswer: 14*sqrt(11)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -100 + -3 + 3 - (-19 + (14 - -1) - 2).\nAnswer: -94","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of -12263, -24527, -36791, -49055, -61319?\n\"Answer: -12264*v + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -12 divided by 115.\nAnswer: -12\/115","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-5*-1*sqrt(1700))**2*-4.\nAnswer: -170000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 4219457025?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 1164032 to the nearest integer?\nAnswer: 105","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 q and 1 h when two letters picked without replacement from {h: 2, q: 5}?\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 r when two letters picked without replacement from {r: 2, o: 11, m: 1, a: 2}?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1\/4 in 1.679, 4\/3, -5\/2, 18?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 11*f = 6*f + 7675. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 6224 to the nearest integer?\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 59661 and 60606?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 21 a factor of 37078260?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -35*k**2*u + 4*k**2*v**3 + 13*k**2 + 23*k*u*v**3 - 3*k*v**2 - 4*v**3 with respect to u.\nAnswer: -35*k**2 + 23*k*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose f - 5*d - 615 = 0, -2*d = -4*f - d + 2422. Let a be 1\/3 - f\/33. What is the remainder when (-1029)\/a + 3\/(-18) is divided by 15?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 318, 2\/1113, -0.2, 0 in decreasing order.\nAnswer: 318, 2\/1113, 0, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 19 a factor of 245349166?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -111 + 171. Let n be (12\/9)\/(8\/x). Suppose 6*u + n = u, 3*u = -2*l. What is the units digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be -2*(-5)\/2*-1. Let s be (-13)\/3*(-15)\/w. Let y = 16 + s. Solve -5*x + 10 = 2*h, -16 + 1 = y*h for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of -11386, -11400, -11424, -11458, -11502, -11556, -11620?\n\"Answer: -5*c**2 + c - 11382","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*z + t = -78, 4*t - 3 = 5*t. What is the third derivative of -6*x**5 + z*x**5 + 7*x**2 + 0*x**2 - 6*x**5 wrt x?\nAnswer: 780*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(j) = 6*j**3 - 7*j**2. Let d be 5 + (-6)\/3 + -2*4. Suppose l + z - 6 = 4, 0 = -2*l - z + 17. Let n(v) = 4*v**3 - 5*v**2. What is d*a(k) + l*n(k)?\nAnswer: -2*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 2\/5?  (a) -0.3  (b) 5\/14  (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*q - 4*q + q)*(-q + 4*q - q + 3*q - 2*q - 3*q + (2*q - 3*q + 0*q)*(-1 + 6 - 4))*(-3747 + 1630 - 1352).\nAnswer: -3469*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Round 11.5244 to the nearest integer.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let a(w) = -w**3 - 5 + 7 + 2*w**2 + 23*w - 5*w - 14. Let x be a(5). Let p(c) = -12*c + 1. Give p(x).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.2?  (a) 5  (b) -4  (c) -2  (d) 0.7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 5 and -0.06026.\nAnswer: -0.3013","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 1\/3 or -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*d - w - 23 = 0, -2*w - 4 = 5*d - 4*d. Let y be ((-3)\/d)\/(1\/10). Suppose -y*l + 12 + 23 = 5*c, -37 = -4*l + 5*c. Is 8 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(m) = -m - 2. Let f(i) = -i**3 - 13*i**2 + 11*i - 43. Let x be f(-14). Let g(d) be the second derivative of d**5\/20 + d**2\/2 - d. What is x*h(w) - 2*g(w)?\nAnswer: -2*w**3 + w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 8 - 5. Suppose 3*o + 3*z + 9 = 0, 2*z = 7*z. Let m = 139.7 + -139.8. What is the closest to m in 0.2, o, t?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((-4 + 2*o + 4)*(4 - 2*o**2 - 4) + o**3 + 5*o**3 - 3*o**3 - 2*o**3 - 4 + 5*o**3 + 5)*(2*o**2 - 4*o**2 + 0*o**2).\nAnswer: -4*o**5 - 2*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 51252.\nAnswer: 2, 3, 4271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(136)\/(sqrt(512)*-1) + 5.\nAnswer: -sqrt(17)\/8 + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -45*p + 6074 = 25*p - 26896. Does 4 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(q) = -q**2 + 142*q - 152*q - 1 + 20. Suppose -4*m = -3*o - 29, -3*o - 3*m = 278 - 242. Determine f(o).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0, 540, 1500, 2, 1 in ascending order.\nAnswer: 0, 1, 2, 540, 1500","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 3.1 - 3. Let f = 0.17 + -0.47. Which is the closest to s?  (a) -1  (b) 2\/15  (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify h**(-33)\/h**(-31) assuming h is positive.\nAnswer: h**(-2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (d**(-6)*d*d\/d**(-1\/2)*d)\/(d**7\/d*d*d**7)*(d**(2\/7)*d*d*d**(-3)\/d)\/(d**(4\/9)*d**8\/d*d*d) assuming d is positive.\nAnswer: d**(-3485\/126)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 4*f**2 - 18 + 4 - 18 - 2*f**2 to a + w*f + x*f**2 and give a.\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -632671*i*s**2 + 127*i*s + 26*i - 35*s**2 - 114*s + 33 wrt s.\nAnswer: -1265342*i - 70","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 4206857 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -4 - -17700176?\nAnswer: 17700172","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Total of 0.0845 and -0.7.\nAnswer: -0.6155","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -15 = -5*d - 3*l + 28, -3*d - 5*l = -29. Let j(w) = -w**3 + 8*w**2 + 6*w - 3. What is the tens digit of j(d)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -9764*c**5 + 2*c**4 + 2*c**2 - 96*c - 1015.\nAnswer: -585840*c**2 + 48*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*b + 20 = 4*n, -3*b + 16 + 14 = 2*n. Suppose 7*i - n = 4*i. Put 0, i, -3 in decreasing order.\nAnswer: i, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {b: 9, a: 3}. Give prob of sequence abba.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((y\/y**(-4\/9)*y**(2\/3))**41)**(-5\/12) assuming y is positive.\nAnswer: y**(-3895\/108)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -9 + 18 + (-5 - (-5 - -26)).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -23305*x + 11651*x + x**2 + 11658*x + 2*x**2 - 2*x**2.\nAnswer: x**2 + 4*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 110082 is divided by 47?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let c(s) be the first derivative of 19*s**6\/6 - 41*s**3\/3 - 25. Find the third derivative of c(u) wrt u.\nAnswer: 1140*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-9)\/(-18)*(-30)\/18.\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((sqrt(70) - 6*-2*sqrt(70)) + sqrt(70) + sqrt(70))\/(sqrt(160)*-1 - sqrt(10)) + -3)**2 + -4.\nAnswer: 18*sqrt(7) + 68","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -17114 - 1421?\nAnswer: -20535","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -65159*n + 94835?\nAnswer: -65159","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Round -3534.71 to the nearest one hundred.\nAnswer: -3500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: -0.00417*61362\nAnswer: -255.87954","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Does 30 divide 3240?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 155, 413, 765, 1211, 1751?\nAnswer: 2385","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 97808937 and 93?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -1354 + 1350. What is the second biggest value in -2, 2\/7, n, -23?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(j) = 10*j - 1. Let w(v) = -v + 1. Suppose 18*q = 2*n - 4*n + 14*q - 6, 0 = 5*q. What is n*w(d) - k(d)?\nAnswer: -7*d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let p(v) = 13*v**2 - v**2 + v**2 - 7*v**2. Let h = -7 + 0. Let i(f) be the second derivative of 5*f**4\/12 + 3*f. Calculate h*i(u) + 6*p(u).\nAnswer: u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -16994, -17000, -16994, -16970, -16922, -16844, -16730?\nAnswer: -16574","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of -2080, -4564, -7026, -9454, -11836, -14160, -16414, -18586?\n\"Answer: 2*k**3 - k**2 - 2495*k + 414","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let x(c) be the second derivative of 25*c**3\/6 - 29*c**2\/2 + 326*c + 7. Let s(g) = -g**3 + g**2 - g + 11. Let f be s(0). List the prime factors of x(f).\nAnswer: 2, 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there in 9.330622 days?\nAnswer: 13436.09568","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*v + 3816 = -0*v. Let q = v - 319. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*y - 3*u + 3, 2*u + u - 11 = 5*y. Let n be -1 - -150002 - (y - -2). What is n rounded to the nearest 100000?\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 6 by -134.\nAnswer: -3\/67","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let v(h) = -66. Let m(o) = o + 130. Let a(x) = -3*m(x) - 5*v(x). Let d be a(-21). Which is bigger: d or 14\/5?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(o) be the third derivative of 1 + 1\/30*o**5 - 15*o**2 - 103\/6*o**3 - 23\/24*o**4 + 0*o. What is the derivative of f(d) wrt d?\nAnswer: 4*d - 23","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 39 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let z(r) = -r - 6. Let p(b) = -8*b - 40. Let q(u) = -3*p(u) + 20*z(u). Let j(s) = 31*s. What is q(j(f))?\nAnswer: 124*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 0.7 - 1. Let j = 0 - 0.2. Let m = 4.715 - 0.715. Which is the third smallest value?  (a) j  (b) m  (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -25*i**3 + 15*i**2 - 54*i + 86160 wrt i.\nAnswer: -75*i**2 + 30*i - 54","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of (-10)\/4*(-2 - 10)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -j - 4*j + 15 = 0. Suppose 0 = -j*n + 8 + 43. What is the remainder when n is divided by 10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 56871030.\nAnswer: 2, 3, 5, 29, 131, 499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:19 PM and 12:41 AM?\nAnswer: 502","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1790630076.\nAnswer: 2, 3, 439, 339907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -4?  (a) 37  (b) -0.02  (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -13 - 54*g**2 + 4 + 175*g**4 - 91*g**3 - 319*g**4 + 169*g**4 - 1 wrt g?\nAnswer: 600*g - 546","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -826.4*-3.\nAnswer: 2479.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 97\/56560 and -37\/792345.\nAnswer: 88742640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 4\/20 - 35616\/(-120). Calculate the greatest common divisor of 132 and y.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 28 + 9. Let g = 277339.99936 - 277303. Let m = g - f. What is m rounded to four dps?\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 0 = 216\/12289283?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: -685 + 652 + (-2 - -16)\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let j(c) be the third derivative of -c**9\/22680 - c**8\/5040 + c**4\/4 - c**2. Let w(u) be the second derivative of j(u). Factor w(t).\nAnswer: -2*t**3*(t + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(n) = 1377*n**2 + 4*n + 1035. Is x(-28) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(z) = z**2 + 11*z + 12. Let h be p(-11). What is the highest common factor of h and 36?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 79 + -78. Solve -8*c + 9*c = -t for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 460281 to the power of 1\/4, to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 7502 and 847106.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -130*b - 4256 = -19206. Solve -b*h - 90 = -100*h for h.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (5*a + 0*a - 4*a)*(-640*a - 726 + 4*a**3 + 640*a) + 2*a**4 + 0*a**3 + 0*a**3 as g*a + z*a**3 + l + f*a**2 + m*a**4 and give m.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 367258907 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of -1693781, -1693769, -1693757, -1693745?\n\"Answer: 12*t - 1693793","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let r(n) = -n + 14. Let h(w) = w + 2. What is 3*h(x) - r(x)?\nAnswer: 4*x - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (452\/6)\/((-90)\/(-135)) + -9. Calculate the greatest common factor of r and 429.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 215870.\nAnswer: 2, 5, 21587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of 39310, 157220, 353736, 628858, 982586?\n\"Answer: 39303*x**2 + x + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 196514.\nAnswer: 2, 98257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -4 + 2204444312?\nAnswer: 2204444303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Divide -603 by 201.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -430\/9 - -48. Put l, -0.3, -3 in decreasing order.\nAnswer: l, -0.3, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*x - 3*i = 7*x + 462, -113 = x + 2*i. Let h = x - -121. Let o(u) = u**2 - 4*u - 2. What is o(h)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(t) = -t. Let v(m) = -2*m + 2*m + 4*m + 2*m. Give v(j(n)).\nAnswer: -6*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 140 and 172820.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3 + 6 + 3)*(-2*b + 15*b - 2*b).\nAnswer: 132*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let t(f) = -2*f**3 - 5*f**2 - f - 9. Let d be t(-4). Let y be (-3)\/((-126)\/d) + -1. Which is greater: y or 0?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -104387800, -208775598, -313163396?\nAnswer: -417551194","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -61504033 (base 7) in base 4?\nAnswer: -103213330102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let v(r) = r - 1. Let g(l) = -3*l**2 + 2*l. Let f(h) = -g(h) + v(h). Let s(d) = d**3 + 10*d**2 + 7*d + 7. What is the remainder when s(-9) is divided by f(2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9*u = 24*u - 360. Suppose -u = 1013*q - 1015*q. Calculate the greatest common factor of 21 and q.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*g - 163 = 1657. What is the derivative of -219 - 245 - 36*m**3 + g wrt m?\nAnswer: -108*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*v = v - q - 41, 4*q + 36 = 4*v. Let n = 2 + v. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -13*t - t + 31*t + 85 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Determine g so that -4*g**2 - 12493048*g - 9754765520644 = 0.\nAnswer: -1561631","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 3032667 a multiple of 33?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Round -114.2542844 to zero decimal places.\nAnswer: -114","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9 = 5*o - 29. Suppose 11 = -3*g + o*g. List the prime factors of g.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 37317.4 rounded to the nearest one thousand?\nAnswer: 37000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1803 divided by 34.\nAnswer: 1803\/34","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -7*i**3*n**3*p + 2*i**3*n*p**3 + 53*i**3*p + i**2*n**3 + 3*i**2*n*p**3 + i**2*p**2 + 10*n**3*p wrt i.\nAnswer: -42*n**3*p + 12*n*p**3 + 318*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 0.00161 + 63.77839. Let m = b - 64. Which is smaller: m or -8?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -r + 2*r + 2*r + (r + 0 + 0)*(-4 - 2 + 4) + 2*r - 4*r + 4*r + (-2 + 1 + 0)*(-3*r + 2*r + 3*r) - 2*r + 5*r - 4*r - 4*r + r + 2*r.\nAnswer: -r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is -2829781 divided by 2?\nAnswer: -2829781\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 3895492 and 451.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let n(g) = 20*g + 44. Let z be n(-2). Solve -9 = 3*j - u - 2*u, -3*j = -2*u + z for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(v) = 13*v**2 + 66*v - 371. Determine n(5).\nAnswer: 284","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 171, 1075, 2553, 4605, 7231, 10431?\nAnswer: 14205","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1\/4, 0.2, -34, -1 in ascending order.\nAnswer: -34, -1, 0.2, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 5\/3*21\/7. Let x be 0*1\/1*1. Solve x = -q*g + 15 + 5 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -1\/4  (b) 2.08  (c) -5  (d) -1  (e) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -31333495*l**3 + 37429042*l**2 wrt l.\nAnswer: -188000970","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is -22610 rounded to the nearest one thousand?\nAnswer: -23000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*u = 2*u - b - 11, 2*u = 5*b + 1 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of (-394)\/(-8) - (-7)\/(-28).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4 = -p + 2*f, 0 = -4*p - 2*f - 3*f - 23. Let m be 4*-1 + 32 + (4 - p). Suppose 190 - m = 13*b. Is b a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 19529203\/460 - 1128305\/23. Suppose -5*c + 8414 = 41444. Let w = l - c. What is the common denominator of w and 55\/12?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify t**(-4)\/(t*t**(-4\/3))*(t*(((t*t*t\/t**(-1))\/t*t)\/t)\/t*t)**(-4) assuming t is positive.\nAnswer: t**(-59\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*d - 867 = -3*d + 4*s, -165 = -d - 2*s. Let u = 261 - d. What is the least common multiple of u and 12?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence byg when three letters picked without replacement from {c: 2, y: 1, r: 7, g: 2, b: 6}.\nAnswer: 1\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 7*s**2 + 10*s - 21*s**2 - 13*s + 17*s wrt s?\nAnswer: -28","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -13645*a**3*k*m + 4*a**3*k - 1341*a**3 + 8*a*k*m + 2*a*k - 2*a*m + 10*a - k wrt m.\nAnswer: -13645*a**3*k + 8*a*k - 2*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -420 - -421. What is the closest to a in 1, -0.4, 10\/11?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 216 + -210 - (-1 + -30).\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 16 - 7. Let k be (m\/(-6))\/(9\/(-12)). What is the common denominator of 75\/4 and 57\/k + (-3 - -4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(u) = -4*u + 17. Let s be r(-4). Let m = s - 40. What is the units digit of m\/3 - -3 - (-178)\/3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 498 is divided by 109.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of -428999, -857911, -1286815, -1715705, -2144575, -2573419, -3002231, -3431005?\n\"Answer: o**3 - 2*o**2 - 428913*o - 85","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is -2 > 6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Express -31953*h + 527909048 - 527909048 in the form q + m*h and give m.\nAnswer: -31953","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 995472723.\nAnswer: 3, 7, 17, 2788439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.4?  (a) 2.54  (b) 0  (c) 0.1  (d) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*m**3 - 8151*m**2 + 16314*m.\nAnswer: -3*m*(m - 2)*(m + 2719)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of 10992, 25683, 40374, 55065, 69756?\n\"Answer: 14691*t - 3699","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 74 and 3182.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let u(g) = -3*g + 2. Let n be u(4). Let s = 25 + n. Suppose -146 = -2*x - 0*x - 4*p, -5*x + 373 = 2*p. What is the highest common factor of s and x?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(r) = -4*r + 4. Let q(c) = -15*c + 15. Let z(o) = 2*q(o) - 9*y(o). Differentiate z(w) with respect to w.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1*2\/12 - 182\/(-84).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (4\/(-2) - 2) + 6. What are the prime factors of 83\/b - (-3)\/2?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 2\/15 + 1820\/350 - (-2)\/(-6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence bbkk when four letters picked without replacement from {a: 4, k: 7, b: 2, x: 1, l: 1}?\nAnswer: 1\/390","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Sort 58, 5, 2, -60.\nAnswer: -60, 2, 5, 58","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5301 - 6479 = -19*t. Is 620 greater than or equal to t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1715 is divided by 26.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -17 + -3 + 14 + -2 + -1 + 9?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let l(g) = 4*g - 6. Let b(v) = -2*v + 3. What is -9*b(a) - 4*l(a)?\nAnswer: 2*a - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let a(p) = -5*p - 31. Give a(26).\nAnswer: -161","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 168844 to the power of 1\/2, to the nearest integer?\nAnswer: 411","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 118177575?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (5*sqrt(42)\/(sqrt(7)*-2))\/(((sqrt(48) + sqrt(288)\/sqrt(6))\/sqrt(3))\/sqrt(8)).\nAnswer: -5*sqrt(3)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2 - 2*j + 2)*(-432*j**3 + 684*j**3 - 372*j**3).\nAnswer: 240*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 1 or -50\/1343?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*x = 12, p = -p + 4*x + 20. Let s(k) = -p - 2 + 27*k - 10 - 17*k. Let v be s(2). Let q(n) = n**2 - n + 4. Determine q(v).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 9 and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*s - 4*f = 4, 4*f = -5*s - 3 + 1. Let y be 0 - (-3 - (s - 2)). Let h = y - 3. Let b(i) = i + 8. What is b(h)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between -4 and -385793577044?\nAnswer: 385793577040","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -0.5  (b) 1\/6  (c) -0.22  (d) -1\/3  (e) -51.14\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -65\/792 and 50\/63.\nAnswer: 5544","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 1490241527 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*o - 66*z + 44 = -63*z, -4*z + 17 = 3*o for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: 144485+5\nAnswer: 144490","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 3?  (a) -13  (b) -3\/4  (c) -4  (d) 961  (e) 0  (f) 3\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: -1.3 * -34\nAnswer: 44.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Round 25490000 to the nearest one million.\nAnswer: 25000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (72\/(-45))\/((5428\/345)\/(-59)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 3949708.\nAnswer: 2, 7, 141061","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -49\/31589004 and -131\/94767012?\nAnswer: 94767012","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -11, -34, -67, -116, -187?\nAnswer: -286","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -221904595*u**2 - 2226*u + 13679.\nAnswer: -443809190","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:18 PM and 3:30 AM?\nAnswer: 672","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -97\/13972 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve t - 3*h - 8 + 38 = 0, -267*t = -256*t - 3*h + 5*h + 505 for t.\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of -4850, -9682, -14514, -19346?\n\"Answer: -4832*u - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of -115, -548, -1271, -2284, -3587?\n\"Answer: -145*s**2 + 2*s + 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 5\/6 in -0.1, -0.2, -0.05?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Factor -z**3 - 14*z**2 - 24*z.\nAnswer: -z*(z + 2)*(z + 12)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 35 minutes after 9:28 AM?\nAnswer: 10:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*v + 280 = -0*v. Suppose 5*w - 4*w = 7. What is the greatest common divisor of w and v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -12  (b) 5  (c) -4  (d) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Convert 3.731724 micrometers to nanometers.\nAnswer: 3731.724","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 504 minutes after 7:51 PM?\nAnswer: 4:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 24 - -120241403?\nAnswer: 120241432","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let x(w) = -2*w + 1. Let v(p) = -p. Let r(y) = 3*v(y) - 2*x(y). Let i = -255 - -248. Let k(q) = 5 + 1 + 1 - 3*q. What is i*r(s) - 2*k(s)?\nAnswer: -s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 12529407 to the nearest integer?\nAnswer: 3540","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 219238 is divided by 31315.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -34705*d**3 + 10625*d**2 wrt d.\nAnswer: -208230","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from qqqrqyryywzwrqyy. Give prob of sequence yy.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -9373\/564 + -484\/47. Let o = z + 104\/3. What is the common denominator of 150\/(-8)*-3*7\/280 and o?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -718*k + 2580*k = 186200 for k.\nAnswer: 100","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3, -3\/5, 4, -966.\nAnswer: -966, -3\/5, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Convert 155 (base 10) to base 15.\nAnswer: a5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 62 is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: How many microseconds are there in 333.7108 weeks?\nAnswer: 201828291840000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Does 6 divide 12508\/583*341\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be ((1 - 0) + 1)\/(-1). Let v(o) be the first derivative of -o**5\/30 + o**4\/24 + 11*o**3\/3 - 2. Let t(c) be the third derivative of v(c). Calculate t(g).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2*((sqrt(77) - (sqrt(77) + 1*sqrt(77))*6) + 2*sqrt(77)*4)\/(sqrt(567)*2 - (sqrt(7) + (-1*sqrt(77) + sqrt(77))\/sqrt(11) - sqrt(7))).\nAnswer: -sqrt(11)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.1081*23.58.\nAnswer: -2.548998","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -1\/310 - 3709\/3410. Let v = -104\/55 - q. Which is the closest to -2\/7?  (a) 0  (b) 2\/23  (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 115 + -80. Suppose -c - 25 = -y. What are the prime factors of y?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 179111.\nAnswer: 179111","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -1 - -3. Let o = l + -1.5. Let v be 1\/(-2)*(6 - (-2 + 4)). What is the smallest value in -1\/4, o, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 125 - 111 - (-1 + 31 + 2)?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -75*m + 4265 = -2485. Let j be ((m\/4)\/9)\/(10\/6). Factor -3\/2*l - j*l**2 + 3.\nAnswer: -3*(l - 1)*(l + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -80052 + 80050. Let w = 0 + -0.22. Sort -0.2, v, w.\nAnswer: v, w, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (5*sqrt(7) + 0 - sqrt(567)*2) + 2*(sqrt(1008) - ((sqrt(1008)*-1 + sqrt(1008))*-5 + sqrt(1008))).\nAnswer: -13*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*y = 6*y - 8540. Is y a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:06 AM and 8:19 AM?\nAnswer: 433","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"}
{"text":"Question: Is 40641787 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: -221234142 (base 5) to base 14\nAnswer: -1b071b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand -2*d**3 - 2*d**3 - 2 + 3*d**3 + (0*d**2 - d**2 - d**2)*(1 - 1 + d) + 2*d**3 - d**3 + 3*d**3 + (d**3 + 4 - 4)*(-5 - 12 - 23).\nAnswer: -39*d**3 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 142*(-3)\/24*-4. Let k = 56 - y. Let w = k + 102. What are the prime factors of w?\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(x) = 22 + 0*x**2 - x**2 - 2*x**2 + 4*x**2. Does 14 divide p(0)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 217 minutes after 2:40 PM?\nAnswer: 6:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -205 - -204. Which is greater: -6\/205 or o?\nAnswer: -6\/205","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (2\/10)\/(20\/(-75))?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 7432249\/870 + -8543. Find the common denominator of -149\/6 and g.\nAnswer: 870","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -9870c (base 13) to base 11.\nAnswer: -179256","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: (-14)\/12*1072\/(-938)\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -s**3\/4 + 118804*s**2 + 475219*s + 475220 = 0. Calculate s.\nAnswer: -2, 475220","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 23876.\nAnswer: 2, 47, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1.4?  (a) -1\/4  (b) 0  (c) 34  (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 5 + 2 - 1 - 2 + 493*w - 6.\nAnswer: 493*w - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Divide -15 by -1841.\nAnswer: 15\/1841","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.09?  (a) -8  (b) 3\/7  (c) 4\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Put 6\/25, -1, 5\/2, 1, -1\/3 in increasing order.\nAnswer: -1, -1\/3, 6\/25, 1, 5\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -41 or -40?\nAnswer: -40","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 627 to the power of 1\/8, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (47 + -51)*2\/8 + 4. Let c(p) = 6*p**2 - 17*p - 7. Give c(k).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 15839?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 42?  (a) -12  (b) 1\/3  (c) -0.05  (d) -0.3  (e) 2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let u(k) = -287*k + 17784. Determine u(62).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -5 + 7. Suppose -5*p + 840 = -5*h, -4*p + u*h + 682 = 3*h. Suppose -13*n + p = -8*n. List the prime factors of n.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 3969230081?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-270)\/(-8) - (-4)\/4. Let v = d + -35. Which is the nearest to -2?  (a) v  (b) -3  (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(z) = -332*z + 12280. Determine t(26).\nAnswer: 3648","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 138769, 138777, 138811, 138889, 139029, 139249, 139567, 140001?\nAnswer: 140569","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 40.5 + 12.5. Let v = -52.42 + x. Let f = v - 0.38. Round f to zero decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -403352363 and -1?\nAnswer: 403352363","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 2.64 + 1.36. What is the smallest value in 1\/2, n, -12?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1549.\nAnswer: 1549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 7 + 0 + -15 + 10?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-7 + 7 - -3)*(-8)\/6. What is the third biggest value in t, 1, -2, -4\/13?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = s - 8*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let k(g) = g**3 - 7*g**2 + 9*g - 9. Let j be k(7). Let u be ((-72)\/(-15))\/6*(-5)\/(-2). Suppose -u*y = -j - 26. What is the units digit of y?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 0.6 and -3005?\nAnswer: -1803","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let c(l) = -l**2 - 3*l + 12. What is the units digit of c(0)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 5599 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let b(z) = 9*z**2 + 6*z + 9. Suppose 2*s + 2 = 2*j, 4*s = 6*j - 9*j + 10. Let u(q) = -q**2 - q - 1. Calculate s*b(i) + 6*u(i).\nAnswer: 3*i**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -0.3  (b) 1\/2  (c) 0  (d) 23  (e) -45  (f) -5\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 1 - 0. Let l = -43\/180 + -1\/90. Let p = 0 + 0.1. Which is the closest to -2?  (a) m  (b) l  (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*q + 196 = 4*k, 0 = -2*q - 2 - 2. Let l = -45 + k. Suppose 2*v + 2*a = 230, -l*v - 5*a = -4*a - 559. List the prime factors of v.\nAnswer: 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -1947 - 83276?\nAnswer: -85223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1*(-4*sqrt(121) - sqrt(121)) - 2*sqrt(121)*-3)\/(sqrt(77)\/(sqrt(7) + sqrt(63)) + sqrt(44)\/sqrt(4)*2).\nAnswer: 4*sqrt(11)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Express (563 - 563 + d)*(-5 + 1 + 1) + (-d - 4*d + d)*(0 + 5 - 3)*(-1 - 2 + 4) as m + q*d and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let b(y) = -10*y - 3. What is b(-4)?\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Expand -r**2 - 3*r**2 + r**2 - 3*r**2 - 1 + 1 + (0*r - 8*r - 2*r)*(-4*r + r + r).\nAnswer: 14*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 3465385467 to the nearest integer?\nAnswer: 1513","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -33166 and -1?\nAnswer: 33166","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {r: 10}. What is prob of picking 4 r?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 3094403035?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let c be ((-4)\/36)\/((-1)\/(-3)). Let g = 12.81 - -0.19. Let w = g - 8. What is the nearest to c in w, -4, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*h - 32 = -5*z, 0 = -3*z + 5*h + 40 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 7192*v**3 - 3547*v**3 - 3525*v**3.\nAnswer: 120*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-8)\/((-200)\/(-3))*(-60)\/6.\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:42 PM and 12:37 AM?\nAnswer: 295","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is (-4)\/(-27)*(0 - 45\/30)?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (11 - 9 - 9)*-6*1. Let o = -2 + k. Calculate the highest common divisor of o and 440.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -598*z**4 + 40*z - 15 wrt z.\nAnswer: -7176*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 71, 99, 113, 119, 123, 131, 149?\nAnswer: 183","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 329 a factor of 402327191?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -231*q + 605*q - 379*q - 558 to the form f*q + a and give f.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 12886309?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 4416 and 934?\nAnswer: 4124544","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) 1\/272  (b) -1  (c) -0.2  (d) 1\/2  (e) -6386\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 5355?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve -265*d + 76120 = 134*d - 179*d + 645*d for d.\nAnswer: 88","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Convert -112201020 (base 3) to base 11.\nAnswer: -8070","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Convert -1232 (base 7) to base 10.\nAnswer: -464","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*u + 1 - 7 = 0. Suppose 5*w + u*y = 63 - 14, 4*w + 2*y - 40 = 0. What is the units digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 42 and 335370.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 63681 is divided by 20839.\nAnswer: 1164","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*k = -5*s - 448, 3*s = -k + 45 + 123. What is the units digit of k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(w) = -2*w**2 + 24*w - 5. Let n be h(11). Solve 5*l - 2 = -n for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 740504*j**3 - 803837*j wrt j?\nAnswer: 4443024*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 9 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 191?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 2755 and 117305?\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let u(r) be the third derivative of -r**5\/105 - 4*r**4\/21 - 32*r**3\/21 + 11*r**2. Factor u(y).\nAnswer: -4*(y + 4)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-c - 3*c + 3*c)*(0*c + 0*c - c**3)*(0 + 0 + 4) + 2*c**4 - 5*c**4 + 0*c**4.\nAnswer: c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 19 + 21. Suppose 0 = -2*v - 2*w + 40, 2*w - a = -2*v - 3*w. What are the prime factors of v?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 17.5 - 13.5. Which is the biggest value?  (a) -4  (b) -1\/5  (c) -0.06  (d) w\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ekv when three letters picked without replacement from kzzllelevzlllvele?\nAnswer: 1\/510","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve -8*q - 4*z + 108 = 0, 4*q + 75 = 9*q - 5*z for q.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 1615 to the power of 1\/3, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Factor l**2\/4 - 813487*l\/2 + 661761099169\/4.\nAnswer: (l - 813487)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let n(q) = 2*q**3 - 237*q**2 - 983*q - 134. Give n(-4).\nAnswer: -122","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let k(t) = -2*t**2. Let s(b) = b**2 + 12*b - 13. Let m be s(-13). Suppose m = -o - 3 - 2, p = o + 14. Let j(n) = p*n + 0*n - 3*n + 8*n. Determine j(k(q)).\nAnswer: -28*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in 309, 1\/4, 10\/17, -0.1, -2\/3, -3, -2?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 78021703 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -0.03 and 0.127?\nAnswer: -0.00381","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -144.071 - -144. Let q = -1458922 + 1458921.92900152. Let a = q - y. Round a to 6 dps.\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*z = -51 - 14. Let m(f) = f**2 + 5*f + 4. Let j(g) = 2*g**2 + 11*g + 9. Let d(w) = z*m(w) - 6*j(w). Give d(-2).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 1201 - 1201. Which is the second smallest value?  (a) -1  (b) -51\/4  (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 21507 a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -3.3 - -1.9. Sort 1, h, -0.2, 3.\nAnswer: h, -0.2, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:58 AM and 12:23 PM?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -559*r = -511*r - 336. Solve -24 = -r*v + 31*v for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0000198631374 to 7 decimal places.\nAnswer: 0.0000199","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Express -5*i**3 + 4*i**3 + i - i**3 as j*i**3 + m*i**2 + k*i + z and give j.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -684, -2683, -6008, -10659?\nAnswer: -16636","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -282*w + 64*w + 63*w + 55*w + 100*w - 2*w**2.\nAnswer: -2*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-44)\/42 - (-1036)\/777. Sort 8, 0, 2\/29, 3, w in ascending order.\nAnswer: 0, 2\/29, w, 3, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -j + 20 = -15. What is the units digit of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 83824960056*h**2 + 75*h**3 - 83824960056*h**2.\nAnswer: 75*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 3379995 a multiple of 34?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let i(j) be the first derivative of 3566*j**7\/7 - 316*j**3\/3 + j**2 + 106. What is the third derivative of i(a) wrt a?\nAnswer: 427920*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(s) be the second derivative of 15*s**5\/2 - 196*s**3\/3 - 900*s. Find the second derivative of a(m) wrt m.\nAnswer: 900*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from mmmuooobmme. Give prob of picking 1 m and 1 b.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 13750227 is divided by 4261.\nAnswer: 4241","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 501 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-20)\/(-40)*(-3)\/((-3)\/4). Let k = -211\/12 - -52\/3. Sort -5, k, i in increasing order.\nAnswer: -5, k, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of ((-2)\/(-16))\/((-2)\/170) and ((-12)\/1554*-1)\/(29720\/3710 + -8).\nAnswer: 296","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 2 - 2. Let g = -0.407 - -259.407. Let k = g + -260. Which is the fourth biggest value?  (a) k  (b) 0.3  (c) 3  (d) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (i*i**(-1\/16))**(6\/7)*i**(-2\/7)*i\/(i**(-4)*i) assuming i is positive.\nAnswer: i**(253\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 58.4 - 30.4. Let y = 489745 - 489772.9949. Let o = y + h. Round o to three dps.\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 8.504 + -8.373. What is the biggest value in f, -3\/7, 0?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 199 + -219. Let j = -20.5 - d. Sort j, -4, -0.4, 1\/4.\nAnswer: -4, j, -0.4, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -59\/130 and -81\/130.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 0.07727 + 0.27943. What is r rounded to 2 dps?\nAnswer: 0.36","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*d**2\/5 - 16*d\/5 - 32\/5.\nAnswer: -2*(d + 4)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Find k, given that 2888*k**5\/21 - 221920*k**4\/21 + 1735542*k**3\/7 - 11256366*k**2\/7 - 1809918*k\/7 - 71874\/7 = 0.\nAnswer: -3\/38, 11, 33","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let l(d) = -d - 8. Let v = 127 + -123. Let w be (-2)\/v - (45\/(-10))\/9. Calculate l(w).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: -3 - (3 - (5 + 5))\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 17133544.\nAnswer: 2, 2141693","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Put 2\/3, 2.2, 1, -2\/5, -3 in decreasing order.\nAnswer: 2.2, 1, 2\/3, -2\/5, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 476 and 85.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (-476)\/204*(-36)\/28. Solve -3 = k - p, -p - j = -8*k + 13*k for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many centuries are there in 73.95837 millennia?\nAnswer: 739.5837","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let h be -3 - (-1 - -8)*35. Is 8\/2 + -1 - h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sum 0.156002 and 2.\nAnswer: 2.156002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*a - 2*x + 91 = 0, 4*x - 2 - 10 = 0. Is -23 less than a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 845244 to the nearest integer?\nAnswer: 919","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let o(q) = 2 + 1 - 2*q + q. Suppose -22*n = 5869 - 5825. Give o(n).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (14 - (-162)\/(-12))\/((-1)\/(-10)). Let z = 56 - 58. Put 85, z, u in descending order.\nAnswer: 85, u, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10 = -7*g + 11. Let w be g - (60\/39 + 1). Factor w + 8\/13*p + 2\/13*p**2.\nAnswer: 2*(p + 1)*(p + 3)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1895 in 0.5, -2\/3, -4, -2?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 27*v - 243*t = -239*t + 435, -83 = 2*v + 2*t + 57 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-109)\/327)\/((-4)\/(-18)*7*(-12)\/(-1736))?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*m = 3 - 9. Suppose 3*c - m*o = 13 + 8, 30 = 3*c + o. What is the highest common factor of 63 and c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(v) = 2*v**2 - 7. Let w(f) = 2*f - 2. Let y be 1 + 2*(-9)\/(-6). Let n be w(y). Let x = n - -1. Let d(o) = o**2 - 4. What is x*d(q) - 4*u(q)?\nAnswer: -q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1\/4, 3, -379, 0.03 in ascending order.\nAnswer: -379, 0.03, 1\/4, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Round 12907.33 to the nearest 1000.\nAnswer: 13000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let q(t) = -10*t + 216. Calculate the smallest common multiple of q(18) and 36.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 341 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -17017*j - j**2 + 8540*j + 8525*j.\nAnswer: -j**2 + 48*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 1401503 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let b(c) be the first derivative of -5*c**2 + 3*c + 216. Let x be -3*1*15\/9. Is b(x) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 5*l**2 - 11*l**3 - 16*l**3 - 3*l + 4*l**4 + 29*l**3 + (4*l - 3*l - 2*l)*(-4*l**3 + 4*l**3 + 2*l**3).\nAnswer: 2*l**4 + 2*l**3 + 5*l**2 - 3*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {d: 1, m: 4, j: 7, t: 2, w: 3, h: 1}. Give prob of sequence wdw.\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 5585178, 11170373, 16755566, 22340757, 27925946, 33511133?\nAnswer: 39096318","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 1362529 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:03 PM and 11:33 PM?\nAnswer: 90","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: -160801*3\nAnswer: -482403","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 9, 20, 45, 90, 161, 264?\nAnswer: 405","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let n(p) be the second derivative of -p**7\/3780 + p**6\/540 - p**5\/180 + p**4\/108 + 56*p**3\/3 + 5*p + 17. Let t(g) be the second derivative of n(g). Factor t(l).\nAnswer: -2*(l - 1)**3\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 2806548?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 6564257 a multiple of 454?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve 402*h + 1338*h - 5732 = 9928 for h.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*r - 4*l = 10, 4*r - 7*r - 2*l = 11 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*z**2 + 0*z**2 + z**2)*((1 + 1 + 0)*(-z**3 + z**3 - z**3) - 3 + 3 - z**3).\nAnswer: -9*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 37470 a multiple of 36?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 1420 + -9937\/7. Let u = 11 - 10.9. Which is the biggest value?  (a) 5  (b) k  (c) -1\/4  (d) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 88011 and 39116?\nAnswer: 352044","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: 66.161 times -0.5\nAnswer: -33.0805","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3862, -0.2, -1849.\nAnswer: -1849, -0.2, 3862","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 1 or 40\/37?\nAnswer: 40\/37","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 3228 a multiple of 62?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 266090 and 2135977?\nAnswer: 2419","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 131*f - 6763853 = -1606645. List the prime factors of f.\nAnswer: 2, 7, 19, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2 - -24 - (-17 - (-63 + 48)).\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1347 - 1347 + 351*t.\nAnswer: 351*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.1?  (a) 1\/159  (b) 0.2  (c) -1  (d) -1\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence yzw when three letters picked without replacement from {i: 1, y: 1, w: 2, j: 1, z: 1, l: 1}.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-1007)\/212 + 14\/8)\/7 - 4*-1.\nAnswer: 25\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is -4 + -29 + 33 + -20?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 68 in 0, 2, 3\/37, 3, -8?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(1700) - (sqrt(1700) - (-1 + sqrt(1700) + -3 + sqrt(1700))) - (sqrt(1700) - (0 + sqrt(1700) + 0)))*1 + 4 + -1)**2.\nAnswer: -40*sqrt(17) + 6801","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 241960*i**3*j + 404*i**3 + 316*i**2*j + 62*i**2 + 3*i*j + 16*i + 9 wrt i?\nAnswer: 1451760*j + 2424","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*l - 8 = -4. Solve 0*o + l = 2*o + k, -5*o - 5*k + 15 = 0 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 8*r**2 - 15*r**2 - 21*r - 3*r**2 - 14*r**2 wrt r.\nAnswer: -48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in -1, -1.8, 1, -3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 1066785 from 4909.\nAnswer: -1061876","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3 + 2*k**2 + 3)*(11*k + 13 - 3 - 12*k).\nAnswer: -2*k**3 + 20*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 4328479 to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -6770 - -12875. Does 111 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -388 plus -11?\nAnswer: -399","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve 219*z + 334*z + 1794 - 17278 = 0 for z.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1436498 is divided by 442.\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 36\/(-66)*7 - (-8)\/(-44). Let b be (-78)\/117 + 1\/3. Sort b, 67, 2, a in ascending order.\nAnswer: a, b, 2, 67","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(w) = -50*w**2 - 4*w - 29. Let j(y) = 101*y**2 + 9*y + 58. Calculate 4*j(f) + 9*r(f).\nAnswer: -46*f**2 - 29","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let k be ((-2)\/6)\/(2\/(-714)). Suppose 0 = 4*a - k - 85. Calculate the remainder when a is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*n - 7 + 1 = -3*d, 5*d + n + 14 = 0. Let s be (28\/(-7))\/d - -1. Solve 3*o = -4 + 1, 3*o = s*x + 9 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(l) = -l**3 + 8*l**2 + 3*l - 19. Let r be b(8). Solve -4*y = r*c - 41, c - 2*y = -0*y - 3 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1 - -29 - (-10 + 34 - 10).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 4\/(-22)*(7 + 2). Suppose 0 = 3*z + 4*p - 176, -11 = -3*z - p + 168. Let u be ((-72)\/z)\/(2\/5). Are u and t equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*s = -s + 5*u - 30, -5*u + 60 = 5*s. Suppose -5*r + 60 = -5*d, -5*r = -s*r - 2*d + 88. Let q = 4 - 2. Solve -r = 2*p - 4*a, -p - q*a + 2 = a for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.0315 in 2\/3425, 4, -25?\nAnswer: 2\/3425","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 57\/98 and -115\/42.\nAnswer: 294","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 91\/(-65)*(-6)\/14.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Round -603.89873 to one decimal place.\nAnswer: -603.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: 10000001111101 (base 2) to base 12\nAnswer: 4991","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -95\/1764 and -76\/7791.\nAnswer: 93492","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 1330\/1108371 != 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Express (-54 + 54 + 8*s**2)*(0 + 2*s + 0) - 2 + 5 - 3 + 2505*s - 2*s**3 - 706*s as g + c*s + t*s**3 + k*s**2 and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 26760 or 26759?\nAnswer: 26759","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 196 and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Divide 5824 by 28.\nAnswer: 208","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 354 and 6254.\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Put -13986, 5, -8 in increasing order.\nAnswer: -13986, -8, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -47, -69, -75, -65, -39?\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (1 + 1)\/(14\/28). Put 3, i, 0.1 in ascending order.\nAnswer: 0.1, 3, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}