diff --git "a/data/dm_maths/full_data_2/2016_11255.jsonl" "b/data/dm_maths/full_data_2/2016_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_2/2016_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: What is the third derivative of -31*o**4*z + 195348*o**4 - 3*o**3*z**3 + 147*o**2*z**3 - 268660*z**3 wrt o?\nAnswer: -744*o*z + 4688352*o - 18*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1144108918.\nAnswer: 2, 23, 24871933","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 46 - 47. Calculate the remainder when 94 is divided by 0 + (-3 - y) + 21.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 971.\nAnswer: 971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/((g*(g**(-1)*g)\/g*g)\/g))**(-48)\/(g**5\/g**(-6\/7)) assuming g is positive.\nAnswer: g**(-377\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -93*t**2 - 5*t**3 + 2*t + 52*t**2 + 47*t**2 + 8 + 4*t**3. Let o(a) = -13*a - 4. Let n be o(-4). Let h = -42 + n. What is k(h)?\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 83\/18 - 115\/36. Let s be (-16)\/(-24) + (-2561)\/(-15). Let c = s + -9949\/60. Calculate the common denominator of z and c.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -20824800 divided by 520620\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve l - 3*h - 12 + 18 = 0, 11*l - 5 = 17*l - 2*h - 1 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 1 = -2. Let z(h) = -13*h**2 - 2*h - h + 26 + 12*h**2 - 23. Let d be z(p). Which is the closest to 4? (a) d (b) -0.5 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*f + 2 - 2)*(0*f - f + 0*f)*(3*f**2 - 2*f**2 + f**2 + 36*f**2 + 18*f**2 + 33*f**2 + (-5*f + 5*f - 2*f**2)*(2 + 2 - 2) - 2*f**2 + 0*f**2 + 0*f**2).\nAnswer: 166*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 91.11 - 82.4. Let n = j - 8.6371. What is n rounded to three decimal places?\nAnswer: 0.073","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 23645.83l in millilitres?\nAnswer: 23645830","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 5, k: 2, x: 6}. Give prob of picking 2 h.\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.01977, -1\/4, -5840 in decreasing order.\nAnswer: 0.01977, -1\/4, -5840","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 5*w**2 - 6*w - 1. Let k be y(5). Let a = k - 137. Let x = a - -47. Calculate the smallest common multiple of x and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 21 (base 4) to base 8.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-10))**(-1\/11)\/(v\/(v**(-23)*v)*v*v*v**18) assuming v is positive.\nAnswer: v**(-463\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(119) - (3*sqrt(119)*-5 - sqrt(119)))\/(-6*sqrt(42)\/sqrt(6)).\nAnswer: -17*sqrt(17)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + k + 4 = 0, -25 = j - 5*k - 9. Suppose -j*x = -0*x + 4. Let b be (3\/x - -8) + 1. Solve 0 = 3*w - f - 4, b + 0 = 4*w - f for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8097167 a multiple of 183?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -19686 - -64175. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) be the second derivative of x**4\/4 + 2*x**3\/3 + 3*x**2\/2 - 20*x. Let n be z(-1). Suppose n*k - 44 + 2 = 0. What is the units digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -l**3 + 11*l**2 - 19*l - 4. Let b be a(7). Let u be -10 + b - (1 - -4). Let w(m) = m**2. Let k(i) = i**3 + 11*i**2. Give u*w(c) - 4*k(c).\nAnswer: -4*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 211122210 (base 3) in base 8?\nAnswer: 40206","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 206.\nAnswer: 2, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9.707739 millennia to decades.\nAnswer: 970.7739","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) be the first derivative of d**3\/3 + d**2\/2 - d + 2. Let l = 0 + 5. Suppose -5*k + 0 = -l. Determine i(k).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = c**3 + 16*c**2 + 13*c + 6. Let j be q(-15). Let n be 9\/j + (-78)\/(-8). Solve -5*d + 5 = 2*l - n, -l = -5*d for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = r**2 - 14*r + 18. List the prime factors of a(14).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 29, 3, -2 in increasing order.\nAnswer: -2, 3, 29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide 210843 by -3.\nAnswer: -70281","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = -5*q + 9. Let p = q - -1. Let d = 1021 - 1019. What is the biggest value in p, d, 2\/15?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13563448 to the power of 1\/4, to the nearest integer?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*m + 2*m - 2*m + 3 + m - 3 + (2 - 1 + 0)*(2*m + 1 - 1))*(-16*m - 253*m - 143*m) to j*m**2 + o*m + i and give j.\nAnswer: -2060","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 783 - 770. Let w = -20 + 161. Calculate the remainder when w is divided by q.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -7673*x - 8. Suppose 68 = 4*s + 76. Let d be y(s). Suppose d - 717338 = -9*k. What is k rounded to the nearest 10000?\nAnswer: 80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.8 - -0.2. Let q = 43 - 38. Let o be 0 - ((-2)\/13 - 0). Which is the third smallest value? (a) o (b) f (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 305141660 * 0.1.\nAnswer: 30514166","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 1865*i + 0 - 1864*i - 1. Let y(c) = c**3 + 2*c**2 - 4*c - 1. Let q(x) = -2*u(x) - y(x). Calculate q(-3).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*t**3 + 19810*t**2 - 19720480*t + 195228800 = 0. What is t?\nAnswer: 10, 1976","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -2 - 2 - (-427)\/(-42) and -137\/30?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 810 is divided by 163.\nAnswer: 158","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8\/(-20) - (2 + 2352\/(-5))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a = 4*a, 40 = -5*r + 3*a. Suppose -2 - 2 = 4*h. Put r, 3, h in increasing order.\nAnswer: r, h, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-161)\/(-805) - (-3)\/10. Let q(k) be the second derivative of 0*k**3 - 1\/20*k**5 - y*k**2 + 0 - 5\/12*k**4 + 11*k. Give q(-5).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.6 - -0.5. Let u be (-7)\/(-14) + 11\/(-14). What is the closest to l in u, -2, -2\/3?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*t - 3 - 5. Let r(m) = m**2 + 4*m - 4. Let s be r(t). Is (-879)\/(-15) - s\/10 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = z**3 - 8*z**2 - 7*z - 13. Let k be t(9). Suppose u - 1 = -2*n, -3*n + k*u + 0*u - 5 = 0. Which is smaller: n or -38\/27?\nAnswer: -38\/27","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 3 - 2*j**2)*(-2 + 3*j + 2 + (0*j - j + 0*j)*(-6 + 1 + 3) + (4*j + j - 4*j)*(-4 + 1 + 0)) in the form c*j + i*j**2 + y + a*j**3 and give a.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(28)\/(sqrt(484)*2) - ((2*sqrt(560) - sqrt(560))\/sqrt(10))\/sqrt(8))**2 + 2.\nAnswer: 4055\/484","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) be the second derivative of h**7\/21 + 52*h**6\/15 + 721*h**5\/10 + 521*h**4\/3 - 2900*h**3\/3 - 5000*h**2 + 2454*h. Determine g, given that c(g) = 0.\nAnswer: -25, -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5.11*-1.\nAnswer: 5.11","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 310 minutes after 7:31 PM?\nAnswer: 12:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 202 = 3*d + b, -16*b + 11*b - 146 = -2*d. What is the greatest common divisor of d and 884?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 328 to the power of 1\/3, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1111111 - 110100100010?\nAnswer: -110110100001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -968*k**2 - 5*k + 2. Let a(s) = -s - 4. Determine u(a(m)).\nAnswer: -968*m**2 - 7739*m - 15466","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-63)\/120*2252\/7882.\nAnswer: -3\/20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*j**3\/4 + 3*j**2\/4 - 3*j - 3.\nAnswer: 3*(j - 2)*(j + 1)*(j + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 26*f - 49. Let q be u(2). Solve s + 0*l + 1 = q*l, 0 = 2*s - l - 3 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (((-496)\/12)\/(-31))\/((-12)\/45). Let z = -880\/7 + 126. What is the nearest to -0.5 in 5, z, s, 0.5?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*z**2 - 9895*z + 6633660.\nAnswer: -5*(z - 529)*(z + 2508)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Determine q, given that -q**2\/2 - 3511*q\/2 + 219736 = 0.\nAnswer: -3632, 121","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -352 - -501. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 400401 and -348.\nAnswer: -139339548","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -5785 + 34619\/6. Let c = 2925 + -35123\/12. What is the common denominator of p and c?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = s**2 - 5*s - 4. Suppose -2*j + 4*c = 30, -2*j = -j + 3*c - 10. Let m be 1\/j + 155\/25. Determine q(m).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 1136402*g + 2. Let l(c) = -c**2 - 10. What is y(l(f))?\nAnswer: -1136402*f**2 - 11364018","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by -163?\nAnswer: -5\/163","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = j + 968. Let w be s(0). Suppose w = n + 3*n. Suppose -x - 3*a = -139, -2*x = -0*x - 3*a - n. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -570 - -252072.848?\nAnswer: 251502.848","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (3 + (5 + -3 + 0 + sqrt(117))**2 - -3*(sqrt(117)*1*-3 + -5 + 2*sqrt(117))).\nAnswer: 3*sqrt(13) + 113","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 0 + 4)*(-r**4 + 23*r**2 + 4*r**4 - 2*r**4) + (-2*r**3 - 3*r**3 + 7*r**3)*(3*r - 3*r - 2*r) + 3*r**4 - 2*r**4 - 2*r**4 + r - r + 2*r**4.\nAnswer: -2*r**4 + 23*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*k**3 - 5990*k**2 + 295655*k + 8896650.\nAnswer: 5*(k - 1145)*(k - 74)*(k + 21)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*m + 3*z + 17, -4*m - 210*z = -213*z + 23 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-14)\/(-49))\/(12\/(-21))*-1.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2507247 to the nearest one thousand.\nAnswer: 2507000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 0*o**2 + 2*o**2 - 3*o**2. Let j(r) be the first derivative of r**6\/180 - 4*r**3 + 5. Let g(i) be the third derivative of j(i). What is g(z(p))?\nAnswer: 2*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, -3, 5 in descending order.\nAnswer: 7, 5, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 41086 to the power of 1\/2, to the nearest integer?\nAnswer: 203","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -z**2 - 835*z**3 + z**2 - 311*z**3.\nAnswer: -1146*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 147, 1, 85, 4, 2 in decreasing order.\nAnswer: 147, 85, 4, 2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -12 - -14. Let g = n + 34. Let d = g + -36.2. What is the smallest value in -5, -7, d?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1593943 to the power of 1\/2, to the nearest integer?\nAnswer: 1263","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = n + 7. Let u be k(-7). Calculate the remainder when 3 is divided by 1\/2*4 - u.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 5758*j + j**2 + 10966*j - 5560*j + 1.\nAnswer: j**2 - 352*j + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1188 - s**3 + 4930 - 1191 - 1366 - 1185.\nAnswer: -s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 70\/(-22) - -3 - 0. Let x be 32\/(-10) + 24\/8. Which is the second biggest value? (a) x (b) 2 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4 + 5. Let v(r) be the second derivative of 13*r**5\/20 - r**4\/6 + r**3\/6 - r. List the prime factors of v(g).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 212.3324 times -5.7?\nAnswer: -1210.29468","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8253705?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 13 divided by 1213\nAnswer: 13\/1213","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -22110442 (base 7) to base 13.\nAnswer: -517849","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vqq when three letters picked without replacement from {z: 3, v: 4, q: 2}?\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1 - -2)*(5 - 3). Let h(k) be the third derivative of 0*k**3 - i*k**2 + 0*k + 1\/5*k**5 + 2\/105*k**7 + 0 + 1\/6*k**4 + 1\/10*k**6. Factor h(f).\nAnswer: 4*f*(f + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -238 + a?\nAnswer: -22a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*t - 4*t = -2. Let d = 3.7 - 4. Let n = d + 0.6. Which is the nearest to 1\/3? (a) t (b) n (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 5*(182\/140 + (-2)\/4). What is the closest to -1 in -25, 5, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -4*h**3 + 3*h**2 + 3*h - 9. Let p(c) = -3*c**3 + 4*c**2 + 4*c - 10. Let r(d) = -3*p(d) + 4*y(d). Differentiate r(q) wrt q.\nAnswer: -21*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -2\/13 (b) -24 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 80583 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 6\/25 of a gram?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 62\/33887 greater than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jiijjjh. Give prob of picking 3 j.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 241 + -345. Let p = r + 103.785. Round p to two decimal places.\nAnswer: -0.22","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2299) + sqrt(2299)*3 + sqrt(2299) + sqrt(2299))**2*3.\nAnswer: 248292","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 2*t**2 + 2*t + 1. Let l be v(-2). Suppose -2*i = b - 5*i - 21, -l*b + i = -91. Calculate the remainder when b\/12 + 82\/4 is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1633.91 + -5.482992.\nAnswer: 1628.427008","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 1035\/(-54) + -4 + (473 - 455)\nAnswer: -31\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -8541426 divided by -3\nAnswer: 2847142","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 12*l + 94. Determine a(-7).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7424.\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 7 = -4*c + 2*g, -2*g - 10 = 0. Let r(k) = -k**2 - 3*k - 5*k - 9230 + 9224. Calculate r(c).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 816\/(-756) + 12\/14.\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 287 and 28.\nAnswer: 1148","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 83?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g**2\/11 - 250*g\/11 + 1300\/11 = 0.\nAnswer: -130, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -4*y. Let q be l(6). Let z be q*(-64)\/24 - (3 + 1). Calculate the greatest common divisor of z and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 5845 and 595?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14 + 75 - 46 - 19*v**2 - 15.\nAnswer: -19*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1161171 and 4406589.\nAnswer: 3663","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 34084187 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -9 - -50. Let d = p - 7. Suppose 0 = -4*f - 51 + 255. What is the highest common factor of d and f?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.5163 + -35.3957. Let l = 36 + h. What is l rounded to two decimal places?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2019364 - 2019530.00077. Let k = u - -166. What is k rounded to four dps?\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -a**2\/4 + 57*a - 1115\/4.\nAnswer: -(a - 223)*(a - 5)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-103)\/(25956\/108))\/(1\/(-1)*3).\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 5*b + 41 = 0, 4*b - 2*b - 10 = -5*q. Suppose 3*h + q = -5*f, 3*h + 4*f + 4 = h. What is the smallest common multiple of 11 and h?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 130 (base 9) to base 3\nAnswer: 11000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -3*k - 2. Let q be -99*(-10)\/210 + (-10)\/(-35). Sort 44, -5, q, k.\nAnswer: -5, k, q, 44","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2598486 a multiple of 684?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -21465 + -2314025?\nAnswer: -2335523","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 1876730.438 to the nearest one hundred thousand.\nAnswer: 1900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 2031 minus 0.02555?\nAnswer: 2030.97445","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -10 + 14. Suppose -3*w + k*w + 4*u = 24, 4*w = 3*u + 96. What is the tens digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 4, -1, -136, 17, -2, 5.\nAnswer: -136, -2, -1, 3, 4, 5, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -31*j - 4*j + 20*j. Let n(i) = 5*i**2. Determine f(n(g)).\nAnswer: -75*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 3168 (base 16) to base 4\nAnswer: 3011220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = y**2 - y - 1. Let o(w) = -2*w - 11. Let j be o(-8). Suppose -2*q + j + 7 = 0. List the prime factors of h(q).\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1771518636 divided by 98417702\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 1 w when two letters picked without replacement from wiwie?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*d - 12 = -10*d. Let q(t) = -3*t - 2. Let p(m) = 2*m + 1. Calculate d*p(g) + 3*q(g).\nAnswer: -g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18536*g - 5 - 20 - 18536*g + 47 - 16 - 4*g**2.\nAnswer: -4*g**2 + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 988.2641 years?\nAnswer: 11859.1692","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 550?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) be the third derivative of -f**6\/160 - 47*f**5\/40 - 451*f**4\/32 - 267*f**3\/4 + 1570*f**2 - 3*f. Factor d(p).\nAnswer: -3*(p + 2)*(p + 3)*(p + 89)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) be the third derivative of s**6\/40 + s**5\/15 + 64*s**3\/3 - 9*s**2 - 9. What is the derivative of w(r) wrt r?\nAnswer: 9*r**2 + 8*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/5, 0.1, -3\/4, 0.4, 1565 in decreasing order.\nAnswer: 1565, 0.4, 0.1, -2\/5, -3\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*m + 392160 = 18*m + 12*m. What is the ten thousands digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*r + 3*r + r)*(2*r**2 - r**3 - 2*r**2)*(-3 - 2 + 3)*(4*r + r - 3*r)*(-60 - 48 + 92).\nAnswer: -64*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 6977475310?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 2*c. Let q = -8 - -11. Suppose q*p - 4*p + 2 = 0. Let h(m) = m**2 + 3*m**2 - 5*m**p. Give h(x(n)).\nAnswer: -4*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -46 - -48. Suppose 2*x = 3*n - 316, 30 = n + a*x - 78. List the prime factors of n.\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) be the first derivative of 2*f**3\/3 + f**2 + 3*f + 2. Let a be x(-2). Suppose -5*t = -a - 13. What is the least common multiple of t and 10?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -23\/2 or 94?\nAnswer: 94","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -f**2 + 1. Let r(s) = -3*s**2 - 7*s + 59. Let x(u) = 2*d(u) - r(u). Let c be x(-12). Solve 3*b + 4*o - 3 = 0, c*b - 13 = o + 5 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 372973 (base 11) to base 6\nAnswer: 20345011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 + -3 + (2 - -5)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -4, 1439, 22, 0.2, -2, -2\/11?\nAnswer: 22","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 4*h. Suppose 7 = -4*q + 3*a, -3*q - 3*a = q - 23. Let w(c) = c**q - c**2 - 3*c**2 + 4*c**2. Determine b(w(x)).\nAnswer: 4*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 3 + -22d3c6?\nAnswer: -22d3c3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 31001 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 2059755757 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 593, -2, -17, -1, 1, 3 in decreasing order.\nAnswer: 593, 3, 1, -1, -2, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -8b75d1 + 1?\nAnswer: -8b75d0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) be the second derivative of -7*r + 3\/100*r**5 + 1\/4*r**4 + 4\/5*r**3 + 6\/5*r**2 - 5. Determine a, given that w(a) = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 + 4 + 3 - -1 - 12 - 5\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 6*m + 5. Let r be (102\/(-12))\/(2\/8). Let c = -19 - r. Let v = c - 9. Let w(l) = -7*l - 6. Calculate v*g(i) + 5*w(i).\nAnswer: i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 greater than -7\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sum -326418425 and -0.4.\nAnswer: -326418425.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 142.1 - 142. Is -1.5 <= z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 45020802745 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -11 - -11 - 31 - 3?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 19150*q + 81. What are the prime factors of v(1)?\nAnswer: 19231","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r**2\/7 - 3981864*r\/7 + 1321270076208\/7 = 0. Calculate r.\nAnswer: 663644","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1 - 3. Let j(n) = 2*n**2 + 3*n + 3. Let r be j(x). Suppose r*f - f = -64. What is f rounded to the nearest ten?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 582062732.\nAnswer: 2, 41, 61, 83, 701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:59 AM and 8:28 AM?\nAnswer: 149","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d + 667 = -3*n, 0 = 3*n + 3*d - 2*d + 682. Let r = n - -131. Is r less than -98?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -14924500 to the nearest 100000.\nAnswer: -14900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh smallest value in 1\/2, -2\/15, 7, -5, 4, -17, 0.1?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 2*k + 11. Let m be d(-13). Let q be m\/(-1)*2\/6. Solve 0 = 6*l - q*l - f + 4, 5*f - 2 = -4*l for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -b - 4. Suppose 3*c + 30 = -2*c. Calculate g(c).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -4*u**2 - 2*u + 2. Let i be o(-2). Let h = i - -14. Suppose -h*z = -19 - 25. What are the prime factors of z?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 2, q: 3}. Give prob of picking 2 m.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4.69 + -0.19. Let p = -7.2 - 2.3. Let o = s + p. What is the second smallest value in 2, o, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*v - 2*o - 6, 3*v - 2*o - 15 = -2*v. Let w(l) = 9*l + 2 - 13*l + 5*l + v. Calculate w(-4).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (1 - 5) + 0 + (-15)\/(-3). Suppose -2*x = -x + i. Let p be 42\/15 + -6 + 3. Is x >= p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -46565 + 46570. Factor -10\/3 + i*j**3 - 50\/3*j**2 + 15*j.\nAnswer: 5*(j - 2)*(j - 1)*(3*j - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 41\/168 and -15\/11.\nAnswer: 1848","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (417 - x - 417)*(-2 - 1 + 1) to v + r*x and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 35089 less than or equal to 35086?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3729529.\nAnswer: 19, 196291","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 61 = 3*u - l, 4*u + 2*l - 84 = 6*l. Calculate the remainder when (u\/(-6))\/((-2)\/24) is divided by 14.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -13*t**2 - 17*t - 13. Let v = 0 - 4. Let a(l) = 3*l**2 + 4*l + 3. Let h be (-81)\/12*(-24)\/(-9). Let w(b) = h*a(b) + v*r(b). What is o in w(o) = 0?\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2)\/(-21)*3 + (-30875)\/91. Let c = x + 572. List the prime factors of c.\nAnswer: 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o, 1 i, and 1 w when three letters picked without replacement from iwio.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 3427 (base 11) in base 14?\nAnswer: 18dc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -89 - -18. Suppose -3*x = 7*x + 1060. Let b = q - x. List the prime factors of b.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 104 - 68 = -78*m + 534 + 126 for m.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20884 is divided by 12.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 32 - (-672)\/(-32) - (-1)\/1?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3 + -2. Let w(q) = q + 24. Let f be w(-29). Which is the biggest value? (a) f (b) -2 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -24 (base 11) to base 2.\nAnswer: -11010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1393013?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k + 0*k = 4*l + 25, 0 = -2*k + 4*l + 10. Let p(m) = -m**2 + 6*m + 1. What is p(k)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12924724 is divided by 749.\nAnswer: 729","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 99539719 to the power of 1\/3, to the nearest integer?\nAnswer: 463","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -112 + 16 = -6*x. What is the tens digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - 2535.3072?\nAnswer: -2536.3072","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 21\/968 and -79\/15004.\nAnswer: 30008","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 11.31 * 11.6\nAnswer: 131.196","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 49897904531 minus 13.44?\nAnswer: 49897904517.56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*i + 6*i**2 - 24*i**2 - i)*(-32*i + 15*i - 29*i).\nAnswer: 828*i**3 + 46*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -596*b*h**3 + 13*h**3 + 14 wrt b.\nAnswer: -596*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5\/(-15))\/((32 + (-26 - -3))*-1).\nAnswer: 1\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.9261246 litres in millilitres?\nAnswer: 926.1246","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 9629\/6 + -1619. What is the common denominator of m and -89\/18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 115 divided by -98879?\nAnswer: -115\/98879","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 4 times 17092\nAnswer: 68368","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1341360*x - 3 - 1341357*x + 3 + 2682719*x.\nAnswer: 2*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.5 (b) -15 (c) -0.7 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = h**2 - 15*h - 2. Let q be k(15). Let d be (-150)\/(-20)*q\/3. Is -4 <= d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0 (b) -0.16 (c) 0.1 (d) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*a**3 + 2*a**4 - 3*a**3)*(-93 + 157 + 265).\nAnswer: 658*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 137\/12 and 1287\/(-108) + (-2 - -5).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*f - 5*f + 4. Suppose 3*g = -2*g, -2*g + 15 = 5*s. Sort 0, s, f.\nAnswer: f, 0, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 3*s - 19. Let w be k(6). Let n(v) = -5*v + 1. Determine n(w).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*sqrt(51)\/sqrt(3) - (2 + sqrt(17))**2*2) + (sqrt(68)\/sqrt(4)*-4 - (sqrt(2448)*-3)**2).\nAnswer: -22074 - 17*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 73317.01um in centimeters?\nAnswer: 7.331701","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 67419?\nAnswer: 3, 11, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 6*m**3 + 22*m**2 + 12*m - 2. Suppose p - 3*p - 4 = 0. Let o(v) = 5*v**3 + 22*v**2 + 13*v - 1. Let x(z) = p*o(z) + 3*r(z). Factor x(u).\nAnswer: 2*(u + 1)*(u + 2)*(4*u - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 638*(-45)\/((-68310)\/69).\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 72, 153, 234, 315, 396?\nAnswer: 477","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 193 divided by -178?\nAnswer: -193\/178","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6829, -13653, -20475, -27295, -34113?\nAnswer: -40929","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -4*x**2 - 2*x + 1. Suppose 16*v = 4*v + 12. Let t(f) = -f. Determine v*c(z) - t(z).\nAnswer: -4*z**2 - z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*m**3\/3 - 192*m**2 - 12600*m + 180000.\nAnswer: -2*(m - 12)*(m + 150)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -6937 - -8533. Calculate the greatest common factor of 84 and n.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/8, 0.16, 3, 0.5.\nAnswer: 1\/8, 0.16, 0.5, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (-30)\/24*(-40)\/25?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2950 is divided by 1010?\nAnswer: 930","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = n**3 + 9*n**2 + 6*n - 14. Suppose -118*o = -116*o + 16. What is j(o)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1004540 divided by 200908?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Determine a so that a**5\/4 - 3*a**4\/2 - 3*a**3\/2 + 7*a**2 + 45*a\/4 + 9\/2 = 0.\nAnswer: -1, 3, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 22 and 227?\nAnswer: 4994","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -18*x + 12. Let i(t) = 127 - 237 + 109. Let h(a) = 12*i(a) + w(a). Let p(q) = -5*q. Give h(p(f)).\nAnswer: 90*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let -44*p**2 - 83*p**3 - 119 - 200*p - 89 + 85*p**3 = 0. Calculate p.\nAnswer: -2, 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*g - 353 + 353.\nAnswer: -6*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -79 + 78 + (0 - -5 - 0) - 14?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 2021412 divided by -3\nAnswer: -673804","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 62*c - 5. Let s(j) = 1. Let d(q) = -2*s(q) + t(q). Is d(6) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33*b + 2394 = 11*b - 92*b for b.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 204\/5*v**2 + 0 - 2\/15*v**3 + 0*v.\nAnswer: -2*v**2*(v - 306)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1705103?\nAnswer: 1705103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 24.41*-40\nAnswer: -976.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 107*l - 1644 - 2227 = 944 for l.\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - (-11 + 34 + -12)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 543*d**2*g*n - 615*d**2*n with respect to g.\nAnswer: 543*d**2*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.3 + -3. Let l = 2.8 + m. Let p = 0 - l. Is p < 6\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide (81\/(-2))\/((-14 + 4)\/820)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 14333940 to the nearest integer?\nAnswer: 243","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 i when three letters picked without replacement from iggigibiiigigigbii.\nAnswer: 5\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -4 - 878\nAnswer: -882","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -2*s**3 - 21*s**2 - 16*s - 3. Let r(q) = q**3 + 10*q**2 + 8*q + 1. Let f(u) = 5*r(u) + 2*z(u). Let x be -10 + (1 - 2\/1). Let w = x + 4. Give f(w).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -83\/208 and 109\/6.\nAnswer: 624","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1610372319 to the power of 1\/9, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 10 = 2. Let s(p) = -p**3 + 5*p**2 + 7*p - 8. Let c be s(w). Is (-4)\/c - -77 - 0 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q = q + 4*a - 4, -2*q - 3*a + 3 = 0. Solve 3*t + 48 - 57 = q for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*v**2 + 41 - 12*v**2 - 35 with respect to v.\nAnswer: -28*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 25 - 8. Let h = 46 - q. What are the prime factors of h?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1472, -1, 4, 5, 1, 3 in descending order.\nAnswer: 1472, 5, 4, 3, 1, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 359791 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 0 + 0)*(s - s + 2*s**4) + (3*s**4 + 0 + 0)*(-9 + 1 + 14).\nAnswer: 22*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 21665299 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*f**5\/4 + 201*f**4\/2 - 4473*f**3 + 66150*f**2.\nAnswer: -3*f**2*(f - 50)*(f - 42)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:44 PM and 6:38 PM?\nAnswer: 354","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*f + 6*f - 6 - 29 + 5*f - 13*f.\nAnswer: f - 35","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 144515210 to the nearest integer?\nAnswer: 525","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 2, n: 2, k: 11}. Give prob of sequence ckn.\nAnswer: 22\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*v**2 + 11*v**2 - 8*v**2)*(-1399 + 1399 + 36*v**2).\nAnswer: -36*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = -5 + 25. Let n(l) = l**2 + 9*l - 4. What is the least common multiple of 1 and n(q)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -1 - 2*u - 1 - 1. Let s(h) = -1. Let j = 678 - 664. Suppose -3*m = w + j, 4*m + 1 + 11 = -3*w. Determine m*s(y) + x(y).\nAnswer: -2*y + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -2 - -447?\nAnswer: 445","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*i**3 - 2*i**4 - 2*i**3 + (-6*i**3 - 30*i**3 - 35*i**3)*(i - 2*i - i) to b*i + a*i**3 + y*i**4 + k + t*i**2 and give y.\nAnswer: 140","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (1*sqrt(612))**2 - (sqrt(612) + 0 + 4)) + ((-2*sqrt(17))**2 + -4)*-5*4.\nAnswer: -677 - 6*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -18*c + 4*c + 31*c to z*c + o and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (53\/106)\/((-147)\/(-14))?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 2, e: 1, x: 6, g: 2}. Give prob of picking 1 e and 1 g.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*f = -p - 26, 0 = -7*p + 10*p + 4*f - 18 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 36 + 2 + -68 + 85.\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 103 = 2*q - 306, 3*q - 302 = z. Let b = -79 + q. Solve -5*w - b = -w for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/5 or -5.64?\nAnswer: -5.64","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-3\/16))**(-10)*z**(3\/11)*z**(7\/8) assuming z is positive.\nAnswer: z**(133\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 38, 116, 252, 470, 794, 1248, 1856, 2642?\n\"Answer: 4*x**3 + 5*x**2 + 35*x - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -341 - -341.000645. Round l to 4 dps.\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = s**3 - 4*s**2 + 2*s - 9. What is w(4)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 39432 + -3702. Is 30 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 743 + -743.2. Sort c, 3, -2, 0.5 in decreasing order.\nAnswer: 3, 0.5, c, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 22*n**4 - 13*n**3 - 29*n - 44*n**3 - 11*n**3 - 67*n - 21*n**4 wrt n.\nAnswer: 12*n**2 - 408*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/14)\/((-111)\/12 - (-110)\/11)?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.04957025863 and 0.1.\nAnswer: 0.14957025863","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -q - 4. Let s be v(-5). Let b(f) = -3*f**2 + 2*f - 1. Let u be b(s). Let z = 0 - u. What is the units digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -6925\/4 - -1738. Find the common denominator of -17\/898 and u.\nAnswer: 1796","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4381 + -4371. Solve -3*r + m = a, -3*r - 43*m = -42*m + 20 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = m**2 - 134*m - 20207. Determine x(-89).\nAnswer: -360","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:22 PM and 9:49 PM?\nAnswer: 507","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (0 + -2 + 1)\/1. Let h = 307 - 605. Let t = h - -298.5. Which is the second biggest value? (a) -0.1 (b) t (c) 4 (d) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -20847*q**6 + 26*q**5 - 2*q**2 - 2203*q + 196 wrt q.\nAnswer: -2501640*q**3 + 1560*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1045c73 - -5?\nAnswer: 1045c78","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -w**3 - 24*w**2 - 13*w + 11. List the prime factors of o(-24).\nAnswer: 17, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -516*z + 525*z + 81 = 0 for z.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*x + 10*x - 9 = -3*u, 3*x = -9 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/11 in 33, -0.3, -3\/2, 5\/8?\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -100 - -103 - (-3 + -2 + -3 + 6) - -85?\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (46*z - 79*z - 27*z - 29*z)*(5*z - 4*z - 3*z).\nAnswer: 178*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(117) - (sqrt(117) - (sqrt(117) - -1*sqrt(117))) - sqrt(117)) + 5 + -2 + sqrt(208)*-2)**2*3.\nAnswer: -90*sqrt(13) + 1002","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 252, 495, 738?\n\"Answer: 243*v + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1.4, 4, 3\/4?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.2 and -6153381916385.8?\nAnswer: 6153381916385.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 143\/90 and 17\/180.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 25 minutes after 10:45 AM?\nAnswer: 11:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 65620*p**2 + 1 - 63278*p**2 + 1.\nAnswer: 2342*p**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + f + 9357 = 0. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = z**2 - 439*z + 5068. Let g be i(12). Which is smaller: g or -45?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 923837457.\nAnswer: 3, 109, 2825191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 28598?\nAnswer: 2, 79, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*c + 10 = 5*p, -5*c + 2*p = 294 - 293 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 926303237 divided by 70597\nAnswer: 13121","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1189*f**2 - 6576165*f - 453*f**2 + 6576163*f + (-2 + f**2 + 2)*(-1 - 1 + 1).\nAnswer: -1643*f**2 - 2*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 3*c + 2 = 0, 0*y - 4*y + 14 = c. Suppose 2*u - h = 33 + 15, y*h = 4*u - 96. Calculate the greatest common divisor of 12 and u.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 18*b - 43*b + 319775. Is b a multiple of 72?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 62\/22 + 10\/55. Solve 0 = x*c - 3*p + 9, 3*c + p - 1 + 6 = 0 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xuxxppxxlluxxxpx. Give prob of sequence lp.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 523884643 a multiple of 72?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 34\/48 - ((-15)\/(-9))\/(-7 - -12).\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f + i = -0*i - 42, 2*f = 2*i - 12. Let h = f + 2. Let j(m) = m + 13. What is j(h)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 43, 104, 175, 262, 371, 508, 679?\nAnswer: 890","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w**5 - 48*w**4 - 52*w**3 + 146*w**2 + 51*w - 98 = 0. Calculate w.\nAnswer: -2, -1, 1, 49","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 335372 is divided by 259.\nAnswer: 226","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1\/24, 9, -4?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = q**3 + 69*q**2 - 615*q + 41. What is p(-77)?\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*p**2\/3 - 170*p\/3 + 13300 = 0. What is p?\nAnswer: -190, 105","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 390483, 392307, 394131, 395955, 397779, 399603?\n\"Answer: 1824*s + 388659","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 57 + -11. Suppose 33*w + 3475 = 14959. Suppose 43*p + w = r*p. What is the hundreds digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -10*d**3 + d**2 - d. Let r be b(2). Let h = -34 - r. Let m be (-8)\/h + 92\/22. Solve -j = -m, g + 2*j - 4 = 6 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -v**2 + 4*v + 22. Let p(b) = -b**2 - 40*b - 169. Let j be p(-35). What is o(j)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0\/(-20) - 44\/(-16))\/((-6)\/(-8)).\nAnswer: 11\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 3*w**2 - 6*w - 5. Let i be k(-1). Suppose -2*y + 4 = 0, -i*j - j - 5*y + 15 = 0. Solve j - 5 = -v for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = o**3 + 4*o**2 - 2*o - 6. Suppose 0*a = 5*a + 4*s + 28, 0 = a + s + 6. Give y(a).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -7 + 5 - (2 + (1 - 2)). Which is bigger: z or -6?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10520132 to the power of 1\/10, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1435, -1461, -1487?\nAnswer: -1513","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*u, r + 3*u - 5*u - 660 = 0. Does 50 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cf when two letters picked without replacement from fbfbffbbcc?\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*m = 5915 - 728. What is the tens digit of m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 6102 - 1709. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 73092 is divided by 18260?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(-5 + -1 + -4*sqrt(1700)*3 + (sqrt(1700) - (sqrt(1700) + 3)) + 1))**2.\nAnswer: 69120*sqrt(17) + 8815104","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 30133 + 4?\nAnswer: 30140","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h = 2*m + 4, -3 = -m - h - 11. What is the lowest common multiple of (8\/6)\/(m\/(-18)) and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 221121146 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -486.254 + 487. Let t = 0.746 - j. Is 181 at least t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*v + 7*h - 17, 91*h = 3*v + 172*h - 86*h + 52 for v.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -83124284 minus -5?\nAnswer: -83124279","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -375 - -2132. What is the thousands digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 592472828?\nAnswer: 2, 148118207","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 32\/1515 or -1?\nAnswer: 32\/1515","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 g when three letters picked without replacement from {g: 5, d: 5}.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 2573353 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -552*n**2 + 549*n**2 + 2*n + 3 - 2*n - 161*n**5 wrt n.\nAnswer: -9660*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 8*a + 30*a - 18*a - 1 - a + 1 - a - 2*a + 2*a - 3 + 3 + 2*a - 2*a + 2*a + a + (1 - 1 + 2)*(a - a + 2*a) + 4*a - 3*a + a + 5 - 5 - a + 32*a + 5*a - 17*a.\nAnswer: 46*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 21ba - 39d?\nAnswer: 1c1b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1584)\/(-110)*1\/3 - 6.\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5813?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -d. Let f(w) = -1078*w + 38. Let l(n) = 8624*n - 292. Let h(g) = 23*f(g) + 3*l(g). Calculate h(z(c)).\nAnswer: -1078*c - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -17558*p - 105342. Give m(-6).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -s**2 - 7*s. Let z(b) = -b**2 - 5*b. Let g be (-4)\/12*(5 + -20). Calculate g*p(u) - 7*z(u).\nAnswer: 2*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 64 - 95. Are -31 and h unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 58176758 + -1435?\nAnswer: 58175323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Expand (15*z**2 + 2*z**2 + 12*z**2)*(-3*z - 2 + 2)*(-6*z + 7*z + 2*z).\nAnswer: -261*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.5 + -0.8. Let t = -0.106 - -0.006. What is the closest to 1\/3 in r, 1, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2*s - s + 5*s)*(-4 - 2 + 4) - 5*s + 0*s + s)*(-7*s**2 - 3 + 3).\nAnswer: 56*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -81 = -3*r - 63 for r.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1867*g = 20212 + 325 for g.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 37860\/7590 - -1*(-5 + 0). Let q = 8111\/1265 + a. Calculate the common denominator of q and -34\/9.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -151\/6420 and 31\/1428.\nAnswer: 763980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 1, g: 1, u: 1, d: 1, y: 1}. What is prob of picking 2 y, 1 g, and 1 u?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = l - 3. Suppose -18 = -3*o - 6. Let r be t(o). Is ((-14)\/4)\/(r\/(-2)) a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14473 is divided by 14?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) be the first derivative of p**6\/2 + 3*p**5 + 27*p**4\/4 + 7*p**3 + 3*p**2 - 709. Factor d(f).\nAnswer: 3*f*(f + 1)**3*(f + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) be the third derivative of 7*c**5\/60 + 2*c**2 + 23*c. Let l(m) = -2*m**2 - 71. Calculate k(l(q)).\nAnswer: 28*q**4 + 1988*q**2 + 35287","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -42*d**6 - 227416*d**3 - 21072191*d**2?\nAnswer: -5040*d**3 - 1364496","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 622 and 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7 - -11) + -1 + (-2 + -8 - -5).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2038 and 2034?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 4\/7*3384\/(-11280)\nAnswer: -6\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 16 + -11. Let l = t + -2. Suppose -l*v + 41 = -5*o, 5*v + 7*o = 2*o + 55. What is the remainder when 34 is divided by v?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5151\/132*2 - ((-70)\/440)\/(28\/(-8))\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1575 a multiple of 102?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 2, f: 4}. Give prob of sequence rrf.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -a**2 - 7*a + 3. Let v(u) be the first derivative of 9*u**2 + 255*u + 175. Let p be v(-14). Let d(k) = 2*k**2 + 15*k - 7. Determine p*d(g) + 7*q(g).\nAnswer: -g**2 - 4*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 60, -0.3, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -272*k - 796*k + k**5 - 661*k + 1091*k**3 wrt k?\nAnswer: 20*k**3 + 6546*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 3*k + 5. Let h(x) = -197 + 0*x**2 - 2*x**2 + 197. Give r(h(a)).\nAnswer: -6*a**2 + 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1.786 + -1.746. Let g = -72 + 357\/5. What is the third smallest value in 0.3, -0.5, o, g?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -2*p - 4. Let q(g) = -5*g - 11. Let i(m) = 4*q(m) - 11*u(m). Let v(o) be the third derivative of 7*o**4\/24 + 649*o**2. Calculate -6*i(t) + 2*v(t).\nAnswer: 2*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((16744\/(-1449))\/52)\/((-5)\/3*(-2)\/(-1005)).\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o\/o**1*o*(o\/o**(2\/9))\/o*o*(o**(-1))**(2\/51) assuming o is positive.\nAnswer: o**(266\/153)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sum 1 and -0.755194.\nAnswer: 0.244806","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -82*h + 33*h + 98 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 42, 0, -4, 3, 29, -1, 5 in decreasing order.\nAnswer: 42, 29, 5, 3, 0, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(27) + sqrt(3) + -5 + (sqrt(165)\/sqrt(5))\/sqrt(11).\nAnswer: -5 + 5*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:01 PM and 8:21 PM?\nAnswer: 260","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 9313.386l?\nAnswer: 9313386","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (sqrt(112)*-4)\/(sqrt(36)\/sqrt(144) - sqrt(4) - sqrt(4)) + -5.\nAnswer: -3 + 32*sqrt(7)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*j - 1281 + 1289. Sort j, 4, -1426 in descending order.\nAnswer: 4, j, -1426","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 708 is divided by 700.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 4, f: 2, l: 3, u: 2}. What is prob of picking 2 r and 1 u?\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -7 - -10. Is 11 a factor of (11 - k)*(-22)\/(-8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1554 + -1470. Let t = 11 + 101. What is the highest common divisor of s and t?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) be the third derivative of 4*g**5\/5 + g**3\/6 + 10*g**2. Is v(1) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 395217 and 1580868.\nAnswer: 1580868","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 11210000 to the nearest one million.\nAnswer: 11000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 678193275 to the nearest integer?\nAnswer: 879","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1535?\nAnswer: 5, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(700) + 0) + 5 + sqrt(700) + -1 - ((sqrt(700) + 0)*3 + 2*sqrt(700) + -3 + -1))**2*-1.\nAnswer: -2864 + 320*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1047 less than -7?\nAnswer: -1054","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 1 + 6)*(10*a + 3*a - 32*a)*(-3*a + 3*a - 3*a**2).\nAnswer: 228*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 2 - 73?\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*sqrt(385)\/(-2*sqrt(7)))\/(sqrt(220)\/(-1*sqrt(5))).\nAnswer: -3*sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -0.12*28\nAnswer: -3.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hyhchpphhhpfc. What is prob of sequence chch?\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -1901211*v - 110. Let o be s(-10). What is o rounded to the nearest 1000000?\nAnswer: 19000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - -4) + (8 - 7) + -4.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 2*p**2 - 37*p - 1. Let g(q) = -12*q**2 + 221*q + 3. Calculate 3*g(k) + 19*t(k).\nAnswer: 2*k**2 - 40*k - 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -q - 8. Let a be y(-11). Suppose -7 + a = -2*g. Solve 4*p + 7 + 7 = g*j, 2*p = -j - 9 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1 - (2 + -5))\/5. Which is the closest to 0? (a) m (b) -2\/11 (c) -1\/5 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -671 minus 0.98910928?\nAnswer: -671.98910928","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 6372 and 7026723?\nAnswer: 1593","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -284 - -569\/2. Which is the nearest to -2\/5? (a) 2 (b) z (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = g**2. Let o(h) be the second derivative of 7*h**4\/24 - 3*h**2\/2 - 4*h. Let l(w) be the first derivative of o(w). What is l(d(t))?\nAnswer: 7*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 95*-1*(1 + -2). Let a = 481\/5 - v. Factor 0*n**3 - 2\/5*n**4 + a*n**2 + 0 - 4\/5*n.\nAnswer: -2*n*(n - 1)**2*(n + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by 11884\nAnswer: -5\/11884","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1 + -1a1ec03b?\nAnswer: -1a1ec03c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 20580 a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 2702a (base 14) in base 2?\nAnswer: 10111011101001110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/(-36))\/((-26)\/5304).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1440707*k**4 - 27*k**3 - 433388*k**2 + 2*k - 2 wrt k?\nAnswer: -34576968*k - 162","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 197667 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1665998449.\nAnswer: 53, 31433933","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*j + 131*j**2 - 4*j - 52*j**2.\nAnswer: 79*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-2)\/(-2))\/(4\/8). Let d = x + 12. List the prime factors of d.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1452762004 to the power of 1\/2, to the nearest integer?\nAnswer: 38115","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -13 - 95*n + 105 - 94 - 2*n**2 to v*n**2 + b + r*n and give b.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 48, 81, 114?\nAnswer: 147","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2*5\/(-24) - (-26)\/(-78). Put 1, d, -5\/2, 0.1 in increasing order.\nAnswer: -5\/2, d, 0.1, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 14.9 + -332.9. Let n = -318.00074 - v. Round n to 5 dps.\nAnswer: -0.00074","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = x**3 + 3*x**2 - 66*x. Let h(i) = 2*i**2 + 75 - 772 - 67*i + 697. Determine 3*h(k) - 2*l(k).\nAnswer: -2*k**3 - 69*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -6*c - 53. Let q be y(-10). Solve q*u = 3*u - 20 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4087061 to the nearest integer?\nAnswer: 2022","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 182098445 and 955?\nAnswer: 955","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = -2*y + 389, 0*m - 2*y - 820 = -2*m. Calculate the least common multiple of m and 806.\nAnswer: 806","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 997624, 1995226, 2992822, 3990412?\nAnswer: 4987996","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 288*c*q*s*w**2 + 2*c*q - 4*c*s**2*w**2 + c*s*w - q*s**2*w**2 - 7*s**2*w**2 + 12*s*w**2 - w**2 wrt q?\nAnswer: 288*c*s*w**2 + 2*c - s**2*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:43 PM and 6:17 PM?\nAnswer: 274","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-123)\/(-205)*5\/6. Which is the third biggest value? (a) -1 (b) v (c) 29\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + (1 - (-1 - 1 - (-43 - -22))).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16 = 2*n + 5*t - 3, 3*n = 5*t - 7 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 509072 * -2.\nAnswer: -1018144","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-1\/16)*p\/p**17)\/(p**(-1\/21)*p*p**2\/p) assuming p is positive.\nAnswer: p**(-6053\/336)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 1 u when two letters picked without replacement from iuusjuuuiusu.\nAnswer: 7\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 60, 187, 388, 663, 1012, 1435, 1932?\n\"Answer: 37*s**2 + 16*s + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -45*r**2. Let j(t) = -27*t. What is s(j(n))?\nAnswer: -32805*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 234 (base 16) to base 15.\nAnswer: 279","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -5*h**6 + 1112*h**5 + 6*h**2 - h + 1482 wrt h.\nAnswer: -600*h**3 + 66720*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 0 - 42803?\nAnswer: -42803","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d - r = 65608, 3*d - 46*r + 42*r + 65618 = 0. Round d to the nearest one hundred.\nAnswer: -21900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -37*h. Let k(z) be the second derivative of -z**4\/12 + 13*z. Determine k(y(q)).\nAnswer: -1369*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 48\/5 of a century?\nAnswer: 11520","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0.6 times -4.4\nAnswer: -2.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 3*w - 4. Let t be u(3). Suppose -3*n + j = -5 + 10, -t*n - 2*j = -10. Suppose n = 5*q - 58 - 57. Does 11 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3 is divided by 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is k in -2*k**5\/7 - 338*k**4\/7 + 7296*k**3\/7 - 49256*k**2\/7 + 120448*k\/7 - 13824 = 0?\nAnswer: -189, 2, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 2*v - 9. Let m be f(7). Let y = 6 + -19. Let q = 23 + y. Solve 5*k + q = 5*n, m*n = 4*k + 19 - 7 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 - -891 - (5 - 7) - 3 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -22.66 (b) 1\/8 (c) 1\/7 (d) 2\/19 (e) -0.4 (f) -4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.6 - 7.6. Let i = d + 6.7. What is the second smallest value in -5, -3, i?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -3383652 or -3383724?\nAnswer: -3383652","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) be the second derivative of 199*g**6\/10 - 205*g**4\/12 - 863*g. What is the third derivative of z(d) wrt d?\nAnswer: 14328*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(7) + 4 + sqrt(7))*3 + 1.\nAnswer: 13 + 6*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 43 to the power of 1\/6, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*n**2*x**3 + 195*n**2 - 39*n*x**4 - 309*x**2 - 93*x wrt x?\nAnswer: 12*n**2*x - 468*n*x**2 - 618","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 355, 1403, 3149, 5593?\n\"Answer: 349*q**2 + q + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 3348*v + 3814*v - 2967*v + 4437*v as p + a*v and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is seven halves of a milligram in micrograms?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 104 and 96.\nAnswer: 1248","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11 + (-12 - -12) + -6 + 0.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 480028073 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b = 2*r - 2*b - 11, -3*r + 19 = -4*b. Solve 3*v - 5*i + r + 4 = 0, -3*i - 5 = 2*v for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -6 + 11. Let m(p) = 2*p**2 + 3*p + 1. What is the smallest common multiple of m(-3) and 12\/c*(-10)\/(-3)?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 15*26\/65 + 89\/(-15). Let c(y) be the third derivative of 0*y**4 + 32*y**2 + 0*y**3 + 0 + x*y**6 + 0*y + 1\/6*y**5 - 1\/105*y**7. Factor c(q).\nAnswer: -2*q**2*(q - 5)*(q + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -59 + 63. Suppose -10 = 5*z - 0, y + 18 = -l*z. Let o be (2*(-2)\/y)\/((-3)\/(-15)). Solve m + 3*m - o*t + 26 = 0, 0 = -m - t - 2 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.678 - -1.258. Is b less than or equal to -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*h - 4*h + 2 = -2*x, x + 1 = 0. Solve 0 = -5*l + 5*g + 15, -l + h*l - 3*g + 7 = 0 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 315 and 29215?\nAnswer: 1840545","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 169680 and 31080?\nAnswer: 840","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -l**3 + l**2 + l + 1. Let f(t) = -3*t**3 - 7*t**2 - 2*t - 2. Let h be ((-4)\/12)\/(2 + (-45)\/27). Give h*f(d) - 2*v(d).\nAnswer: 5*d**3 + 5*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 696792, 696791, 696798, 696819, 696860, 696927, 697026, 697163?\n\"Answer: r**3 - 2*r**2 - 2*r + 696795","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 minutes before 1:43 AM?\nAnswer: 1:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 12\/(-15) - -63*(-48)\/(-180). Let c(j) = j**3 - 16*j**2 + j + 6. Calculate c(n).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 4*n**4 - 24. Let j(p) = p + p**4 + 48 + 3*p**4 + p**2 - 73. Let g(y) = 2*j(y) - 3*o(y). What is the second derivative of g(c) wrt c?\nAnswer: -48*c**2 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*g**3 + 51705*g**2 - 2074200*g + 20762000.\nAnswer: 5*(g - 20)**2*(g + 10381)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 12036114793 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -65 or -71?\nAnswer: -71","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = t**3 - 3*t**2 + 1. Let i be q(2). Let k be (98\/(-3))\/(1\/i). Let j be ((-42)\/8)\/(9\/(-24)). Calculate the greatest common factor of k and j.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 169, -8, -4, 3\/2 in increasing order.\nAnswer: -8, -4, -3, 3\/2, 169","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = c + 79 - 8. Let w = 79 + c. What is the greatest common divisor of 6 and w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = g**2 - 10*g + 27. Calculate the remainder when 113 is divided by x(7).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -843.54 - 160.\nAnswer: -1003.54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express -3 + 0 + 4*l - 6*l**3 - 185*l**4 + 183*l**4 as k*l**4 + o*l + x*l**3 + i + m*l**2 and give o.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1860 - -1856. Let n = 5 - 12. Which is the nearest to 2? (a) n (b) 1\/6 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 683*c**4 + 61*c**2 + 3*c - 295366 with respect to c.\nAnswer: 2732*c**3 + 122*c + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 48*d*s + 66*s wrt d.\nAnswer: 48*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 255 minutes after 2:15 AM?\nAnswer: 6:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 333818 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 145?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 79095854?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 331061 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1731401163 - 1731401326.9999873. Let p = -164 - a. Round p to six dps.\nAnswer: -0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or 1\/420535563?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 72 and 50076.\nAnswer: 100152","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*w + v - 10 - 0, 0 = -5*w - v + 14. Solve -14 = -3*y - 5*o, 14 = -3*y + w*o - 0*o for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -11 - -5. Calculate the common denominator of -15\/7 and ((-35)\/f)\/7 - -2.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 9 = 2*w + 16, -4*c + 37 = -5*w. Suppose 0*q = c*q - 33897. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 81 = 4*p + 9. Suppose -15*v + p*v = 6. Suppose 42 = 5*d - v*z, -24 = -4*d + 4*z + 12. What is the remainder when 55 is divided by d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:08 AM and 8:13 AM?\nAnswer: 485","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*((2*sqrt(3))**2 + sqrt(3) + -4) - 3*sqrt(162)\/sqrt(6).\nAnswer: -3*sqrt(3) + 48","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 e when four letters picked without replacement from eeeeeee?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -9068884*n + 11135666.\nAnswer: -9068884","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 225 = -18*o + 261. Solve 5 = p - m, o*p + 6 - 21 = 3*m for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 316 is divided by 70*(45\/(-10))\/((-120)\/56).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -83*b**4 - 78*b**2 + 3?\nAnswer: -1992*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xx when two letters picked without replacement from {u: 17, x: 2}?\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 385 - 385. Determine i, given that -44\/7*i**2 + r - 12\/7*i**5 - 8\/7*i - 52\/7*i**4 - 76\/7*i**3 = 0.\nAnswer: -2, -1, -1\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) be the first derivative of -5*f**4\/2 + 51*f - 51. What is the derivative of z(c) wrt c?\nAnswer: -30*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -19*c - 28*c + 17*c - 9*c + 15*c + 11*c + 0*c - 3*c + 2*c + (-1 + 7 - 2)*(-4*c - 2*c + 5*c) to the form j + t*c and give t.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 14916986*v**3*z**3 - 7106274*v**2*z**3 wrt v?\nAnswer: 89501916*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 443, 139, 7 in increasing order.\nAnswer: 7, 139, 443","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 7*v**2 - 36*v - 70. What is the least common multiple of 1374 and u(-2)?\nAnswer: 6870","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w when two letters picked without replacement from zzwwdwzzzwz?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m - z - 28 = -83, 0 = -5*m + 4*z + 86. Let b(d) = 2*d**3 - 44*d**2 + 240*d + 14. Calculate the least common multiple of m and b(12).\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.2 (b) -2 (c) -701830\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 186\/(-7) - ((-276)\/42 + 7). Let h be 396\/p*9\/(-6). Calculate the greatest common divisor of 396 and h.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.128 * 12860.\nAnswer: 14506.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + 2*w**3)*(-w + 2*w + 0*w) + 1 + 724*w**4 + 0 - 718*w**4.\nAnswer: 8*w**4 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (14*a**4 - 20*a**4 - 6*a**4)*(10 + 0 - 6).\nAnswer: -48*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -30344.8 to the nearest one hundred.\nAnswer: -30300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t = -4*f - 6, 2*f + 6 = -826*t + 822*t - 2 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 150594241.\nAnswer: 7, 21513463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = s**2 + 2*s - 79. Let t be q(-11). What is the highest common divisor of t and 50?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -1360, -1538, -1702, -1846, -1964, -2050, -2098?\n\"Answer: y**3 + y**2 - 188*y - 1174","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1 + 4f81cbc?\nAnswer: 4f81cbd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = -4*f + 8*f. Let s(q) = -30*q - 660. Let k be s(-22). Solve 11*m - 7*m + f = k for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 786 - 394 - 398 + 249*j**2 to h*j + z*j**2 + m and give z.\nAnswer: 249","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4 + -2. Let f be b\/7 - (-19)\/7. Suppose -f*w = 3*x, -2*w = 2*w + 2*x - 10. List the prime factors of w.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5039 times -1?\nAnswer: 0.5039","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 6 + (-355)\/60 + 3542\/(-16008)\nAnswer: -4\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2\/(1*2\/(-3)). What is the remainder when 2\/j - (-448)\/6 is divided by 25?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find t such that 2*t**3\/9 - 394*t**2\/9 + 19600*t\/9 - 19208\/9 = 0.\nAnswer: 1, 98","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25 + 39 = -8*r + 22 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 0.026 * 13\nAnswer: 0.338","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.8 + 5.8. Suppose 0*i - 3*n = 2*i + 3, -2*n - 6 = 0. Let k be (i\/(-9))\/(2\/3). What is the fourth biggest value in 2, -1, k, s?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 63403 is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -3500400.5 to the nearest 100000.\nAnswer: -3500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 22727822483 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide -32 by 224.\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27*x + 0*x - 35*x.\nAnswer: -62*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 v and 1 j when four letters picked without replacement from jjvjjjjvjjvjvj.\nAnswer: 40\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2\/37 (b) 0.2 (c) 5 (d) -9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 66 and 84985648?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -63*m - 1382. Let b be n(-22). Let y(z) be the first derivative of -19 + 4\/3*z**3 - b*z + 15\/2*z**2. Factor y(w).\nAnswer: (w + 4)*(4*w - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*-2*sqrt(625))\/(sqrt(20)*2*-1))**2.\nAnswer: 125\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (5\/25)\/((-4)\/(-60)). Suppose -4*c + 2 = -x*c. Factor -3\/4*i**c + 1 + i + 1\/4*i**4 - 1\/2*i**3.\nAnswer: (i - 2)**2*(i + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -138 = 6*h - 9*h. Let b = h + -26. Let l(f) = -15*f + 20 - b. Give l(-1).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d + 5*i - 50 = 0, -37 = -4*d + d + 4*i. Suppose -9*o = -d*o + 8. What are the prime factors of 8\/((o\/7)\/2)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35 = 4*n - 353. What is the remainder when n is divided by 4 - -15 - (0 - 1)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c - a + 13 = 10, 5*a + 5 = 5*c. Let v be c + (3 - 1\/(-1)). Solve r = 3*h - 2, v*r - h + 5 = -19 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*1*sqrt(11) - (sqrt(44) + 0)) + 0.\nAnswer: -3*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*b**2 + 11364*b - 3120060.\nAnswer: -3*(b - 3490)*(b - 298)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 63190.\nAnswer: 2, 5, 71, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 7795*m**2 - 376*m - 1852. Is c(-5) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 286 and 1.\nAnswer: 286","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -40 - -39.87. Let t = 0.33 + m. Let s = 0.088 + 1.912. Which is the fourth biggest value? (a) -4 (b) s (c) t (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*t**4 - 19184*t**2 + 19184*t**2 + 0*t**4 - 1 - 325*t**3 to l*t**4 + g*t + v*t**2 + k*t**3 + b and give k.\nAnswer: -325","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.68 and 4671730.28.\nAnswer: 4671730.96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -20, -13, 26, 8, -19 in descending order.\nAnswer: 26, 8, -13, -19, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 + 4 = -u - 2*r, -5*u + 4*r = -15. Suppose -u*x + 13 + 56 = 3*g, -2*g + 84 = 4*x. Calculate the highest common factor of 38 and x.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c - r + 85 = 0, 0*r = 4*c + 5*r - 95. Let i be (-12)\/c - 24\/(-10). Suppose 4*l + 0*a - i*a - 36 = 0, -12 = -4*l - 4*a. Solve 0 = l*y - 3*y - 8 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 595912 (base 12) in base 4?\nAnswer: 11133233132","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -3*a**2 - a**3 + 3*a + 2*a**3 - 1 + 2*a**2. Suppose -5*z = 4*s + 6, -4*s = s + 20. What is the units digit of w(z)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r + 9 - 29 = 0. Which is the nearest to 11? (a) 3 (b) -2 (c) r (d) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 467936281 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(-2\/9)\/(w*w**(2\/5)))\/((w\/(w\/(w\/(w\/(w*w**(-4))))))\/w**(4\/3)))**(-16\/3) assuming w is positive.\nAnswer: w**(-1952\/135)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) be the first derivative of -31 - 6*h**2 + 38\/3*h**3 + 0*h. Find the second derivative of r(a) wrt a.\nAnswer: 76","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (10\/(-4) + 2)*8\/18?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 51775277 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 < 191883\/22?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a\/((a*a\/a**(-15)*a)\/a*a)*a\/(a\/a**(-9))*a*a**(-2\/11)*a*a**3\/a*a*a assuming a is positive.\nAnswer: a**(-222\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 2*v**2 - 5*v - 108. What is the tens digit of p(-11)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12*20\nAnswer: 240","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 9*b**2*d**2*q + 2*b**2*d*q + 539*b**2*q**3 - b*d**2*q**3 - 2*b*d + 3*d**2*q**2 - 739*d*q**3 wrt b?\nAnswer: 18*d**2*q + 4*d*q + 1078*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/50*(-254)\/((-18542)\/(-1095))\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ccccofcfcc. What is prob of picking 3 c?\nAnswer: 7\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 320*y + 4 - 321*y - 4.\nAnswer: -y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -j**2 - 5*j + 6. Let o = -20 - -29. Let y(w) = -w**2 + 13*w - 12. Let s be y(6). Let t be 4\/((s\/o)\/(-5)). What is m(t)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 72 and 486.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -24 - -19. Which is the second smallest value? (a) -14 (b) k (c) -3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-561)\/(-55)*2\/36*7 and 133\/30.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 6 - 6. Let h be (1 + f + 1)\/3. Let p be (-1)\/(5\/(-2)) + -1. Which is the nearest to h? (a) -2\/9 (b) 0 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 3\/2*20\/495*-3. Let s be 10 - 1 - 3 - 0. Suppose 5 = -j, 5*j + 20 + s = -y. What is the third smallest value in -4, m, y?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10 + 68 + 15*g**2 + 5.\nAnswer: 15*g**2 + 83","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 60 is divided by 13?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*x**2 - 9*x**3 + 7*x**3 + 0*x**2 + 35*x**3.\nAnswer: 33*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -1 - 5 - 5 + 2 + 16*d. List the prime factors of c(3).\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -1, 0, -470 in increasing order.\nAnswer: -470, -1, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*p**3\/7 + 136*p**2\/7 - 592*p\/7 + 608\/7 = 0. What is p?\nAnswer: -38, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 9123275 rounded to the nearest 100000?\nAnswer: 9100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -1590 divided by 2\nAnswer: -795","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 29385 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3\/26? (a) -3\/4 (b) 0.3 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -369 - 0.31.\nAnswer: -369.31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 7*f**2 - f**3 - 2 + 6 + f - 4*f**2 + 3*f. Let t be (6\/(-5))\/(-7 - 67\/(-10)). What is the units digit of v(t)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 4, -2, 2, -2\/7, -15.176, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2098*g + 4295 = -5183*g - 1875 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 5\/4 of a centimeter?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -16 + 16.15. Let s = y - -2.35. Let q = s + 1.5. Which is the second smallest value? (a) -0.06 (b) q (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 35 = 3*f + 12, -t + f - 1 = 0. Suppose 3*v + 3*q = q + 14, t = 4*q. Suppose v*o + 78 = 186. What is the remainder when 50 is divided by o?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 25 and 50?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 680 minutes before 12:19 AM?\nAnswer: 12:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 390?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.04, -13, -3 in decreasing order.\nAnswer: 0.04, -3, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13462 is divided by 1130.\nAnswer: 1032","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -25 - -31. Let w(t) = -t + 1. Determine w(b).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -3*w + 3. Let j(l) = -6885*l. Calculate j(p(n)).\nAnswer: 20655*n - 20655","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(-4 + (sqrt(468)*-1*-1 - sqrt(468)))*-1.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 3.699598 years?\nAnswer: 0.3699598","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000003425503 to seven decimal places.\nAnswer: -0.0000034","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/23 in -1, 55\/6, -0.2, -5?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f = -3*a, -a - 2*f - 1 = -5. Let s(g) be the first derivative of g**2\/2 + 7*g - 3. Let u be s(-6). Sort u, 5, a.\nAnswer: a, u, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 23301533 - -655?\nAnswer: 23302521","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**7\/(((k\/k**(1\/2))\/k)\/k))**(-12) assuming k is positive.\nAnswer: k**(-102)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5418)\/(-4410) - 20\/14?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-18)\/(-24))\/(9\/24). Let z be (-4)\/(-3)*(3\/h + 3). Suppose 64 = z*q + 2*q. List the prime factors of q.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine s so that 3*s**5 - 141*s**4 - 3387*s**3 + 185325*s**2 + 945000*s - 60750000 = 0.\nAnswer: -25, 25, 36","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -94*n**3 - n - 16 + 11 + 96*n**3 - 4*n. Let d(s) = -s**3 + s + 1. Determine -10*d(k) - 2*g(k).\nAnswer: 6*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 h and 1 i when four letters picked without replacement from ellidilddidhhihl.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 38668442 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 3108?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**2*g)**37)**(3\/43)\/((g**(-1\/4)\/g)\/(g**(-3\/2)*g)*g\/(g\/g**(-6\/11)*g)*(g*g**7*g)\/g*g) assuming g is positive.\nAnswer: g**(1967\/1892)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/16 in -69, 3, -3\/7?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 25*y. Let x(f) = 343*f + 351*f + 360*f - 1040*f. Give p(x(v)).\nAnswer: 350*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 47 and 36?\nAnswer: 1692","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*g**2 + 43*g - 43*g)*(-12*g - 47*g - 333*g).\nAnswer: -2744*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -98, -389, -874, -1553, -2426, -3493, -4754?\n\"Answer: -97*c**2 - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 86842632 to the nearest integer?\nAnswer: 443","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 32\/13, 0.4, 1\/8, 4?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = d**2 - 8*d + 3. Let k be l(7). Let v be k\/4 - (-18)\/22. Let n = -2130 - -4259\/2. Which is the closest to 2\/3? (a) n (b) -9\/5 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 88\/(-132) - 4\/(-6). Let m(l) = -l**3 - 5*l**2 - 1. Let n be m(-5). Let g be 9 - (2 - (n + 4)). Solve 5*i + 10 = -2*j, v*i - 2*j = -5*i - g for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 2*g = 5*g - 4, -z - 2*g = -16. Solve 2*k - 8*v + 3*v - z = 0, -2*k + v = 0 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 > -1\/83790?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8655366 hours in days?\nAnswer: 0.036064025","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1665289?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*p**4 - 445780*p**3 - 27*p**2 + 469430?\nAnswer: -72*p - 2674680","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 3712*p + 911. Is l(26) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 25787.5 to the nearest 100.\nAnswer: 25800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8)\/(-20) - 96*(-40)\/(-10800).\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11463 is divided by 1140.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -5078, -5083, -5088, -5093, -5098?\n\"Answer: -5*s - 5073","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1\/8, 4\/13, -258295, -5\/3?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1635*a**2 - 182*a + 2.\nAnswer: 3270","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 148\/64 + (-8)\/(-2) and -35\/106.\nAnswer: 848","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v = -5*f + 5*v + 9, 3*f - 5*v + 1 = 0. Solve -3*c + 2*c - f = 0 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -21, -36, -47, -54?\nAnswer: -57","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -2*o**3 - 6*o**2 + 5*o + 9. Let u be m(-6). Suppose x - 6*x - u = -2*s, -3*s + 4*x = -310. Does 11 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -1 (b) -246 (c) -0.2 (d) -309 (e) 2\/3 (f) -2\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1708413 or 1708427?\nAnswer: 1708413","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**25\/(i**11*i))\/(i**(-25))**(-3\/5) assuming i is positive.\nAnswer: i**(-2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -260, -263, -266, -269, -272?\nAnswer: -275","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -30\/181 or -1?\nAnswer: -30\/181","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 493 or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5 + -1. Suppose -n*f + 5 - 1 = 4*m, -1 = 5*f - m. Let s(g) be the third derivative of -g**5\/60 - g**4\/24 + 2*g**2. Calculate s(f).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -6*b**2 + 21*b + 98 - 4*b**2 + 5*b**3 - 2*b**2 + 2*b**3 - 6*b**3.\nAnswer: (b - 7)**2*(b + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -397*y + 641*y + 244 = 0 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 (base 16) in base 3?\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t + 4*i + 35 = 5*t, -2*t - 10 = 4*i for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*j + 6*p + 66810 = 66811, 0 = -5*j + 5*p + 45 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 573 (b) 0.2 (c) 63 (d) 0 (e) -41 (f) 5\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -5*b + 1 + 2*b**2 + 12*b**2 + 0. Let a = 6354 - 6352. What is the remainder when 279 is divided by f(a)?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -34894 + 50444. Does 171 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -765*t**2 - 225*t + 12 wrt t?\nAnswer: -1530","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/(-2)*((-12)\/(-18) + 0)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 315241019, 630482039, 945723059, 1260964079, 1576205099, 1891446119?\n\"Answer: 315241020*q - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + 5*((sqrt(216)\/sqrt(192))**2 + sqrt(18)*-1 + sqrt(18) + 2).\nAnswer: 157\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 22017710?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5132?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 + 0 + 3*l**4 + (-l**2 - 5*l**2 + 2*l**2)*(272*l - 8*l**2 - 272*l) + 2*l**4 + l**4 - 5*l**4.\nAnswer: 33*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 minus 32?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2066*s**6 - 2442*s**2 - s.\nAnswer: -247920*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 3, b: 1, v: 2, r: 4, m: 7}. Give prob of sequence wb.\nAnswer: 3\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 - 2 = g, -g = -2*s + 6 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(24)\/((-4*sqrt(40))\/sqrt(5) - sqrt(8)).\nAnswer: -sqrt(3)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 16\/9 of a week?\nAnswer: 17920","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -24618 - -40455. What are the prime factors of k?\nAnswer: 3, 5279","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 200 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -f**2 - 119*f - 934. What is the lowest common multiple of 12 and u(-78)?\nAnswer: 6792","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-6)\/(-27) - (2 - (-318)\/(-27)). Let s(i) = i + 0*i - y*i. Let o(x) = -4*x. What is o(s(r))?\nAnswer: 36*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -140713 - 12\nAnswer: -140725","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*k - 2001818 = 3*i, -11*k + 3*i - 800744 = -15*k. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -s - 2. Let t be i(-7). Suppose 5*w - t = 2*f - 0*f, 0 = 2*w - 3*f - 2. Let d be (1 + -3)*(-2 + w). Which is smaller: 0 or d?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 300*c**3*r**3 - c**3*r**2 - 212*c - r**3 wrt c.\nAnswer: 1800*c*r**3 - 6*c*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g - 38*u = -34*u - 38, -4*g = 5*u - 52. What is the remainder when 155 is divided by g?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5 - 0) + (-5 - -5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 21 + -21. Suppose 0*h - p = 5*h - 5249997, 4*h - 2*p - 4200006 = x. Round h to the nearest one hundred thousand.\nAnswer: 1100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21*(-1)\/(-6)*26?\nAnswer: 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 96605120?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 3*d - 67 = 0, -m + 73 = d - 2*d. Is 14 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 272204077?\nAnswer: 149, 1826873","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 620 minutes after 12:44 AM?\nAnswer: 11:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 17 - -2. Suppose 0 = 19*g + g - 100. Sort q, 2\/19, 2\/5, g in decreasing order.\nAnswer: q, g, 2\/5, 2\/19","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 4*q - 15 = -q, 0 = -3*o + 5*q - 7. Suppose -y = -o + 2. Solve -2*b + 5*b - y*p + 11 = 0, 4*p + 29 = -5*b for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p = 4*h - 2*h - 97, 236 = 4*h - 4*p. What is the remainder when 236 is divided by h?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1165801 millennia in months?\nAnswer: 1398.9612","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*t + 28*t**2 + 9*t - 17*t as k*t**2 + p*t + q and give k.\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g = -5*l - 10, 5*g + 4 = -0*l - 2*l for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g + 4*o = -56, -3*o = 12463*g - 12461*g - 3 for g.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 6\/(-21) - (-783)\/21. Suppose h + 5*q - 12 = q, 4*h + 5*q - w = 0. Solve h*a**3 + 4*a**3 - a**2 - 16*a**3 + 4*a**5 + a**4 = 0.\nAnswer: -1, -1\/4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in 1\/10, 1.4, -2?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 13650\/(-1183)*17\/(425\/(-10))\nAnswer: 60\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -289 minus -4038048581?\nAnswer: 4038048292","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 528, 2132, 4804, 8544, 13352?\nAnswer: 19228","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1726 = -357*z + 1006 + 5004 for z.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 54977 (base 12) to base 6.\nAnswer: 2222231","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -4*p + 14. Let k be f(1). Is (-28588)\/(-14)*(k\/4 - 1) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*i = 10*i + 162. Suppose i*q - 10 = 22*q. Solve -3 + q = 2*b + n, 3*n - 3 = 0 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1138, 9198, 31070, 73660, 143874, 248618, 394798, 589320?\nAnswer: 839090","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(360)\/(sqrt(60)\/sqrt(5)))\/((sqrt(90)\/sqrt(3))\/sqrt(5)) - (-3 + (sqrt(60)\/(sqrt(60)\/sqrt(5)) - -4*(2 + sqrt(5)))))**2.\nAnswer: 40*sqrt(5) + 105","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(-5)\/p**(1\/2))\/(p**(1\/4))**(8\/13))\/((p**(3\/4)*p)\/(p\/(p\/p**(-2\/9)))*(p\/(p\/(p\/(p\/(((p**(-1)*p)\/p*p)\/p)*p))))**45) assuming p is positive.\nAnswer: p**(38551\/468)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 812597.2 rounded to the nearest 10000?\nAnswer: 810000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/(-4))\/((-56)\/(-432)*(-75)\/(-700))?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) be the third derivative of -i**6\/24 - 3*i**5\/20 + 7*i**4\/24 + i**3\/2 - 8*i**2. Let q be m(-10). Suppose q - 85033 = 3*k. Round k to the nearest 10000.\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2212 - 282. Does 13 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -11*g + 17. Let m be x(2). Sort m, -1, -3 in decreasing order.\nAnswer: -1, -3, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*m - 11 = 26*m + 5*t, -5 = -5*t for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 36\/(-120)*6\/(972\/(-225))*(-24)\/60.\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 (base 5) in base 15?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -q**2 - 71*q + 659. What is t(11)?\nAnswer: -243","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.194 + -0.294. Which is the closest to 7? (a) -2 (b) x (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - 4*v = -3315, -2*v + 3*v = 2*q - 6594. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2443875 and 261?\nAnswer: 212617125","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-27)\/45)\/((-6)\/20). Suppose 2*p + 0*p = 2*l + 74, -r*p = -5*l - 89. Is p a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*t - 289 = -279 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*a**2 + 2*a**2 + 5*a + 3*a - 8*a.\nAnswer: 8*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 3*z - 105 = -k, -k = -5*z - 39. Let q = k + -20. Suppose -16 = -q*c, 71 = 5*b + 5*c - c. What is the tens digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 6\/(-2) - (-2)\/(-2). Let l = z + 6. Calculate the least common multiple of l and (4\/3)\/(2\/3).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 111573?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide -61230 by -2.\nAnswer: 30615","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -9*n*q**2 + 5*n - q**2 + 1 wrt q?\nAnswer: -18*n*q - 2*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) be the third derivative of -109*u**5\/20 + 649*u**3\/6 - u**2 - 102*u. What is the derivative of b(g) wrt g?\nAnswer: -654*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence evh when three letters picked without replacement from {h: 1, p: 7, z: 3, e: 4, v: 2}?\nAnswer: 1\/510","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -58 - -104. Solve 16 = 5*a - 5*h + u, -4*a - 29 = -5*h for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 142 + -97. Let b = a + -83. Let g be 2\/7 - b\/14. Solve 0*i + g = i for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 3*h + 21. Let w be b(-4). Suppose -4*u = 3*k - 23, -5*u + w = -2*u + 5*k. What is the highest common factor of u and 56?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29*i = 3*w - 2709, 3648*w - 287 = 3646*w - 3*i for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 49477 to the nearest integer?\nAnswer: 222","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(187)*1 - sqrt(187))\/(sqrt(11) - (sqrt(132) + 3*sqrt(132) - sqrt(132))\/sqrt(12)).\nAnswer: -sqrt(17)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.03 + -0.13. Let g = -0.04 + v. Let i = -2 + 0. Sort i, g, 1.\nAnswer: i, g, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14075 to the power of 1\/2, to the nearest integer?\nAnswer: 119","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 19008\/1760 + 12\/10. Solve -x + 0*x = 5*m + 14, 5*x = 4*m - b for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1961148 is divided by 4070.\nAnswer: 3478","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2130709*z**4 - 1805976?\nAnswer: -8522836*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (26\/(-455)*21)\/(33\/10).\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n + 12 = 0, -851 - 175 = 3*s - 4*n. Let y = 512 + s. Does 32 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 253857493 to the nearest integer?\nAnswer: 15933","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.1, -2\/15, 3, -2, 0 in ascending order.\nAnswer: -2, -2\/15, -0.1, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -20 + 0. Let u = 12 + v. Let w = 8.0004 + u. What is w rounded to four dps?\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 11*b**2 + 59*b + 280. Let s be c(-5). Is 260 bigger than s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 24 and 40968.\nAnswer: 40968","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5*u**2 - 59*u**2 + 12*u**2)*(0 + 0 + 1)*(3 - 3 - u)*(-1 + 1 - 2*u) to x*u + c*u**4 + i*u**2 + j*u**3 + d and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/7 + (3328\/350 - 10)?\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1\/6*n**5 + 266*n**2 + 277\/6*n**3 + 0 + 294*n - 19\/3*n**4.\nAnswer: n*(n - 21)**2*(n + 2)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 25649758*a**3 + a**2 - 20*a + 5673354?\nAnswer: 153898548","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 3\/25 of a milligram?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*u + 3 = -3*o - 24, 22*o = 17*u + 19*o + 99 for u.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 207*j - 227*j + 60. Let k(z) = 5*z - 12. Let a be k(5). Suppose 9 = 5*i - 3*l, -i - 3*l = -4 + a. Solve x - j*x + 2 = i for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or -58\/2060539?\nAnswer: -58\/2060539","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1\/1561 (b) 0 (c) -5 (d) 1\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10 + 25 + 5 - 155*c.\nAnswer: -155*c + 20","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + (-4*(0 + sqrt(17)) + sqrt(17) + sqrt(17) + (sqrt(1377) - sqrt(1377)*-1) - ((sqrt(272) - (sqrt(272) + -1)) + 0)))**2.\nAnswer: -160*sqrt(17) + 4377","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -4*x. Let f be (0 + 0 + 0)\/2. Let r(a) = f + 3 + 3 - 5. Let v(g) = g**2 - 5. Let p(c) = 5*r(c) + v(c). What is w(p(z))?\nAnswer: -4*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-266)\/65 + (15 + -13)\/((-8)\/(-16)). Which is the second biggest value? (a) -1 (b) s (c) 0.04\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -2\/47, 0, 0.03, -8\/11, -5?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 - (2 + -3) - (-1 + 2)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11221 - 220?\nAnswer: 11001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -18*s + 22*s - 12, -3*z + 183 = s. What is the remainder when z is divided by 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 107 divide 1572258?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -3 - (3 + (-52 - 5)). Let i = 53 - r. Suppose 2 + i = q. What is the remainder when 15 is divided by q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 201*b**2 - 46*b - 15. What is the thousands digit of t(9)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 61380, 61449, 61518, 61587, 61656, 61725?\nAnswer: 61794","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 311412 - 311410. Let v = -2 + 4. Solve 2*i - 4*k + 0 = 2, -v*i + 2*k = q for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -127843*57.6\nAnswer: -7363756.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = 2*q - 0*q + 12, 5*z - 4*q + 12 = 0. Suppose 3*y - 8*y + 65 = 0. Let u = y + z. Solve -u = w + 2*w for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 20956*i - 45. Is t(2) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -5*o + 17. Does 7 divide v(-5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 3, j: 6, v: 2, l: 4, s: 1}. Give prob of picking 2 j.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 5, q: 14}. What is prob of picking 4 q?\nAnswer: 1001\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + m + 0)*(2*m - 8*m - 7*m)*(-9 - 5 + 19 - 6282*m**2 - 5).\nAnswer: 81666*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) be the third derivative of -5*u**4\/12 + 45*u**3 - 102*u**2 - 2*u. What is the remainder when y(17) is divided by 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 178652726*m**2 - 1503982*m - 1.\nAnswer: 357305452","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -331 + 232 - (-1 - 9 - (-29 + 36)).\nAnswer: -82","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -35 + 39. Suppose -x - 3 = 5*y - 0*x, f*y + 4*x + 12 = 0. Suppose 659 = 5*j - y*d + d, 0 = -j - 2*d + 130. What is the tens digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u + 158 = 10*f + 9*f, 37*u = -3*f + 47*u + 44 for f.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 49 + -27. Let d = -21.9 + c. Sort -4\/15, d, -4.\nAnswer: -4, -4\/15, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 b when three letters picked without replacement from lkqlblllllkbblblal?\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide 31 by 1201.\nAnswer: 31\/1201","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve u + 4*d + 179 = 193, d = 2*u - 1 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fu when two letters picked without replacement from {a: 3, f: 2, u: 2, z: 2}.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 9120 and 75.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 22752427 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4687?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 1, j: 1, n: 1, q: 1, x: 1}. What is prob of sequence jz?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -3\/8 and -33\/239.\nAnswer: 1912","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-16)\/(-18) + -1)\/(166\/(-1494)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2917*w**3 + 2706*w**3 - 5182*w**3.\nAnswer: 441*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 7703 times 0.3\nAnswer: 2310.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 6*j - 7. Let c(f) = -f + 1. Let t(s) = a(s) + 5*c(s). Let v be t(3). Are 2\/7 and v equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -80, -681, -2314, -5495, -10740, -18565?\n\"Answer: -86*w**3 + w + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 121\/2128 and 37\/22642984?\nAnswer: 45285968","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 50249*q + 60176?\nAnswer: 50249","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 1\/231 and (4 - 9) + ((-38650)\/(-3885) - 5).\nAnswer: 8547","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (9 - (-1 + -4)) + -8.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 127805013 and 8114604?\nAnswer: 511220052","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2113124?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-15 + 31 - 23) + (0 + 5 - 6)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1131263?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -43 divided by 17\nAnswer: -43\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-61)\/(-20) + 77 + -76 and -139\/36.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5758 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -30*r + 239 + 41 - 490 - 508 - 3*r.\nAnswer: -33*r - 718","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 2, s: 7, u: 6}. What is prob of picking 1 c and 1 u?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-38 + c - 54 + 106)*(-4*c + 6 + 3*c - 5) to u*c + t*c**2 + j and give j.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*t = s + 4*s + 14, s + 10 = 3*t for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 18512 - 18520. What is the third smallest value in -5, -12, p?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 87679?\nAnswer: 87679","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -71228*g**3 + 35720*g**3 + 36061*g**3.\nAnswer: 553*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(16) - (sqrt(16) + -1*sqrt(96)\/sqrt(6)))\/(sqrt(8) + sqrt(8) + sqrt(96)\/(sqrt(12)*-4))*5 + 3)*-6.\nAnswer: -120*sqrt(2)\/7 - 18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.136 + -3.864. Let r = -1 + 4.5. Let b = r - 3. Sort b, g, 2 in increasing order.\nAnswer: g, b, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2824 and 1985.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:13 PM and 1:04 AM?\nAnswer: 231","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 102275, 409121, 920537, 1636523, 2557079, 3682205, 5011901?\nAnswer: 6546167","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 120 - 62*y**2 - 47*y**2 + 149*y**2 - 41*y**2.\nAnswer: -y**2 + 120","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -185551020*i**3 - 3449872*i**2 - 9*i wrt i.\nAnswer: -1113306120","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -235304149.7 to the nearest 100000.\nAnswer: -235300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -3 + 2 - 1*-4. Suppose g = 5*d - 17. Let m(h) = -h**2 + 3*h + 4. Give m(d).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 14\/(-20)*(-14)\/6. Let t = l - 11\/6. What is the nearest to -0.2 in t, -0.3, 0?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -1076, -2694, -4346, -6032?\n\"Answer: -17*q**2 - 1567*q + 508","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -486384.1 + -61.\nAnswer: -486445.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3608 and 78474?\nAnswer: 902","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -149 - -446\/3. Let r = 41.2 + -39. Is l > r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - 744351874?\nAnswer: -744351875","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/((n\/n**(-2))\/n*n))\/n*n**(-1\/12)*n**(-1\/2)\/(n\/(n*n*n**(-4)\/n)*n*n))**(-3) assuming n is positive.\nAnswer: n**(115\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 7*l + 3. Give o(-3).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24055 = -11*y + 37325. Suppose 2*t - y = -2*z + 48792, 4*z + 4 = 0. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 16*(-12)\/(-48) - 8.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8116 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.63 to two decimal places.\nAnswer: -0.63","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r = 11 - 1. Let m = 0.14 - 10.14. Let q = m + 5. What is the third biggest value in q, -0.2, r?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 4*f + 218910*f**2 + 8 + 6*f - 218911*f**2. Calculate t(6).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 13323*s**3 + 25*s**2 - s - 2 wrt s?\nAnswer: 79938","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 19*j**3 + 4*j**2 + 11*j - 72. What is the tens digit of m(6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 111 (base 2) to base 3.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 11*g - 8. Let i(a) = -13*a + 5. Let d(f) = 14*f - 5. Let x(s) = 6*d(s) + 7*i(s). Let o(k) = 5*t(k) + 8*x(k). Let c(w) = -10*w - 2. What is c(o(l))?\nAnswer: 10*l - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 3*z. Let x be ((-1413)\/2)\/((5\/(-2))\/5). Let u(j) = 708*j + 700*j - x*j. Give d(u(r)).\nAnswer: -15*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -57.367 and -0.7156?\nAnswer: 56.6514","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(-2\/7)\/u**(2\/3)*(u**(-1)\/u)**(2\/77) assuming u is positive.\nAnswer: u**(-232\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = t**2 - 4*t - 5. Let z(l) = 6*l**2 - 20*l - 25. Let a(q) = 5*k(q) - z(q). Let f(w) be the first derivative of 32*w**2 - 2. Determine f(a(m)).\nAnswer: -64*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 93740746?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 - 2 + 0)*(27 - 27 - 2*y) + 0 + 2*y + 0 + (2 - 4 + 0)*(21 + 8*y - 21) as o + z*y and give z.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 95 is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-20)\/100 - (-74)\/(-5). Let x = 15 + y. Let f(u) = -u**2 - u + 15. What are the prime factors of f(x)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-6081)\/(6\/5*(-10)\/4). Let d(y) = -y**3 - 4*y**2 + 3. Let o be d(-4). Let i(p) = -g*p**3 - 7*p**2 + 2026*p**o + 2 - 3*p - p. Calculate i(-6).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*d + d + 52. Suppose 3*j - 3*o - 223 = -j, 99 = 2*j + o. Let y = j - d. Calculate the common denominator of y and -16\/9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 13 - -111?\nAnswer: 130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 634 minutes before 1:46 PM?\nAnswer: 3:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 92 - (131 - 88) - 116?\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**4\/l**2)\/(l*l\/(l**(-2\/51)\/l)*l\/(l\/l**(4\/5))))**(25\/4) assuming l is positive.\nAnswer: l**(-2345\/204)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 4, r: 3}. Give prob of picking 1 b and 1 r.\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 30392*b**3 - 3*b**2 - 2100*b*x**2 + 250607363*x**2 wrt b.\nAnswer: 91176*b**2 - 6*b - 2100*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 3\/((84\/(-8))\/(-7)). Suppose 0 = -f*a + 643 + 63. Suppose -4*d + a + 1003 = 0. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 1252, 1253, 1254, 1255?\n\"Answer: p + 1251","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -7242 * -987\nAnswer: 7147854","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0, -2\/7, 1, 4, -2\/5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 + 5 = 84*v - 9. Suppose 4*m - 3*x - 57 = 0, 3*x + 42 = 6*m - 3*m. Solve f + 3*f + 30 = -5*o, v = 5*o - 5*f - m for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) be the third derivative of -1\/105*k**5 + 0*k**3 + 0*k**4 + 0*k + 5\/1176*k**8 + 3\/140*k**6 - 3*k**2 + 0 - 4\/245*k**7. Factor q(u).\nAnswer: 2*u**2*(u - 1)**2*(5*u - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ggqgqggggggggggggg. What is prob of sequence qqgg?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-57)\/3*(-7 + -5). Suppose -3*o + o + 128 = 4*h, -4*o - h = -k. Is 4 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -272\/7*x**2 - 2\/7*x**3 - 9514\/7*x - 17956\/7.\nAnswer: -2*(x + 2)*(x + 67)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 8 - 1 - 978*c - 4.\nAnswer: -978*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = q**3 - 6*q**2 - 10*q + 3. What is i(7)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38*r - 62 = 4*g + 41*r - 30 - 8, 3*g - 8*r - 23 = 0 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 50806 and 47614.\nAnswer: 9094274","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 0, -16, -40, -72, -112, -160, -216?\nAnswer: -280","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 82*j**2 - 26*j**2 + 93*j**2 + 58*j**2 + 9*j**2.\nAnswer: 216*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express 100*d**2 - 156*d**2 + 15*d**2 + 21*d**2 + 312*d in the form g + h*d + w*d**2 and give w.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -614 = 184*n - 5582 for n.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*h = -4*b + 19, 4*h = 5*b + 176 - 128 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -t**2 + 2*t - 2*t - 12*t**2 + 44*t - 44*t + 4*t**2 - 9*t**2 + 0*t**2 + 4 + 4*t**2 - 4 + (-4 + 1 + 4)*(t - t - t**2) to c*t**2 + j + w*t and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 27 - 86*s**2 + 1490*s**2 + 66 - 93 to r*s**2 + j*s + t and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-8)\/60*-843*5. Suppose 7*u - 2*u - o = -4*a, -3*u - 721 = -5*a. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dsssdddtsddmdm. Give prob of picking 2 m and 1 t.\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.5 (b) 0 (c) 71 (d) 12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) be the first derivative of -w**3 + 8. Let p(s) = -3*s**2. Calculate r(p(m)).\nAnswer: -27*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1\/148 - -65\/37. Which is the nearest to -0.1? (a) z (b) 2 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 27*g + 36*g - 58*g + 12. Let t(m) = -6*m - 13. Let z(b) = 5*s(b) + 4*t(b). Determine z(-6).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1.978 + -0.222. Let w = -11.9 + m. Round w to zero dps.\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h + 3*w = 14, 0 = -h + w - 3 + 1. Let o(m) = -7*m + 4. What is the remainder when h*-3*(-3 + -30) is divided by o(-3)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 39 + -16. Suppose 4*v = 3*v + s. List the prime factors of v.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve h - 3*r + 59 - 81 = 0, 0 = 4*h + 39*r + 371 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 0 - 121444?\nAnswer: -121444","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -15\/128 and 83\/96?\nAnswer: 384","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -980*g**3 + 119*g**2. Let v(h) = -49*h**3 + 6*h**2. What is 6*j(l) - 119*v(l)?\nAnswer: -49*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1703\/(-13) + (-2560)\/512.\nAnswer: -136","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4107 to the power of 1\/2, to the nearest integer?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express 3 + q**3 - 2*q**3 + q**3 - q**3 - 2*q**2 in the form z*q**3 + b + o*q**2 + r*q and give b.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((0 + -6 - -8)\/(-1))\/1. What is the smallest value in -1, s, -7, -4?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -0.07, 1136, 0.3, 3, 6, -0.1?\nAnswer: 1136","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d when two letters picked without replacement from dvd.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -y**3 + 2*y**2 + 3*y + 3. Let l be (4 - 4)*1 - -1. Let g be (l*-4)\/((-3)\/24). Suppose -8 = -5*d - 3*t, -3*t = -2*d - 3*d + g. What is o(d)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f*f**(5\/4))**(-5)\/(f**2*f**(2\/29)\/f*f) assuming f is positive.\nAnswer: f**(-2125\/116)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 57 (base 8) to base 14\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1332323 to the power of 1\/5, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -9 + 8.6. Let u = -1.4 - b. Put -0.2, u, 0.4 in increasing order.\nAnswer: u, -0.2, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1347*x - 1337*x + 100 = 0 for x.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 2040322 (base 5) to base 8\nAnswer: 102055","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*b**3 + 845*b**2 + 7020*b + 10620.\nAnswer: -5*(b - 177)*(b + 2)*(b + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 238 minutes before 4:58 PM?\nAnswer: 1:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 642598 and 350508?\nAnswer: 3855588","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 54 - 54.1. Let m = 2.1 + -2. Let y = 2 + -2.2. Which is the closest to y? (a) o (b) -3\/7 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -t + 6*a - 49, 102 = 33*t - a + 831 + 100 for t.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 240 minutes after 10:41 AM?\nAnswer: 2:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 5 - 2. Let f be (5*1)\/(2 - b). Let w be 113\/19 + 17\/323. Let z(a) = -a + 1. Let y(s) = -s + 1. Give f*z(d) + w*y(d).\nAnswer: -d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -2.44 times 120\nAnswer: -292.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2668 and 4321.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -216168.921925 + 216322. Let v = w + -144.5780687. Let u = v + -8.5. What is u rounded to 6 dps?\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = 5*r - 23. Let g be -14*r - 6\/(-24)*4. Let v(z) = -z - 8. Let m(u) = -2*u - 17. Calculate g*v(j) + 6*m(j).\nAnswer: j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 16.898 + -0.098. Let o = i - 16.93. What is o rounded to one decimal place?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 59*o**3*w**3 - 6*o**3*w + 2*o**3 + 52*o*w**3 + 2250*o*w - w**3 wrt w?\nAnswer: 354*o**3*w + 312*o*w - 6*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = b**3 + 3*b**2 - 2. Let z(t) = -2*t**3 - 4*t**2 + 3. Let r be 34\/10 - 6\/15. Let p(f) = r*k(f) + 2*z(f). Factor p(m).\nAnswer: -m**2*(m - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 65285823*f**5 - 43023635*f?\nAnswer: 1305716460*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1360 and 80.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -4577057*b**2 - 8080983.\nAnswer: -9154114*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12461575?\nAnswer: 5, 7, 71209","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1 - -7870122?\nAnswer: 7870123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 549 minutes before 3:17 PM?\nAnswer: 6:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 39603192 to the power of 1\/9, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-2)*b*b)\/(b\/(b*b**(-3\/4))) assuming b is positive.\nAnswer: b**(-3\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 0*m = -20. Suppose 0 = -m*a + 3 - 7. Let d = -19 - -16. What is the third smallest value in 3, a, d?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 30 = 7*g - 3*g, 3*f = -4*g + 35. Suppose -f*m - 360 = 490. List the prime factors of (-6)\/(-8) + m\/(-8).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = m**3 + 8*m**2 + 6*m - 15. Give u(-7).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 1918, 2023, 2054, 1975, 1750, 1343, 718, -161?\n\"Answer: -6*y**3 - y**2 + 150*y + 1775","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 253080 divided by 15?\nAnswer: 16872","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -808, -3365, -7874, -14539, -23564, -35153?\nAnswer: -49510","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-54)\/(-10)*410\/246. Solve 0 = 17*u - c*u - 8 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -y + 1. Let n(d) = -d**2 - 3*d + 8. Let i(q) = 5*h(q) - n(q). Let j(s) = 4*s**2 + s**2 - 2*s**2 - 8 - 6*s. Let w(k) = 11*i(k) - 4*j(k). Factor w(x).\nAnswer: -(x - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jjjijjjjjjjijijjijjj. Give prob of picking 2 i.\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 3*15\/(-6)*(-2)\/(-3)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29*a - 34*a + 981 = 104*a for a.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1.79 + -2.79. What is the nearest to -5 in 2\/11, o, 2?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 5*l**3 - 2*l**2 + 4*l - 5. Let v(g) = g**3 + 3*g**2 + 6*g + 4. Let u be v(-3). Let j = 16 + u. What are the prime factors of a(j)?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 830?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13312 is divided by 3325?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 7820749393 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 40*z**3 - 7*z**2 + 5*z - 5. Let f(l) = 60*l**3 - 10*l**2 + 8*l - 8. Let k(g) = -5*f(g) + 8*o(g). Find the third derivative of k(c) wrt c.\nAnswer: 120","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26050945 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/4 equal to 992.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -52 - -34. Let j be (r\/4)\/((-1)\/2). Let v(f) = f**2 - 8*f. Let c be v(j). What is the greatest common divisor of c and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -3 - 222354?\nAnswer: -222401","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -3952872 divided by 4554?\nAnswer: -868","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 - ((-2 - 2) + 0) - -1?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 744?\nAnswer: 2, 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 0 - 131089501\nAnswer: -131089501","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -42*i + 90*i + 210*i.\nAnswer: 258*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + 7 + 11 + (444 - 519)?\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-5*((sqrt(96) - sqrt(96)*1) + sqrt(96) - sqrt(96)) - sqrt(96)) + sqrt(96))\/sqrt(4))\/((3*((sqrt(108) - 1*sqrt(108)) + sqrt(108)))\/sqrt(9)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 65 a factor of 130845?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/b**(-4))\/((b\/(b\/(b*b\/((b*b**(2\/7)*b)\/b*b))*b*b))\/b*b))**(-3\/20) assuming b is positive.\nAnswer: b**(-153\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 11086969763 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -12*n**2. Let z(h) = 23*h + 5. Let q(b) = 7*b + 8. Let i(r) = 6*r + 9. Let v(j) = 5*i(j) - 6*q(j). Let c(d) = 5*v(d) + 3*z(d). Give c(m(y)).\nAnswer: -108*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39*h = 11209 - 11287. Solve 7 = -3*u - h*a, 125*u - 130*u = -4*a - 25 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1155145021 at most 1155145021?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -21427, -85329, -191831, -340933, -532635, -766937, -1043839?\n\"Answer: -21300*k**2 - 2*k - 125","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l = -2*s + 22, -l + 2*l + 5*s - 1 = 0. Let r = 8 + l. Sort -4, r, 3 in decreasing order.\nAnswer: r, 3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uwwuvwwwv. Give prob of picking 2 u and 1 v.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 68 - ((-4)\/(-2) - 4) and 49?\nAnswer: 490","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = t + u + 7, 0 = -3*u - 15. Let w be 2\/1*(t + 11). Suppose -4*s = -20 - w. What is the smallest common multiple of 18 and s?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) be the third derivative of -11*u**4\/24 - u**2. Let b(z) be the first derivative of -5*z**2\/2 + 4325. Calculate b(y(m)).\nAnswer: 55*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) be the second derivative of -53*p**5\/5 + 55*p**3\/6 - p**2 + 587*p. Find the second derivative of a(m) wrt m.\nAnswer: -1272*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1297 + 1094 = b. Suppose -2*q = -5*q + b. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 233173 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7828*c + 7828*c - 16*c**2.\nAnswer: -16*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/5? (a) 2\/3 (b) -3 (c) -49 (d) 65\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -117*u - 466. Let d be r(-4). Let q(k) = -2*k + 3. Let b(h) = -h + 2. Determine d*q(c) - 5*b(c).\nAnswer: c - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8 - 53\/(26235\/3942)?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vnv when three letters picked without replacement from {n: 3, v: 2}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 29 + 8. Let z = 41 - a. Let d(i) = i**3 - i + 12. What is the lowest common multiple of z and d(0)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 567796 is divided by 1036.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 25\/5 + (-4 - -8) + 24\/(-4). Let y = 13 - 9. Sort q, y, 3\/8.\nAnswer: 3\/8, q, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -650 - -1280. Suppose n = 4*z + 3*z. Is z a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -21225.9 and -4.7?\nAnswer: 99761.73","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k**3\/7 - 417*k**2\/7 - 2211*k - 67335\/7 = 0 for k.\nAnswer: -67, -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 610644349 to the power of 1\/2, to the nearest integer?\nAnswer: 24711","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 7 and 7552?\nAnswer: 52864","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 543?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 18*s**3 + 8*s**2 - 6*s - 6. Let h(x) = 17*x**3 + 7*x**2 - 5*x - 5. Let a be (7 - 1) + -19 + 13 + 6. What is a*h(q) - 5*u(q)?\nAnswer: 12*q**3 + 2*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 801439 is divided by 251?\nAnswer: 247","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 12 - 9. Suppose 0*o - 12 = -y*o. List the prime factors of o.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.8 - 1.3. Let q be 4 + (-4 - 4\/14*-1). Let x = 0.054 - 1.054. Put x, q, p, 1\/4 in ascending order.\nAnswer: x, p, 1\/4, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = s**3 + 4*s**2 - 4*s + 2. Calculate the least common multiple of 72 and g(2).\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*v**2 + 42*v**2 - 111*v + 111*v.\nAnswer: 46*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15\/12*(-147)\/(-105).\nAnswer: 7\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 19*t - 41*t + 16*t + 161. Let i be j(26). Solve i*g - 3*g = 0 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d*(d\/d**(-1))\/d*d**(-1\/5))\/(d\/d**(2\/3))**(-3\/22))**(-10))**(-2\/11) assuming d is positive.\nAnswer: d**(406\/121)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 8 and -10122275?\nAnswer: -80978200","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.78 or 3?\nAnswer: -0.78","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15668 is divided by 2195?\nAnswer: 303","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*r = 9*r + 5394. Which is greater: -173 or r?\nAnswer: -173","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1968*t**3 + 657*t**3 - 2*t**2 + 653*t**3 + 2*t**2 + 655*t**3.\nAnswer: -3*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*a - 3*j = -5*a - 24, -65*a - 4*j + 4 = -67*a for a.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 145a - -5?\nAnswer: 145f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11362\/(-31122) - 2\/(-9) - 3*4\/210.\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1 - 1202102?\nAnswer: -1202103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10110 + -10011000?\nAnswer: -10101110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3500*i + 2954*i + 364979 - 73892 = 7111 for i.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -4\/5, 0.4, -2?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 135 + -26. Let j = f + -109.133. Round j to two decimal places.\nAnswer: -0.13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -9*y - 3. Let q(o) be the first derivative of 5\/2*o**2 - 4 + 2*o. Let n = -15 + 11. What is n*p(g) - 7*q(g)?\nAnswer: g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 73*p - 36*p - 1784471*p**2 - 37*p.\nAnswer: -1784471*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -2*k**3 + 82*k**2 - 57*k + 364. What is the thousands digit of u(30)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: e9c (base 15) to base 11\nAnswer: 2528","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -i**3 - 5*i**2 - 5*i - 7. Suppose -5*x = -2*x + 15. Let c be l(x). What is the greatest common divisor of 12 and c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x**4 - 611916*x**3 + 62406865176*x**2 - 2121542183946512*x = 0.\nAnswer: 0, 101986","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/193? (a) 24.91 (b) 0 (c) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -5*r - 7. Let y(a) = 2*a + 0 + 9 - 7. Let h(m) = -3*t(m) - 8*y(m). Calculate h(4).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(sqrt(17) + (sqrt(17) - sqrt(68)))**2*5.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 times 412?\nAnswer: 1648","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 2*a + 10. Let b be l(0). Let t(i) = 2*i - 13. What is the least common multiple of t(b) and -10*(-2 - 6\/(-4))?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(6)\/(sqrt(36)\/(sqrt(12) - sqrt(12)*3)).\nAnswer: -2*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor p**3\/6 + 7501649*p**2\/2 - 15003300*p + 45009902\/3.\nAnswer: (p - 2)**2*(p + 22504951)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a litre in millilitres?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1 - -233?\nAnswer: 232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4087 is divided by 186?\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jjjjjjjjttjqjxrtbx. Give prob of sequence xbx.\nAnswer: 1\/2448","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.13 plus -0.06930970124?\nAnswer: -0.19930970124","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 82311653 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1773 - -1776. Let v(o) = 48*o**3 - o**2 + o. Let k be v(1). Suppose -u*w - 15 + k = 0. What is the greatest common divisor of 33 and w?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*o - 258 = -20*o - 3*j, -437 = -5*o + 2*j. Solve 44*a = 133 + o for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1593799, -1594017, -1594235?\nAnswer: -1594453","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = h**3 - 2*h**2 - 3*h + 1. Let d be l(3). Let b be 1 - (-12)\/(d + 2). Suppose 7*k = 2*k + b. Sort k, 3, 5 in descending order.\nAnswer: 5, 3, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y = y - 16, -y = -4*i - 52288. Let f = i - -27271. Round f to the nearest one thousand.\nAnswer: 14000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -41\/16 and -69\/6656.\nAnswer: 6656","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*v + 180*v - 580 = -13*v + 2495 for v.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence po when two letters picked without replacement from {t: 1, z: 1, k: 1, o: 1, p: 1}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 588718 is divided by 1574.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -320 = -3*a + 7. Suppose -3*u - 233 = -3*i + a, -i + 108 = 5*u. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -2*w**2. Let l(z) = -108*z + 1. Give y(l(v)).\nAnswer: -23328*v**2 + 432*v - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-2)\/(-6))\/((-3 + 8)\/45). Let q be (-2 + 1)\/((-3)\/(-54)*g). Let b(a) = a**2 - a + 6. What are the prime factors of b(q)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -1 - y**2 - 7 - y**3 + 19 + y. Calculate the remainder when d(-5) is divided by 36.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 77 minutes after 7:33 AM?\nAnswer: 8:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) be the second derivative of 7\/6*x**3 + 0*x**2 - 2*x + 0. Let n(g) = -2*g**2. Determine m(n(q)).\nAnswer: -14*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 548\/271 + -737174\/2439. Let i = -19555\/72 - q. Let z = -29 + i. Which is the closest to 0? (a) -0.1 (b) z (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 5*z = -2*m, 0 = 2*m - 5*z. Suppose m = s - s - 2*s. Solve s = -0*y + 4*y - 20 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -16\/5? (a) 1\/2 (b) 1\/6 (c) -3 (d) 5 (e) -7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/(-30)*(-2)\/(-3))\/((-9)\/(-15)).\nAnswer: -1\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (21\/(-490)*-38)\/(10\/(-770)*-33).\nAnswer: 19\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 129498719?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 10051, 40837, 92355, 164605, 257587?\nAnswer: 371301","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 597 minutes before 11:08 AM?\nAnswer: 1:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 9*u**2 - 7*u - 5. Suppose -q = q - 8. Let b(i) = 2*i + q*i**2 - 14 - 5*i + 12. Determine -7*b(m) + 3*y(m).\nAnswer: -m**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -269 - -278. Let b(r) = -r**3 + 7*r**2 + 4. Let l be b(7). Let g be 54\/(5*l\/10). What is the greatest common factor of g and j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -o**3 - o**3 + 0*o**3 + 8 + (2 + 2*o**3 - 2)*(0 + 1 - 2) as z*o**3 + x*o**2 + i + w*o and give i.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.7343 take away 3?\nAnswer: -4.7343","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 100 and 0.06587323?\nAnswer: 99.93412677","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4414276?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -133.208 + 133. Let b = 0.20841 + y. What is b rounded to 4 decimal places?\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1127985.\nAnswer: 3, 5, 139, 541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:15 AM and 8:57 AM?\nAnswer: 102","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/n**(-32\/3)*n)\/n*n\/(n**(-8\/5)\/n)*n*(n*n\/(n\/n**(-7))*n)**(2\/5))**31 assuming n is positive.\nAnswer: n**(6634\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -265 - (69 - 520) - (47 + 2).\nAnswer: 137","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 9798 a factor of 2961729642?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 6*x**2 + 2*x + 4. Let z(a) = 8*a**2 + 2*a + 2. Determine 2*h(g) - 3*z(g).\nAnswer: -12*g**2 - 2*g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:04 PM and 6:32 PM?\nAnswer: 88","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cb when two letters picked without replacement from {c: 2, b: 8}?\nAnswer: 8\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -9 + -16 + (-2 - -15)\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*l**3\/2 + 5163*l**2\/2.\nAnswer: 3*l**2*(l + 1721)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-1\/5)\/c*c\/(c**26*c)*c*(c\/(c**(-2\/9)\/c))\/c*c*(c**(12\/13)*c*c)\/c)**(-3) assuming c is positive.\nAnswer: c**(12902\/195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 196\/(-28) + (-2)\/(152\/(-540))?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3 + 5. Let t = 9 + -13. Suppose 15 = -5*r - 5*y, 466*y - 25 = -r + 461*y. What is the fourth smallest value in r, s, t, 0.5?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 90295053?\nAnswer: 3, 103, 107, 2731","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = i**2 + 5*i - 9. Let g be r(-7). Suppose 4*v + 3*j - g*j = 12, 5*j + 18 = 4*v. What is the units digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 811\/1 - (-13 + 8)\/(-5) a multiple of 45?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 7*x - 58. Let b be c(9). Let o(m) = 11*m**3 + 33*m**2 + 28*m + 6. Let w(p) = 16*p**3 + 49*p**2 + 42*p + 9. Let d(u) = b*w(u) - 8*o(u). Factor d(i).\nAnswer: -(i + 1)**2*(8*i + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10731 is divided by 23.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.4 + 13561595.\nAnswer: 13561594.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 32 (base 8) in base 9?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 1, o: 2, e: 2, b: 2, m: 1}. What is prob of sequence borb?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 103 - -2?\nAnswer: 111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (7 + -8 - -57) + 12 + (28 - 22)\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 191730 <= 191726?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -20399273 divided by -20399273\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -63 + 1722?\nAnswer: 16ae","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g + 15 = 0, -37*g = 4*s - 36*g - 1105. What is the units digit of s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -37*q + 188. Let s be j(5). Solve -10 = -2*a + s*m, 3*a + 4*m = -5 + 3 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -19.4 - -19. Let a = 3.6 - y. Sort 4\/9, a, -0.5.\nAnswer: -0.5, 4\/9, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(63) + sqrt(504)\/(sqrt(8)*3))\/(sqrt(324)*6).\nAnswer: sqrt(7)\/27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 10}. What is prob of sequence rrrr?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 1 (b) -2 (c) 8983\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*s**3 - 10*s**3 + 2*s**2 + 4*s**3 - 32)*(0*s - 4*s + 3*s).\nAnswer: s**4 - 2*s**3 + 32*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 36158, 72309, 108460, 144611, 180762, 216913?\nAnswer: 253064","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1084632 is divided by 459?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -3, -5, 9, -36, 3, -1?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 9566959 to the nearest integer?\nAnswer: 212","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = 100 - 96. Solve 2*b + 4*d = 21 + 3, -p*b + 5*d = 12 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6553*o - 2173*o + 3 - 2177*o - 2195*o - 106*o**2 to the form a*o**2 + j*o + d and give j.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*b + 2*b - 4*b**2 + 2*b + 5*b + 4*b.\nAnswer: -4*b**2 + 6*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -49*d = 1273 - 23372. Is 18 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -5*p**2 - 137*p - 52. Let t = 764 - 791. What is w(t)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -3, 2, 936, 0 in ascending order.\nAnswer: -3, 0, 1, 2, 936","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 687 minutes after 6:18 PM?\nAnswer: 5:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 times 58875945?\nAnswer: 294379725","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (217\/62 - 3\/(-2)) + -2\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 6118, 16577, 27032, 37483, 47930, 58373, 68812?\n\"Answer: -2*c**2 + 10465*c - 4345","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 - 4 = -3*m. Suppose -4*i = -0*i + m*l + 13, -2*i + 2*l = 10. Let v = -2.904 + -0.096. Sort -0.2, v, i.\nAnswer: i, v, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2 + (sqrt(162)*2 + -2 - sqrt(162)) + (sqrt(162) - (sqrt(162) + (3 + sqrt(162))*-4)))*-4 + 4)**2.\nAnswer: 15840*sqrt(2) + 66736","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2669 is divided by 666?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10942 is divided by 1016?\nAnswer: 782","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4\/3*l**2 + 16\/3 - 20\/3*l.\nAnswer: 4*(l - 4)*(l - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (16\/20)\/((-6)\/(-105))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-26)\/(-6) + (-6)\/(-9). What is the second derivative of -h*f**5 + 3*f + f**5 + f + 0*f**5 wrt f?\nAnswer: -80*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 140*c**5 - 151*c**4 + 3954*c wrt c.\nAnswer: 2800*c**3 - 1812*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/(40\/(-14)) - 126\/35.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -4\/5, -127, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 463 minutes after 5:12 PM?\nAnswer: 12:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 2535 divide 146893110?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-35012)\/(-5) + ((-15)\/(-60))\/(5\/(-8)).\nAnswer: 2, 3, 389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -398*v**2 + 196*v**2 + 199*v**2.\nAnswer: -3*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2*3\/(-15) + 6\/(-10). Which is the nearest to g? (a) 0.4 (b) 3\/4 (c) 13 (d) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*u**4 + 91074539*u**3 + 2*u - 541919911 with respect to u.\nAnswer: 8*u**3 + 273223617*u**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -43 + 2 - ((-54 - -25) + 28)?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 4) to base 11.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*x - 4*x**3 + 7290*x**2 + 92 - 14578*x**2 + 7287*x**2 as r*x**3 + u*x**2 + a + t*x and give t.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 5974 and 53766.\nAnswer: 53766","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1388*z**2 - 5836*z + 213473432 with respect to z.\nAnswer: -2776*z - 5836","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + h = -10, -4*z - z + 2*h = -14. Let t be z + -5 + 6 - 33. What is t rounded to the nearest one hundred?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 1 - 4*t - 2*t**2 - 4 - 2*t + 2*t. Suppose 0 = 2*r + 4*a - 3 - 1, -2*r = -2*a + 8. What is m(r)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) be the second derivative of -s**7\/189 - 22*s**6\/135 - 4*s**5\/9 - 472*s. Factor n(k).\nAnswer: -2*k**3*(k + 2)*(k + 20)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a century in years?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y + 2639*j + 94 = 2643*j, -14*y - 172 = -6*j for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) be the second derivative of -5\/6*f**3 + 30*f + 0 + 0*f**2. Let k(n) be the first derivative of -2*n**3\/3 + 1. Determine z(k(m)).\nAnswer: 10*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -2*a**3 + a**2 - 5*a - 5. Suppose -3*h + 2 = -5*h - 2*d, h - d = 5. Let b be (-1 + 2)\/(h\/(-4)). Is n(b) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -3, 0.45912, 1, 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -760100*-1\nAnswer: 760100","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of (-2)\/4 - (2 - (-282)\/(-4))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) be the third derivative of b**5\/30 + 7*b**4\/3 - 167*b**3\/3 + 3868*b**2. Differentiate j(u) with respect to u.\nAnswer: 4*u + 56","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = s**2 + 3*s + 5. Let u be z(0). Suppose 5*t = -u*b + 7710, -5*b + 3*t - 4*t + 7714 = 0. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-78)\/(-338)*40\/30\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.09 (b) -1\/4 (c) 1 (d) -5 (e) -101.03\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1019922 to the nearest integer?\nAnswer: 1010","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 8 + -8.03. Let p = -0.97 + q. Which is the second biggest value? (a) p (b) 3 (c) 4 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -5*w**2 + 11*w - 9. Let b(s) = -3*s**2 + 6*s - 5. Suppose -2*g + 6*g - 4 = 0. Let t be 1\/(16\/(-14) + g). Give t*b(z) + 4*m(z).\nAnswer: z**2 + 2*z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -57*v + 25 = -32 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 459745.4l?\nAnswer: 459745400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 6ab + -7?\nAnswer: 6a4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 193713186 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 100\/(-1760) - 2\/16. Let r = -8.8 - -9. Which is the second biggest value? (a) -0.01 (b) 0 (c) r (d) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2.71 - 0.09. Let m = z - 1.2. Let q = 4.405 + -1.405. What is the second biggest value in m, q, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) be the first derivative of -2*m**3\/3 + 7*m**2 + 1348. Let j(g) = g. Determine h(j(v)).\nAnswer: -2*v**2 + 14*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 5845\/912 - 119\/19. What is the common denominator of -11\/24 and v?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*i**4\/9 + 2*i**3\/9 + 2*i**2\/9 - 2*i\/9.\nAnswer: -2*i*(i - 1)**2*(i + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 - 19 = -3*q. Let c(t) = -3*t - 1 - t + 6*t + 5*t. Does 17 divide c(q)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 67101807 to the nearest integer?\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-544)\/1700*25)\/((-10)\/(-6))?\nAnswer: -24\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 80984 (base 10) to base 6.\nAnswer: 1422532","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add together -8088494055623 and 3.\nAnswer: -8088494055620","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 45 (base 9) to base 12\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 64 + -57. What is the remainder when 58 is divided by c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -16383 divided by -1\nAnswer: 16383","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out -37 * 2.\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -8789\/8 + 8795\/8. Factor -x*u**4 + 5\/4*u - 21\/4*u**2 + 19\/4*u**3 + 0.\nAnswer: -u*(u - 5)*(u - 1)*(3*u - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-6*p**3 + 4*p**3 + 3*p**3)*(-p - 3*p + 2*p)*(104 + 124 - 202) as s + r*p**3 + v*p + m*p**4 + q*p**2 and give m.\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -167.49 + 0.542213044.\nAnswer: -166.947786956","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d + 4*a = 10, -492*d + 3*a = -493*d + 9 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 38947057 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -6.317 take away -0.13?\nAnswer: -6.187","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 71\/579 and 41\/21?\nAnswer: 4053","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -88\/15 + 2066\/255. What is the third smallest value in 4, -1, u?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 34\/5 of a centimeter in millimeters?\nAnswer: 68","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 2*z**3 - 3*z**2 - 3*z. Suppose -7 = -4*m + 1. Let v(f) = 3*f - 226*f**m - f**3 - f - f + 227*f**2. What is 2*o(x) + 6*v(x)?\nAnswer: -2*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 5*z + 56 = 0. Solve 4*v - 3*v - 5*g = -z, 0 = 2*v - 5*g + 31 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 2878, 1348, -1206, -4790, -9410?\n\"Answer: -c**3 - 506*c**2 - 5*c + 3390","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 3*y - 1. Let w be h(-6). Let c be (-624)\/(-80)*3\/(6\/10). Let d = w + c. What is the tens digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 155 is divided by 82.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 + 1 - 3)*(5*a - a - 2*a)*(-3*a + 8 - 8) to x*a + s + u*a**2 and give u.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -k**3 + 6*k**2 + k - 4. Suppose -5*t + 267 = o - 5, 5*t - 260 = -5*o. Let i = 61 - t. Determine u(i).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -g**5\/8 + g**4\/8 + g**3 - 3*g**2\/2.\nAnswer: -g**2*(g - 2)**2*(g + 3)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -1 + -1*(-21)\/5. Let z = 0.373 + -0.073. Is q less than or equal to z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 26\/6505*(103\/2060 - (-58)\/40) and -52\/11.\nAnswer: 71555","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 154.49 + -155. Let k = h - -0.91. Is -2\/21 at least k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 6\/2 - (-286077)\/(-429). Let p = b - -664. Let v = 1 - 0.8. Do p and v have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8407 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-c - 4*c - 3*c)*(2*c**2 + c**2 + 0*c**2) + (4 - 8*c - 4)*(3 - 3 + 2*c**2) to l*c**2 + s + a*c + b*c**3 and give b.\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 4, s: 2, l: 1, j: 2}. What is prob of sequence cjs?\nAnswer: 2\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.4776 and -26?\nAnswer: 12.4176","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -2b215b (base 16) in base 10?\nAnswer: -2826587","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 556.\nAnswer: 2, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) be the second derivative of -f**6\/105 - f**5\/70 + 5*f**4\/21 - 8*f**3\/21 - f - 8. Factor d(l).\nAnswer: -2*l*(l - 2)*(l - 1)*(l + 4)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 270 and 46334565?\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*w - 3*w + 9*w to g + q*w and give q.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -o**3 - 8*o**2 - 8*o - 2. Suppose 58*i - 57*i = -111. Let u = i + 104. Give b(u).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -6 + 3. Let r = 1 + a. List the prime factors of 1*4 + r + 0.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*v**4 - 13*v**4 - 19*v**4 + (157*v - 157*v + 32*v**2)*(4*v**2 - 4 + 4) in the form w*v**4 + f*v**2 + d*v**3 + a + u*v and give w.\nAnswer: 98","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*l + 2*l + 2*l)*((9*l - 2*l - 2*l)*(6 - 6 + 4) + l + 1 - 1).\nAnswer: -21*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4 - (-3 - (1 - 42))) + -17 + 11?\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 33 (base 15) in base 4?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 552 and 83076.\nAnswer: 276","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (4*1)\/((-4)\/100). Let k be 2\/6 - o\/(-12). Let q be ((-6)\/4)\/(6\/k). Calculate the greatest common divisor of q and 5.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n - 15 = -0*n + p, 3*n = 4*p - 30. Do n and -6 have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1018 + 1023. Solve -p*k = 2*k - 8*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 199383*a**4*x + 3*a*x + 131*a - 64*x + 18 wrt a.\nAnswer: 2392596*a**2*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2092472497 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 5*s = -33, 3*s + 4 - 13 = -3*z. Solve z*q - 45 = -27 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 15 + 3 = 0. Let l = 9 - g. Let f(z) = -3*z**3 - 8*z**2 - 2*z - 13. Let i(m) = m**3 + 4*m**2 + m + 6. Let o(w) = -2*f(w) - 5*i(w). What is o(l)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -201021 + 110102020?\nAnswer: 102200222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10087.85 years to decades.\nAnswer: 1008.785","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = w**3 - 12*w**2 + w. Let t = -94 - -106. What is the units digit of g(t)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 83975205 is divided by 4084.\nAnswer: 4081","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 145146587 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 47841?\nAnswer: 3, 37, 431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (4 + 0)*5\/4. Suppose u = b, 3*u = -i*b - 3 + 27. Solve u = 2*v - 5 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 390 and 30675.\nAnswer: 797550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 34\/5 of a gram?\nAnswer: 6800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 36\/420*80\/144\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.9 + 1. Let u be 2 - (16 - (-1 + 0)). Let l = -19 - u. Which is the third smallest value? (a) l (b) -2 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in two ninths of a hour?\nAnswer: 800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 273, 1162, 2621, 4596, 7033, 9878, 13077, 16576?\n\"Answer: -9*z**3 + 339*z**2 - 65*z + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -10068 + 14988. List the prime factors of i.\nAnswer: 2, 3, 5, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30*k + 2 = -40*k + 69*k for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -17.8232*0.498.\nAnswer: -8.8759536","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-2\/37)*y**(-10)*(y*y**(-7)\/y)**(4\/15))**(-1\/68) assuming y is positive.\nAnswer: y**(1654\/9435)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*w - 104*w + 15214 = 14704. Calculate the highest common factor of 1488 and w.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 574*g - 590*g + 5*f - 52 = 0, 32 = 4*g + f for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is seven eighths of a litre in millilitres?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 1514028.9 to the nearest one thousand.\nAnswer: 1514000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 612 minutes before 10:00 AM?\nAnswer: 11:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide 137 by 1088940.\nAnswer: 137\/1088940","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + (3*(-1*sqrt(76)\/sqrt(4) + 2 + sqrt(19) + -1) - (5*sqrt(1900) + sqrt(38)\/sqrt(2) + 2 + sqrt(19))))**2.\nAnswer: -416*sqrt(19) + 51392","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 303 = -36*s + 735. Suppose -19*q + 1540 = -s*q. What is the greatest common factor of q and 30?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 102223 - 4?\nAnswer: 102214","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4735299 is divided by 172.\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert a (base 15) to base 3.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 6 + 49*s**3 + s - 51*s**3 + 0*s in the form x*s + l*s**2 + b + v*s**3 and give b.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in twenty-seven quarters of a meter?\nAnswer: 675","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1.42 + -63.42. Let s = 57.3 + y. Let i = -6.7 - s. Put 6, i, 5 in descending order.\nAnswer: 6, 5, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.4 (b) 4 (c) 5 (d) 614\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13482200 is divided by 1914?\nAnswer: 1898","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-560 - -563) + 1 + -6.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 - 1 - (-31 - -18 - 3).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 681427174?\nAnswer: 2, 340713587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3291*q - 474452 = 3363*q - 333*q - 535*q for q.\nAnswer: -82","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 216*a = -215*a + 643*a - 219*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -m**2 - 7*m - 6. Let t be q(-6). Suppose t = -3*n + 16 - 4. Solve -12 = n*g - 4*x, x = 4*g - x + 8 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 847013 is divided by 938?\nAnswer: 937","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1.1 + 0.8. Let i = 776529\/10 - 77653. Which is the second biggest value? (a) i (b) 3\/7 (c) f (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1640880.\nAnswer: 2, 3, 5, 43, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 287701.5 nanograms?\nAnswer: 0.2877015","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) be the first derivative of y**3\/12 + 3*y**2\/4 + 9*y\/4 + 7. Factor z(q).\nAnswer: (q + 3)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 138755822*i**5 - 3*i**2 - i + 94791 wrt i?\nAnswer: 8325349320*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 6*z - 1. Suppose 4*s = 1 + 3. What are the prime factors of q(s)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 244.052 - 244. Which is the third biggest value? (a) -5 (b) -2\/13 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -7039190, -14078379, -21117568, -28156757, -35195946, -42235135?\n\"Answer: -7039189*r - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 0.3, -1\/5, 1, -15, 1\/18?\nAnswer: -15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -3.5 (b) -1 (c) -52 (d) 15012\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 10, 33, 72, 127?\nAnswer: 198","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*x + x - 2*x**2 - 7*x.\nAnswer: -2*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 5, -5, -1?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -13 + 11?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -121, -305, -555, -871?\nAnswer: -1253","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-15)\/(-9)*-9*143\/(-195)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 24*i*j*k + 3*i*k**2*p + 108*i - 478*j*p - 403*k*p + 24*p wrt k?\nAnswer: 24*i*j + 6*i*k*p - 403*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (9\/24)\/(((-78)\/(-20))\/13)?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = w**3 - w + 5 + 3 + 0*w**2 + w**2. Let x be 4\/6 - 38\/57. What is the units digit of h(x)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a millimeter in micrometers?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 6*u - 1. Let l be i(1). Let n = -1 + 1. Suppose -l*m + a = -133, n = -a + 2. Calculate the greatest common factor of 189 and m.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-145*p - 143 + 69 + 76)*(-285*p + 285*p - 37*p**2) to x*p + c*p**3 + q + h*p**2 and give c.\nAnswer: 5365","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Add together 235 and -0.092119.\nAnswer: 234.907881","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.143 less than -132403?\nAnswer: -132402.857","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 13*c**4 - c**3 - 373*c wrt c.\nAnswer: 156*c**2 - 6*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4*r**3*x - 168290590*r**3 + 4*r**2*x - 11772*r*x + 7*x wrt x.\nAnswer: -4*r**3 + 4*r**2 - 11772*r + 7","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 400304.\nAnswer: 2, 127, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10124*i - 10325*i - 1206 = 0 for i.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 6.54 - -0.46. Let r = f - 7.61. Let t = -1.11 - r. Is t less than 4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = n - 2*n - 8. Let u = n + 5. Let j = 0.06 - -0.34. Which is the second biggest value? (a) u (b) j (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 22\/434953 and -109\/113466.\nAnswer: 2609718","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 9 - -10. Let f = v + -47. Let i = f + 33. Which is the smallest value? (a) i (b) 3 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 14046, -2\/45, -2, -0.4, 0.03 in decreasing order.\nAnswer: 14046, 0.03, -2\/45, -0.4, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-60)\/160*8 + (-4)\/2?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.1 (b) 21 (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 227.3 * -4.\nAnswer: -909.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 147 + (-303 - -188) - (0 - 0)\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-8)\/6 - 10\/15. Let w be (r + 2)\/(0 + -2). Suppose 4*y = 3*z + y - 21, w = z + 4*y + 3. Solve 0 = -2*o + 5*n + 10, -o = -z*o + 5*n for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-96)\/(-50 + 38) + (448\/9 - (-4)\/18)\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (1 + 3\/(-2))*0. Let l = 3 + g. Suppose -5*j - l = -38. What is the units digit of j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 2*v**3 + 3*v**2 - 16*v + 2. Let h(z) = z**2 - 1. Determine -3*h(i) + k(i).\nAnswer: 2*i**3 - 16*i + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 399, 1504, 3351, 5952, 9319?\nAnswer: 13464","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 46 divide 476789494?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 57745314?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence afa when three letters picked without replacement from {f: 9, a: 2}.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -b**2 - 6*b - 7. Let z be i(-5). Let o be 1\/z - 10\/(-4). Suppose 4*u - 8 = o*v - 38, 4*v - 3*u = 35. What is the units digit of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-5 - (2 + -12)) + -15 + -5\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*h**2 + 130004130*h.\nAnswer: -3*h*(h - 43334710)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (11\/(7\/42*-6))\/(-1)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*a**4\/11 + 32440*a**3\/11.\nAnswer: -2*a**3*(a - 16220)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 3, 23310, 2, -2\/13, -1?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -6992 or -4422?\nAnswer: -4422","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -18126211 * 4.8\nAnswer: -87005812.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 133 - 56. Let y(k) = -k**3 + 6*k**2 + 9*k - 3. Let b be 102\/14 + (-10)\/35. Let f be y(b). What is the greatest common divisor of s and f?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in one quarter of a gram?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 48*o - 93*o - 5*o**3 + 46*o + 9 as f + i*o**3 + m*o + z*o**2 and give m.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(2\/7)*r\/(r*(((r\/(r*r*((r*r*r**(-4\/7)*r)\/r*r)\/r*r))\/r)\/r)\/r))\/(r**(2\/5)*r**(-6)) assuming r is positive.\nAnswer: r**(431\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.3, -0.4015, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 6225 and 202935.\nAnswer: 1014675","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*p + 8645 = r - 5*p, 0 = 2*r + p - 17308. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1044355 is divided by 7405.\nAnswer: 250","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d = -2*t - 35818, -3*t = -4*d + 3*d + 7161. What is the tens digit of d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*v**4 - 1 + 66*v**3 + 2*v - 39*v**3 + 16*v**2 - 21*v**3 - 7*v**3 as p*v**4 + m + q*v**3 + i*v**2 + c*v and give q.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 266 and 7049?\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 39 - 20. Let v(l) = -5*l**2 + 31*l - 10. Let n(h) = -4*h**2 + 29*h - 8. Let x(a) = 4*n(a) - 3*v(a). Does 18 divide x(f)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -s**3 + s**2 - 20. Suppose -14 = 4*p - 3*h - 2, -5*h = -4*p - 20. Let q be y(p). Let m = -13 - q. Calculate the remainder when m is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = -4*j - 4*d, 4*j + 14781 = 4*d + 14785 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1134771\/4 + 1646489\/6. Let p = u - -9272. Find the common denominator of p and ((-2)\/(-32))\/((-2)\/108).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 3*f + 3. Let k be s(4). Let m = 400 - 389. Suppose m*p = k*p - 40. Does 7 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -8*m - 171. What is b(-32)?\nAnswer: 85","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3 - -1) + 14 + -10 - -3.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -4, 2825, 23?\nAnswer: 2825","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 26846?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 34 - 40 = 0. Which is the third biggest value? (a) -0.1 (b) m (c) -0.3 (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r = 5*z + 85, 0*z = 3*r + 4*z - 16. Calculate the smallest common multiple of r and 4.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 49156558391 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -3 (b) -10 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.38 in 2\/9, 4\/5, 0.1?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - 24 = -5*x. Suppose 0 = x*p - 7*p, 5*p + 2 = l. Suppose -8*m + 72 = m. Calculate the lowest common multiple of l and m.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-57)\/13)\/((-324)\/(-2808)).\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -7\/1675906 and -101\/20.\nAnswer: 16759060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*p + 4*w = 3*p, 4*p - 5*w + 1 = 0 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 61751219 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 n when three letters picked without replacement from nnbvb?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 4, w: 1, n: 6}. What is prob of picking 3 c and 1 w?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11491 + 11691 - 14698 = 192*d + 13534 for d.\nAnswer: -146","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-4)\/4*1 - 12. Let b be 2\/i + (-1672)\/(-52). Suppose -2*t + b + 16 = 0. What is the lowest common multiple of 6 and t?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(98)*-1 + sqrt(98) + 1 - 5*(1 + sqrt(2))*-2.\nAnswer: 11 + 10*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:09 PM and 3:13 PM?\nAnswer: 4","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3*((-434)\/(-63))\/(-31).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 631 is divided by 207.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 2243 * -2\nAnswer: -4486","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + 1 - 596\/149?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 13061, 13078, 13105, 13142?\n\"Answer: 5*f**2 + 2*f + 13054","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 45 and 39209945?\nAnswer: 352889505","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -2168*h. Let p(l) = 11*l**2. Determine p(n(a)).\nAnswer: 51702464*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -2 + 5 + 6 + l. Let o be t(-11). Is -2 smaller than o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/25 of a microsecond in nanoseconds?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -6 + 10193?\nAnswer: 1018b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 2*-12*27\/(-72)\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 446641000?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1331 is divided by 664?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -c**2 + 4*c - 7. Let s be j(5). Calculate the common denominator of (-3)\/2 - 156\/(-546) and (-470)\/12 + 4\/s.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 38667 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(1584)*-1)**2 + (sqrt(1584) - (sqrt(1584) + 2 - sqrt(1584)))**2*-4 + -3.\nAnswer: 192*sqrt(11) + 7901","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -280, -1047, -2320, -4099?\n\"Answer: -253*l**2 - 8*l - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3686 + 8419. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = a**2 + 8*a - 32. Let j be h(-11). Let v be (-11)\/(j*(-1 + (-2138)\/(-2140))). What is v rounded to the nearest 1000?\nAnswer: 12000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) be the third derivative of g**5\/60 + g**4\/24 - g**3\/3 + 2*g**2 - 2. Calculate l(-4).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 48 a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cccccggggcccgcgccgc. What is prob of picking 1 c and 1 g?\nAnswer: 28\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12374 - a + 12374.\nAnswer: -a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 40796.74 rounded to the nearest ten thousand?\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of i*k**2*z**3 + i*k**2 + 31*i*k*z**2 + 11*i*k*z - k**2*z - 4350*k**2 - 42*k*z**3 wrt k?\nAnswer: 2*i*z**3 + 2*i - 2*z - 8700","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 + 1)*1 + (-3)\/(-1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18241828 a multiple of 517?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 221 = -3*n - 5*q, 213 = n - q. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is nine tenths of a millisecond in microseconds?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -113 + 113 - 7*x**3 + 0*x**3 + x**3 + 0*x**3 + (2*x**3 + 4*x**3 - 4*x**3)*(-1 + 1 + 1) to the form c*x**2 + p*x**3 + j*x + z and give p.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 1, a: 4, v: 5, b: 8}. What is prob of picking 1 a and 1 b?\nAnswer: 32\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 14004296135 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 166051782 divided by -55406?\nAnswer: -2997","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 7 + -5. Solve -160*t**2 + h*t + t - 2 + 159*t**2 = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -o + u - 5, 0 = 3*o - 8*u + 12*u - 20. Let w(a) be the second derivative of 1\/6*a**4 - a - 2*a**2 + o + 1\/3*a**3. Factor w(l).\nAnswer: 2*(l - 1)*(l + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 702 (b) -2\/9 (c) -0.5 (d) 4\/167\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 10000101100 (base 2) to base 12\nAnswer: 750","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 236*p - 1. Let k(v) = -10*v**2. What is k(i(m))?\nAnswer: -556960*m**2 + 4720*m - 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 3*h**3 - h**2 + h - 1. Let m be u(1). Let q = 5 - 9. Put -3, m, q in descending order.\nAnswer: m, -3, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21445 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = w**2 - 5*w + 6. Let r be g(12). Let u = -78 + r. Solve u = -3*a + 3 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -3 (b) 96 (c) -5 (d) 4.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 916943 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - 76773 = -3*s, -4*s - 33*v = -29*v - 102348. What is the tens digit of s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20 = -2*q + 22 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xynnnycyxcnynnzc. Give prob of picking 1 x, 1 n, and 2 y.\nAnswer: 18\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*k**3 + 280*k**2 - 13050*k + 202500.\nAnswer: -2*(k - 50)*(k - 45)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 24139 - 13982. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -80, -137, -194, -251?\nAnswer: -308","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2\/(1 - (-1 - -1)). What is the third derivative of z**2 + 0*z**5 + 4*z**5 - 10*z**f - 2*z**2 wrt z?\nAnswer: 240*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -64 (b) 3 (c) 0 (d) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 3*h = n + 231, -12 = -4*h. Let m = n + 163. What is the remainder when m is divided by 18?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(2*(sqrt(832) + 2 - sqrt(832)) - (3 + sqrt(832)*-3 + sqrt(832)))*-2*1)**2.\nAnswer: 3200*sqrt(13) + 332900","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 89219113 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = j**3 + 7*j**2 - 4*j + 20. Let p be q(-8). Let d be p\/(-15) - (-36)\/5. Solve v = 5*v + d for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1073 + -1065. Let z(u) be the second derivative of 0*u**3 + i*u**2 + 1\/3*u**4 + 19*u + 0. What is the derivative of z(b) wrt b?\nAnswer: 8*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1339?\nAnswer: 13, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (1\/(-2))\/(15\/(-610)). Let d(u) = -u**2 + 3*u + 8. Let h be d(7). Let f = h + z. What is the second smallest value in f, -1\/3, -4?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -84525*v + 206. Let y(g) = 4*g. Give y(i(c)).\nAnswer: -338100*c + 824","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 30*l**3 + 84*l**2 - 29*l**3 - 23*l**3 + 48 + 280*l.\nAnswer: -2*(l - 6)*(l + 2)*(11*l + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 1 v when two letters picked without replacement from {i: 3, v: 12}?\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qqd when three letters picked without replacement from {m: 1, q: 2, d: 1, e: 4}?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.0203 in 62\/3, 57, 1\/8, 7, -4?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 36413 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -0.4 (b) -5 (c) 0.2 (d) -18\/7 (e) 6\/7 (f) -3\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4 + -4. Let l(g) = -g**2 + g - 6. Let s be l(j). Let u = 8 + s. Solve 5*k = 20, 5*v - 3 = u*k + 9 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 3\/12 + (-198)\/(-8). Suppose 0 = -4*t - t - q. Let b be 26\/40 + t\/20. Put b, 1, -2 in descending order.\nAnswer: 1, b, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-1\/2)*x*(x**(-3\/2)\/x)\/x)**(-2\/13) assuming x is positive.\nAnswer: x**(6\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2423 is divided by 463.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Determine s so that -2*s**3\/7 - 30*s**2 + 4266*s\/7 - 19926\/7 = 0.\nAnswer: -123, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 = -5*h + 2*f, 2*h = 5*h - 2*f - 4 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uiuuqqq. What is prob of picking 1 u and 1 i?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3247737.\nAnswer: 3, 1082579","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (2\/8)\/((-1)\/2). Which is the biggest value? (a) 0.2 (b) q (c) -2\/7 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 67\/1823 and 0 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is m in -2*m**5\/9 - 2342*m**4\/9 + 97048*m**3\/9 + 67816*m**2\/3 = 0?\nAnswer: -1211, -2, 0, 42","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -x**3 + x**2 - 2. Let z = 8 + 0. Suppose 0 = -6*o + 5*o + z. Suppose -o*j + 7 + 9 = 0. Determine t(j).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 408\/1379 + -2\/197. Is 0 <= c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 527 and 935952.\nAnswer: 527","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000015218 to 7 dps.\nAnswer: 0.0000015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 110000 + -110010011?\nAnswer: -101100011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + -6 + 7 + -2 + -7.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 5*f - 12. Solve 0 = -f*s - 4*t + 33 - 13, -s = -t + 5 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 10*k**3 - 4505*k**2 - 57710*k - 76395.\nAnswer: 5*(k - 463)*(k + 11)*(2*k + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y - 16964 = k + k, 8492 = -k - 4*y. What is the thousands digit of ((-2)\/1)\/(5 + 42376\/k)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*d**3 + 93*d + 0*d**3 + 4039*d.\nAnswer: 2*d**3 + 4132*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 116 = -w + 6*g, 0 = 3*w - 5*g - 347. Is 114 greater than w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 1020?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) be the second derivative of 13*o**3\/6 - 325*o. Let m(r) = 159 - 3*r + r - 159. Give j(m(h)).\nAnswer: -26*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 22 - 6. Let z be (-1 + 2)*-2 + (4 - -78). Calculate the highest common factor of z and h.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4135 is divided by 148?\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 75 = 8*w - 5*w. What is the second derivative of -15*v - 3*v + w*v - 5*v**3 wrt v?\nAnswer: -30*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (333 + 3440*q - 333 + 1389*q + 582*q)*(4*q**2 + 0*q**2 - 3*q**2) to a*q**2 + b*q + n + g*q**3 and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3 + 2.8. Are k and -2\/7 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:33 AM and 2:33 PM?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-9)\/(6\/2) + (-6)\/(-2). Let f = 69.6 - 59. Let i = 10.65 - f. Which is the second biggest value? (a) i (b) 0.07 (c) 5 (d) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -746, -1475, -2164, -2795, -3350, -3811, -4160?\nAnswer: -4379","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -10*f + 69. Let g be n(-7). Let v = g - 136. Solve 1 = c - v*m, 4*m = -0*c - c + 8 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 88\/1827 and -53\/28854?\nAnswer: 836766","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1052018 is divided by 3757?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 235393, 472072, 708751, 945430, 1182109?\n\"Answer: 236679*g - 1286","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z + 3*w = -9, 2*w - 100462 + 100476 = -4*z for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jjjattajaa. Give prob of picking 1 t and 1 j.\nAnswer: 8\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 152409411?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by -798943\nAnswer: 3\/798943","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.773234 weeks in seconds?\nAnswer: 5306051.9232","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 456 minutes before 12:45 AM?\nAnswer: 5:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16328 is divided by 460.\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of d*v**3*w**3 - 5*d*v**3 - 3*d*v*w**3 + 31*v**3 - 3*w**3 wrt d?\nAnswer: v**3*w**3 - 5*v**3 - 3*v*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 963629.5 years in months?\nAnswer: 11563554","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2.8 - 2.63. Let i = z + -0.07. Put -0.2, 0.2, i in increasing order.\nAnswer: -0.2, i, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15607054 to the power of 1\/2, to the nearest integer?\nAnswer: 3951","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 318 minutes after 9:34 PM?\nAnswer: 2:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2, -9, -4, 16?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1.5323 - 0.1813. What is v rounded to two decimal places?\nAnswer: 1.35","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -108*m - 80*m**3 - 103*m + 211*m.\nAnswer: -80*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u - 6 = -7*u. Sort -5, 2, u.\nAnswer: -5, 2, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17684171311 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 1.7*6\nAnswer: 10.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 17940 and 19205.\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Total of 198 and 26258.\nAnswer: 26456","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 11.5 - -104.5. Let q = -27.8 + z. Let s = q + -79. What is s rounded to zero dps?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4252694 equal to 4252690?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 53*y + 40*y - 23*y = 0. Sort y, -4, 367.\nAnswer: -4, y, 367","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 925022240?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -130030*l**2 - 27329 with respect to l.\nAnswer: -260060*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -7\/3 (b) -70 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) be the third derivative of x**5\/60 + x**4\/8 + x**3\/2 + x**2. Let g = 18 + -21. Let b be s(g). Solve b = -3*y - 0*y for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 295.87254 months?\nAnswer: 24.656045","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8\/(-54))\/(17149\/1389069).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -312*k - 18 = -2*a - 310*k, 5*a + 4*k = 36 for a.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:19 PM and 5:45 AM?\nAnswer: 386","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find d, given that -4*d**3 + 38800*d**2 + 77612*d + 38808 = 0.\nAnswer: -1, 9702","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:12 PM and 9:08 PM?\nAnswer: 296","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -73*c. Let y(m) = -175*m + 175*m - 2*m**2 + 0*m**2. What is d(y(u))?\nAnswer: 146*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1431 - -1433. Which is the biggest value? (a) -0.4 (b) -12.3 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1714 divided by -3102.\nAnswer: -857\/1551","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -31 - 5?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = -w + 1744, 33*d - 3486 = 31*d - 3*w. What is the tens digit of d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 585.3 and 18 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 3324375.3 to the nearest ten thousand.\nAnswer: 3320000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 5*w**2 + 3 + 0 + 2.\nAnswer: 5*w**2 + 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put together 4 and 148324.\nAnswer: 148328","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 1, a: 1, x: 1}. Give prob of picking 1 a and 1 x.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 11723 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 3 + (-2)\/4*-2. Suppose 22*a - 10*a = 14*a - 4. Suppose 3*s - b*q = -2579980, 7 = -a*q - 3. What is s rounded to the nearest 100000?\nAnswer: -900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (2\/(9 - 11))\/((-235)\/(-10)). Which is the nearest to 0.1? (a) o (b) -0.5 (c) -7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 3*w**2 + 6*w - 33. Let y be j(6). Which is smaller: y or 112?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1650 - 1649.99. What is the nearest to 0.1 in 5, i, 0.17, 4?\nAnswer: 0.17","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -32 + 35. Let f(g) = -g**2 + 8*g - 7. Let h be f(6). Let j be (1\/6)\/(2\/(-8)). What is the nearest to -0.2 in h, j, a?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4687643?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 158 minutes before 2:03 AM?\nAnswer: 11:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3941 - -3964. What is the nearest to 58 in 0, i, -1\/6?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 3\/8 of a minute?\nAnswer: 22500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 69\/6049316?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i, 1 y, and 1 b when four letters picked without replacement from hybbyiihigyy?\nAnswer: 8\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 149 - 309. Let z = d + 160.4. Put 4, z, -12 in ascending order.\nAnswer: -12, z, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.167 + 4.167. Which is the smallest value? (a) -0.01 (b) w (c) 1\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (140\/6)\/((-2)\/(-3)). Let y be (-1 - 0)*o\/(-7). Sort y, 3, 2\/5.\nAnswer: 2\/5, 3, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -m**3 + 8*m**2 - 6*m - 7. Let v be y(7). Suppose -4*o = 5*n - 30 + 5, -4*o = v. Solve -4*p - s = s, -n*p = -s for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 5*r + 10. Let x(z) = 2*z + 3. Suppose -4*q + 3*s = -59, 4*q + s = 5*q - 16. Let k(u) = q*x(u) - 4*y(u). Give k(5).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -15*h**2 + 72*h + 153. What is m(-2)?\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2.27 + 88.73. Let g = s - 93. Which is the nearest to g? (a) 2\/3 (b) 5\/6 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) be the first derivative of -h**4\/4 - 8*h**3\/3 + 4*h**2 - 6*h + 2. Let a be k(-9). Solve -a = 3*t - 0 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -23476085\/3 at least as big as -7825362?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 14.7 + -69.8. Let d = 870 + -925. Let a = d - c. What is the biggest value in a, 0.4, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-7)\/((-84)\/(-18))*(1 + -5). Let k be (-4)\/8*o*2\/(-2). Factor 17\/2*g**k - 20*g**2 + 0 + 8*g - g**4.\nAnswer: -g*(g - 4)**2*(2*g - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 174460 a multiple of 143?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (u - 1 + 1)*(3 - 4 - 2) + 63*u - u - 66*u + 7 as t*u + q and give t.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + -2*(0 + (5*((sqrt(1260) + sqrt(1260) + sqrt(1260)*4 - sqrt(35)) + sqrt(35))\/((sqrt(175) + sqrt(7))*3))**2).\nAnswer: -997","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 176 + -175. What is the closest to 0.1 in -1, v, -5?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*x - 81 = 15. Let p be -27*(x\/(-3) - -4). Suppose -p = -13*t + 10*t. List the prime factors of t.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 253 minutes before 7:16 PM?\nAnswer: 3:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 10587657?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*y = 2*y + 3*y - 8 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*d**2 - 5*d**2 + 4*d**2)*(-5*d**2 + 4*d**2 - d + 5*d).\nAnswer: 3*d**4 - 12*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00807086964 to four decimal places.\nAnswer: 0.0081","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -7 - -8. Let d(c) = -c**3 + 4*c**2 + c + 3. Let r be d(4). Suppose v + l = r. Solve 2*w - 4 - v = 0 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -21470501\/3?\nAnswer: -21470501\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*h + 1 + 3. Let w(z) = -z**3 - 4*z**2 - 2. Let l be w(-4). Let k be (h - -2)\/(l - 0). Is 4\/7 greater than k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 14130740 to the nearest integer?\nAnswer: 3759","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -37 greater than -7639072?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 2*b - 12 = -3*n, -12 = -3*n + 2*b. Suppose 5*x + 32 = n*i, 4*x + 16 = -0*x. What is the units digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -30 (b) -5 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/(-10))\/(2*2\/(-8)).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 226*b - 1305 - 5927 for b.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*n - 6*m = -186 + 154, -2*n - 4*m = -16 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 4208, 16811, 37814, 67217, 105020?\n\"Answer: 4200*l**2 + 3*l + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -v**2 - 6*v + 31. Let u be i(-9). What is the derivative of -32*m**u - 15 + 14 - 1 wrt m?\nAnswer: -128*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 2, e: 2, f: 8}. What is prob of picking 1 m and 1 f?\nAnswer: 8\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 95 and 336908?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 6*k + 27. Let o be p(-4). Which is smaller: -5 or o?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 0.1 (b) 0.81 (c) 1\/3 (d) -0.2 (e) 1\/7 (f) -418\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 24 + -43. Let s = m - -10. Let o = -8.93 - s. Which is the third smallest value? (a) 2 (b) -5 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 27 + 2?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3\/35 + 81\/280. Let c(l) = 2*l**3 - 4*l**2 + 5*l - 5. Let j be c(2). Suppose -2*u + 2*y + 2 = -6, -3*u + j*y + 18 = 0. Which is smaller: o or u?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qf when two letters picked without replacement from fqqfqqf.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let 0 - 225\/7*l**3 + 348\/7*l**4 - 114\/7*l**2 - 9\/7*l = 0. Calculate l.\nAnswer: -1\/4, -3\/29, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.02 in -2\/3, -1, 6, 254, 5, 28?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 - 11 = -2*g. Suppose 4*h - w = 43, 32 = 2*h - w - 3*w. Calculate the least common multiple of h and g.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-5)\/15)\/((-2)\/((-48)\/44)).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -0.02 or -101\/6085?\nAnswer: -101\/6085","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*a - 2*a - 11*a.\nAnswer: -6*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -3 + 1 - (0 + -1). Let h be (-5)\/(5\/(-2)) - c. Let l be -9*h\/(-9) - -1. Solve 0 = 2*y - l for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*3*(sqrt(25)\/sqrt(5) + 1)**2*-2.\nAnswer: -72 - 24*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (1\/3)\/((-2)\/(-18)). Suppose -37 + 25 = -j*y. Let c(p) = 4*p**2 + 7*p - 2. Is 9 a factor of c(y)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -6*a**6 + 14*a**5 - 12*a**4 + 1057*a**2.\nAnswer: -720*a**3 + 840*a**2 - 288*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dk when two letters picked without replacement from fqkdnnnndnjdf?\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3*p*w - 2*p*x - 5*p + 2*w**3*x - 271*w**3 - 31774*w**2*x - 3*x with respect to x.\nAnswer: -2*p + 2*w**3 - 31774*w**2 - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1171 - -207?\nAnswer: -762","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -564*c**2. Let b(u) = -315899*u. Determine b(d(a)).\nAnswer: 178167036*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 14 and 10297?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -m**3 + 6*m**2 + 1795*m - 588. What is j(-40)?\nAnswer: 1212","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -135*f - 91. Let h(u) = u**2. Give h(l(b)).\nAnswer: 18225*b**2 + 24570*b + 8281","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t = t - 32. Let b(n) = 2*n + 1. Let p be b(1). Is 10 a factor of -1 - t\/(3\/p)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from meeeemm. Give prob of picking 2 e and 1 m.\nAnswer: 18\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 475, 473, 471, 469?\nAnswer: 467","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -71482*o**3 - 158816*o**2 wrt o.\nAnswer: -428892","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of c**5 + 41104964*c**3 - 804*c**2 - 4632*c + 2.\nAnswer: 60*c**2 + 246629784","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14048.\nAnswer: 2, 439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - q**3 + 0)*(-28388*q**2 + 85184*q**2 - 42436*q**2).\nAnswer: -14360*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 3 + f - 3. Let k(b) = -5*b**2 + 2*b**2 - 25 + 25. Give c(k(o)).\nAnswer: -3*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10 - -2?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.023 + -4.023. Which is the second biggest value? (a) 5 (b) -3\/4 (c) n (d) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -230 > -423?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:42 AM and 6:20 PM?\nAnswer: 458","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 27015 to the power of 1\/3, to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -398193*o**4*y - 2*o**3*y**2 - 2065*o*y**2 - 16*y**2 wrt o?\nAnswer: -4778316*o**2*y - 12*o*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.5, 38\/377, 0.1?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -629? (a) 0.5 (b) -0.4 (c) 617\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 161075.\nAnswer: 5, 17, 379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 10\/(-14) + ((-48)\/(-21))\/(-8). Let f be (-2)\/(30\/(-20)*z). What is the second smallest value in f, -9, -1?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 30\/(-9)*97\/(9700\/260)?\nAnswer: -26\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -99*x - 5. Let k be v(-1). Let a = -4 - k. What is a rounded to the nearest ten?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 46\/5 of a century?\nAnswer: 11040","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 748*q + 3462. Let w(u) = 1497*u + 6927. Let m(z) = 18*b(z) - 10*w(z). Find the first derivative of m(v) wrt v.\nAnswer: -1506","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3967500071 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 26504 to the power of 1\/3, to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 21, -5, 2084, -1, 3, 0 in decreasing order.\nAnswer: 2084, 21, 3, 1, 0, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -140858, -563196, -1267090, -2252540?\nAnswer: -3519546","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -148112*n - 18. Let g(i) = -2*i. Calculate x(g(s)).\nAnswer: 296224*s - 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -71 - 61. Let b be (-1)\/(-3) + 176\/n. Is -25\/16 at most b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1051917?\nAnswer: 3, 29, 107, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 4298 divided by 2149\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 318 a factor of 8070522?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3285?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) be the third derivative of -k**5\/60 + 78*k**2 - k. Let m(d) be the third derivative of -71*d**5\/30 - 143*d**2. Determine m(z(v)).\nAnswer: -142*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -368*r - 1126*r**3 + 1089*r - 362*r - 359*r + 190*r**3.\nAnswer: -936*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (4 + 34\/(-8))\/(-1). Find k, given that 1\/2*k**2 - c*k**3 - 1\/4*k + 0 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -47\/26660 and 17\/10.\nAnswer: 26660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -267 at least as big as -264?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) be the third derivative of u**5\/60 - 2*u**2. Let n(i) = i**3 + 3*i**2 + 2*i - 2. Let v(r) = -4*a(r) + n(r). Determine v(2).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -602, -1215, -1828, -2441?\nAnswer: -3054","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n = -3*s + 4 - 14, -n - 19 = 4*s. Let y = -56 - s. Let w = -34 - y. Is w a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) be the first derivative of i**2 - 1\/3*i**3 - 3\/4*i**4 + 1\/6*i**6 + 1\/5*i**5 - 1 + 0*i. Find m, given that p(m) = 0.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -318 - -322. Let a(r) be the third derivative of 0 - 1\/42*r**s - r**2 + 0*r**3 + 0*r - 1\/210*r**5. Factor a(h).\nAnswer: -2*h*(h + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m - 2*z = 4*m + 15 - 5, 2*m + z + 2 = 0 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-6 - (0 - 17\/2))*-2. Let q be (-483)\/184 - ((c - -4) + -2). Let j = -22.8 + -3.2. What is the second smallest value in q, -1\/6, j?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 7, p: 6}. Give prob of sequence mp.\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((0 + sqrt(931) + 2)**2 + sqrt(931))*2 + -2*(1*sqrt(931) + 5))*-5*-3.\nAnswer: 840*sqrt(19) + 27900","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-14288)\/(-228) - 116)*(-2 + 8\/10).\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 101657886?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -10, 0.3, 1, -2168049?\nAnswer: -2168049","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 6 - 10 = 0. Let v be ((-4)\/3)\/((-4)\/18). Is (93\/v)\/(g\/(-2)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-5)\/(-1) - ((-2107)\/(-140) + -10). Put -2\/7, 3, p in increasing order.\nAnswer: -2\/7, p, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 113669059 and 46?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 11797 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 111 - 92. Solve 4*j = 16, 3*g = -5*j + 4 + n for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -s - 3*s + 44. Let n(z) = 13*z**2 - 9 + 0*z**2 - 11*z + 13. Let u(p) = 7*p**2 - 6*p + 2. Calculate s*u(b) - 6*n(b).\nAnswer: -b**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 738024623.\nAnswer: 7, 71, 307, 691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -6.0049269 from -4.\nAnswer: 2.0049269","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2539939 is divided by 26.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-698)\/12*123\/410. Let x = t + 73\/4. Which is the third biggest value? (a) 13 (b) 0.5 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 8*m**5 - 9*m**3 - 43*m**2 + 9*m. Let x(t) = -2*t**5 + 2*t**3 + 11*t**2 - 2*t. Let l(a) = -2*v(a) - 9*x(a). Find the third derivative of l(g) wrt g.\nAnswer: 120*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 26634823 to the nearest integer?\nAnswer: 299","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a millimeter in micrometers?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:04 PM and 9:52 PM?\nAnswer: 408","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (6 - 9) + -94 - -4 - (22 + -14)\nAnswer: -101","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 262 and 236129?\nAnswer: 61865798","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (220\/15)\/((-4)\/(-6)). Suppose -2*d = -4*d + b. What is the units digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1108787120 divided by -448720?\nAnswer: 2471","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 2382000 rounded to the nearest 100000?\nAnswer: 2400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*p + 4 = 4 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*u + 1 = 3*w + 11, 2*u - 15 = -w for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 47*n + 144 = 7*n - 56. Let w(u) = 2*u**3 + 11*u**2 + 8*u + 5. Give w(n).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 8*((-1)\/(-2) + -1). Let h = -62 + 57. Suppose -4*x + 1 = -7. Put x, u, h in increasing order.\nAnswer: h, u, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 61281, 122518, 183727, 244908, 306061?\nAnswer: 367186","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = y**2 + 7*y + 37. Let p(w) = w. Let u(b) = h(b) + 6*p(b). Let v be u(-9). Sort v, 0, 36 in decreasing order.\nAnswer: 36, v, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -n - 10. Let i be u(-8). Suppose -4*v = -2*t + 4, 0*v = 3*t - 2*v - 10. Let h(z) = -z**2 + t*z + 6*z - 22*z + 14*z + 2. Calculate h(i).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2442 - 54 + 9322 + 4476)*(-41*u + 41*u - 5*u**3) to c*u + d*u**3 + t*u**2 + a and give d.\nAnswer: -56510","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5.6 + 12.4. Let v = 0.2 + f. Let o = -6.6 + v. What is the closest to 1 in -2, o, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1440865161 to the nearest integer?\nAnswer: 1129","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -113271764, -113271765, -113271766?\n\"Answer: -h - 113271763","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1639*x - 1054 = -1670*x for x.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 244 is divided by 77?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Total of 2.062715 and -227.4097.\nAnswer: -225.346985","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*w**2 - 22*w**3 + 14*w**3 + 10*w**3 - w - 7*w**2 to z + i*w + q*w**2 + b*w**3 and give i.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 178, 759, 1720, 3055, 4758, 6823, 9244, 12015?\n\"Answer: -a**3 + 196*a**2 - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j = 3*j - 15. Suppose 2*o = 1 - j. Sort o, 1, -2 in decreasing order.\nAnswer: 1, o, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ffcn when four letters picked without replacement from nnncffcncn.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = q**3 + 6*q**2 - 8*q - 5. Let v be h(-7). Suppose v*c - 2*o = -o + 57, -5*c + 132 = o. What is the greatest common divisor of c and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence or when two letters picked without replacement from jorjor.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand -19*p**4 + 40*p - 40*p + (2 + 1 - 1)*(-3*p**4 + 2*p**4 + 0*p**4) + 2*p**4 + 5*p**4 - 5*p**4 - 6162*p + 6162*p - 8*p**4.\nAnswer: -27*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 293\/138 - 14309\/6762. Let o = j - -10618\/1127. Does o = 9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1591 and 111.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 298 minutes before 4:06 AM?\nAnswer: 11:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 49*m - 48*m = 3*p - 10, 4*p = 4*m + 8 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 2, b: 4, g: 2}. What is prob of picking 2 g?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(2)*-3 - ((sqrt(2) - sqrt(20)\/(sqrt(10)*-1)) + sqrt(2)))**2.\nAnswer: -24*sqrt(2) + 76","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/((-290)\/2697*1*1\/(-10)*6).\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12546.\nAnswer: 2, 3, 17, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1.8426 - 1.842580828. Round s to 6 decimal places.\nAnswer: 0.000019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -701 + 509. Let d = 201 + t. Solve 2*l + d = 4*b - 9, 0 = -3*b + 3*l + 15 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -26, 1, 3, -3 in descending order.\nAnswer: 3, 1, -2, -3, -26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express -27 - 446*w - 31 - 31 + 76*w + 90 in the form u*w + p and give u.\nAnswer: -370","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -518\/11 + 47. Suppose i + 5*u - 5 - 11 = 0, -u - 1 = -4*i. Suppose -2*z - i = 3. Sort z, -1.1, y in descending order.\nAnswer: y, -1.1, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 26, 8, 2.\nAnswer: 2, 8, 26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = o**2 - 2. Let h(k) = 2*k**2 - 3. Let t(n) = 3*b(n) - 2*h(n). Let q(a) = 2*a**2. What is q(t(s))?\nAnswer: 2*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-270135)\/(-30015)*(64\/(-99))\/4.\nAnswer: -16\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 795, -5, 3.\nAnswer: -5, 2, 3, 795","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u - 6 = 5*w, -4*u - w - 10 = -u. What is the lowest common multiple of ((-10)\/u)\/(9\/18) and 9?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -33010540 (base 6) in base 13?\nAnswer: -28484a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 7207166*d**3 - 6973621.\nAnswer: 21621498*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 462*s**2 - s**3 - 462*s**2 - 3*s**3.\nAnswer: -4*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -10983 * 466\nAnswer: -5118078","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 8*z + 4. Suppose -5*i = 0, -2*g - 21 = 5*i - 31. Let j(a) = 15*a + 7. Give g*w(r) - 3*j(r).\nAnswer: -5*r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a = -w - 15, -a + 2*w = 7*w - 29. Suppose -i - p = -4, a*i - 4*p = -p + 23. Solve 0 = -i*m + 9 - 4 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2)\/3 + (-66)\/(-18). Let a(q) = -q**3 + q**2 + 8*q - 2. Let h be a(k). Suppose -85 - 399 = -h*m. List the prime factors of m.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3251 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*u - 18 - 38 = -3*t, -u - 80 = -5*t - 36 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (38*f + 32*f - 26*f)*(4*f**2 + 0*f**2 - f**2) in the form x*f + w*f**2 + k + d*f**3 and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 81489720 rounded to the nearest ten thousand?\nAnswer: 81490000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 436*m - 1338*m + 1 - 34*m**2 + 448*m + 445*m.\nAnswer: -34*m**2 - 9*m + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -83032\/19 + 4370. Let h = 1.6 + -1.7. Which is the biggest value? (a) -0.03 (b) h (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 435.52656 minutes to weeks.\nAnswer: 0.043207","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -2914, -2899, -2874, -2833, -2770, -2679, -2554, -2389?\n\"Answer: a**3 - a**2 + 11*a - 2925","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -15*t**3 + t**2 + 5*t - 1. Let r(b) = -b**3 - b. Determine 4*r(j) + z(j).\nAnswer: -19*j**3 + j**2 + j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 136, 287, 456, 649, 872?\nAnswer: 1131","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 2, f: 14, i: 1}. Give prob of sequence iqqf.\nAnswer: 1\/2040","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1355 is divided by 151?\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 7 = 9. Suppose 0*m - f*m + 4*x - 12 = 0, -x + 1 = 0. Is m less than -3\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -k**2 + 4*k + 1. Let p be o(4). Suppose 0 = 5*c - h - 10, 3*h = c - 1 - p. Let q = 25 - c. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2448) - (3 + sqrt(2448) + -1) - (sqrt(2448) - (1 + sqrt(2448))*3))**2 + ((sqrt(2448) + 1)**2 + 4)*-3.\nAnswer: -24*sqrt(17) + 2434","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 0.3, 0.02, -0.3 in increasing order.\nAnswer: -3, -0.3, 0.02, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36*q + 4*u + 24 = -40*q, 2*q - u = 0 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 340048 to the power of 1\/2, to the nearest integer?\nAnswer: 583","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -115\/132 and -26\/1371.\nAnswer: 60324","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) be the first derivative of -8*y**3\/3 - 1. Let s(i) = -3*i**2. Let m(n) = 8*n**2. Let g(a) = -4*m(a) - 11*s(a). Give g(v(k)).\nAnswer: 64*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -a + 10. Let h be l(8). Suppose -24 = -h*g - 2*g. Let y be -6*(-2 + 1600012\/g). Round y to the nearest 1000000.\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + (-4 - -3) + -1.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 476 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -7210 divided by 1442?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -3*-0.187015013\nAnswer: 0.561045039","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -59*w**2 + 463. Let h(a) = 58*a. Calculate l(h(b)).\nAnswer: -198476*b**2 + 463","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 432*r - 434*r - 4*f = -5824, -r - 3*f = -2910. Which is greater: 2\/5 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 755?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -880 * -197.3\nAnswer: 173624","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*n = -4*c + 18, c - 103*n + 345 = -c + 563 for c.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) be the second derivative of 0*g**2 + 24*g + 0 + 0*g**3 - 22\/15*g**6 - 37\/12*g**4 + 0*g**5. Find the third derivative of o(r) wrt r.\nAnswer: -1056*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s = 10, -5*t = -2*s - 2*s + 23 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0 + -4. Let y be (-20)\/(-8) - 6\/s. Solve -m + 1 = -y for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (1803 + 0)\/((-10)\/(-30)). What is u rounded to the nearest 100?\nAnswer: 5400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 17047689?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 14\/(168\/36) + 0. What is the closest to -0.1 in -1\/14, c, 1\/2, -5?\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = 3*v + 4*c - 259, 4*c + 236 = 4*v. What is the greatest common divisor of v and 99?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -115c3d (base 16) to base 3\nAnswer: -2010210122222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5437?\nAnswer: 5437","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*g - 7*g - 9*g + 32*g.\nAnswer: 7*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13150972?\nAnswer: 2, 79, 41617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide 801 by -23.\nAnswer: -801\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 16, p: 2}. What is prob of picking 1 p and 2 d?\nAnswer: 5\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1170.388 + -28.\nAnswer: -1198.388","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 50 - -11236?\nAnswer: 11316","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -24.89947806 rounded to 2 dps?\nAnswer: -24.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4502.\nAnswer: 2, 2251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = y**3 - y**2 - 4. Let h(c) = c**2 + 4*c + 2. Let p be h(-3). Let r(l) be the first derivative of l**2\/2 + l + 1. Let d be r(p). Calculate o(d).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1764 and 72576.\nAnswer: 508032","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.3 in 2\/3, -27\/19, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t*t**30*t*t)\/(t\/t**(-1\/5)))\/(t**(-2\/5)\/t*t**(-1\/42)*t))**(14\/5) assuming t is positive.\nAnswer: t**(6767\/75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) be the third derivative of 0 + 2*v**2 - 1\/10*v**5 + 0*v - 1\/12*v**4 + 2\/3*v**3. Factor s(y).\nAnswer: -2*(y + 1)*(3*y - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -31.08 and -0.3.\nAnswer: 9.324","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.3459341094 - -16743.4366441094. Let t = z - 16743. Let d = t - 0.09. What is d rounded to 4 decimal places?\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12096 divided by -378?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5044?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -s**3 - 4*s**2 - 4*s - 4. Let v be w(-3). Let o = 11 + 14. Let j = o + v. Is 9 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:13 PM and 11:26 PM?\nAnswer: 373","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - 4*h - 24 = 0, 135 = -3*y - 4*h + 39. Is 34602\/24 + 27\/y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find o, given that -4*o**5 - 25772*o**4 - 41136812*o**3 + 1209667676*o**2 - 8173747680*o - 9424526400 = 0.\nAnswer: -3236, -1, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -308*w - 13. Let d be m(-6). Suppose 2*i = 3*i - d. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is cd293 + 2?\nAnswer: cd295","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = y**3 + 7*y**2 + 18*y + 42. Give f(-5).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*a + 2*x - 11, 4*a - 19 = a + 5*x for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vdx when three letters picked without replacement from dvxbybvdbbvbbbobxb?\nAnswer: 1\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 11 and 139.\nAnswer: 1529","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 28 and 244?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*o - v + 1605 = o - 2*o + 1566, -3*o = -6*v + 3 for o.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 52.1 - 52. Let a = -324 - -320. Let k = -4 - -1. What is the closest to k in a, 5, f?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 831 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 133885 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -106*c - 24 - 33 + 80 - 23.\nAnswer: -106*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -2*o + 16. Let q be m(7). Let w(x) = -x**3 + 4*x - 4 - 3 - 4 + 5 + 3*x**q. Calculate w(4).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -48540 less than or equal to -49313?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -108, -47 in descending order.\nAnswer: -1, -47, -108","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 98\/69, 1.04, -0.05?\nAnswer: 1.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 5560 and 8131500.\nAnswer: 16263000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 15632386 to the power of 1\/4, to the nearest integer?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1311 is divided by 640?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2998 = 55*y + 2338 for y.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-30)\/9 - -3 - 24\/(-18). Which is the closest to -20? (a) -0.2 (b) f (c) 85\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 154 = 22. Suppose -4*j = -5*t + 6*t - h, 0 = 5*j + 5*t - 40. What is the highest common divisor of j and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -11\/5 - -92\/35. Suppose x + 15 = -8*f + 3*f, 0 = 4*f - 5*x - 17. What is the closest to g in 5, f, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 140857856 is divided by 402451?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 257, 243, 205, 131, 9, -173, -427?\n\"Answer: -2*a**3 + 259","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -18.6 - -20.69. Let i = -1.8 + t. What is i rounded to one dp?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1986 + -1983. Let r(j) = -j**2 - 4*j + 5. Let i be r(-4). Solve -14 = -t*q - i for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = x + 2. Suppose u = q - 13, x*u = -0*q - q + 1. Calculate the smallest common multiple of q and 7.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -66646 = 2*d + 8*h - 66584, -2*h - 37 = 3*d - 4*h for d.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*-3*(sqrt(425)*-3 + -2 + sqrt(425)).\nAnswer: -90*sqrt(17) - 18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -2513 (b) -0.5 (c) -27 (d) 4 (e) 20\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -370622 - -370619. Let c(p) be the third derivative of p**6\/120 + p**5\/60 + 2*p**3\/3 + p**2. What is c(k)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence esn when three letters picked without replacement from yencetst?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -73\/196 and -93\/3296342?\nAnswer: 46148788","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 77\/10 and 61\/33716.\nAnswer: 168580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s = -3*s + 4. Solve -x = s*j + 4*x - 20, 3*j + 2*x - 8 = 0 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -170 + 208 + (-12 - -51) + -38\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: ((-602)\/(-430))\/((-4)\/10)\nAnswer: -7\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.7 + -0.1349?\nAnswer: 3.5651","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1333304887 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 56*j - 57*j + 2*g - 5 = 0, -4*j + 6*g = -11*j + 2*j + 23 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (-13*r + 52*r + 23*r)*(r + 0 + 0) as w + z*r + y*r**2 and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -3*u - 11. Let v(p) = 1 + 25*p + 17*p - 41*p. Let h(b) = -f(b) - 4*v(b). Let g(s) = -s + 4. Let t(c) = 4*c - 1. Let j be t(-1). Give j*g(r) + 3*h(r).\nAnswer: 2*r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1384.\nAnswer: 2, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 9 - 3. Suppose y = j*y - 1115. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -240 - 21*p**2 + 240.\nAnswer: -21*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence efle when four letters picked without replacement from eeplefelpefpflffefl?\nAnswer: 5\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = m**3 - 8*m**2 - 9*m + 2. Let z be a(9). Let s = z + -2. Suppose p + s - 1 = 0, r - 3*p - 5 = 0. Calculate the lowest common multiple of 22 and r.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange x**3 - 11*x + 11*x + (-3*x + 2*x + 2*x)*(10*x - 10*x + 10*x**2) to m*x**2 + v*x + a*x**3 + b and give a.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 344 and 108?\nAnswer: 9288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in sixteen sevenths of a week?\nAnswer: 23040","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 - 3 + o + 3 + (0 - 1 + 3)*(224*o + 489*o + 3720*o) in the form k*o + j and give k.\nAnswer: 8867","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 9583?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) be the third derivative of h**4\/8 + 3*h**2. Let y(g) = 3*g**2. Give o(y(p)).\nAnswer: 9*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 5414542349?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2420837?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 7300 and 400?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 4872365 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -9 at most 1478041?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -526 + 528. Let f(b) = -4708*b - 3 + 6 + 2*b**v + 4711*b. Determine f(-3).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14484 divided by 1?\nAnswer: 14484","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 2095882049 to the nearest integer?\nAnswer: 214","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*i + 1 = 55. Suppose -i*k + 167000 = -5*k. Suppose 0*t + 10*t = k. Round t to the nearest one thousand.\nAnswer: 17000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -381 + 2059 - 560 + 2*u**3 - 3*u**3 - 557 - 561.\nAnswer: -u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = f**3 - 33*f**2 - 4*f - 4. Give g(33).\nAnswer: -136","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*p**6 - 1380*p**2 wrt p.\nAnswer: 360*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) be the second derivative of x**4\/48 - 79*x**3\/24 - 10*x**2 - 572*x. Factor q(w).\nAnswer: (w - 80)*(w + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 0 and 96\/155 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.347861 years in centuries?\nAnswer: 0.03347861","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -70 - -85. What is the nearest to 2 in v, -3, -5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -1\/6, 3\/122, 4, 7\/4, -1839?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i - 1201 = -248*k, -341 = -4*k - 4*i - 373 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in seventy-one fifths of a millennium?\nAnswer: 14200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 3*s + 17. Suppose 0 = -x + 16 + 8. Let n be (x\/(-10))\/(2\/(-10)). Is y(n) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) be the first derivative of z**3\/3 - 393*z**2\/2 - 369. Let j(b) = b. Calculate s(j(g)).\nAnswer: g**2 - 393*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 24.327 - 24.355. Sort 2, m, -1\/6.\nAnswer: -1\/6, m, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 20*j + 188. Let t be o(-9). Solve 4*n + 16 = 2*u, -t*n + 13*n + u = -27 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*s = r - 11, -2*s + 8 = 5*r + 4 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8*w + 0*w + w + 7*w to the form a*w + s and give a.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 13659925 to the power of 1\/5, to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 23556 and 468?\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 0.16 (b) -4 (c) 77\/6 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 23 - (-65 + 31 + 92)\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:56 AM and 5:46 AM?\nAnswer: 110","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -19 + 28. Let r be (-16)\/18 - (-2)\/a. Is r at least -1\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 21539?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(2 + 4 + sqrt(1088) + (sqrt(1088) - 1*sqrt(1088)) + sqrt(1088) + -3 + 0)*-2*-5)**2.\nAnswer: 240000*sqrt(17) + 10902500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*f - 6*f + 128. Suppose -4*d = -f + 4. Suppose -d = 2*q - 5*q. 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 the third derivative of 35*j**5 - j**4 - 980*j**3 + 107729*j**2 + 3*j + 9 wrt j?\nAnswer: 2100*j**2 - 24*j - 5880","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + 0 + 27 - (-7 + 62 + -62)?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 146.02 take away 5?\nAnswer: 141.02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 + 6 = -2*t. Let p be 3 + t + 319 + 2. Suppose 4*z + 45 - 185 = -2*j, p = 5*j + 3*z. What are the prime factors of j?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 48 + -36. What is the common denominator of 108\/33 - 9\/x and -87\/20?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-105)\/9 - (7\/3 - 3). Let f(l) = -l**3 - 10*l**2 + 6*l - 16. What is f(q)?\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(3 + -4 + (sqrt(119) + (sqrt(119)*3*6 - sqrt(119)))\/sqrt(7) + -4).\nAnswer: -30 + 108*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = q**3 + 8*q**2 - 11*q - 2. Let n be w(-9). Solve n = 4*z + 5*d, 4*d = -2*z - d + 8 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -11*o**2. Let q(z) = -4*z**2. Let j(g) = g**3 - 10*g**2 + 10*g - 6. Let t be j(9). Let c(f) = t*y(f) - 8*q(f). Factor c(u).\nAnswer: -u**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) be the first derivative of 5\/3*m**3 + 0*m**2 - 3*m - 4. Let v(i) = -6*i**2 + 4. Let a(c) = 4*o(c) + 3*v(c). Let l(x) = 10*x. Determine l(a(f)).\nAnswer: 20*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-2)\/42)\/(84\/49))\/((63\/(-21))\/117)?\nAnswer: 13\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 279 and 51801.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 11*v + 43. What is the remainder when l(12) is divided by 44?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2 (b) 0.1 (c) 2\/5 (d) -199\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 375*b + 6374. Determine k(-17).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -f**5 + 183*f**3 - 8*f + 11 wrt f.\nAnswer: -20*f**3 + 1098*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -46c + 5?\nAnswer: -467","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 4*l**3 + 2*l**2 + 2*l. Let a be n(-1). List the prime factors of -1 + 1 - 82*(-5 - a).\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*h + 2*b + 200, -h - 4*b = -5*h + 192. Is 13 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1\/21)\/((425\/(-75))\/(-17))\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -544 + 554. What is the remainder when 68 is divided by w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2.459 - 1.459. Which is the third biggest value? (a) f (b) 2 (c) 0.3 (d) 26\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -z. Let q(o) = -2*o. Let i(a) = 4*q(a) - 9*v(a). Suppose 0 = 4*d + 5*m - 50, 5*m + 48 = 6*d + 98. Determine i(d).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 36095 is divided by 3608?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/8 of a microgram in nanograms?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4416\/11 + 8773\/22. Let s = 4808 - 76985\/16. What is the common denominator of s and b?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 490\/(-7448)*(-974)\/(-20) - -3. Put -2\/13, 4, x in decreasing order.\nAnswer: 4, -2\/13, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 7*d - 4. Let f(v) = -6*v + 4. Let j(x) = -6*f(x) - 5*w(x). What is j(0)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -29.54 - -30. Let w = s - 1.46. Sort w, 4, -1\/2, -25.\nAnswer: -25, w, -1\/2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25 minutes after 6:57 AM?\nAnswer: 7:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 520 = 88. Let p(z) = 3*z + 56. Let o be p(-8). Suppose u*x = 150*x + o. What is the remainder when 75 is divided by x?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -62 = -38*k - 62 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/(-5) - (1 + (-104)\/20)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + 5*sqrt(76)\/sqrt(4)*-3 + -4 + -3)**2.\nAnswer: 270*sqrt(19) + 4356","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -4711332 divided by 63\nAnswer: -1570444\/21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -53*i + 41246 = -15570. What is the tens digit of i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 251 is divided by 49?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -1622*s**3 + 2*s**2 + 3*s + 1. Let h(z) = -z**2 - 10*z - 26. Let r be h(-4). Is o(r) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -175*s**3 + 14*s**3 + 9 - 2*s**4 - 1 - 8*s**2 wrt s.\nAnswer: -48*s - 966","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -31466 - -31620. Which is the third smallest value? (a) l (b) 28 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -18*b - 5*b**3 - 48 - 23*b**2 + 5*b**3 - b + b**3. Let y be s(24). Let h = 48 - 30. Calculate the highest common factor of y and h.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -68*t - 746. Let f be k(-11). Solve 5*r + 12 = f*d + 2*r, 0 = -3*r for d.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 788122861 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1\/3, 1\/11, -0.0145, 28, 0.2?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1511 a factor of 223970997?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -a**3 - 5*a**2 - 4*a - 2. What is m(-3)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(-8)*(-344)\/(-516)*12\/(-19)?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xtx when three letters picked without replacement from {y: 4, h: 1, t: 5, q: 1, w: 2, x: 2}.\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) be the third derivative of 127*h**6\/40 + 392*h**3 + 3*h**2 - 383. Find the first derivative of l(a) wrt a.\nAnswer: 1143*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -x + 6. Let d(c) = -c + 1. Let m(o) = -2*d(o) + y(o). Let t = -69 + 74. Calculate m(t).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -35 - -40. Suppose 47 = 2*m + g, o*m + g = 2*m + 69. Solve -3*i = 2*a + 3*a - m, 2*a - 5*i = -16 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 605 minutes after 2:44 PM?\nAnswer: 12:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -2*k + 1. Let t be (-3)\/(-5) + (-22)\/(-55). Let w be n(t). Let q = 3 - w. Solve 3*x - 2*h + 0*h = 8, 0 = -2*x + 2*h + q for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3252 divided by 20?\nAnswer: -813\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -161327 + 160420.83. Round z to the nearest one hundred.\nAnswer: -900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*d**4*s + 98*d**3*j - 2*d**3*s + 2*d**2*j*s + 3*d**2*j + 20*s wrt d.\nAnswer: 48*d*s + 588*j - 12*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -6*m**2*u + 2*m**2 - 1276*m*u + 152505*u wrt m.\nAnswer: -12*m*u + 4*m - 1276*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 826381 to the nearest integer?\nAnswer: 909","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7062 - 6530 = 28*n. Calculate the remainder when 97 is divided by n.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 534 and 152340.\nAnswer: 13558260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 = 4*j + 38 for j.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -490*i**2. Let k(q) = q + 12. Let p(f) = 2*f + 36. Let j(z) = -3*k(z) + p(z). Give l(j(d)).\nAnswer: -490*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**(-34)*h*h**(2\/87) assuming h is positive.\nAnswer: h**(-2869\/87)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4 + 9. Let t = 0.20711 + -0.30711. What is the second biggest value in -1\/2, 3\/4, l, t?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 40 and 40.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 204 + -199. Calculate the remainder when 84 is divided by 34*(-22)\/(-55)*h\/4.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -15*d + 14. What is t(1)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 divided by -963?\nAnswer: 4\/963","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is m in m**4 - 17*m**3 - 90*m**2 + 2900*m - 13000 = 0?\nAnswer: -13, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 432465689 to the nearest integer?\nAnswer: 756","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -45*r + 0 - 5*r**2 + 7 - 19*r + 2*r.\nAnswer: -5*r**2 - 62*r + 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 10005 a multiple of 115?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 365465*u**3 + 82*u - 796.\nAnswer: 2192790*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 0.226 * -14\nAnswer: -3.164","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*c + 12*c + 9*c)*(17 - 25 + 13) + (-4 + 4 + 5*c)*(1 + 5 - 5).\nAnswer: 120*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -497342864*a**3*h**3 - 5385250*a**3*h**2 + 7*a*h**2 - 3*h wrt h.\nAnswer: -2984057184*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0 + -0.2. Let h = 8 + -8. Let x = -27\/13 - -217\/117. Which is the second biggest value? (a) i (b) h (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2, -2\/51, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a milligram in micrograms?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 592 minutes before 7:51 AM?\nAnswer: 9:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j - 6*o - 6 = -10*o, 3*j - 5*o + 9 = 0 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6d32 (base 15) to base 6.\nAnswer: -255302","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 370 = 78. Let m be (1 + r)\/(-7 + 8). Suppose 0 = 3*h - m - 175. List the prime factors of h.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -43.8 less than -0.5?\nAnswer: 43.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2798482 is divided by 430?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide -6 by -15331412.\nAnswer: 3\/7665706","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:46 AM and 12:50 PM?\nAnswer: 244","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (12 - -2) + -3 - 10?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 25 + -26.8. Let z = n + 3.8. What is the second smallest value in z, -1, 5?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is v in v**4\/6 - 28*v**3\/3 + 71*v**2\/2 - 131*v\/3 + 52\/3 = 0?\nAnswer: 1, 2, 52","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((l\/(l**4*l)*l)\/l)\/l)\/l)**(-1)\/(l**(-4)*l**(2\/39)) assuming l is positive.\nAnswer: l**(388\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*o + 15, -4*h - 4*o + 5 = -o. Suppose 0 = -h*w + 3*a - 15, -w + 5*a - 11 = 14. Suppose w = -3*s - 0*s + 30. Solve -s + 0 = -5*b for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + 0 - (14 - 19)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -w**2 + 3*w + 68. Calculate a(13).\nAnswer: -62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 46499?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Add 1030774.7 and 34108862.\nAnswer: 35139636.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 255 divide 323698020?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -2*h - x, 2*x + 17 = h - x. Solve -16 = -3*m + 4*j + 4, -24 = -5*m + h*j for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 7*c + 238. What is q(-35)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -320 = 15*v - 31*v. Calculate the remainder when v is divided by 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 1, p: 1, x: 1, t: 1, e: 1}. Give prob of sequence px.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:02 PM and 8:11 PM?\nAnswer: 69","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.092 + 0.062. What is the fourth smallest value in -5\/3, -2, k, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*d**2 - 393 + 393 + d**2.\nAnswer: d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17 = 3*x + k, 0 = -2*x + x - 2*k - 14 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 356250 is divided by 118356?\nAnswer: 1182","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 343*k - 1649. Determine w(6).\nAnswer: 409","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -118 = -5*s + 32. Calculate the highest common factor of s and 270.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 579 = 6*n + 201. What are the prime factors of -1 + 45\/n - 5728\/(-7)?\nAnswer: 2, 409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xgvjxogxjgjwxx. What is prob of picking 3 x?\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.75894 + -0.03394. Round u to two dps.\nAnswer: 0.73","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 353 smaller than 349?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -3 * -5.42104\nAnswer: 16.26312","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 1, 9266, 24 in increasing order.\nAnswer: -1, 1, 24, 9266","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*2*sqrt(3000))\/(sqrt(864)*-1*1).\nAnswer: 5*sqrt(5)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + i + 4*i = -5, -3*i - 3 = s. Suppose 3*q - 82 - 53 = s. Let d be 8\/36 - (-530)\/q. Calculate the greatest common factor of d and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + -35 + 15 - (5 - -6).\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 212 = 4*z - 2*y, 4*z + 2*y - 232 = -y. What is the units digit of z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(10) - sqrt(60)\/sqrt(6)) + sqrt(10) - sqrt(10))\/sqrt(5)*-3 + (6*sqrt(24) + sqrt(6))\/sqrt(3).\nAnswer: 13*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.01149 less than -59?\nAnswer: -56.98851","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 4 = 0, -2*x - x = -p + 17. Let a(j) = 2*j**3 - 10*j**2 + 8*j - 5. Is 7 a factor of a(p)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 71 + 255764*z - 34 - 255764*z - 37 - 4*z**3.\nAnswer: -4*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*j + 6, -3*l = -75*j + 76*j - 3248. Does 7 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -13113 (base 4) to base 16\nAnswer: -1d7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v, 2 k, and 1 q when four letters picked without replacement from kwvqqwvwvqwqvk.\nAnswer: 16\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2.01 + -0.01. Let i = -0.8 - 0.2. Let s = i - -2. What is the closest to 2\/7 in h, s, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2189 or -234378\/107?\nAnswer: -2189","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 2, -4, -5, -36 in descending order.\nAnswer: 3, 2, -4, -5, -36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 50486.78 micrograms to nanograms.\nAnswer: 50486780","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 143390 - 94819 = -9635*w + 520686 for w.\nAnswer: 49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2333402131 (base 5) in base 14?\nAnswer: 9dbb02","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-12)\/8)\/((-2)\/8). Calculate the remainder when (-3 + -9)*(-3)\/k is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9494 a multiple of 101?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -25, -36, -53, -76, -105?\n\"Answer: -3*z**2 - 2*z - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.2477 * -3.\nAnswer: 0.7431","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 2 p when three letters picked without replacement from {p: 13, x: 6}.\nAnswer: 156\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 126766 (base 8) in base 9?\nAnswer: 67072","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 193835429 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1516414 is divided by 505469.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r*r**(-12))\/r**(-15))**(14\/11))**(3\/16) assuming r is positive.\nAnswer: r**(21\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 2*v = -z - 1, -4 = -2*v + z. Let c = 6 - v. Let k be (-29)\/(-4) + (-2)\/8. Solve -k*s + 4 = 2*j - 3*s, 5*j - 23 = c*s for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2315?\nAnswer: 5, 463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 2*j - 18871*j**2 - 1 + 5*j**3 + 18871*j**2.\nAnswer: 5*j**3 + 2*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.74 plus 94663479522?\nAnswer: 94663479522.74","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -y**2\/9 + 74*y\/3 - 440\/9.\nAnswer: -(y - 220)*(y - 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2024?\nAnswer: 2, 11, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 399 + -126. Let p = 273.119 - j. What is p rounded to two dps?\nAnswer: 0.12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 88 minutes before 3:35 AM?\nAnswer: 2:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -85.4 + 78. Let h = m + -1.6. Let j = -8.5 - h. Which is the biggest value? (a) 1 (b) 4 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 39766\/(-17700) + 3 + 146\/(-50) + 2?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 266 to the power of 1\/4, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 392\/(-110) - ((-68757)\/(-615) + -111)?\nAnswer: -48\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:37 PM and 6:25 AM?\nAnswer: 468","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = -k + 4, 5 = k + 4*x - 5. Suppose 0 = k*r - 179 - 531. Suppose 0 = -4*w + r - 47. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = j**2 + j - 2. Let n be s(0). Let h = -4 + n. Let p(f) = f + 9. Is p(h) even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -11*y + 2197 - 2186 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -m**3 + 5*m**2 + 14*m + 3. Let i be r(7). Suppose 422 = i*u - 2*u. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0 + -2. Let x = 5 + f. Put -2\/7, x, 0.1 in decreasing order.\nAnswer: x, 0.1, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = 2*v + 5, 3*v - 1 = 4*v. Does 18 divide q + -4 - 19\/(-1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.6 and -117.5.\nAnswer: 70.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*l - 168 + 28. What is the tens digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6 (base 16) to base 9\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) be the second derivative of 4*t**5\/5 + t**4\/6 + t**3\/2 + 38*t. Let u be d(-1). Is u > -17?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -1552*h**2 + 522*h**2 + 516*h**2 + 516*h**2. Let n(c) = 2*c + 37. Determine n(y(p)).\nAnswer: 4*p**2 + 37","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 1138319, 1138382, 1138455, 1138544, 1138655, 1138794, 1138967?\n\"Answer: f**3 - f**2 + 59*f + 1138260","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8\/(-12))\/(16\/(-12)).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -247 or -1986790?\nAnswer: -1986790","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**0\/n**(-3)*(n*n**(-2))**(1\/8)*(n**(-1\/2)\/n**(-2\/5))\/(n**0*n*n**(-6)) assuming n is positive.\nAnswer: n**(311\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 2*r**3 - 32*r**2 + 72*r - 38. What are the prime factors of n(18)?\nAnswer: 2, 1277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(76)*-5 + (-2*sqrt(76) - sqrt(76))*-6)*-2)\/(-4*sqrt(28)\/sqrt(7) - (sqrt(64)\/sqrt(2))\/sqrt(8)).\nAnswer: 26*sqrt(19)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i = -i. Suppose -2*f = -7 - 3, -b + f - 25 = i. Does 6 divide (-7 - -5)*b\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i - 5*l = -1 - 1, -4*l - 8 = 0. Factor -z**4 + 5*z**3 - 3*z**3 + i*z**4 - 2*z**4 + z**2.\nAnswer: z**2*(z + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 0*q + 11*q**2 + 17 - 9*q - q**3 - 5 - 2*q. Let v be o(10). Suppose -5*s = -v*g - 481, s - 3*g - 285 = -2*s. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:57 AM and 10:45 PM?\nAnswer: 708","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 12 = -s, 3*s - 5*r = -32 - 4. Which is bigger: s or -15?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2334 less than -744.41838?\nAnswer: -3078.41838","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36 = -103*c + 101*c. Solve 4*s = 6 - c for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*b = 8*b - 1554. Let u = 123 - b. What is the remainder when u is divided by 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve k + 5*a - 150525 = -0*a - 150507, -4*k + 27 = 5*a for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -p**3 - 13*p**2 + 12*p + 21. Does 13 divide v(-14)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 226223751 a multiple of 1807?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -127, 2\/9, 1\/7, 0, -0.5, -1.7 in descending order.\nAnswer: 2\/9, 1\/7, 0, -0.5, -1.7, -127","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/(p\/p**(1\/2)))\/p*p)**(-2\/75)*p*p\/((p\/((p*p**(2\/3)\/p)\/p)*p)\/p*p)*p*p\/p**3*p**(1\/4)\/(p\/p**(-1))*(((p**(2\/3)*p)\/p)\/p)**8 assuming p is positive.\nAnswer: p**(-1729\/300)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = p**3 - 31*p**2 - 20*p - 57. Let d be w(30). Let g = d + 2459. What is g rounded to the nearest one hundred?\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 750719, 750717, 750715, 750713, 750711?\nAnswer: 750709","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 346 + -246. Suppose -5*c = -85 + n. What is the third biggest value in 4, -0.1, 3, c?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 23*k + 28*k - 75*k + 2*k**5 wrt k.\nAnswer: 40*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*s**2 + 329995*s.\nAnswer: -5*s*(s - 65999)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ongo when four letters picked without replacement from nooogncucct?\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 7*m + 13 + 0 - 4*m + 5. What is the remainder when t(7) is divided by 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12679380 a multiple of 435?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 780445791 is divided by 68?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -q**3 - 6*q**2 - 5*q + 3. Let r(k) = k**2 + 7*k + 5. Let a be r(-5). Let m be c(a). Suppose 0*s - 126 = -m*s. What is the tens digit of s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -12802489\/16 or -800157?\nAnswer: -12802489\/16","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1606.238 rounded to the nearest ten?\nAnswer: 1610","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -1916*d. Let l(b) = -6*b. Determine -20*l(n) + z(n).\nAnswer: -1796*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4855624 and 75576?\nAnswer: 536","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 8\/3 in -0.7, -3, 5, 260, -2\/3, 1\/9?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -12 + 35*h**3 + 2*h**2 - 29*h**3 + 73*h**3 wrt h?\nAnswer: 474","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-30)\/9*(0 - (-9)\/(-5)). What is the second derivative of 14*q**2 + 7*q**2 - c*q**2 - q - 13*q wrt q?\nAnswer: 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*q**4 + 7*q**4 + 2*q**4 + 9 - 3*q**4 - 9 + q + 2*q**4 - q + (2*q**2 + 0*q**2 - 4*q**2)*(0*q + q**2 + 0*q) - 5*q**2 + 5*q**2 - 2*q**4.\nAnswer: 10*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r when two letters picked without replacement from {w: 2, r: 9}.\nAnswer: 36\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3091 + 2763 - 5882 = 2070*t for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9356 is divided by 283.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide 232116 by 116.\nAnswer: 2001","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*m - 10 = 46 for m.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 16.05 + -16. Let f = 0.05 - b. What is the closest to 2\/7 in 0.5, f, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 - 3 = 3*v - 2*i, 3*i = 4*v. Suppose -b + 3 = z, -4*b = -z - v*z - 36. Suppose -2*r + b = d, 3*r + 9 = -4*d + 6*r. Is 2 < d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 8788 + -0.00904.\nAnswer: 8787.99096","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 451747 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -1924242 + -0.1?\nAnswer: -1924242.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - n + 17 = -77, -2*n = -d - 17. Let j = -18 - d. Suppose 102*k - 36 = 90*k. Solve -3*m = -k*u + 7 - j, m - 23 = -4*u for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3232 (base 4) in base 12?\nAnswer: -17a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1087547249?\nAnswer: 23, 47284663","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + -6*(-1 + (sqrt(13) - sqrt(325) - sqrt(13)))**2 - (0 + sqrt(1053) + -2 + (sqrt(1053) - (sqrt(1053) + 1)) + 3)**2.\nAnswer: -3005 - 60*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express 42*f - 12*f - 20*f as u + m*f and give m.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2952.41 and -11.\nAnswer: -32476.51","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = r**2 - 102*r + 2 + 107*r - 5. Give s(-6).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:34 AM and 4:12 AM?\nAnswer: 158","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + sqrt(605) + (((sqrt(605) - (sqrt(605) - sqrt(605)*2))**2 - sqrt(605))*3 - sqrt(605)) + 1.\nAnswer: -33*sqrt(5) + 7260","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -71460*d*x**6 + 59*d*x**2 - 101*d wrt x.\nAnswer: -8575200*d*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 15\/(-6 - -1) - 69\/(-21)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3096047 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 23 + -12. Calculate the remainder when 31*(-4 + 3)*-1 is divided by k.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 142889 a multiple of 313?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 3*k. Let h(a) be the third derivative of a**5\/60 - 4*a**2 + 5*a. Calculate t(h(q)).\nAnswer: 3*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -0.13 * -158\nAnswer: 20.54","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -11000 (base 2) in base 13?\nAnswer: -1b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 5438990231 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-17)*k)\/k**(-2\/21) assuming k is positive.\nAnswer: k**(-334\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 5*x - 20. Let z be s(5). Suppose 5*g = -5*t + 3*g + 714, 4*t + z*g - 561 = 0. Is 16 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 20\/((-24)\/6)*1\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -37, 15 in increasing order.\nAnswer: -37, -3, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i\/i**(-5)*i*i*i**7)**(-8\/3)\/(i**(-4)\/i**(-2\/15))**(1\/2) assuming i is positive.\nAnswer: i**(-611\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5938?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gis when three letters picked without replacement from {s: 2, g: 1, i: 4}.\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -28*s - 116. Let v(t) = -8*t + 13. What is w(v(q))?\nAnswer: 224*q - 480","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -2*o**3 - 4*o**2 + 11*o. Let q(m) = 1. Let n(s) = k(s) + 4*q(s). List the prime factors of n(-6).\nAnswer: 2, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 = 13*u - 10 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 24863041 and 2744.\nAnswer: 343","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 491 minutes before 8:13 AM?\nAnswer: 12:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 5*b**2 + 1. Let m be s(-1). Let k be 2\/m - (-8)\/12. What is the remainder when 35 is divided by (12 - 3 - 7) + k*23?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1*5\/(-30)*3\/(-2).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h = -2*h - 70000. What is h rounded to the nearest 100000?\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 3*i + 1. Give p(3).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -36.4 + 36.45. Which is the closest to 1? (a) z (b) -8 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 922, 3872, 8802, 15718, 24626, 35532, 48442?\n\"Answer: u**3 + 984*u**2 - 9*u - 54","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.01618 times 15228?\nAnswer: 246.38904","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -92*j**2. Let w(k) be the third derivative of -k**4\/12 - 357*k**2. What is m(w(t))?\nAnswer: -368*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*d, -2*d + 0*d = p + 3. Which is the second smallest value? (a) p (b) 3\/7 (c) -8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = z**2 + 4. Let y be k(0). Suppose y*j - 20 = -2*c, 3 = -5*j + 3*c + 6. Let x = -1 + j. Solve -2 = -x*f - 10 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -11272963*a**2 - 44*a + 168246 wrt a.\nAnswer: -22545926","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 918916380 rounded to the nearest 100000?\nAnswer: 918900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.5 and -3145.\nAnswer: -3144.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 5*x**3 - 10*x**2 + 4*x + 4. What are the prime factors of p(2)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 3712*h**3 + 10*h**2 - 9*h. Is i(1) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 87\/3950 and 29\/3950.\nAnswer: 3950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 99386*v**6 + v**2 + 3450*v + 3*v**2 - 4*v**2 - 97387*v**6 - v**2 wrt v?\nAnswer: 239880*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2068799 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 5151437713 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - -11) + -12 + -31 + 55 + -11.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 75\/248 and 93\/3947444.\nAnswer: 244741528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 15801 - (-17 - -12)*(2 - (-96)\/(-30)) a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 104259955?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*f + 9*f + 0*f)*(-2 - f + 1 + 0*f).\nAnswer: -15*f**2 - 15*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = -k + 2. Let z = k - 5. Let t = z + 14. List the prime factors of t.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 3, -13, 16, 0?\nAnswer: 16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**24\/g*(g*g\/(g\/(g**10\/g))*g)\/g*g)\/((g*g\/(g**5*g))\/g*g**(-17\/5)) assuming g is positive.\nAnswer: g**(212\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 3*l**3 + l. Let j be c(1). Let a be 13\/(65\/6)*(-10)\/(-3). Let o be (-4)\/(-8) + (-2 - -2) + a. Which is bigger: j or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -7 + 11. Suppose -5*q + 30 = 5*r, q + 3*r + 2*r - 22 = 0. Sort q, g, 1 in decreasing order.\nAnswer: g, q, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2 - 3. Let g be 3*(-2)\/36*5. Which is the nearest to 0.1? (a) g (b) 1 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1702230?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 9*x - 222. Let m be p(25). Solve -2*r - 2 = -2*o, 3*o + 3*r - m + 0 = 0 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-12)\/(-6))\/(-3*(-2)\/(-18))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x + 8 = -2, 405*x - 410*x + 60 = -7*n for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.1 and -311.\nAnswer: 31.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*p - 10*p - 9*p)*(-p**2 - 3*p**2 + 2*p - p) - 10*p**3 + 8*p**3 + 5*p**3.\nAnswer: 55*p**3 - 13*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 76*z + 26*z**3 + 91*z**3 - 76*z + 1283*z**3 + (6 - 6 - 16*z**2)*(-z - 3*z + 3*z) + 3*z**3 - 6*z**3 + 2*z**3 to t*z + c + m*z**2 + f*z**3 and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.1 (b) 538 (c) -2165\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -15 - -9. Let q(g) = -g**3 + g + 5. Let k be q(0). Sort 4, m, k.\nAnswer: m, 4, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 79*h - 9222. Let d be r(118). Solve -d = 2*z - 94 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2447 + -2443. Solve 3 = -2*x + q, 5*x - v*q - 7 + 22 = 0 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -m**2 + 26*m + 157. Let v be x(31). Solve -4*c = -4*p + 8, 5*c + 0*p = -p + v for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -23489*w**6 - 490*w**3 + 647*w**2 + 16508*w + 1?\nAnswer: -2818680*w**3 - 2940","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*q - 3*q**2 + 29937 - 29939 + 2*q**2 - 8*q**3 as g + z*q**2 + j*q + c*q**3 and give z.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*y + 104 = -4. Let s be -6 + 1 + -2*1. Let c = s - y. What is the units digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 609 and 13666.\nAnswer: 8322594","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 5*z**2 + 33*z - 114. Let r be s(-29). Let m = r + -31303\/10. Find the common denominator of -29\/50 and m.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 316 and -0.1?\nAnswer: -31.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -26*p**2 - 685*p - 244. Determine b(-26).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Product of -122.708 and -0.1081.\nAnswer: 13.2647348","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0 - -2. Suppose 5*g - 19 - 16 = k*a, g = -2*a - 5. Calculate the highest common divisor of g and 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -12*p**2\/5 + 44*p\/5 + 16\/5.\nAnswer: -4*(p - 4)*(3*p + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3 - 1 - 3)*(2*b + 2*b - 6*b) - 3*b - 3*b + 7*b + 195 - 195 - 116*b + b + 4*b - 3*b + (3 + 0 - 2)*(-5*b + 2*b + 5*b))*(b + 3*b - 5*b).\nAnswer: 109*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -1199 to the nearest 100.\nAnswer: -1200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = n**2 + 2*n - 2. Let k(u) = 4*u**3 - 102*u**2 + 804*u - 20. Let g(i) = k(i) - 10*x(i). Factor g(l).\nAnswer: 4*l*(l - 14)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r*r**0\/r*r**(6\/5)*r*r*r*r**5*(r\/(r\/r**(-4\/7)))\/r assuming r is positive.\nAnswer: r**(267\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.03 + 0. Let c = -2.67 - -1.64. Let d = z - c. Are 4 and d nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k = -k - 63. Suppose 12*b = 5*b - k. Let w be (31875\/(-4))\/(b\/(-1920)). Round w to the nearest 1000000.\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 0*b = 54. Let q = -18 - b. What is the remainder when 17 is divided by q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1335972 a multiple of 174?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.06, 5, 8579.\nAnswer: -0.06, 5, 8579","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 76218 and 14?\nAnswer: 533526","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xxxx when four letters picked without replacement from xxxx.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*o - 4*o - 10, -o = 2*q + 17. Let h(w) = w**3 + 7*w**2 + 5*w - 8. Calculate h(q).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -7 - -12. Let b(p) be the second derivative of -p**4\/12 - p**3\/6 + 3*p. Let y(l) = 6*l**2 - 4*l + 7. Let i(c) = 5*b(c) + y(c). Give i(a).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 + 0 - 2 - (1 + 2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 89130, 2\/9, -0.4 in ascending order.\nAnswer: -0.4, 2\/9, 5, 89130","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*h**2 + 3*h**2 - 2*h**2 + (0*h + 4*h + h)*(h - 3*h + 0*h).\nAnswer: -11*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:52 AM and 2:21 PM?\nAnswer: 149","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 33813282101 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4229054118?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 155502144 and 576.\nAnswer: 576","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 28 - -144677?\nAnswer: 144716","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -2\/17, -1, -2\/33, -0.16, 0.06, -5, -3\/2?\nAnswer: -2\/33","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 175\/6 + -136\/3. Find the common denominator of ((-1)\/4)\/((-342)\/513) and m.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ttttttttt. Give prob of picking 2 t.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -120.5 + 117.5. What is the closest to n in 3, -0.1, -30, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-9)\/(-36))\/((-14)\/(-16))?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 11 + 5. Let b = -16.0232 + g. Round b to three dps.\nAnswer: -0.023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1732 and -0.06.\nAnswer: 103.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -15*o - 85. Let l be w(-14). Let a = l - 78. What is the units digit of a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 30 + -25. Let b = o + -3. Let v(n) = 3*n**3 + 2*n**2 - 2*n + 2. What is the units digit of v(b)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -82672 - -167517. Suppose -b = 4*b - h. Let z = b - 6869. What is z rounded to the nearest 1000?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-595)\/(-34))\/(5775\/(-210))\nAnswer: -7\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*s + 2*s = 24 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-14)\/35 - ((-1664)\/420)\/8.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -2313534, -2313482, -2313334, -2313042, -2312558, -2311834, -2310822?\n\"Answer: 8*w**3 - 4*w - 2313538","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = u**2 - 10*u + 10. Calculate c(12).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express 3 - 11*p**4 - 3 + (2*p - 2*p - 2*p**3)*(0*p + 2*p - 3*p) + 52*p + p**4 + p**4 - 84*p in the form l + m*p**4 + r*p**2 + u*p**3 + d*p and give d.\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 163671449?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 20817797 and 217217.\nAnswer: 7007","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -10 and -0.00866844.\nAnswer: 0.0866844","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 190 + -85. Let n = 110 - g. Solve c = -n*t, -2*t + 5*c + 0*c = 27 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 5*q - 1. Let s be b(-1). Let i = 9 + s. What is the third derivative of -d**4 + 5*d**3 + d**2 + 2*d**4 - 5*d**i wrt d?\nAnswer: 24*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cccccccscsccscccsc. What is prob of sequence scs?\nAnswer: 7\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -2, -28, 3, -3 in ascending order.\nAnswer: -28, -3, -2, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2504 and 15337?\nAnswer: 313","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*j - 2 = -7*j - 2*f, j - 4*f + 16 = 0. Sort -3, 2, j, 17 in ascending order.\nAnswer: j, -3, 2, 17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 12 + -11. Let s = 1 + x. Sort 0.1, s, 0.2 in descending order.\nAnswer: s, 0.2, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 255 + 2?\nAnswer: 257","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 5*z = -34, -2*g - 6*z = -z + 19. Suppose 0 = -g*c - 9*c + 900. Find the second derivative of -23*w + 7*w**2 + c*w + 5 - 5 wrt w.\nAnswer: 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -53\/147 and 50\/21.\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:54 PM and 10:20 PM?\nAnswer: 386","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 184 + -99. Calculate the greatest common divisor of u and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 782107 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1647649 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26 + 54 - 5191*q - 28.\nAnswer: -5191*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0 - -2. Suppose 2*t + v = -3*y - 2*y, -t + 2 = y. Let n = y - -5. Solve g = -n*g + 12 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-45)\/23625*-60*(-1)\/(-4)\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 246 minutes before 10:38 AM?\nAnswer: 6:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -0.5 (b) 1\/9 (c) -16 (d) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*t**4 + 28*t**3 - 264*t**2 - 1728*t.\nAnswer: 4*t*(t - 8)*(t + 6)*(t + 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 6*m + 88. Suppose -5 = -4*g + 5*d, -4*d = 3*g - 0*d + 4. Let y be b(g). Suppose -c = 19 - y. List the prime factors of c.\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*d - g - 9, -3*d - 4*g + 12 = d. Suppose 0 = -d*v - 0*v + 117. What is v rounded to the nearest ten?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -2*g**3 + 4*g**2 - 2*g + 3. Let y be r(2). Let k = 0.08 + -0.02. Let i = 1.06 - k. Which is the second smallest value? (a) y (b) i (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 11*d. Let m(l) = -l**2 - 23*l. Calculate -7*b(w) - 3*m(w).\nAnswer: 3*w**2 - 8*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 5361 divided by -1568?\nAnswer: -5361\/1568","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2 - -1)\/(10\/20). Let k be (n + 3)\/(3 + 1). Which is the nearest to k? (a) -2 (b) -4 (c) 1\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = -4*j - 14 - 6, -4*z + 25 = -5*j. Let y be (1 - -9)\/(2\/14). Suppose -d = -z*d - y. Is 14 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -10 (b) 3\/2 (c) -1\/3 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -8 (b) 0.8218 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 129 + -49. Calculate the highest common factor of 16 and h.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1.39 + 0.59. Let t(q) = q**2 + 6*q. Let f be t(-6). Is f bigger than p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f = 2*i + 40, -5*i + 4*f - 90 = 10. Let k be (-1)\/(-1) + i\/(-12). Factor 0*h + 16\/3*h**3 + 2\/3*h**5 - k*h**2 - 10\/3*h**4 + 0.\nAnswer: 2*h**2*(h - 2)**2*(h - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 275 and 121.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -2*b**2 + 19*b - 1. Let i be v(9). Suppose 5*y + i*y - 39 = 0. Calculate the least common multiple of 9 and y.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -1202*o + 3775. List the prime factors of q(-10).\nAnswer: 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -638 + 638 - 13*s**2 + 23*s wrt s.\nAnswer: -26","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 at most as big as 19.9711?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find s, given that 4*s**4 - 160*s**3 + 1752*s**2 - 3040*s + 1444 = 0.\nAnswer: 1, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = z. Let a(q) = -18662*q + 13. Determine x(a(f)).\nAnswer: -18662*f + 13","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*s - s + 6*s)*(294*s**2 + 363*s**3 - 723*s**3 + 359*s**3) to r*s + y*s**3 + k*s**4 + o*s**2 + i and give k.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(102)\/sqrt(6) + 2)**2 + -1 + sqrt(612) - ((3*(2*sqrt(136) + sqrt(136)))\/(-1*sqrt(800)))**2.\nAnswer: 623\/100 + 10*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4199.269ml to litres.\nAnswer: 4.199269","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -741 + 822. Which is greater: 82 or r?\nAnswer: 82","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 5.894622 centuries?\nAnswer: 589.4622","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.116 + -8.\nAnswer: -7.884","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 65\/54 and 41\/72.\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -243220 rounded to the nearest ten thousand?\nAnswer: -240000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -2467 + -63423096\nAnswer: -63425563","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) be the first derivative of -p**4\/4 - p**3\/3 - 3*p**2\/2 - 7*p - 2977. What is i(-3)?\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 34 (b) -0.4 (c) 1 (d) 5 (e) 16\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*t + 0*t - t)*(3*t + t - 6*t) - 4 + 5*t**2 + 4 + 68*t - 68*t - 8*t**2 - 6*t**2 + 2*t**2 + t**2 as i*t + r + s*t**2 and give s.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -26*b + 339. Determine w(11).\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 45 is divided by 17.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 3 = 0, -2*f - 5*v - 185 = -6*f. Calculate the greatest common divisor of 1075 and f.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -114*p**3 - 2*p**2 + 6*p + 2. Let m be r(-2). Let o = -342 + m. What is the tens digit of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t - 2*t - 4*a - 118 = 120, -5*t + 170 = -3*a for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 33\/4 - (-4)\/(-16). Suppose 0*z = 4*z - w. What are the prime factors of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 386 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -3*v**2 - 7*v + 100. Let q be y(-7). Solve 3*h - 2*h - 2*d - q = 0, -4*d = 2*h + 20 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 96432, 96630, 96828, 97026?\nAnswer: 97224","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1692 - -10048. What is u rounded to the nearest 1000?\nAnswer: 12000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 less than 3076?\nAnswer: 3076.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 2, -2, -1089697 in decreasing order.\nAnswer: 5, 2, -2, -1089697","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 3, l: 7}. What is prob of sequence kk?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 21 - 17. Let g(w) = 5*w**2 + 10*w. Suppose 19 + 5 = -4*n. Let u(h) = -h**2 - h - 1. Let m(l) = n*u(l) - g(l). Give m(i).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2*1*4\/(-56))\/((-158)\/(-158))\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -20 (base 6) to base 8\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = z + 1. Let p(s) = -28 - 16*s - 54 + 87. Determine -5*a(l) + p(l).\nAnswer: -21*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4346 and 530?\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.15 - 0.15. Let m = 11.09 + -11.3. Sort o, -2\/7, m in decreasing order.\nAnswer: o, m, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-105)\/((25\/8)\/((-3720)\/(-2976))).\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 7*w - 3*w - 2*w + (-7*w + 4 - 4)*(3 - 4 - 2) + 0*w + 3*w - w.\nAnswer: 25*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 63.174 rounded to the nearest 10?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 48146, 192600, 433356, 770414, 1203774, 1733436?\n\"Answer: 48151*k**2 + k - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = p**3 + 3*p**2 - 3*p + 3. Suppose 0 = -4*w - 0*w - 4*j, 3*w - j - 16 = 0. Suppose -w*g + 21 = -11*g. What are the prime factors of z(g)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 67 in 2\/5, -0.1, -0.4?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-45694)\/(-44))\/(1705\/110)?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 725445 divided by -705?\nAnswer: -1029","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -7*x**2. Let d(p) be the third derivative of 11*p**4\/8 + 5*p**3\/3 + 1064*p**2 - 3*p. Calculate i(d(l)).\nAnswer: -7623*l**2 - 4620*l - 700","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 - 27 - -28 - 6 - 29?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + 3*v - 12 = 0, -v + 5*v = 4. Suppose 2*k = 7*k - a + 6, 2*a = j*k - 2. Suppose 4*g + 25 = -g. Put 5, k, g in descending order.\nAnswer: 5, k, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.118 + 0.1132. Let x = 1.9952 - y. What is the nearest to 1 in 3, 4, x, -3?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 36 + 6045606?\nAnswer: 6045645","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1119858 to the nearest integer?\nAnswer: 1058","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a century in months?\nAnswer: 1440","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - 25 = -5*a - g, 0 = 5*a + 3*g - 5. Suppose a*m - 3*u + 21 = -7, 16 = 4*u. What are the prime factors of m\/(-2) - (1 - 3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3 - 2. Let g be ((-277)\/11 - -3) + ((-2091)\/(-187) - 11). Sort 5, g, s, 3.\nAnswer: g, s, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i**(-1)*i)**18\/(i\/i**2)**(1\/24))**(-23\/5))**29 assuming i is positive.\nAnswer: i**(-667\/120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 4440 a factor of 740920560?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9*v - 2*v - 4 - 8*v)*(-25 + 35 + 60).\nAnswer: -70*v - 280","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 33556 less than 34118?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -543 + -1?\nAnswer: -544","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 1 r when two letters picked without replacement from rrfrfnnbtnf?\nAnswer: 9\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -m**4 + 97782*m**3 + m**2 - 97782*m.\nAnswer: -m*(m - 97782)*(m - 1)*(m + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a millisecond in microseconds?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 6, z: 6}. What is prob of sequence dd?\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -20552*y**2 - 21580.\nAnswer: -41104*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*l**3 + 2*l**4 - 2*l**3 + (0*l + 0*l - l)*(2*l**2 + l**2 + 0*l**2)*(3 - 3 - l).\nAnswer: 5*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = p**3 - 11*p**2 - 6*p - 7. What is the tens digit of a(12)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3158*b - 4824*b - 59976 = 0 for b.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -289, -575, -847, -1099, -1325, -1519, -1675?\nAnswer: -1787","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*l**2 + 2*l**2 - 31*l**2.\nAnswer: -33*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -4939 (base 16) to base 12\nAnswer: -aa21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = z**2 - 8*z. Let b be l(8). Suppose 3*w - 5 - 10 = b. Suppose -5*r + r + 48 = 2*t, 5*r + 165 = w*t. Round t to the nearest one hundred.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 4 (b) -1 (c) -0.402 (d) -1\/12 (e) 0.4 (f) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -556, -555, -554, -553?\n\"Answer: b - 557","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 203 minutes after 1:21 AM?\nAnswer: 4:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -21*y**3 - 2*y**2 - 36*y + 14. Is 81 a factor of o(-6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1921 and 678?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 47*b**2 - 33*b**2 - 14*b - b**3 + 3 + 1 + 7. Calculate o(13).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-21)\/(420\/(-16))*(-4)\/(32\/(-220)).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1097\/10 + 546\/5. Which is the nearest to k? (a) -1 (b) 0.3 (c) -4 (d) 21\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 7*(2 + 9 - 10) - 8. Let y = 3 - 2. Which is the nearest to -1? (a) y (b) x (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 2 - 1 - 2 + 0 + 4 + (0 + 0 - 1)*(0 + 1 + 0))*(1 - 3 + 142*p + 1 + (6*p - 4*p - p)*(-4 + 2 + 3)).\nAnswer: 572*p - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 805*q + 2*n = 806*q + 29, -n + 25 = -4*q for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*x + 2*t - 1 - 1, 0 = 5*x + 2*t + 12. Put x, 0, 4, -1 in increasing order.\nAnswer: x, -1, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 24008 is divided by 1094?\nAnswer: 1034","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8027 + 8024 = -3*c - 3*m, -c + 6 = 2*m for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 358589345?\nAnswer: 5, 71717869","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 26765095 + -26765081.4000573. Let n = r + -13.6. Round n to 5 dps.\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (4 + (-2189)\/(-22))*10\/3. What is the second derivative of 4*f**3 - 10*f**5 + 186*f + v*f**2 - 345*f**2 wrt f?\nAnswer: -200*f**3 + 24*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -5\/6 (b) 2 (c) 0.08\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -3*u**3 - 4*u**2 + 4. Let k(l) = l**3 + 12*l**2 - 4. Let c be k(-12). Let d(p) = -8*p**3 - 12*p**2 + 11. Calculate c*d(h) + 11*f(h).\nAnswer: -h**3 + 4*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -385*r**2 + 2. Let d(m) = -m**2. Determine d(b(a)).\nAnswer: -148225*a**4 + 1540*a**2 - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: ((-58)\/(-18) - (-8)\/(-36)) + -1\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 59\/1923065 and -43\/35.\nAnswer: 13461455","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h = 28*d - 32*d + 36563, 0 = 2*h - 18. Is 8 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 984787.4 micrometers?\nAnswer: 98.47874","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 23.48127l to millilitres.\nAnswer: 23481.27","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 6 + 6*i)*(-8 - 2*i**2 + 8)*(-14186 + 14186 - 193*i).\nAnswer: 2316*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - 153 = 13. Let m be (2 + -5)\/(3\/x). Does 4 divide (-2)\/9 + m\/18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 346 - 335. Let g(u) = 26*u - 214. Is g(z) a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) be the first derivative of -p**4\/6 + 2*p**2 - 4*p - 2. Let i(r) be the first derivative of x(r). What is the first derivative of i(u) wrt u?\nAnswer: -4*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 168 - 180.3. Let y = i - -11.3. Which is the nearest to -1? (a) 0 (b) y (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4995458 is divided by 200?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 32\/51 and -37\/357.\nAnswer: 357","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1.71 + 0.29. Which is the biggest value? (a) -4 (b) z (c) -2\/3 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 513 divide 11442465?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 139 minutes after 1:04 PM?\nAnswer: 3:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*r - 18*r = -659829 + 658639 for r.\nAnswer: 119","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 5, s: 2}. Give prob of picking 2 s and 1 x.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -169319570725 + 31?\nAnswer: -169319570694","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 551738 is divided by 49.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 205*r + 3369 + 1551 = 0 for r.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j + 2*f = 410, -4*f - 143 = 4*j - 483. What is the remainder when 257\/4 - 20\/j is divided by 14?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*a**3 + 3*a**3 - 2*a**3)*(2 + 6 - 4) + (a**3 + 0*a + 0*a)*(236 - 81 - 102) - 4 - 2*a**3 + 4.\nAnswer: 55*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z = 3*w + 9, -5*z = -0*z. Suppose 0 = -3*x - 3*d + 27, 7 - 21 = -2*x - d. Sort x, w, -4 in increasing order.\nAnswer: -4, w, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in nineteen quarters of a hour?\nAnswer: 17100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*m = -12 + 32. Let y(t) = 22*t + 36*t + 16*t - m*t. Let d(j) = 2*j. What is d(y(v))?\nAnswer: 144*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 63232*y**3 - y + 4*y - 3*y.\nAnswer: 63232*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 75195.931247 + -5?\nAnswer: 75190.931247","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pp when two letters picked without replacement from {p: 6}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.109437 + -13.253235.\nAnswer: -13.143798","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 224*z**2 + 5*z - 18. Does 11 divide b(4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -2*j**2 + 17*j + 29. Suppose 3*a = 5*o + 30, -378 + 358 = -2*a - 3*o. What is b(a)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 332659709?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 679 + -668. What is the least common multiple of 638 and v?\nAnswer: 638","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(-1 + (1*sqrt(396) + sqrt(396))*-6 + (sqrt(396) - (sqrt(396) + 2 + 4)))*-4)**2.\nAnswer: 64512*sqrt(11) + 3652672","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = x**3 + 9*x**2 + 6*x + 55. Determine w(-9).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 138, 280, 424, 570, 718, 868, 1020?\n\"Answer: p**2 + 139*p - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -488 - 9461?\nAnswer: -9939","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.3? (a) -6\/11 (b) 0 (c) 35\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9 + 232*d + 1218*d - 326*d + 3 to the form r + q*d and give r.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 55684 is divided by 145.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c + 3*p = -0*p - 2, -c - 4*p = 1 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (2\/(-3))\/((42\/27)\/(-7)). What is the second derivative of -5 + 13914*p + i*p**5 - 13913*p + 3*p**5 wrt p?\nAnswer: 120*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2)\/(-1)*(-2 - -4). Let q = w + 8. What is the highest common factor of 2 and q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 143 + -141.5. Suppose -5*q + 837 = 857. What is the closest to -0.1 in n, 3, q?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2 - -2) + (2 - 0). Suppose j*g = 1881 + 613. Suppose -2*b = 4*q - 552, 157 = -4*b - q + g. What are the prime factors of b?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 437 - 440. Let u be (g - -1)*(-6)\/78. Do u and -29 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.2 or 40889.57?\nAnswer: 40889.57","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -952 - -954. Let o(r) = -7*r + 364. Let w be o(52). Let v = 3 + 2. Put v, 1.3, d, w in increasing order.\nAnswer: w, 1.3, d, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10111 (base 2) to base 3\nAnswer: 212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = -3*h + 547, 18*p = 4*h + 15*p - 718. Calculate the remainder when h is divided by 92.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 801 = 5*u - 5*v, -u = v - 163. Suppose 5*d = 4*d + u. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -487 and 63?\nAnswer: -30681","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 930?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 110 - 116. Let h(t) = 2*t + 18. Calculate the least common multiple of h(y) and 66.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o**(3\/10))**(7\/10) assuming o is positive.\nAnswer: o**(91\/100)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -s. Let o(n) = -6*n - 9. Let h(t) = -o(t) + 5*w(t). Let l be h(-7). Does 17 divide (l\/2 + 33)\/1?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = o + 8. Determine u(6).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 1\/4, -7, -0.2, -2?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.04 + -28.04. Let g = 47 + y. Let x = -18.99999953 + g. Round x to seven dps.\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (-2*1*-2*sqrt(931))**2 - (5*(-1*sqrt(931))**2 + (sqrt(931)*1 + sqrt(931))*-1)*-1.\nAnswer: -14*sqrt(19) + 19556","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1790.\nAnswer: 2, 5, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (3*(-189)\/(-324))\/((-49)\/(-42))?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dw when two letters picked without replacement from dwwmemqmqdww.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.002576197 rounded to 3 decimal places?\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*d**3 + 5 - 5 + (-394 - 113 + 741)*(3*d**3 - 3*d**3 + 2*d**3) in the form u*d + z + x*d**2 + r*d**3 and give r.\nAnswer: 465","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 45*a - 13*a - 208096. Round a to the nearest one thousand.\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*u - u + u)*(2*u**2 + 2*u**2 - 5*u**2) - u**3 - 4*u**3 + 4*u**3 + 5 - 289*u**3 - 283*u**3 + 568*u**3 to v*u + y*u**2 + r + j*u**3 and give r.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -o**3 - 6*o**2 - 4*o + 6. Let t be q(-5). Suppose 5*p + t = 21. Let j(z) = z**2 - 3*z - 3. Calculate the remainder when j(p) is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 37 * 5.6388.\nAnswer: 208.6356","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -129*b**3 + 247485*b**2 - 247485*b**2.\nAnswer: -129*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - 0)*0\/122.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 41181?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 68066266 to the power of 1\/3, to the nearest integer?\nAnswer: 408","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1153083136?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange y + 0*y + 2*y + y to the form c + s*y and give s.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:10 AM and 7:50 PM?\nAnswer: 520","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 + 4 + 3)*(-2 - 2 + 3)*(5*n - 3*n - 4*n)*(n**3 + 1 - 1) in the form m*n**4 + h*n**2 + y*n + k*n**3 + c and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2841361?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-92)\/16 - 2\/8. Let t = 9 + v. Solve -5*c + 23 = -2*x, 12 = -0*x - 3*x + t*c for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 greater than or equal to -1\/422084?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -8005085, -16010189, -24015293, -32020397?\n\"Answer: -8005104*g + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -17\/2460 and -91\/29701794.\nAnswer: 297017940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 217 minutes after 7:51 AM?\nAnswer: 11:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -26*b - 16. Let x(z) = 1. Determine -t(k) - 5*x(k).\nAnswer: 26*k + 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 88*v - 275 = p + 18 + 525 + 591, 30 = 2*p + 2*v for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 44829 - 26569. What is i rounded to the nearest one thousand?\nAnswer: 18000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2439.62797 to the nearest 10.\nAnswer: -2440","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Let u be 12\/96 + 1 + (-8382)\/(-16). Suppose -6*k + 13*k - u = 0. Is 4 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*o**3\/4 - 4935*o**2\/2 - 1775493*o\/4.\nAnswer: 3*o*(o - 3461)*(o + 171)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a - 14 = -5*y, 8*a - 3*a + 5 = 0. Let k be (y\/(-6))\/(6\/(-90)). Put k, 2, 4 in ascending order.\nAnswer: 2, 4, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 25535, 25613, 25697, 25787, 25883, 25985, 26093?\n\"Answer: 3*x**2 + 69*x + 25463","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00006606 rounded to five decimal places?\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 27 in 4, 5, 0.1, 3?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by 254.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1 - 5. Let w = g + 4.2. Let b = 8.9 + -9. Is w equal to b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*x**3 + 54*x**2 - 216*x.\nAnswer: -3*x*(x - 12)*(x - 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4 + (-2*sqrt(5200) - sqrt(5200)) + sqrt(5200) - (sqrt(65)\/sqrt(5)*1 - (sqrt(13) + (sqrt(13) - (sqrt(39)\/(sqrt(3)*2) + sqrt(13)))))) + 0)**2.\nAnswer: 324*sqrt(13) + 85357\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:24 AM and 11:30 AM?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = n**2 - n + 2. Let z be (4\/(-20))\/(3\/(-15)). Let f be z\/(-4) - 9*9\/(-36). Let v(j) = -4*j**2 + 4*j - 8. What is f*v(i) + 9*s(i)?\nAnswer: i**2 - i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 603600 rounded to the nearest 10000?\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*r = 5*r + m + 49, -4*r + 4*m = -40. Suppose -64 - 105 = -r*a. What is the remainder when 336 is divided by a?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -801, -1985, -3169, -4359, -5561, -6781, -8025?\nAnswer: -9299","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 90089849 to the nearest integer?\nAnswer: 448","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 73\/5 of a milligram?\nAnswer: 14600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in 2, -2.2, -0.3049?\nAnswer: -0.3049","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 121 - 84 = 5*k - 4*i, -3*k + 3*i + 24 = 0 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = 3*r + 5, -2*n + 0*n - 2 = 2*r. Which is smaller: -13\/6 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is sixty-four fifths of a litre in millilitres?\nAnswer: 12800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-534)\/10 - (-6)\/15. Let g = 12473 + -12417. Let q = g + s. Solve -q*x - 9 = 2*h, 2*x + 0 = 3*h - 6 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8825.213ug in grams?\nAnswer: 0.008825213","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-54 - -55)\/(1\/7) + (-161 - (-20 + -14))\nAnswer: -120","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3067 (base 8) in base 3?\nAnswer: -2011221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 96248123.\nAnswer: 23, 1783, 2347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -561.34272 to one decimal place.\nAnswer: -561.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n, 1 f, 1 t, and 1 g when four letters picked without replacement from nfgrcrt.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -10 - -28. Calculate the highest common factor of 9 and l.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1 + 4. Let s be (1 - x)*(-2)\/4. What is the third derivative of -j**3 - j**2 + 2*j**s - 3*j**2 + 0*j**2 wrt j?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*k**4 + k**4 + 12*k**4)*(-2*k - 2*k + 2*k) - 2*k**5 - k**5 + 2*k**5 - 2*k**5 + 4*k**5 + 0*k**5 + (2*k**5 - k**4 + k**4)*(-3 + 2 - 2).\nAnswer: -21*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 107820 and 11340.\nAnswer: 6792660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) be the first derivative of 27*g**4\/8 + 33*g**3\/2 - 42*g**2 + 30*g + 67. Factor a(t).\nAnswer: 3*(t + 5)*(3*t - 2)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) be the second derivative of 18*q**5\/5 + q**4 - 26*q**3\/3 + 4*q**2 + 119*q. Factor t(x).\nAnswer: 4*(x + 1)*(3*x - 2)*(6*x - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1.59 + -1.89. Which is the fourth smallest value? (a) 2\/5 (b) -3 (c) k (d) 2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2 + 2. Suppose 5*x + 21 = -0*t - 2*t, y*x = t - 9. Does 4 divide (-1)\/(-3) + (-20)\/t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 84*z**2 - 5*z - 3. Determine i(1).\nAnswer: 76","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -43*t - 1413 = -768 for t.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d*((d**(-9\/4)*d)\/d)\/d)\/(d**(-2)\/d))**(-4\/5))**(-10) assuming d is positive.\nAnswer: d**6","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 195 and 35.\nAnswer: 1365","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -582*h + 57 = -572*h + 7. Solve -6 = 4*s - 7*s - 3*k, 0 = 4*s + 5*k - h for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a = 3*a - 36. Let i = 289 - a. Is (11 + -9)*i\/2 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (42\/8)\/((-405)\/(-2610)*29)?\nAnswer: 7\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 26779665 and 215820?\nAnswer: 321355980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -12342, -12354, -12380, -12426, -12498, -12602, -12744?\n\"Answer: -s**3 - s**2 - 2*s - 12338","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 780 and 182.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u = -0*u + 52. Let p = u + 13. Suppose 2*y - 3*t - t + 1679984 = p, -t = 2*y + 1680004. What is y rounded to the nearest 100000?\nAnswer: -800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 26 in -2, 19, -0.5, -4, -0.07, -3\/5?\nAnswer: 19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = w**3 - 5*w**2 + w + 15. Calculate the remainder when g(8) is divided by 72.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -75 times 0.04?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.002333 to 3 dps.\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 2 = 4. Let a be 2 + 3\/g - (-1 + 0). Factor -7\/2*c + a*c**3 - 1 + c**2.\nAnswer: (c - 1)*(c + 1)*(7*c + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-284)\/(-36) + -4 + -4?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 56?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*(y**0\/y)\/y)**(-46)\/(y\/(y*y*y\/y**(1\/3)))**(2\/13))**(1\/10) assuming y is positive.\nAnswer: y**(902\/195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(81)*-2)\/(sqrt(300)*-2) + -3)**2.\nAnswer: -9*sqrt(3)\/5 + 927\/100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1320 divided by -38.\nAnswer: -660\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + sqrt(171))*-1)**2 - (-2 + sqrt(171)*-2).\nAnswer: 174","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c - 2 = 0, -6 = 5*y + 2*c + 6 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*r + 4*r - 2*w + 262 = 0, 2*r + 4*w - 264 = 0. What is the hundreds digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1001101011 (base 2) in base 14?\nAnswer: -323","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 21\/335831 and -11\/2337.\nAnswer: 19142367","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*((sqrt(242) - (sqrt(242)*-1 + -2) - sqrt(242)) + 3*sqrt(4)\/sqrt(8))**2.\nAnswer: 150*sqrt(2) + 1899\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1592 is divided by 173?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 15468655 to the nearest integer?\nAnswer: 249","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l = 14 - 2, 3*j = -3*l + 114. What are the prime factors of j?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.006613 days in nanoseconds?\nAnswer: 605371363200000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -145*w + 151*w + 2831 - 1075 + 2488.\nAnswer: 6*w + 4244","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 69*z**3 - 252*z**3 + 497*z**3 + 483*z**3.\nAnswer: 797*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vmrwrnwb. Give prob of picking 1 v, 1 r, and 2 w.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 3.8*16.2\nAnswer: 61.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y = 4*d + 11, -807*y - 4 = -806*y + d for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 527849 less than -422241?\nAnswer: -950090","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*o**4 + 711*o**3 + 17292*o**2 - 265788*o + 457056 = 0. Calculate o.\nAnswer: -24, 2, 69\/7, 46","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (15 - 3) + (2 + 90 - (23 + -35 + 23))?\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 5*h. Let f = -3 + 8. Let n(u) = -4*u. Suppose 0 = 3*i - 3*o - 48, 52*o + 75 = 5*i + 48*o. Let l be 0 + 2 + i\/33*12. Calculate f*t(z) + l*n(z).\nAnswer: z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(77) + 2*sqrt(77)))\/(sqrt(1008)*1) + 0 + (sqrt(11) + (sqrt(110)*-3)\/sqrt(10))**2 + sqrt(11) + 1.\nAnswer: 9*sqrt(11)\/4 + 45","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 18828933 to the power of 1\/3, to the nearest integer?\nAnswer: 266","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 28 + -65. Let f = 34 + h. Let u = -19.3 + 17.3. Which is greater: u or f?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 75756614?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) be the first derivative of 107*s**2 + 271. Let g(k) = -k. Determine v(g(q)).\nAnswer: -214*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3, -18, -25, -18, 9, 62?\nAnswer: 147","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -9 in 5, 26, -3\/7, -4\/7?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.37 + 1.53. Let v = z - 2. Let s = 10713 + -10714. Sort s, v, -4 in descending order.\nAnswer: v, s, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*o - 12*o - 60 = -25*o. Let d(l) = -l + 14. Let w be d(9). Solve -w*f = -4*r - o, 0 - 8 = -2*f for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 45920 is divided by 1021.\nAnswer: 996","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 2454*f**2. Let x(r) = 7*r**2. What is c(x(m))?\nAnswer: 120246*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -131\/26238 and -40\/28389.\nAnswer: 248290194","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k*k**(2\/3)\/k)\/k)**(-17\/2))**(-27)*(k*k*((k*k*k**(6\/5))\/k)\/k*k**4)\/(k\/k**2)**(-20) assuming k is positive.\nAnswer: k**(-893\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 3 - (1 - 3 - -2). Let v be (-3)\/(j\/(-10)) + -3. Solve -v*a = -2*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence se when two letters picked without replacement from dezeodzs.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y - 3*z = y - 11, 3*y + 5*z - 25 = 0. Suppose -4*a + 13 = 5*u, 0*a - 3*u - 3 = -3*a. Solve -3*n**2 + a*n**4 - n**3 + n - n**4 - y + 6 + 1 = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 31525 + -41?\nAnswer: 31464","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1*3\/(12\/20) + -2. Let i(q) = 2*q - 32. Suppose -3*w + 32 = -w. Let t be i(w). Which is greater: r or t?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(637)*1)**2 - sqrt(637)) + 3 - sqrt(637)) + -6*(sqrt(13) - (sqrt(13) + -1 + sqrt(13))*6).\nAnswer: 52*sqrt(13) + 604","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3300065?\nAnswer: 5, 660013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 20221 + -20176. Solve 33 = -z*a + 12*a for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.039997231 to 2 dps.\nAnswer: 2.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 22555724?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4\/5 in 1\/11, -0.3, 5, -11\/4, 3333?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.1 and -1735.6.\nAnswer: -1735.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 60 and 7102810?\nAnswer: 42616860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 83\/714 and -11\/336?\nAnswer: 5712","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -32 (base 13) in base 11?\nAnswer: -38","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -189658 by -339.\nAnswer: 189658\/339","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*i + 5*w = 8*w + 24, -5*i - 3*w - 27 = 0 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -c**3 - 62*c**2 - 234*c - 115. Let z be p(-58). Let v(t) = t**2 - 5*t + 3. Let s be v(4). Is (454 + (-4 - s))*z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 187*a + 309*a = 183*a - 8542 + 26696 for a.\nAnswer: 58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Add 1635194 and 1805.\nAnswer: 1636999","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is five eighths of a milligram in micrograms?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -21674.13 rounded to the nearest one thousand?\nAnswer: -22000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + -2 + 4 + -1.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*r + 27 - 17 = 3*r. Sort r, 5, -2, -5, -3 in increasing order.\nAnswer: -5, -3, -2, r, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3268, -6524, -9780, -13036, -16292, -19548?\nAnswer: -22804","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/(i\/(i\/i**(-1\/12))))\/(i*(i**(-7\/8)*i)\/i) assuming i is positive.\nAnswer: i**(23\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -7*o**2 + o + 5. Let r(b) be the second derivative of -13*b**4\/12 + b**3\/2 + 9*b**2\/2 - 303*b - 1. What is -7*f(i) + 4*r(i)?\nAnswer: -3*i**2 + 5*i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1332227 to the power of 1\/9, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*l**2 - 2*l**2 - 2*l**2)*((0*l + l - 2*l)*(0 + l**2 + 0) + l**3 + l**3 - 4*l**3 - 4*l**2 + 3*l**3 + 2*l**2 - 40*l**3).\nAnswer: 80*l**5 + 4*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*t**5 - 5*t**5 + 2*t**5 + (-2*t**3 - t**2 + t**2)*(-2*t**2 - t + t) - 6*t**4 - 2*t**5 + 6*t**4.\nAnswer: t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32933*d = -32932*d - b - 4, -5*b - 20 = 2*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.4 (b) 16 (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r - 5 = -4*r + v, 2*v = 6. Let w be r\/11 - (-12)\/(-66). Suppose -3*a + 12 = -w*a. What is the remainder when 11 is divided by a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2143480 a multiple of 820?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -2 (b) 0.1 (c) -24 (d) -1\/4 (e) -5.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.71 + -0.8. Let f = m - -0.0954. What is f rounded to 3 dps?\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*k - 135 = -5*k. List the prime factors of k.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 4*i + 1 = -7, -4*u + 16 = 2*i. Solve 5*y - 5 = -l + 3, 0 = -u*y - 5*l + 19 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = u**3 + 4*u**2 - 3*u - 7. Let w be i(-3). What is the greatest common factor of 99 and w?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1246 + 13125 = -63*w - 425*w - 8565 for w.\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = d**3 + 12*d**2 - 2. Give n(-12).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -t**3 + 22*t**2 - 21*t + 17. Let l be g(21). Let b = l - 13. Find the second derivative of -3*o + 13*o**b + 21*o**4 - 37*o wrt o.\nAnswer: 408*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2432 divide 76445056?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -4*t - 2. Let g be l(-3). Let k = 9 + g. Calculate the remainder when 37 is divided by k.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.23 - 11.23. Let g = -10.9 - k. Which is the biggest value? (a) g (b) -2\/5 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-24)\/27 - (4 + -4)\/(-11)?\nAnswer: -8\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c + 4*k - 69 = 34, -5*c + 99 = 2*k. Suppose 5*u - 1 - c = 0. Suppose -m - 30 = -u*m. Is m even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 8 = -72. Suppose 3*z = 79 - f. Solve 0 = 5*x - z + 1 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 20 and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(-6*(2 + sqrt(44) + sqrt(44)*-2 - sqrt(44))*-3)**2.\nAnswer: -25920*sqrt(11) + 291600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 25\/(((-6)\/1808 + 0)\/3). Round u to the nearest 10000.\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 14*o**3 - 3*o - 3. Let h(f) = -561*f**3 + 119*f + 119. What is -119*b(m) - 3*h(m)?\nAnswer: 17*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - a + 1 - 3 = 0, 0 = -2*p - 3*a - 6. Round p to the nearest 100.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 87151236?\nAnswer: 2, 3, 7262603","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 5265414 a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -94461*v. Let k(t) = 89*t**2 - 14. Calculate k(m(d)).\nAnswer: 794136366369*d**2 - 14","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (-1)\/3 + (-550)\/9*6864\/(-20)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 900 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 2*c**2 + 2*c + 2. Let f(l) = -5*l**2 - 4*l - 3. Let q(a) = -7*d(a) - 3*f(a). Suppose 5*y - 32 = -3*y. Give q(y).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 201*a**3 - a**2 - a. Let o be j(1). Suppose 2*w + 3*m = -o, -15*w = -10*w - 4*m + 486. What is the closest to 1 in 2, w, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -466 by 2.\nAnswer: -233","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 1, f: 7, q: 2}. Give prob of picking 1 q and 1 d.\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -8*(-10)\/(-360)*-1\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + 62 = z - 545, 0 = 5*m + 2*z + 1019. Let s = 351 + m. What is the units digit of s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f**5 + 4*f**4 + 78*f**3 + 144*f**2 = 0 for f.\nAnswer: -3, 0, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3 + -4. Let d(w) = 10*w - 1. Let c(b) = -11*b + 2. Let m(o) = -2*c(o) - 3*d(o). Let z be m(v). What is the greatest common factor of 14 and z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = q**3 - q**2 - q + 6. Let u be l(0). Let n be (-1)\/(2 + -4)*u. Suppose 10 = -g + n*g - 5*v, -3*v = 6. Solve g = 2*j + 4 + 2 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 5.769202 minutes?\nAnswer: 346152120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 645 to the power of 1\/2, to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 417052 to the nearest integer?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let -l**2\/5 - 312574*l\/5 - 24425626369\/5 = 0. Calculate l.\nAnswer: -156287","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 1 = 4. Suppose -s*i = -8*i + 387. What is the units digit of i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 8*x**2 - 4*x + 5 + 0*x + 0. Let v(t) = -t**2 + 10*t - 6. Let n be v(10). Let s(w) = 17*w**2 - 9*w + 11. Determine n*s(o) + 13*f(o).\nAnswer: 2*o**2 + 2*o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 2*y**2 + 90397*y - 9. Determine o(0).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -39*a - 5*a = 20*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -44062 - -44238. What is the remainder when 594 is divided by w?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:31 AM and 7:57 AM?\nAnswer: 266","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 9\/(-60)*(-2)\/4. Let m be (-4 + (-14994)\/60)\/132. Let q = i + m. Find the common denominator of q and -76\/3.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4 in -0.08, 1\/5, 0.4, 1?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 41730.\nAnswer: 2, 3, 5, 13, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 64 divide 214?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -4910 or -4906?\nAnswer: -4906","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -1116*s**3 + 2*s**2 - 2*s - 4. Let h be g(-2). Let m = h + -196527\/22. Let i = -595 - -3643\/6. Find the common denominator of m and i.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 15.673 and -0.1.\nAnswer: 15.573","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -c + 122 - 122. Let l(u) = 2*u**2. Determine q(l(d)).\nAnswer: -2*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 164942020*c**2 - 13416157 wrt c?\nAnswer: 329884040*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3360.5 + 3368. Which is the nearest to 0.1? (a) 2\/3 (b) h (c) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 34691490 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 3*c**3 - 2*c**2 + 3*c - 2. Let j be r(1). What is the third derivative of y**j + 619 - 6*y**3 - 619 wrt y?\nAnswer: -36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2611 is divided by 391.\nAnswer: 265","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.1 and 62927.\nAnswer: 62927.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 32641807*c*y + 35670174*c wrt y.\nAnswer: 32641807*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4311551*-0.3.\nAnswer: -1293465.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 11.75 - -0.25. Let x = 9 - w. Which is the smallest value? (a) x (b) -0.2 (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 175822 is divided by 35088.\nAnswer: 382","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) be the first derivative of 4*y**2 + y - 1. Let m(g) = -15*g - 2. Suppose 16 = -4*z - r - 1, 11*r = 5*z - 40. Give z*m(f) - 5*d(f).\nAnswer: 5*f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((0 + sqrt(343) + -2 + 4 + sqrt(343)*1)*4)**2.\nAnswer: 896*sqrt(7) + 22016","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -8*x + 51. What is o(0)?\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 514229688.\nAnswer: 2, 3, 7, 181, 1879","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -55\/4 and 1064\/(-432) - 6\/(-27).\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 47*r - 436 = -718 for r.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*y**2 + 4*y**2 - 3*y**2 + (-5*y + 4*y + 2*y)*(4*y - y - y) - y**2 - 2*y**2 + 5*y**2 - y**2 + 0*y**2 + 0*y**2 - y + y**2 + y.\nAnswer: 7*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1087188?\nAnswer: 2, 3, 90599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = f**3 + 5*f**2 - f. Let i be r(-5). Let b(h) = 2*h**2 + 8*h - 9. Let u be b(6). Suppose u + 24 = i*o. What is the units digit of o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -4*u**2 - 5*u - 3. Let m(r) be the first derivative of -r**3 - 3*r**2 - 4*r - 2. Let t(k) = -4*c(k) + 5*m(k). What is the units digit of t(11)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 2, t: 2, h: 1}. What is prob of sequence ot?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*-4*(-1 + -1*sqrt(176) + sqrt(176) + sqrt(176) + 6*(sqrt(176) + 1*sqrt(176))))**2.\nAnswer: -41600*sqrt(11) + 11898000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1443?\nAnswer: 3, 13, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -h**2 - h + 1. Suppose -1 - 1 = -p. Let i(a) = 7 - 1 + 1 - 3*a - 6*a**p. Let j(l) = -i(l) + 5*v(l). What is j(3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 30 - -2?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (12\/(-8))\/(-3)*0. Let w be (-4)\/(-16) + (-3)\/12. Suppose 5*f + 2*n - 20 = w, -6*f - 4*n + 10 = -11*f. Solve 5*m - 4*x + f*x - 35 = 0, m + x = d for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = -2*g - 5, 2*u - 6*u + 20 = -5*g. Suppose -4*f + 10 = -6. Solve 2*r = -2*k + 14, f*r = 3*k - u*k + 22 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -2*q. Let g(j) = -3*j. Let w(v) = 2*v. Let z(o) = -5*g(o) - 6*w(o). Give z(k(d)).\nAnswer: -6*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 143 and 187?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 w and 1 l when four letters picked without replacement from {b: 3, l: 1, w: 5, p: 1, c: 4}?\nAnswer: 10\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -9*b - 1. Let h be i(-1). Do 8 and h have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3\/1749197 greater than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 204011 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1\/3 - 64\/(-6). Let h = -9 + w. Calculate the least common multiple of 7 and h.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -3*s - 4. Let m(d) = -7*d - 9. Let t(q) = 10*k(q) - 4*m(q). Let w be t(-5). Let p = w + 26. What is the tens digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - 5 = -11. Let c be -4 + 8\/5 + d. Is c greater than 0.3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -m**2 - 7*m + 12. Let h be w(-9). Let u(f) = -f**3 - 61*f + 7 + 31*f - 3*f**2 + 33*f. Is u(h) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 126095?\nAnswer: 5, 25219","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 4 - 169*y + 343*y - 177*y. Let c(q) = q + 1. Suppose -5*n + 11 = -4*i, -3*i = -2*n - 5 + 15. Let j(g) = n*z(g) - 2*c(g). Determine j(5).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -1 and -1\/3 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t**(-2\/3)\/t)\/t)\/t)**(-10)*(t**(-3\/2)\/t)**36 assuming t is positive.\nAnswer: t**(-160\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 410 is divided by 121.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-8)\/(-5))\/(2\/5). Suppose -l + 25 = u*l. Suppose l*w - 276 = 234. Does 35 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -36 + (16 + -35 - -74)\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 14415305 + 278340.\nAnswer: 14693645","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sum 8 and -14309298199.\nAnswer: -14309298191","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 16*s**3 - 45*s - 56. Let z(q) = 5*q**3 - 15*q - 17. Let y(l) = 2*p(l) - 7*z(l). What is the derivative of y(o) wrt o?\nAnswer: -9*o**2 + 15","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1271 and 14632?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1.6 and 2471489.\nAnswer: 3954382.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide 12760 by 2552.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -i - 5. Let h be -1 - 2\/(-1) - -10. Let z(f) be the second derivative of f**2\/2 - 2*f. Let j = 562 - 560. Calculate h*z(g) + j*w(g).\nAnswer: -2*g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -4.8, 1, 25, 1.4473 in decreasing order.\nAnswer: 25, 1.4473, 1, -4.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -772, -1543, -2314, -3085?\n\"Answer: -771*n - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -825 = -39*v + 14*v. Calculate the lowest common multiple of v and 24.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18 (base 13) in base 2?\nAnswer: 10101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 39 - 17 + 4*z - 16 - z + 0*z + 0*z + (2 + 2 - 3)*(3 - 3 - 2*z) in the form y*z + m and give y.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5102 - -5072. Let l be (1 - 131\/124)*10. Let w = 2\/31 + l. Which is greater: w or u?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -35*v + 2. Let u(d) = 2*d - 1. Let t(z) = 4*u(z) + 2*y(z). Let h(s) = 2*s. Give h(t(r)).\nAnswer: -124*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + -5 + (sqrt(180) - (sqrt(180) + -2 + 3)) + (sqrt(180) - (sqrt(180)*-1 + -3 + sqrt(180)) - (2 + sqrt(180))*4)*-1)**2.\nAnswer: 1620","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -9? (a) 0.1 (b) -2.6 (c) 5\/4 (d) 1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) -22 (b) -2 (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*(o\/(o*o\/(o**6*o)*o))\/o*o*o*o)\/(o*o\/(o*o\/o**(-4)*o)))**(-2\/41)\/((o*o**(-2\/3)*o*o*o)**43)**39 assuming o is positive.\nAnswer: o**(-229216\/41)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = n**2 + 91. Let p = -10 - 0. Let d = 10 + p. Is o(d) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 285*b**2 - 237*b + 2634. Let t(h) = -95*h**2 + 83*h - 877. Let m(g) = 17*t(g) + 6*w(g). Differentiate m(q) with respect to q.\nAnswer: 190*q - 11","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*n - 5*q - 0*q + 116, 5*n = -3*q + 220. Let v = 47 - n. Solve v = 4*o + 16 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 71175 - 40706. What are the prime factors of o?\nAnswer: 30469","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**(-1\/7)\/((h\/(h**14*h))\/h)*(h\/(h**(-8)*h))**(-22) assuming h is positive.\nAnswer: h**(-1128\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 371 a multiple of 129?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2010506364 to the nearest integer?\nAnswer: 44839","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*d + d + 2*d)*(-2*d**4 - d - 2*d + 2*d) + 8 + 4*d**5 - 8.\nAnswer: 6*d**5 + d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + -30 + 41 + 3 + -2?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/15 of a minute in milliseconds?\nAnswer: 8000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qqzq when four letters picked without replacement from {q: 14, z: 4}.\nAnswer: 91\/765","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/(q*q**(2\/9)))**19*((q\/(q**(3\/23)\/q))\/q*q)\/((q\/q**(2\/15))\/q) assuming q is positive.\nAnswer: q**(-2297\/1035)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 121 - 2*x + 2*x - x - 13.\nAnswer: -x + 108","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -a**3 + 5*a**2 + 2*a + 3. Let y be l(5). Let u(j) = 14*j - 24. Let q be u(4). Let z = q - y. Solve -2*g - 3*g + 20 = -3*v, 0 = 4*v + g + z for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + (sqrt(147) - (sqrt(147) - ((sqrt(147)*-1 - sqrt(147)) + sqrt(147) + 2)))**2)*-6*-4.\nAnswer: -672*sqrt(3) + 3624","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 3 - -11?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -s**3 + 20*s**2 + 24*s - 32. Calculate v(21).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1695382*j**2 + 847689*j**2 + 847692*j**2.\nAnswer: -j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (((-336)\/(-10))\/(-7))\/((-10857)\/3290)\nAnswer: 16\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 76198, 76932, 78164, 79894, 82122, 84848?\n\"Answer: 249*j**2 - 13*j + 75962","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 5*q + 1. Let o(n) = -9*n - 2. Let y(a) = -11*m(a) - 6*o(a). Let f(c) = -3*c + 4. Give -2*f(x) + 7*y(x).\nAnswer: -x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -4312420 (base 7) to base 10\nAnswer: -524314","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 39\/(-4)*8\/(-2). Suppose -3*z + 31 = 169*m - 167*m, -12*z + 2*m = -14. Put z, 1, v in descending order.\nAnswer: v, z, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10855 = 2*b + k, 2*b - 2*k = 7239 + 3631. Is 30 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -0.5, 5, 1, -668, -0.2 in ascending order.\nAnswer: -668, -2, -0.5, -0.2, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mq when two letters picked without replacement from qqqmqmqqxmqqmmmxqqq?\nAnswer: 11\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -29\/287 and -97\/35588.\nAnswer: 35588","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -2\/5, -18, -0.13 in descending order.\nAnswer: -0.13, -2\/5, -5, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 337 minutes before 7:08 AM?\nAnswer: 1:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 24*y**2 + 3 - 4 - 2*y**2 with respect to y.\nAnswer: 44*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jj when two letters picked without replacement from {m: 9, j: 2}.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -3, -48, 2, -8, 1 in increasing order.\nAnswer: -48, -8, -3, 1, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 9 + -5. Suppose 0 = x*s - 6 + 2. Let n(w) = 2 + 8*w - 2. Give n(s).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 41 + -17. Let v(g) = g + 6. Calculate the remainder when o is divided by v(7).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -7 or 2\/17?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3492167401.\nAnswer: 137, 347, 73459","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d**(1\/5))**(3\/19)*d**(-14)\/(d\/((d*d**30\/d*d*d)\/d)) assuming d is positive.\nAnswer: d**(1538\/95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 45947623 a multiple of 49?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -9*p + 11. Let f(l) = -l + 1. Let o(c) = 44*f(c) - 4*w(c). Let j be o(3). Let h = j + 26. Solve 0 = h*x + 5*z - 11, -x = -2*z + 8 - 0 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -11*h - 5. Suppose 2*k + 11 - 45 = 0. Suppose 0 = -k*z + 12*z + 25. Let a(p) = 6*p + 3. Give z*a(m) + 3*n(m).\nAnswer: -3*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) be the second derivative of -f**5\/20 - f**4\/6 + f**3\/6 + f**2 - 5*f. What is n(-2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 39.549 - 39.704326. Let g = b - -0.155. Round g to four dps.\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -2438, 8, 4, 2, 36, 19 in decreasing order.\nAnswer: 36, 19, 8, 4, 2, -4, -2438","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (-1 + (sqrt(275)*-1 - sqrt(275)))**2 + -4 - ((sqrt(1584) + -1 + sqrt(1584) + 2)**2 + (sqrt(5324) + -1)**2).\nAnswer: -10567 + 16*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 32218388?\nAnswer: 2, 8054597","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (1 - -15) + (-16 - -4 - -3)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b = -3*b + 5, 0 = 3*o - 2*b - 17. Suppose -3*y + y + i + 1 = 0, -5*y - 4*i = 4. Let a = y - -18. Calculate the highest common factor of o and a.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 10 + -11. Let g(u) = 2 + 0 - 1 - 6*u. What is the units digit of g(d)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 96 divide 1237778765?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/3)\/(3*8\/108).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -14*i*k**4 + 2*i*k**3 + 4*i*k + 3*k**4 - 9*k + 2 wrt k?\nAnswer: -168*i*k**2 + 12*i*k + 36*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 1543\/(-28) - (-705)\/6580\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -327 + 324. Which is the nearest to 0.2? (a) 0.2 (b) 6\/7 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (51*u + 9259 - 9259)*(2 - 4 - 1)*(6*u + 6 - 6)*((5 - 1 - 3)*(1 + 0 - 3) + 4 + 0 - 6).\nAnswer: 3672*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 58.23404 decades in years?\nAnswer: 582.3404","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1682 and 87458113.\nAnswer: 841","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -5*r**2 + 182*r + 110. Let q be j(37). Which is the closest to q? (a) -0.353 (b) 0.09 (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -13*c**3 + 9*c**2 - 4. Let g be (3\/5)\/(6\/30). Let k(y) = 4 - 2*y**2 + 4*y**2 - 3*y**3 + 0*y**g - 5. Give 9*k(x) - 2*v(x).\nAnswer: -x**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 88 - 87.195. Let w = b - -0.195. Put 2\/5, 0.1, w, 73 in increasing order.\nAnswer: 0.1, 2\/5, w, 73","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 6\/7? (a) -4\/127 (b) 26 (c) 1\/5 (d) 17 (e) 3\/2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2\/130288399 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 84594654 and 71.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*w**4 - w**4 - w**4 + (2*w - w + 0*w)*(3*w**3 - 4*w**3 + 0*w**3) + 5*w - 5*w - 3*w**4 as r*w**2 + o + h*w + x*w**3 + p*w**4 and give p.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = j**2 - 10*j + 10. Let l be r(3). Let a = 9 - l. Let z = a + 68. Calculate the highest common divisor of z and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = n + 9. Let f be c(-9). Suppose -2*k + 7 + 1 = f. Determine p, given that 39*p**3 + 84*p**k + 4 + 6*p**4 - 3*p - 60*p**2 + 2 = 0.\nAnswer: -1, -1\/3, 2\/5, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 times -0.0513\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bbbhbmpmppbabb. What is prob of picking 2 b and 1 p?\nAnswer: 9\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 42366353?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 15659024 to the nearest integer?\nAnswer: 250","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 61984 a multiple of 208?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = u**3 + 10*u**2 - 13*u - 17. Let s be z(-11). Suppose 15 = 4*p - 0*p - 3*o, 4*o = -s*p - 20. Sort -5, p, 3, 4.\nAnswer: -5, p, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) be the third derivative of -x**6\/4 - x**5\/30 - x**4\/24 - 5*x**2. List the prime factors of o(-1).\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 303575?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by -341847?\nAnswer: -5\/341847","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - -30) + -54 + 78 + -47.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11110000001100 + -110011011111?\nAnswer: -100100011101011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -30*0.64689.\nAnswer: -19.4067","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -393*x - 60456 = -622*x. Is 3 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -2*v - 24. What is b(-8)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.163 - 67630.\nAnswer: -67631.163","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve s - 97 = -f - 115, -3*s = -2*f - 21 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 51749\/28840 - 50\/721. Calculate the common denominator of 38\/25 and t.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -42*d**2 - 16*d + 24. What is t(2)?\nAnswer: -176","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n = -3*m + 69, -8*m - 642758*n + 179 = -642759*n for m.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 10\/7 (b) 8 (c) -1\/2 (d) 6663\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 3\/((-26)\/114 + 138\/(-1311))\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18477179 is divided by 9238473.\nAnswer: 233","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1588 times -4?\nAnswer: -6352","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2\/7, 2, -5, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -19*n**2 + 363*n - 11. Let t(c) = 3*c**2 - 2*c - 1. Give o(i) + 6*t(i).\nAnswer: -i**2 + 351*i - 17","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 239047 to the nearest one hundred thousand.\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -11*x**2 - 7*x + x**3 + x + 7*x**2. Let w be a(6). What is the highest common divisor of 12 and w?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.32 + -0.36. Which is the closest to 0.1? (a) 0.5 (b) 4 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:18 AM and 12:27 PM?\nAnswer: 249","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + -1 + -7 + 5 + 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/13 in -14, 3\/5, 0.3, -31\/4, 0.4?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.014 + 90.014. Let f = 95.1 - k. Let h = f + -5.19. Round h to one decimal place.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5877539 + 5877544.249011. Let h = 5.25 - v. What is h rounded to five decimal places?\nAnswer: 0.00099","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 471027 to the nearest integer?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1468804 is divided by 687.\nAnswer: 685","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*o**3 + 3464*o**2 + 16052*o - 3945680.\nAnswer: 4*(o - 31)*(o + 37)*(o + 860)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -1. Let k(b) = 8*b - 8. Let y(f) be the first derivative of -7*f**2\/2 + 7*f - 5. Let i(l) = 6*k(l) + 7*y(l). Calculate i(v) + j(v).\nAnswer: -v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -3*y**3 - 4*y**2 + 5*y + 9. Let r(n) = n**2 + 736*n - 737*n + 4*n**3 - 12*n**3 - 1 + 9*n**3. Calculate -l(w) - 4*r(w).\nAnswer: -w**3 - w - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -645 - -13?\nAnswer: -632","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 3*z - 45 = 0, -3*m + 5*z = m - 58. Suppose 7 = -5*w + m. Put -15, w, -1 in ascending order.\nAnswer: -15, -1, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 12 and 3909?\nAnswer: 3897","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 9 - 7. Suppose -n*t + 1 = -3*t - 3*s, 2*s = -4*t + 16. Suppose -2*u - 9 = -l + t, 3*u - 67 = -4*l. Solve -11 = -h - 5*r, 0*h + h - 4*r + l = 0 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 69.86458 meters?\nAnswer: 69864580000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/4 in -5, -0.1, -1\/6, -24?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0066378 to 4 dps.\nAnswer: 0.0066","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(1200) - (sqrt(1200) + 0 - sqrt(1200))) - (sqrt(1200) + -1)*-2)**2.\nAnswer: 80*sqrt(3) + 1204","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10713281*0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 75 - 29. Let r = d - 40. What is the greatest common factor of 48 and r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kwwsxsyii. Give prob of sequence wx.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d + 9 = -3*f, 0 = 2*f - 2*d + 5*d + 5 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*((sqrt(56)\/(sqrt(7)*-2))\/sqrt(4) + (4*sqrt(98) + sqrt(2))*-1 + -2)**2.\nAnswer: 708*sqrt(2) + 10467","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -1799, -3599, -5399, -7199?\n\"Answer: -1800*q + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9*d**2 - 7*d**2 - 4*d**3 - 2 + 25*d**2 - 13*d**3 + d**3 to the form a*d + z + p*d**2 + t*d**3 and give t.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:37 AM and 11:33 AM?\nAnswer: 176","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*k*w**3 + 2*k*w**2 + k + 39*w**6 + 53*w**2 wrt w.\nAnswer: 18*k + 4680*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -d**3 + 25*d**2 - 47*d + 26. Let v be w(23). Solve v = -2*t - 1 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 3*g. Suppose -3*l + 0 - 24 = -3*x, 5*l + 4*x + 13 = 0. Let t(q) = 7*q. Determine l*h(f) + 2*t(f).\nAnswer: -f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide -942 by 3.\nAnswer: -314","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 74 divide 190698?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*r**2 - 68*r**3 + 73*r**3 - 10*r**2.\nAnswer: 5*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 0*k**2 + 6*k**2 - 3*k**2 - 9 - 2*k**2 - 7*k. What is the tens digit of x(10)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*b**2 - 6*b**2 + 3*b**2)*(-640 - 28 + 139).\nAnswer: -529*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (18\/(-15))\/((-12)\/5 - -2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 879, 81.\nAnswer: 2, 81, 879","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 + 4 = 2*n. Let u = n - -9. Suppose -4*x + 6*d = 2*d - 12, 5*x - 3*d - 17 = 0. Solve 15 - 3 = -4*a + 4*r, a - u = -x*r for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10167853049 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is five sixths of a decade in months?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 3*q + 77. Let j be u(-24). Suppose c - j*c = -8. Suppose -c*d = 2*i - 7*i + 638, -4*i + 2*d = -512. What are the prime factors of i?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -18*p*s**3 - 24*p*s - 5*s**4 + s - 6 wrt s?\nAnswer: -108*p*s - 60*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3972354?\nAnswer: 2, 3, 662059","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find p, given that -p**4 + 277*p**3 - 275*p**2 - 277*p + 276 = 0.\nAnswer: -1, 1, 276","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -28 divided by -1074.\nAnswer: 14\/537","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/(k\/k**(1\/2)))**(-48)*k\/k**9*k**(-1\/6)\/k*k assuming k is positive.\nAnswer: k**(-193\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 1 = -3*w - 0*q, 2*q + 6 = -2*w. Suppose 16863 = 5*k + 3*z - 3164, 0 = w*k + 2*z - 8010. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 151*a - 209 = -139*a + 309*a for a.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -197.76033014 to 1 decimal place.\nAnswer: -197.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y = -4*f - 312, 418 = -5*y - f + 3*f. Let j = y - -148. Suppose 0 = 5*i - j - 59. What are the prime factors of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -20 or 2\/13015013?\nAnswer: -20","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -87*v + 3136. Let o be k(36). Which is the biggest value? (a) -2\/9 (b) 0.0209 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5373, -10717, -16019, -21261, -26425, -31493, -36447, -41269?\nAnswer: -45941","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -84, -85, -86, -87, -88, -89?\n\"Answer: -d - 83","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (j**2 - 3*j**2 + 3*j**2)*(-22 - 108 + 224)*(-2 + 6 - 2)*(2 + 2 - 5)*((-7 + 3 + 3)*(0 - 4 - 1) + 4 - 2 + 0).\nAnswer: -1316*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 13\/14350 and -54\/287?\nAnswer: 14350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) be the second derivative of -4*l**3\/3 + 55*l. Let p be ((-224)\/(-140))\/((-6)\/15). Calculate d(p).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -5757*k - 5766*k + 11521*k. Let w(q) = -201*q. Calculate s(w(o)).\nAnswer: 402*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00002024233 to 6 decimal places.\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -763*f - 305395 + 262667 = 0 for f.\nAnswer: -56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -16 (base 7) to base 14.\nAnswer: -d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 141\/231 + 4\/(-22) + 0.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v**0)**(2\/117)\/(v**4\/(v**(1\/2)*v))*(v**(1\/2))**(5\/19)*((v\/v**(-1))\/v)**(-2\/81) assuming v is positive.\nAnswer: v**(-47537\/20007)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 7236386473 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 6*y - 3*y + 3 + 0*y + y**2. Let b be c(-3). Let s = 65 - 41. What is the highest common divisor of s and b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l + 33 = 9*l - 3*q, -5*l + 3*q = -39. Suppose -5*k + l = -4. Solve k*b - 4*b = 10 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1131 + 1140 - (40 - 0)\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*l - 11*l + 3*l.\nAnswer: l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 10072 divided by -71?\nAnswer: -10072\/71","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1076.4 and -3212?\nAnswer: -3457396.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-5 + 9 - -3) + -3. Solve -3*c + 2 = -t*c for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 3*r - 3. Suppose -h + 10 = h. Determine u(h).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 3*f**3 + 6*f**2 + 35*f - 7. Let d be h(6). Is 9596\/9 >= d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -1800*u + 149575. Determine x(83).\nAnswer: 175","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + (-5 + sqrt(15)\/sqrt(3) - (sqrt(175)\/sqrt(5))\/sqrt(7)))**2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 8*z**3 + 3*z**2 - 3. Let b(h) = 15*h**3 + 5*h**2 - 5. Let j be 2\/4*100\/(-90)*-9. Give j*k(m) - 3*b(m).\nAnswer: -5*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = g**2 - 13*g + 36. Let f be p(8). Let c(s) = -5*s + 2. Determine c(f).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -13 - -27. Suppose -6 = p - 2. Let b(d) = 4*d + 20. What is the least common multiple of u and b(p)?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*r - 0*x - 2*x + 2, 5*r - 26 = 4*x. Which is smaller: r or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 166\/(-1245) + 317\/465. Which is bigger: 1 or p?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - (-1 + 4 - 3).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 8036 to the power of 1\/2, to the nearest integer?\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1574 is divided by 21.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 257168 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: Is 791 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -539 divided by 11?\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -57 - -62. Let b be 5 - (-1)\/1*-3. Solve 3 - 1 = -4*g - b*y, 0 = 5*g - l*y - 35 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/(-2)*34\/17.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9905.151 centuries in years?\nAnswer: 990515.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*b**3\/9 + 220*b**2\/9 - 6838*b\/3 + 6612.\nAnswer: 2*(b - 58)*(b - 3)*(b + 171)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 10975 and 1900.\nAnswer: 834100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in 0, -2139\/50, 3, 1, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 105482560, 105482563, 105482566, 105482569, 105482572?\nAnswer: 105482575","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = z + 6. Let o(f) = f**3 - 9*f**2 - 3*f + 29. Let c be o(9). Let d(p) = p**2 + 4*p + 25. Determine c*d(j) - 9*s(j).\nAnswer: 2*j**2 - j - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -s**3 + 19*s**2 - 39*s - 41. Give m(17).\nAnswer: -126","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -373019\/1438 or -258?\nAnswer: -258","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 1\/28, 1 in descending order.\nAnswer: 1, 1\/28, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1684 is divided by 154.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -586 divided by 1\nAnswer: -586","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 175\/212 - 5587\/1696. Find the common denominator of -7\/60 and q.\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 76, 74, 70, 64, 56, 46, 34?\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or -2\/25406019?\nAnswer: -2\/25406019","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -20*6\/6*(-27)\/(-45)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 5965110419 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:54 PM and 6:04 AM?\nAnswer: 490","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: ((-48)\/(-90))\/((-18)\/(-45))\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.17 + 0.22. Let i = 1.95 + c. Do i and -5 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*p = -d - 38, 9*d + 214032 = 4*p + 213886 for d.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -18*v**2 - 25*v + 184. Determine f(0).\nAnswer: 184","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Let m = 89 + -171\/2. Let y be (1 + 2)*(-4)\/(-42). Which is greater: m or y?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (816\/(-44) - (-54)\/99)\/(273\/(-52)).\nAnswer: 24\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 2 (b) 0.4 (c) -5 (d) -22\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 27.1 - 27. Round n to one decimal place.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -q**3 + 33*q**2 - 35*q + 96. Let d be p(32). Suppose t + 3*i - 1 + 2 = d, 3*t + 5*i = 5. Solve -t*w - 17 = 2*f, 0 = -0*f - f + 4 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -2*o - 2. Let a be r(-6). Suppose -3*h + 8 = -a. Suppose 12*n - h = 9*n. What is the lowest common multiple of 4 and n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-212 + 214)\/(2\/(-6))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 988328 is divided by 121?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 3*n + 2 = 0, 4*i - n - 8 = -0*n. Suppose g + i*g + 6 = 0. Let f be (-14)\/g + -2 + -1. Solve 3 = f*a - 1 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 203\/196 + 6\/(-8). What is the smallest value in -4\/5, n, -2\/13?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1653 - 15454?\nAnswer: -20440","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 126\/9 - 35 - -5.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 42002 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/(d\/d**(-2\/13)))\/(d*d*d**(-3)\/d*d*d))\/(d*d**0\/d*d)**(-33) assuming d is positive.\nAnswer: d**(427\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6460, 6403, 6240, 5917, 5380, 4575?\nAnswer: 3448","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1666 and 3?\nAnswer: 4998","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vvq when three letters picked without replacement from qqvvvvvvqvvqvvvqvq?\nAnswer: 11\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 285472 is divided by 142697.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 30989304?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*z + 0 + 0)*(0 - 1 - 1) + 0*z + 0*z - 4*z.\nAnswer: -8*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*u = -d + 20 - 1, 15366*d = 3*u + 15259*d + 333 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*o = -2*h - 33, -2772*o - 1 = 4*h - 2769*o for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = -a + 121 + 55, -3*a - 3*j = -525. Calculate the greatest common factor of a and 899.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 5*p**2 + 4. Let d(k) = -6*k**2 - 5. Suppose 20 = 5*s - 0*s. Let h(b) = s*d(b) + 5*i(b). Let q(c) = 72 - 72 - 6*c. Determine h(q(w)).\nAnswer: 36*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 18*v**2 + 3 - 3.\nAnswer: 18*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1224*p**5*s + 2*p**5 + 2*p**3 + 35*p**2*s + 28*p*s wrt p?\nAnswer: 73440*p**2*s + 120*p**2 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -4966 equal to -2229975\/449?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 101*y = 106*y - 25. Suppose y*t - 402 = 2*t. Calculate the smallest common multiple of t and 16.\nAnswer: 1072","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 336?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -t**3 - t**2 + 2*t - 3. Let y(d) = d**2 + 11*d - 3. Let r be y(-11). Calculate o(r).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -25 + 33. Suppose -83*i + j = -84*i + 7, -2*i = -5*j - 49. Solve y*h + i = 5*h for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*d + 0*d + 2*d)*(-1 + 3 + 0) + (18 + 86 + 42)*(-4 + 4 - d) - 2 + d + 2 to k*d + w and give k.\nAnswer: -141","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1886 + 13409. What is the remainder when z is divided by 25?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 2 - 2*n**2 - 5 - 5*n**2 - 2 + n**3 - 6*n. Calculate the remainder when s(8) is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -320*g - 314*g + 8856 = -388*g for g.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yllzeelyyeteyky. Give prob of picking 1 z, 1 l, 1 e, and 1 y.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -81 = -27*w, 0*u - 5*w = 2*u - 13 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7347640?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 15280 and 672.\nAnswer: 641760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -27*o**2 + 110*o - 4. What is m(4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8 + 11*b + 7*b + 6 - 21.\nAnswer: 18*b - 23","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -32 + 54. Let t = 9 - u. Let j = -1 - t. What is the tens digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -13 + 27. Let f = 19 + 7. Suppose -s + 3*m = -0*m - f, 5*s = -2*m + 181. What is the highest common factor of v and s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 47, 58, 75, 98, 127, 162?\nAnswer: 203","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*n - 4*s - 8, -562*n + 1 = -557*n + 3*s for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 5*o - 17. Let l be n(8). Let w = -38 + l. What is the hundreds digit of (12\/w)\/(-2*1\/350)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -9*l + 68. Let a be v(5). Suppose -12*x - 55 = -a*x. Solve 2*g - g = q + 2, 4*q + x*g = 1 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nnn when three letters picked without replacement from {r: 5, n: 14}?\nAnswer: 364\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -577 divided by 3\nAnswer: -577\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 6198\/(-3)*(-3)\/6. Let i = o + -673. Suppose -p = 4*p - 4*g - 360, 5*p - g = i. Does 19 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 79099, 79192, 79285, 79378, 79471, 79564?\n\"Answer: 93*d + 79006","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 4 + (0 - 2)*1. Suppose 0 = -a*i + 10. Let p(t) = i - 2 - 2*t - 5. Give p(-4).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 1612499*c**3 + 3*c**2 - 4*c + 4. Let d be z(2). Round d to the nearest one million.\nAnswer: 13000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*c = -129 + 393. Suppose 2*u - 17 = 5. Calculate the greatest common divisor of u and c.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 13587474 to the nearest integer?\nAnswer: 239","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(4\/5)\/(a**(-18)\/a))**(-27) assuming a is positive.\nAnswer: a**(-2673\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -785089048 or -785089049?\nAnswer: -785089048","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 10, q: 7, h: 1}. Give prob of picking 1 q and 2 h.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 p when two letters picked without replacement from {k: 6, p: 2}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 547.\nAnswer: 547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 2*p + 6 = 0. Let t(q) = -q - 5 - p + 7. Let r(x) = -3*x + 3*x - 2*x**2. What is r(t(v))?\nAnswer: -2*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -k + 3. Let n(l) = -5*l + 15. Let v(b) = -11*m(b) + 2*n(b). Let r be v(-5). Let f = 12 + r. Sort 1, -2, f in decreasing order.\nAnswer: f, 1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -4*q**4 - 24*q**3 - 14*q**2 + 3*q. Let y(s) = -s**3 - s**2. Let w(o) = -l(o) + 6*y(o). Find the third derivative of w(g) wrt g.\nAnswer: 96*g + 108","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -m**2. Let p(s) = 2*s + 5. Let t be p(-5). Let k = t - 2. Let v(n) = -2*n**2. Let c(f) = f**2. Let g(a) = k*c(a) - 3*v(a). Give j(g(q)).\nAnswer: -q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 371\/776 + -10\/97. What is the third smallest value in -1\/6, 2\/7, 3\/7, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2223747 (base 8) in base 3?\nAnswer: -1010111002200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t\/(t*t**(-1)\/t)*t\/t**(3\/8)*(t\/(t\/(t*t**2*t)))\/t**(-1\/4) assuming t is positive.\nAnswer: t**(55\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 27 - 2. Calculate the remainder when 49 is divided by y.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-6))**35 assuming a is positive.\nAnswer: a**(-210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*s - 2*s + 20. Let z(w) = w + 1. Let k be z(1). Solve -s = l + 4*c, k*c + 0*c + 2 = 0 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 0.04 and -375160 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = i + 3. Let n be j(0). Let z(s) = 4*s - n*s - 4*s. Let y(p) = -2*p. What is y(z(v))?\nAnswer: 6*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) be the third derivative of g**5\/90 - g**4\/2 + 17*g**3\/9 + 2*g**2 - 37*g. Find k, given that c(k) = 0.\nAnswer: 1, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 34774268*s**4 + 1064*s**2 + 83251*s wrt s.\nAnswer: 834582432*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -3 (b) 13\/2 (c) -2\/111 (d) 0.541\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22 - 98 - 4 = -22*a + 4*z, 0 = a - 4*z + 2 for a.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1\/9, 31, -4.1, 0.6, -10, -3?\nAnswer: -4.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37*s + 8*s = 7*s. Solve s = 4*g - 65 + 29 for g.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -4*s + 3. Let x(d) = -5*d + 4. Let t(v) = 4*f(v) - 3*x(v). Let n(k) = -k**2 - 23*k + 23*k + 3*k**2. What is t(n(l))?\nAnswer: -2*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2.96 + -0.04. Let j = 36.4 + -46. Let v = j - -10. Which is the closest to -1\/3? (a) v (b) -1 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-14 - 8 + 23 - 13*o**2)*(-6*o - o + 4*o)*(-1 - 3*o + o + 3*o) to f*o**4 + l*o**2 + y*o + c + k*o**3 and give k.\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 95220*x**4 - 379500*x**3 + 375365*x**2 + 5500*x + 20.\nAnswer: 5*(x - 2)**2*(138*x + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -228*c + 211*c + 357 = 0 for c.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -z + 6. Let q = 8 + -1. Let i be o(q). What is the smallest common multiple of 14 and 210\/12 - i\/2?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z + 2*o - 6*o + 7 = 0, -2*z - 4*o = 14. Let a be -9 + 16 + (z\/3 - 4). What is the nearest to 0.2 in 1, 10\/7, a?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-2 + (-820)\/(-15))*3.\nAnswer: 2, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -4*3\/72 - (-1)\/2. Let z(b) be the second derivative of -1\/60*b**5 + 1\/9*b**4 - b + j*b**2 + 0 - 5\/18*b**3. Let z(d) = 0. Calculate d.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -532103 and -14.\nAnswer: -532117","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 101110011110001 (base 2) to base 5\nAnswer: 1230133","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w = -5*k - 177, 3*w + 2*k = 2*w - 48. Let u = -57.4 + -6.6. Let t = u - -63. Which is bigger: w or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -21 or -959\/48?\nAnswer: -959\/48","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -7*o**3 + 3*o**2 - 3*o + 3. Suppose 3*f = -5*r + 30, 0 = -5*f - 4 + 29. Let d(n) = -8*n**3 + 2*n**2 - 2*n + 2. Calculate r*d(t) - 2*b(t).\nAnswer: -10*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -458, -454, -448, -440, -430, -418?\nAnswer: -404","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) be the first derivative of -8*i**5 + 4*i**3\/3 + 163*i - 212. What is the first derivative of a(l) wrt l?\nAnswer: -160*l**3 + 8*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 400, 1625, 3674, 6547, 10244, 14765?\nAnswer: 20110","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -3*1\/1 + -2?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k - 2 = -14. Is (-30)\/k*329\/(-14) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5 - -5. Suppose z*u - 60 = -4*u. Does 10 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1474063 (base 9) to base 5\nAnswer: -202112122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 18624?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 18295?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 58 = -13. Let w be 3*2\/x - 1. Let z = -53 - -55. Which is the third smallest value? (a) z (b) 3 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -5103, -5144, -5207, -5292, -5399?\n\"Answer: -11*f**2 - 8*f - 5084","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ppzz when four letters picked without replacement from {p: 9, z: 2}.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 15 and 260.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 47*q - 90. What is p(-2)?\nAnswer: -184","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(297)\/(sqrt(9) - (sqrt(9) - (sqrt(729) + sqrt(729)*6 - sqrt(729)))))\/(sqrt(24)\/(sqrt(200) - sqrt(200)*-4)).\nAnswer: 25*sqrt(11)\/54","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 169*s - 3*s + 664 = 0. Let h(u) = -11*u**3 - 7*u**2 + 5*u. Let t(z) = 6*z**3 + 4*z**2 - 3*z. Let y = -3 + 14. Let d = 4 - y. Calculate d*t(f) + s*h(f).\nAnswer: 2*f**3 + f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 458 minutes before 8:21 PM?\nAnswer: 12:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(147)*3*-6 + 0 + 3*sqrt(147) + (-6*(sqrt(147) + 1 + sqrt(147) - sqrt(147)) - (-1*sqrt(147) + -3)**2) + 4.\nAnswer: -189*sqrt(3) - 158","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -j**3 - 18*j**2 + 22*j + 71. Let i be b(-19). Solve 3*v - i = 2*v + 5*m, 5*m = 6*v - 9 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -r + 2. Let c be -1 - 1 - (0 - 0). Suppose 2*t - 3*h - 5 = 0, 1 = 4*t - h - 24. Let k(b) = -7*b - 12*b + 22*b + 7 - 6*b. Give c*k(s) + t*l(s).\nAnswer: -s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z = -2*d + 244, -4*z - 110 = -5*d - 397. What are the prime factors of (-2)\/(-6) + z*78\/54?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -16*w**5\/5 + 135348*w**4\/5 + 1728356*w**3\/5 - 575892*w**2\/5 - 345668*w + 440544\/5 = 0. Calculate w.\nAnswer: -13, -1, 1\/4, 1, 8472","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -92150, -184297, -276442, -368585?\nAnswer: -460726","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = -5*t. Let y(k) = k**3 + 12*k**2 - 63*k + 14. Let l be y(-16). Which is greater: t or l?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -241 + 43 = -9*d. Let l be (-2)\/((-4)\/(-3) - 2). Suppose a + l*r + 5 - d = 0, 2*a - 6 = r. Which is smaller: a or 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven quarters of a kilometer in meters?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 271*r + 1223. Determine z(-4).\nAnswer: 139","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -11 (base 2) to base 11\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = h**3 - 5*h**2 + 4*h + 3. Let n be s(4). Suppose 0 = 3*l - 0*l - n. Let m = 0.04 - 0.44. Which is the third biggest value? (a) m (b) -3 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 233*f - 2381 = -124*f + 2260 for f.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 2*g = -2*g + 2, 3*g - 13 = -2*z. Let w be 2\/(-6) + 3\/9. Let j = 129 - 129. Solve 2*r + 3 = -p, 3*p - z*r + w*r - 23 = j for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:53 PM and 9:48 PM?\nAnswer: 295","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2696?\nAnswer: 2, 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 2*g**2 + 5*g - 2. What is the remainder when 47 is divided by r(-4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4 + -14. Let g = -3 - f. Let r(t) = 2*t**3 - 3*t**2 - 2*t + 4. What is the remainder when r(3) is divided by g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = q**2 + 7*q + 2. Let x be r(-6). Let y = -2 - -7. Which is the smallest value? (a) x (b) y (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -119788 divided by -4\nAnswer: 29947","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 49586\/7 + -7068. Let y = 537\/56 - f. Calculate the common denominator of y and -139\/6.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u + 0*s + 2 = -2*s, 2*u = -2*s for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -23 - -23. Suppose 6*l - 11*l = -x + 4310000, 2*x + 3*l - 8620000 = g. Round x to the nearest 1000000.\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*o + 27 = -5*o. Let w be 4\/18 - (-3049)\/o. Is 3\/1*w\/9 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2 + (-44)\/(-30))*603\/991734. Which is greater: c or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -150*q**2 - 69*q - 22. Let c(u) = 38*u**2 + 17*u + 5. Let o(n) = -2*b(n) - 9*c(n). What is the second derivative of o(g) wrt g?\nAnswer: -84","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 22 - 10. Suppose -d + 5*d = t - u, -3*t + d = -25. Let i be 4 - 4 - (-62 + -2). Calculate the greatest common factor of t and i.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i\/(i*i**(-2))*i\/(i\/i**(-3\/2))*(i**(8\/7)\/i*i)\/(i*(((i**(-5)*i)\/i)\/i)\/i) assuming i is positive.\nAnswer: i**(107\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 2 - 15 = 5*q, 2*h - 29 = 5*q. Let n = 20 - h. Let y = n + -9. Which is smaller: y or -3\/11?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) be the third derivative of j**5\/20 + 25*j**4\/4 + 625*j**3\/2 + 5*j**2 + 31*j. Factor f(u).\nAnswer: 3*(u + 25)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 25600 to the nearest 100000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 706*g - 17288 = -15170 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 15294845*i**2. Let p(n) = -6*n - 2. Calculate p(r(z)).\nAnswer: -91769070*z**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11 + -11000000?\nAnswer: -10111101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 168*z = 237*z - 1725 for z.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 12455, 12485, 12501, 12497, 12467, 12405, 12305, 12161?\nAnswer: 11967","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange n - 6 + 6 + (1 - 3 + 0)*(3*n + 0*n - n) + (8616 + 7879 - 15690)*(3*n - 2*n + 0*n) to the form l + t*n and give t.\nAnswer: 802","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8*w**2 + 7*w**2 - 7*w**2)*(-3*w + w + 4*w) - 2 + 2*w**3 + 2 + w**3 - 4*w**3 + 2*w**3 - w**2 - 2*w**3 + w**2 + (-4*w**2 + w**2 + w**2)*(3*w - 2*w - 3*w).\nAnswer: 19*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -2 + (-2)\/(4\/(-10)). Suppose -z*w - 138 = -3*d, 5*d + 0*w = w + 218. What are the prime factors of d?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 5 (b) -5 (c) 4\/23 (d) 4 (e) 0.2 (f) 2\/3\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*u + 0*u - u)*(3*u**2 - 2*u**2 + u**2) - 6*u**3 - u**3 + 3*u**3 to n*u + h + g*u**2 + f*u**3 and give f.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = -3*j + 150, -3*g - 240 = -0*j - 5*j. Is (55\/j + 6\/(-27))*90 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:45 AM and 10:03 AM?\nAnswer: 558","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/7? (a) 1\/16 (b) 3 (c) -1184\/7 (d) -14.29\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*i**3*j**2 - 2*i**3*j - i**3 - 9482*i**2*j**2 - 2*i**2*j + 25*i*j + 4*i - 18*j**2 wrt j.\nAnswer: -4*i**3 - 18964*i**2 - 36","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*b**2 + b**2 + b**2)*(4 - 3 + 1)*(-11 + 30 + 44)*(-284*b**2 - 11*b + 282*b**2 + 2 - 21*b) as s*b**4 + k + h*b + v*b**2 + c*b**3 and give s.\nAnswer: 504","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put together -2 and -806.019.\nAnswer: -808.019","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -271672, -271674, -271686, -271714, -271764, -271842, -271954?\n\"Answer: -z**3 + z**2 + 2*z - 271674","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gnukjlug. What is prob of sequence gg?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 82, 78\/19, -0.073 in increasing order.\nAnswer: -0.073, 78\/19, 82","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (18\/(-4))\/(8*(-72)\/(-1536)).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6701, 13398, 20085, 26756, 33405?\nAnswer: 40026","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -367, -361, -367, -391, -439, -517, -631?\nAnswer: -787","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2528, 5126, 7760, 10418, 13088, 15758, 18416, 21050?\nAnswer: 23648","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) be the first derivative of 3*z**2\/2 - 12*z - 4. Let i be q(6). Find the second derivative of 7*a**4 - 23*a**2 - i*a - 4*a + 23*a**2 wrt a.\nAnswer: 84*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 20377, 21295, 22825, 24967, 27721?\nAnswer: 31087","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 31\/2 of a litre in millilitres?\nAnswer: 15500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 184 and 40.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x - 3*l + 9 = 0, -28*x + 12 = -24*x + 4*l for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 1 + 1)*(-15077*y + 15077*y - 76*y**2) + 2*y**2 - 3*y**2 + 3*y**2 + (2*y + 0*y - 3*y)*(4*y - 2*y - 4*y).\nAnswer: 80*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -5, -0.013, 87.\nAnswer: -5, -3, -0.013, 87","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -3, 6, 0, -10 in descending order.\nAnswer: 6, 0, -2, -3, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 150 + -141. Let f be 4\/(-10) - (-176)\/40. Suppose 0 = f*w + 26 - 182. What is the remainder when w is divided by u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(162) + sqrt(162))*-5 + (sqrt(162)*-2*-6 - sqrt(162)))**2 + (-4*-2*sqrt(98)*-3)**2.\nAnswer: 59040","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -4 + 13 - (10 + -1)\/(-3). Suppose -5*y - 15 = -5*w, -4*w - 3*y - y + v = 0. Solve -2*o = -w*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 5*x - 29. Let z(c) = -17 + 21*c - 25 + 58. Is z(x) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.4 and -22566.\nAnswer: -9026.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 23*l**2 + 5*l + 5. Let h be 6\/(-27) - ((-13059)\/(-54))\/(9\/(-6)). Let m(i) = 736*i**2 + 161*i + 161. Give h*j(d) - 5*m(d).\nAnswer: 23*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 8*x**5 - 9*x**4 - 2*x**3 + 28209*x**2.\nAnswer: 480*x**2 - 216*x - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -1 + 15\/(0 - -3). Let n = u + -4. Solve n = 4*j - 19 - 1 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -2 + 6*w + 0*w - 2. Let r be x(3). Suppose 0 = 4*c - 2*s - r, -3*s = 2*c - 9 - 2. Solve -c*h - v - 9 - 16 = 0, -4*h + 4*v = 0 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5.0065 + -0.9935. Let a = 0.2 - 0.4. Let w = 5.3 + -5. Sort r, a, w in decreasing order.\nAnswer: w, a, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2628 - -2615.79. Let f = 4.09 - z. Let j = f + -8.4. Round j to the nearest integer.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:08 PM and 10:59 PM?\nAnswer: 591","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*(-7)\/(-21)*1.\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = v**2 + v. Let z(u) = -u**3 - u. Let h be z(1). Let d be g(h). Is 2\/(d\/3) + 550 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:19 PM and 10:17 PM?\nAnswer: 418","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*v - 5*m - 25 = 0, -2*v + 7*m - 8*m = -9 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -2*w**2 + 2*w + 4. Suppose 7*x = 45 - 87. Let a(c) = -2*c**2 + 2*c + 3. What is x*a(t) + 5*b(t)?\nAnswer: 2*t**2 - 2*t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.4 in 9.7, 5.8, 0.7?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -346 divided by -3.\nAnswer: 346\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*i**3\/3 + 11512370*i**2\/3 - 16566827120926*i\/3 - 16566838633298\/3.\nAnswer: -2*(i - 2878093)**2*(i + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 = -z + 4*g, 4*z = 3*g - 719019 + 719062 for z.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -98, -117, -142, -173?\nAnswer: -210","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 7366 * 0.3.\nAnswer: 2209.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -953410.57 to the nearest ten thousand.\nAnswer: -950000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (9\/(-6) + 1)*-6. Let c be (j - -3)\/2 - 1. What is the second derivative of -p + 4*p**2 - 2*p**2 + 3*p**4 - c*p**2 wrt p?\nAnswer: 36*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 22 and 2992?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.001290742 rounded to four dps?\nAnswer: -0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -384353\/24 + 16009. Calculate the common denominator of n and 53\/48.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.73 + -0.03. Let g = a - 0.95. Let p = g - 10.85. Round p to the nearest integer.\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 9046\/19 + -476. Let y = 0.3 - 0.2. Let u be 2\/36*2*1. Which is the smallest value? (a) u (b) y (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 2 - 4 = -2*s, 0 = -4*s - n + 8. Let j = -2 - -6. Let r(w) = -w**3 + 2 + 0*w + 3*w**2 + w - j*w. What is r(s)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s - 16 = s + 5*o, 5*s + 3*o + 16 = 0 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - r + 4 = -g, -3*g - 3*r = -12. Suppose g = a + 15 - 23. Is (-14418)\/(-72) - 2\/a a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 6008 - 2108. Calculate the greatest common divisor of 15 and w.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = 1 + 3. Let x(q) = 5*q - k + 2. Let s be x(-2). Round s to the nearest one hundred.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + -8 + (-21 - -25) - (-3 + -7)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - z - 1 = 0, -19 = -5*h - 4*z - 29. Solve -1\/7*w**h + 2\/7 - 1\/7*w = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(66)\/(sqrt(12)\/sqrt(2)) - (sqrt(11)*-1 + 3 - sqrt(11)) - (0 + -3*(sqrt(11) + 1)).\nAnswer: 6*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + -6 + (-6 - -10) + -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2)\/(-8) + 11*4\/(-48). Put -4, b, 0.5, 2\/25 in decreasing order.\nAnswer: 0.5, 2\/25, b, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -533 less than -533?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -114, -217, -386, -627, -946, -1349, -1842, -2431?\nAnswer: -3122","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 71\/9 and -13\/6?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*p**5 - 125*p**4 + 205*p**3 + 2065*p**2 + 3040*p + 1300 = 0. What is p?\nAnswer: -26, -2, -1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 235 minutes before 11:03 PM?\nAnswer: 7:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.44735221 to 1 dp.\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-336)\/(-20) - (-3)\/15. Is m less than or equal to 18?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2 + 16\/10)\/((-5)\/25). Suppose 24 = 4*d + 2*d. Sort n, -3, -17, d in descending order.\nAnswer: d, n, -3, -17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*k - 520 = -13*k. Suppose k = 4*p - 2*p. Calculate the remainder when p is divided by 14.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -668*b**2 + 293 - 254*b + 137*b + 116*b wrt b?\nAnswer: -1336*b - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-608)\/(-5) - -2) + 0. Let q = w - 124. Which is smaller: 2 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2400112 divided by -22.\nAnswer: 109096","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Determine q, given that -93*q**2 + 5541*q - 5448 = 0.\nAnswer: 1, 1816\/31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 103 is divided by 30.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 448, 433, 402, 349, 268, 153, -2?\n\"Answer: -r**3 - 2*r**2 - 2*r + 453","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -38565, -38570, -38579, -38592, -38609, -38630?\n\"Answer: -2*l**2 + l - 38564","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*g**5 - 3*g**5 + 3*g**5 + (2*g**4 - 3*g**4 + 2*g**4)*(-4*g - 3*g + 5*g).\nAnswer: -4*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4908, -20106, -45514, -81132, -126960, -182998, -249246?\nAnswer: -325704","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = 11*q - 6*q - 24, 2*q = 8. Suppose -b + n + 6 = 0, -5*n - 11 - 16 = -4*b. Let c = 2 + -5. Sort 6, w, c, b in decreasing order.\nAnswer: 6, w, b, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:49 AM and 10:41 AM?\nAnswer: 52","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 28479.98 millennia in centuries?\nAnswer: 284799.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -33513\/10 - -3348. Let n = 190 - 1921\/10. What is the common denominator of n and y?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.7 - 0.8. Let q = 0.2 + a. What is the nearest to -1\/5 in -1\/4, 2, q?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-83)\/(-4) - (-2)\/8. Let n be 49\/h + 1\/(-3). Suppose -2 - n = -c. Solve -2*a - 3 = 3*x - 11, c*a = 2*x for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -129 divided by -66.\nAnswer: 43\/22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence anfc when four letters picked without replacement from {d: 1, f: 9, a: 1, c: 1, n: 7, p: 1}.\nAnswer: 7\/12920","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 15 and 3483.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 6254 a multiple of 49?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 268633383?\nAnswer: 3, 31, 2888531","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 2*y - 5. Let b be d(4). Suppose b*p = 5*p + 42. Let r be (7\/p)\/((-4)\/(-9)). Sort r, -0.3, -0.4 in decreasing order.\nAnswer: -0.3, -0.4, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 212787 <= 212739?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 89 divide 2021813?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 2058d (base 14) to base 12\nAnswer: 39129","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -5, -1, 1\/2, 1\/8, -46 in increasing order.\nAnswer: -46, -5, -1, 1\/8, 1\/2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*o**3 - 542*o**2 - 544*o.\nAnswer: 2*o*(o - 272)*(o + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1408 + 2784 + 2800 = 16*x. What is the lowest common multiple of x and 1?\nAnswer: 261","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dd when two letters picked without replacement from {j: 1, n: 1, p: 5, u: 2, d: 3}?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3*i**2*o**2*v + 4582969*i**2*v - 199*o**2 + 2004*o*v wrt o.\nAnswer: -6*i**2*o*v - 398*o + 2004*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -74.47 + -0.53. Let o = z + 76. What is the closest to 2\/7 in o, -0.05, -4\/5?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 249*n**3 + 1 - 549*n**3 + 256*n**3.\nAnswer: -44*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1627*t = -1259*t - 2577*t + 213057 for t.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1790226 is divided by 3423.\nAnswer: 3420","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3308 - 3308 - 19*i**2.\nAnswer: -19*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 0, -5751965 in increasing order.\nAnswer: -5751965, -4, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g when two letters picked without replacement from ghggggggggghgggggg?\nAnswer: 40\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -d**3 + 42*d**2 + 96*d - 72. Determine v(44).\nAnswer: 280","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 19642721 divided by -7.\nAnswer: -2806103","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*z**2 - 2*z**2 + z**2 + (2*z + z - 2*z)*(-2*z + 4*z - z) + 5*z**2 - 4*z**2 - 3*z**2)*(1 + 91 + 10) to i*z**2 + r*z + y and give i.\nAnswer: -408","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 45 + -42. Factor -6*j**b - 5*j**2 - 2*j**4 + 9*j**4 + 6*j + 2*j**2 - 4*j**4.\nAnswer: 3*j*(j - 2)*(j - 1)*(j + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*o = 31*o - 3675. Find the common denominator of -8\/9 and (-3 + o\/(-9))\/(8\/2).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1 by 5972.\nAnswer: 1\/5972","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) be the second derivative of r**5\/20 + r**4\/3 - 7*r**3\/6 - r**2\/2 + r. Let t be (-1)\/1 - (-9 + 6). Suppose 7 = -l + t. What is q(l)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -61566 = -63*p + 394*p. What is the second biggest value in 0.06, p, 10?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 1, r: 3, p: 3}. Give prob of sequence tp.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) be the second derivative of 5\/6*l**3 - 3*l + 0 + 0*l**2. Let o(c) = -2*c**2. Give j(o(u)).\nAnswer: -10*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-22)\/j)**(-1\/47) assuming j is positive.\nAnswer: j**(23\/47)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3 + 7. Suppose 2*r - 72 = -0*u + 2*u, r - i*u = 30. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -25 - -31. Solve 1 - z = -u for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 1 p when two letters picked without replacement from {p: 11, r: 1, m: 2}.\nAnswer: 11\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) be the second derivative of q**6\/10 + q**5\/4 - q**4\/4 - q**3\/6 + 46*q. Find the third derivative of n(j) wrt j.\nAnswer: 72*j + 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 3 (b) 3\/283 (c) -0.06\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0 + 8. Let h be -2 - -1 - u\/(-24). Sort 2\/9, h, 1\/6 in descending order.\nAnswer: 2\/9, 1\/6, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 4\/7, 0.244, 3, 2, -124 in decreasing order.\nAnswer: 3, 2, 4\/7, 0.244, -3, -124","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -97.8 - -98. Let i be 3\/(-6)*8\/22. Which is the biggest value? (a) k (b) i (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4.7 + -1.5. Let u = l - -1.2. Which is the biggest value? (a) -0.3 (b) u (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-44)\/(-48)*-2)\/((-2)\/12).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -31136.3 rounded to the nearest 1000?\nAnswer: -31000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 + 2 + 0)*(3 - 2*v - 3 + (-5*v + 6*v + 0*v)*(0 - 4 + 6) - 9*v + 6*v - 2*v) to the form j*v + b and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -1756.826 rounded to the nearest integer?\nAnswer: -1757","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/(2\/1))\/1*8352\/42912*149.\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 86*d**2*z**4 - 93*d**2*z**2 + 816*d**2*z + d*z**3 - 75*z**4 wrt z?\nAnswer: 2064*d**2*z + 6*d - 1800*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 3*o + 14. Let s(a) = a + 5. Let b(h) = 2*f(h) - 7*s(h). What is b(-8)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -162*c + 187*c - 200284 - 65016. What is the ten thousands digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zm when two letters picked without replacement from mmmmmjmjmz.\nAnswer: 7\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*b + 22495 = 18*b. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -4747 = -21\/2470?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (72\/(-28))\/(9\/42). Calculate the common denominator of 18\/o*1\/9 and 4\/(-16) + 70\/32.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 188 + 95 + 3*g**3 - 283 - 250*g**2 + 250*g**2.\nAnswer: 3*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -279*v. Let q(k) = k. Calculate m(q(t)).\nAnswer: -279*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3706318?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert e549 (base 15) to base 13.\nAnswer: 19086","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) be the first derivative of -t**5\/25 + t**4\/10 - t**3\/15 - 9. Solve k(q) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -5931 + 5928.0924. Let i = -2.9 - c. Round i to 3 dps.\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8928 = -4*n - 14*n. Let k = -30 + n. What are the prime factors of k?\nAnswer: 2, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q**(2\/91))\/q*q**(-1\/4)\/q*q**33\/q**(-6\/11) assuming q is positive.\nAnswer: q**(129399\/4004)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-21)\/(3 + -24))\/((-2)\/(-4836)) a multiple of 62?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 1 + 2 - 4 - 5 - 12*f. Let b = -4 + 3. Let k(a) = -a - 1. Give b*q(s) + 6*k(s).\nAnswer: 6*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 44655242 and 2076988?\nAnswer: 89310484","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.035*5307.\nAnswer: -185.745","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -5*p - 1. Let g(x) = -x**2 + x - 1. Let r be g(3). Is v(r) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - 1\/2)\/(30*1\/780).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -d**3 - 38*d**2 - 18*d + 923. Calculate the smallest common multiple of o(-37) and 88.\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) be the second derivative of -x**5\/20 + 3*x**4\/4 - 9*x. What is the third derivative of d(n) wrt n?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (2\/(-6)*5943\/(-1981))\/(1\/60)\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -2\/3, 0.06, -0.11, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = u**2 + 8*u + 4. Let d be c(-8). Suppose r + r = -d. Let h be ((-3)\/(-9))\/(r\/(-4)). Which is smaller: h or 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s when two letters picked without replacement from uuccxsicwss.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = n**3 - 2*n**2 - 3*n - 3. Let g be b(3). Calculate the smallest common multiple of 4\/(-10)*20*-1 and -1 + (-6 + 28 - g).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 635583 to the power of 1\/3, to the nearest integer?\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = o**3 + 19*o**2 - 46*o - 44. What is the least common multiple of 8 and h(-21)?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + 76 = 4*i - s, 5*i - 88 = 2*s. Calculate the smallest common multiple of 130 and i.\nAnswer: 1040","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -c**2. Let d(i) be the third derivative of -i**5\/60 - 5*i**3\/3 - 2*i**2. Let p(q) be the first derivative of d(q). Calculate p(h(k)).\nAnswer: 2*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 8270, 32249, 71952, 127385, 198554, 285465?\n\"Answer: b**3 + 7856*b**2 + 404*b + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 16 + (-27 - -8) - (-5 - 0)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2333 - -2254) + 28 + 1.\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12707 is divided by 1701?\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p**(-1\/3)*p)**(-22)\/(p\/p**9*p\/p**(1\/8)) assuming p is positive.\nAnswer: p**(-709\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 63275 to the power of 1\/2, to the nearest integer?\nAnswer: 252","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 141 - 137. Solve -4*c + 5 = 5*g, -2*g + 5*g - a*c = 35 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16 is divided by 11?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -m**3\/7 - 10917779*m**2\/7 - 43671104*m\/7 - 43671100\/7.\nAnswer: -(m + 2)**2*(m + 10917775)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 0*h - 4*t = -12, 0 = 5*h - 2*t - 2. What is the lowest common multiple of h and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -273707.1 to the nearest 10000.\nAnswer: -270000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k = -2 - 10. Suppose k*v = -v + 430. Suppose -83 = -4*z - t, -3*z + 7*t = 3*t - v. What is the tens digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 83 (base 11) in base 15?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -39, -62, -85, -108, -131?\nAnswer: -154","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 336*o - 551 + 2693 + 210 for o.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -77 (b) -1 (c) 0.1 (d) 0.8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1\/2 or -53\/4?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 794\/21915 + 4\/487. Let n(i) be the second derivative of 1\/63*i**7 + 1\/30*i**5 + m*i**6 + 0 + 0*i**2 - i + 0*i**4 + 0*i**3. What is j in n(j) = 0?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -44 (base 7) to base 10\nAnswer: -32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 357 divided by 10?\nAnswer: 357\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert e40cd (base 15) to base 2.\nAnswer: 10110000011000001011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1107782 a multiple of 311?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r**(-1\/2))**30\/(r**(-1)\/r*r)**35*r**(-1\/2)*r*r**(-2\/11)\/r*r**(-6)*r*r**0 assuming r is positive.\nAnswer: r**(975\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 3*n + 11. Let y(a) = -a - 4. Let g(x) = 2*i(x) + 7*y(x). Let z(o) = 2*o + 11. Let f(q) = 10*g(q) + 6*z(q). Calculate f(-4).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = b**3 + b**2. Let y be j(-1). Suppose 5*x - 25 = -y*x. What is the second derivative of -4*w - 4*w**5 + 3*w**x - 2*w**5 wrt w?\nAnswer: -60*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find q, given that 4*q**2\/5 - 560*q + 98000 = 0.\nAnswer: 350","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 16c + 1ab0?\nAnswer: 1c3c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 16.9999848 + -17. Round n to six decimal places.\nAnswer: -0.000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5849, 11736, 17623, 23510, 29397, 35284?\nAnswer: 41171","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -569558176*j - 569558178*j - 569558181*j + 1708674537*j.\nAnswer: 2*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 1438 divide 1661326?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + sqrt(275) + (0 + sqrt(275) - sqrt(275))**2.\nAnswer: 1 + 5*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w = 20, -w - 21 = 2*m + 22. Let b be m\/(-3) - 6\/18. Calculate the common denominator of 101\/14 and 53\/10*b\/42.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1302 is divided by 643?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*6*sqrt(21)\/(-3*sqrt(7)))**2.\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*f**2 + 3*f**2 + 4*f**2.\nAnswer: -4*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2011*c**2 + 52*c - 52*c.\nAnswer: -2011*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 less than -16\/9577?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 69 - 66. Suppose g*c - 2475 = 4*x, 2*c + 5*x - 1200 - 450 = 0. Suppose 4*n - c = -285. List the prime factors of n.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 102*h - 20. Let k be z(1). What is the remainder when 55 is divided by ((-205)\/k)\/((-1)\/10*1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 + 2*s)*(0 + 1 - 3)*(-2*s - 10*s + s).\nAnswer: 44*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 347864778 to the power of 1\/2, to the nearest integer?\nAnswer: 18651","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 10455 and 4740297.\nAnswer: 2091","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10409500 is divided by 845?\nAnswer: 790","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by 3438.\nAnswer: -1\/1146","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:49 AM and 8:22 AM?\nAnswer: 453","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + 5*d = -179, 11*m + 161 = 9*m + d. Is (123\/m)\/(-1 - (-7977)\/7978) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 5517 and 108.\nAnswer: 66204","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 466614?\nAnswer: 2, 3, 8641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 911641 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = q**3 + 9*q**2 - 10*q - 3. Suppose 0 = 129*i - 126*i + 6*m + 12, 0 = 5*i - 2*m + 56. Give o(i).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 71659?\nAnswer: 7, 29, 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 246 > 11501\/47?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 3*s**2 - 2 - 4*s + 5 + s**3 + 2*s. Let u = 2 - 6. Determine v(u).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 130360, 130665, 130972, 131281, 131592, 131905?\n\"Answer: f**2 + 302*f + 130057","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 99828, 99811, 99796, 99783, 99772, 99763, 99756?\n\"Answer: m**2 - 20*m + 99847","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2, -7, -2\/7, -0.4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -4*t - 37. Let k be w(-11). What is the lowest common multiple of 21 and (-44)\/8*(1 - k)?\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9 + 44 + 29)*(0 - 5 + 3)*(-5 + 2 + 1)*(5 + 2 + 1)*(3 - 1 - 2*b + 0*b).\nAnswer: -5248*b + 5248","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1\/8*h**4 - 3\/8*h**3 + 9\/8*h**2 + 3\/2 + 23\/8*h.\nAnswer: -(h - 3)*(h + 1)**2*(h + 4)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1449252 and 16581348?\nAnswer: 6804","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -60*s = -2*o - 55*s - 17, 3*o = s - 6 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 153793 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*z + 567 = 24*z. List the prime factors of z.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 723209 to the nearest integer?\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -5a1025 (base 12) to base 7\nAnswer: -15231650","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*b - 12, 2*y - 292 = 2*b - 38. Let l = 233 - y. What is the first derivative of 10 + 70*t - 151*t + l*t wrt t?\nAnswer: 29","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(sqrt(156)\/sqrt(3))**2 - -1*sqrt(468).\nAnswer: 6*sqrt(13) + 312","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -34 + 247215?\nAnswer: 247171","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -33218014*u**2*x**3 - 33*u**2*x**2 + 29513*u*x**2 wrt x?\nAnswer: -199308084*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 9 - 6. Suppose 3*y + 45 = 2*t, 0 = -p*t - 2*t + 3*y + 90. Suppose 4*u + 2*w - 91 = -t, 0 = -5*u + 2*w + 77. List the prime factors of u.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 81.19 - 0.19. Let a = -80.99939 + y. What is a rounded to 4 dps?\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 0 - -122aca?\nAnswer: 122aca","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.13927 minus 0.5?\nAnswer: -0.63927","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 8, 0.4, 173?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 379 + -267. What is the tens digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 = -4*q + 2*b, 6*b + 4 = 36*q - 41*q for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 - 1 = -5*s. Let y be 1 - (s - 7*13). Let r be (6\/(-4))\/((-1)\/24). Calculate the highest common divisor of r and y.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - q = 10, 7 = -2*q - 3. Suppose -3*x + 0*b - 19 = 2*b, -x - 3 = -b. Put 1, x, v in descending order.\nAnswer: v, 1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 2410230 + 1?\nAnswer: 2410231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 748 is divided by 137.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -719, -1046, -1161, -962, -347, 786, 2539, 5014?\nAnswer: 8313","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 70931 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) be the third derivative of -q**6\/120 - q**5\/60 - 13*q**3\/3 - 5*q**2. List the prime factors of b(-5).\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -1, -1\/6, 2903\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -r**3 - 4*r**2 + 3*r - 7. Let z be v(-5). Suppose z*u + 0 - 12 = 0. Solve -u + 7 = -h for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 715?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1)\/(-21)*6*(7 + 0). Suppose -6*z + 39 = t - 4*z, -2*z - l = 0. Calculate the remainder when 244 is divided by t.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2852694*c**3*r**3 - 29443*c*r**3 + 12*r**3 wrt c?\nAnswer: -17116164*c*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g = 1860*u - 1855*u + 21, 1 = -u + 2*g for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 5\/4*(18 - 2). Let n be a*(0 + 2\/8). Suppose -n*m + 8 = -3*x, -4*m - x + 13 = -7. Solve 7 = 5*b - 2*q - 6, -8 = m*b + 3*q for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 10 - 38 = 0. Does 6 divide z\/(-14) - (-19)\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 times -1175?\nAnswer: -235","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 35 + -30. Suppose 5*p - 2*d - 115 = 0, 6*p + g*d - 92 = 2*p. Let y = 68 - p. Is 9 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q and 1 o when three letters picked without replacement from {q: 2, e: 1, x: 1, k: 2, o: 1}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 99166.41 years in millennia?\nAnswer: 99.16641","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2140967 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*j - 15 = -c + 10, -4*j + 5*c - 9 = 0 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -4 (b) 2 (c) -504 (d) -1\/32 (e) 2\/29\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -2 + (0 - (-45)\/(-6)) and -47\/12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -290, -644, -1220, -2012, -3014, -4220?\n\"Answer: r**3 - 117*r**2 - 10*r - 164","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -97312 (base 10) in base 9?\nAnswer: -157434","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*k + 3*h + 3, -5*k + 3*h = -k + 24. Let g(i) = -5*i. Let a be g(k). Let b be -3 + a\/81*15. Which is smaller: b or 1\/4?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Expand (d + 0*d - 2*d + 10*d**3)*(3*d - 3*d + 4*d).\nAnswer: 40*d**4 - 4*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 1, w: 4, u: 2, r: 1}. Give prob of sequence rou.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 25656525 and 19190.\nAnswer: 505","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = d + 2. Suppose -4*w + 34 = 2*x + w, d*x = 5*w + 34. Let n = 32 - x. Is n a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3454 + 6361. List the prime factors of y.\nAnswer: 3, 17, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 875\/(-525)*(-654)\/5*12\/24?\nAnswer: 109","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4592.745 days to nanoseconds.\nAnswer: 396813168000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 2, q: 2}. Give prob of sequence mqq.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 31323 - -7?\nAnswer: 31330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 45\/(-10) + (-2)\/(-4). Let z be (-2)\/(-18)*(-3 - s). Let n = 62 + -312\/5. Which is the third biggest value? (a) -1 (b) z (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ii when two letters picked without replacement from kvvuukiuviuu.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence clw when three letters picked without replacement from lcpwy.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 12116 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -10100 (base 2) in base 16?\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = m**3 + 7*m**2 - 7*m - 1. Let h be c(-8). Let g be h\/4*8\/12. Are -3 and g non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) be the first derivative of -u**4\/4 + 5*u**3\/3 + u**2 - 221. Determine h(5).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -m. Let n(z) be the second derivative of z**3\/3 + 5*z. Give n(a(g)).\nAnswer: -2*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6931 (base 12) to base 7.\nAnswer: 46054","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 155959499 to the nearest integer?\nAnswer: 12488","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 6 - -14?\nAnswer: 1a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-9)\/(-21) - ((-2)\/(-14) + 3162\/6510). Which is bigger: q or -3858?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p**(-2\/5)*p)\/p*p)**(-1\/6)*(p\/p**2)**5)**(-2\/89) assuming p is positive.\nAnswer: p**(51\/445)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*l - 26*l = -4*q - 49, l = -q + 14. Solve 16*y = 19*y - l for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -3833 = -2098?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4? (a) 68 (b) 2\/25 (c) 5 (d) -1.1 (e) 4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -938469 divided by -312823.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p = w + 2*w + 12, -4*p - 3*w + 12 = 0. Let d be (6\/9)\/(1\/p). Suppose 2*y - 35 + 3 = 0. Calculate the highest common factor of d and y.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = k**3 - 18*k**2 - 46*k - 26. What is b(20)?\nAnswer: -146","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 37 - 792.\nAnswer: -755","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*a - 16 = -10 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: ((-666)\/5994)\/((-1)\/3)\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 1, i: 1, y: 3}. Give prob of picking 2 l.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/623, -1\/7, 11 in decreasing order.\nAnswer: 11, -1\/623, -1\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a kilometer in centimeters?\nAnswer: 10000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor u**5\/2 + u**4\/2 - 11*u**3\/2 - 29*u**2\/2 - 13*u - 4.\nAnswer: (u - 4)*(u + 1)**3*(u + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -l - 7. Let o(w) be the first derivative of w**2\/2 - 7124. Calculate i(o(y)).\nAnswer: -y - 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -78873a (base 12) in base 14?\nAnswer: -38091c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 96 and 144?\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = z + 20. Suppose -2*t - 2*t = 4*g + 120, -5*t = 0. Let r = 20 + g. Let a be w(r). Solve 0 = -d + 6*d - a for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3182 - 3163. Which is smaller: 79\/4 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-92)\/23 - (-9)\/1. Suppose y*u = -139 + 464. List the prime factors of u.\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 3*y - 12. Let z be a(6). Let w(h) = -2*h + 6. Let s(f) = -6*f + 17. Calculate z*s(n) - 17*w(n).\nAnswer: -2*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*p**4 - 87*p**3 - 1638*p**2.\nAnswer: 3*p**2*(p - 42)*(p + 13)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1145471 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 414 minutes after 9:19 PM?\nAnswer: 4:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 172832 divided by -15712.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 45*o + 58*o**3 + 17*o**3 - 45*o + 62*o**3.\nAnswer: 137*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 563689 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-74)\/(-30) - 3)*(-6)\/(-4).\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 132524?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7281.\nAnswer: 3, 809","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -79*m - 56 = -80*m. Solve -22*b + 8*b + m = 0 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(-2\/7))**(4\/23))**(1\/9) assuming s is positive.\nAnswer: s**(-8\/1449)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (14\/145*(-2660)\/(-931))\/(-1*2).\nAnswer: -4\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*i + 5*i - 27*i - 4*i - 3*i - 2*i + 8*i.\nAnswer: -14*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(2\/7))**(-6\/13)\/(a**(-2)\/a**(2\/15)) assuming a is positive.\nAnswer: a**(2732\/1365)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -3 - 12\/(2 - -1). Let b = 15 + c. What is the units digit of b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gpo when three letters picked without replacement from oogp?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 2 + 3)*(-429*t**4 - 825 + 825) in the form m*t**4 + z*t + w*t**3 + d + c*t**2 and give m.\nAnswer: -858","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 3.5274 and 4154.\nAnswer: 14652.8196","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -y. Let l(m) = 5*m + 3. Let p(z) = -4*f(z) - l(z). Calculate p(4).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1 - -2) + 8431871\/(-464142). Let a = l + -1\/11051. Calculate the common denominator of 19\/10 and a.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 1 = 14. Let w(m) = -m - 2. Let v be w(-2). Suppose -o*a = -v*a - 12. What is the units digit of a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a = -3*a + 174. Let r = a - 25. What is the nearest to 1 in r, -0.1, -0.3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -7.1 - -7. Let c = 25.19 + -25.2. What is the second biggest value in c, -0.2, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -824648 by 6.\nAnswer: -412324\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -2 * 865.113\nAnswer: -1730.226","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 411 - 29. Suppose -3*h + 17 = -v. Is h 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 kkkkkkkkkk. What is prob of sequence kkk?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 103358*u**3 + 22*u**2 + 53963551*u wrt u?\nAnswer: 620148*u + 44","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-105*n**3 - 80 + 80 + 4*n**3 - n**3 - 2*n**3 + (0*n**2 + n**2 - 2*n**2)*(-n + 0*n + 2*n) - 2*n**3 - 4 + 4)*(-n + 3*n**2 + 4*n**2 - 2*n**2).\nAnswer: -535*n**5 + 107*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 6, 436, 1588, 3822, 7498, 12976?\n\"Answer: 60*b**3 + b**2 + 7*b - 62","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*2*sqrt(273))\/(2*sqrt(63)))\/((sqrt(15) - sqrt(90)\/(sqrt(6) - sqrt(6)*-2))\/(sqrt(5) - (sqrt(1125)\/sqrt(9) - sqrt(5)))).\nAnswer: 3*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/19? (a) 2\/21 (b) -8\/37 (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -69 - -45. Let v = o + 20. What is the nearest to 2 in 3, v, 0.1?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 93, 79, 47, -9, -95, -217, -381?\n\"Answer: -p**3 - 3*p**2 + 2*p + 95","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -71*w - 31 = -67*w - 5*t, 0 = -5*w - 5*t - 7*t + 16 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.11640819 rounded to four decimal places?\nAnswer: 0.1164","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -19 - -13. Let z be (0 + 0)*(o - -7). Suppose 4*t = -z*t + 144. What is the units digit of t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:57 AM and 3:14 AM?\nAnswer: 77","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-8*l - 3*l - 4*l)*(-1 + 0 + 3)*((1 + 1 - 1)*(-3 + 2 + 3) - 3 - 2 + 1) to the form y*l + b and give y.\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 44*a**2 - 28*a + 169. Is s(7) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -7*y**4 - 2621*y**3 - 86832*y**2 + y - 1.\nAnswer: -168*y - 15726","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -i*m**2 - 49855*i*m + 7*i + 2*m**2 + 8*m - 471 wrt i?\nAnswer: -m**2 - 49855*m + 7","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 23\/95 and 29\/9?\nAnswer: 855","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 45.69 minus 443603166?\nAnswer: -443603120.31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eci when three letters picked without replacement from eicwt?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3.154 + -681.354. Let y = t + 187. What is y rounded to the nearest ten?\nAnswer: -490","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*s + 62 = 3167. Is 23 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 49721123 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -9190, -9188, -9186, -9184, -9182?\nAnswer: -9180","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find i such that -5*i**3 - 5065*i**2 + 10150*i = 0.\nAnswer: -1015, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10 + 22 + t + 10*t - 4*t.\nAnswer: 7*t + 32","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 152277 + -0.1?\nAnswer: 152276.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 12104611 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 172?\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 4*z**2 + 88*z + 81. Let p be w(-21). What is the nearest to 0.1 in p, 262, 0, 0.4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4886 + 5967. Which is smaller: o or 1080?\nAnswer: 1080","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 98 divide -7 - (-62160)\/98 - (-2)\/(-7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 6 (b) -0.1 (c) -2 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (40\/30*(-2)\/(-44))\/((-5004)\/(-3753)).\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -93486 from 5830726.\nAnswer: 5924212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 3\/10 of a meter?\nAnswer: 30","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-5)\/((-30)\/4))\/(2\/12).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 202*p**4 + 230 wrt p?\nAnswer: 808*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 23 + -21. Let k be ((-3)\/27)\/((-1)\/6). Factor 2\/3 + 0*b + 0*b**3 - 4\/3*b**m + k*b**4.\nAnswer: 2*(b - 1)**2*(b + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-378)\/(-84)*12\/(-9). Which is the smallest value? (a) -5 (b) 2\/9 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -11587, -46400, -104423, -185656?\n\"Answer: -11605*v**2 + 2*v + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ptbpptbbp. Give prob of sequence tpb.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 57112, 57156, 57224, 57316, 57432, 57572?\nAnswer: 57736","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 30363277457 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*n + 26*n - 5*n.\nAnswer: 15*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -489948, -489942, -489936, -489930, -489924, -489918?\nAnswer: -489912","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 52766.9 millimeters to micrometers.\nAnswer: 52766900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2084 - 2081. Let n be (-1 + 0)\/(12\/8). Sort -4, a, -0.6, n in increasing order.\nAnswer: -4, n, -0.6, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6505 to the power of 1\/6, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -1271 != -3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7401.262 days to milliseconds.\nAnswer: 639469036800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0106573091 to 5 dps.\nAnswer: -0.01066","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**(4\/25)*t*t**(1\/17) assuming t is positive.\nAnswer: t**(518\/425)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*b - 839 - 316. Let m(q) = -2*q + 172*q**3 + q - q**2 - b*q**3. Let w = 2 + -3. Give m(w).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2188 - 0.088.\nAnswer: -2188.088","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(11)*-2*-1 - -1*(1 + sqrt(11)).\nAnswer: 1 + 3*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/11? (a) 2 (b) 0.5 (c) 6 (d) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 139 minutes before 10:16 AM?\nAnswer: 7:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -5027*t + 5027*t - 152*t**4 + t**2 - t**2 + (-2*t + 2*t + t**3)*(0*t - t - 2*t) as p*t + k*t**3 + v*t**4 + g*t**2 + m and give v.\nAnswer: -155","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 89058.63 days in minutes?\nAnswer: 128244427.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 263 - 2151\/8. Find the common denominator of p and 67\/2404.\nAnswer: 4808","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/((((-342)\/19)\/(-216))\/1)?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6\/5, 2\/5, 0.13.\nAnswer: -6\/5, 0.13, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -f**3 + 12*f**2 - 9*f + 7. Let w be u(10). Suppose 2*d - 123 = w. Suppose -5*r = -15, 5*k + 3*r = d + 59. What is the tens digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 436 divide 1372393628?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.4, 4, -6.47?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -66, 11.387, 0.06, 3\/5, 2?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*u = 4*t - 51, 3*t + 3*u = 3924 - 3906 for t.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*k + 3*k - 3*o + 13, 2*o = 6. Let a(s) = 18 + 13*s**2 - s**3 - 10 - 27*s - 2*s**2. Let v be a(7). Solve -k*f + v = 3*f for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 302 to the power of 1\/7, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1631 + 1635. What is the remainder when 60 is divided by o?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:17 AM and 3:47 PM?\nAnswer: 690","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 13327*s**2 + 2208*s - 26685*s**2 + 13303*s**2 wrt s?\nAnswer: -110","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine m, given that -3*m**3 + 11727*m**2 - 11887317*m + 826850025 = 0.\nAnswer: 75, 1917","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = k. Let v(t) = 7*t + 2. Let i(q) = -890*q - 890. Let w(b) = i(b) + 445*v(b). Give w(u(m)).\nAnswer: 2225*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -13 + 21. What is the units digit of o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -12 + 28. Is q a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*x**2 + 3788*x + 3784.\nAnswer: 4*(x + 1)*(x + 946)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = m**3 - 27*m**2 - 32395*m + 506. Calculate u(-167).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:19 PM and 8:37 AM?\nAnswer: 678","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 12 = -4*z, 2*t - 4*z = 7*t - 33. Suppose -t*q = q - 48. Suppose -4*x = q*x - 1608. What are the prime factors of x?\nAnswer: 2, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5 - 8) + 0 + -10.\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -172 and 2.\nAnswer: -344","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 35 + -38 + -3 + 16.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 9, a: 2}. Give prob of picking 2 v and 2 a.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 209 is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (5 - 9 - -6) + -6\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -105.9 - -112. Let h = 1.8 - a. Let y = h + 4.300042. Round y to five dps.\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 6\/(-9) + 0\/(-2). Let w be 57\/(-105) - 8\/(-20). Suppose 4*h + 0*s + 5*s = -20, -3*h + 5*s = -20. What is the third biggest value in h, 5, a, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n + 1490 = 4458. Suppose 20 = 6*h - n. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -18\/439, -0.1, -2?\nAnswer: -18\/439","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 12971373 to the power of 1\/7, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.003074 minus 0.3370556839?\nAnswer: -0.3339816839","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t**(-2\/11)\/(t\/(t\/(t\/t**(7\/4)))*t))\/(t*t\/t**(-6)*(t*t*t**(2\/13)*t)\/t))**(-2\/23))**(1\/32) assuming t is positive.\nAnswer: t**(6055\/210496)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(sqrt(108) - sqrt(108)*-1*5)\/(sqrt(576)*2 + sqrt(576) + sqrt(9) - sqrt(9)).\nAnswer: -5*sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z = 0, 10 = 2*b - 0*b - 5*z for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -1. Let n be (-2)\/14*-2*(-119)\/(-17). Suppose n*s + 0 = -2. Let u(h) = -2*h - 4. Let b = 0 + 2. What is b*g(j) + s*u(j)?\nAnswer: 2*j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/(-4) - 1)*12\/(-10).\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 10509 and 246264?\nAnswer: 27827832","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 524?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*j**2\/9 + 1598*j = 0. Calculate j.\nAnswer: -7191, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -d**2\/2 - 108301*d\/2 - 10648244.\nAnswer: -(d + 197)*(d + 108104)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2 + 2 + sqrt(2299)*1 + -2*(sqrt(2299) + -2))*2)**2.\nAnswer: -352*sqrt(19) + 9260","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/20 less than or equal to -2\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:50 PM and 1:01 AM?\nAnswer: 611","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1445 + 44*y - 1445)*(-2*y + 4*y + 0*y) to h*y + t + c*y**2 and give c.\nAnswer: 88","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2037 = -341*s + 984 + 48 for s.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -4\/7, -4\/3, -0.05, 2\/7?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 874788?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) be the second derivative of 5\/6*a**3 + 4*a + 3\/2*a**2 - 1\/24*a**4 + 0. Let y(d) be the first derivative of k(d). Calculate y(6).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1\/(440\/154 + -3). Which is smaller: 797 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4984 + -69829\/14. Let p = 1413 + -33943\/24. What is the common denominator of p and b?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 1 f when two letters picked without replacement from {f: 7, w: 6}.\nAnswer: 7\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22*t**2 + 469811*t - 939587*t + 469776*t.\nAnswer: 22*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 20.9336 meters?\nAnswer: 0.0209336","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 3d - 1176?\nAnswer: -1139","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1036886158 to the power of 1\/7, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.3 + -1.3. Let i = -11891\/44856 - -3\/2492. Let t = i - -3\/8. What is the third smallest value in t, -0.4, b?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -517, -476, -391, -250, -41, 248?\nAnswer: 629","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (9*t - 18 + 18)*(-5*t**2 - t**2 + t**2) as v*t + d*t**2 + w*t**3 + n and give w.\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -15 less than 680.01258926?\nAnswer: 695.01258926","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -31, -18, -1, -2, 4 in increasing order.\nAnswer: -31, -18, -2, -1, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 573 divided by -1.\nAnswer: -573","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 113\/102 + -16\/17. Let a(f) be the second derivative of -4*f + 0 + 0*f**3 - 1\/5*f**5 - t*f**4 + 0*f**2. Let a(x) = 0. What is x?\nAnswer: -1\/2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-10)\/6)\/((-5)\/15)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -51, -1, 2, 147, -2 in decreasing order.\nAnswer: 147, 2, -1, -2, -51","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -1 + 4*v**2 - 83*v - 87*v + 169*v + v**3. Let y be k(-4). Solve 0 = 5*s + 4*q - 13 - 10, -2*s = y*q - 12 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine u so that 4*u**5\/3 - 112*u**4\/3 + 156*u**3 - 152*u**2\/3 - 736*u\/3 = 0.\nAnswer: -1, 0, 2, 4, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -24285, 222.\nAnswer: -24285, 5, 222","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 0 - 6)*(-r + 5*r - 2*r)*(-r + 4*r - 5*r).\nAnswer: 12*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, -3, 0.07, -5\/3 in decreasing order.\nAnswer: 0.4, 0.07, -5\/3, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Are 172139 and 172041 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*i - 78 = -16 + 2. Solve -i*d - 16*d + 40 = 0 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 3\/(-6) - 2\/(-4). Factor s - 2\/3*a**2 + 0*a.\nAnswer: -2*a**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -p**2. Suppose -3*y + 3*m + 30 = 0, y - 7*m = -4*m + 6. Let w be 125\/20 - (-9)\/y. Let l(a) = -111 + 111 + w*a**2. Give v(l(q)).\nAnswer: -49*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 878 a factor of 164286655?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -6*l - 7. Let f be u(-1). Do -1\/389 and f have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 26*c**5 - 33*c - 97*c - 102*c - 330*c**6 - 26*c**5 + c**2 wrt c.\nAnswer: -39600*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -420306, -420294, -420284, -420276, -420270?\nAnswer: -420266","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) be the second derivative of 0 - 6*l - 1\/12*l**4 - 1\/6*l**3 + 0*l**2. Let h(o) = -5*o**2 - 7*o. Determine 6*h(r) - 42*n(r).\nAnswer: 12*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -149\/46568040 and -91\/100.\nAnswer: 232840200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 6 - 3. Let d = 3.086 + -0.086. Let z = 156 - 160. Which is the nearest to d? (a) z (b) -3\/4 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -550*k + 5904. What is s(13)?\nAnswer: -1246","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 9*g**2\/4 - 169*g\/4 - 19\/2.\nAnswer: (g - 19)*(9*g + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -2*p**2 + 2*p - 1. Let t(v) = 9*v**2 - 6*v + 83. Determine -3*d(f) - t(f).\nAnswer: -3*f**2 - 80","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 2395 to the power of 1\/3, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n + 205 - 217 = 0. Find the second derivative of -18*y + 1 + 5*y**5 + 5*y - 14*y**3 + 11*y - n*y**5 wrt y.\nAnswer: 40*y**3 - 84*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve f = 82*n - 78*n - 23, 4*n = 16 for f.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1621267 is divided by 279?\nAnswer: 277","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) be the first derivative of 3*r**5\/5 - 3*r**4 + 4*r**3 - 181. Factor i(v).\nAnswer: 3*v**2*(v - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 30\/(-5700)*-38*33\/(-429)\nAnswer: -1\/65","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1824 and 117192?\nAnswer: 456","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = t**3 - 2*t**2 - 2*t + 2. Suppose -x + 4*i = -23, 5*x + 1 = 2*x - 2*i. Let l be h(x). Let q(g) = 26*g - 7. Is q(l) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2829?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -f + 10. Let p = -14 - -14. Put f, p, -5 in increasing order.\nAnswer: -5, p, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 50600424 and 17410.\nAnswer: 3482","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nnnnjnvnnlvln. Give prob of sequence lj.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Determine g, given that g**2\/2 - 112*g + 1070 = 0.\nAnswer: 10, 214","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 60450174?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10 - 10 - 2*b)*(-b + 3*b - b) + 3*b**2 - b**2 + 2*b**2 + (-3*b - 1 + 1)*(0*b - 2*b + 4*b) - 3*b**2 + 5*b**2 - 5*b**2 + 6*b**2 - 4*b + 4*b.\nAnswer: -b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 24906.\nAnswer: 2, 3, 7, 593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9 + (2 - 8) + (-25 - (7 + -35)).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -27*k**2 + 136*k + 12. Determine a(6).\nAnswer: -144","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -24.9 - -23.9. Which is the second smallest value? (a) -0.4 (b) 0 (c) f (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -x**3 - 4*x**2 + 12*x + 13. Calculate k(-6).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -2675 divided by -535\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -77*y**2 + 38*y**2 + y**3 + 39*y**2.\nAnswer: y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8560*j + 8249*j = -4660 - 568 - 2547 for j.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -v**2 - 318*v - 25138. Determine f(-171).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 2 - 9*p - 2.\nAnswer: -9*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/2 of a decade in months?\nAnswer: 660","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) be the first derivative of -1 - 1\/3*u**3 - 5*u + 9\/2*u**2. List the prime factors of r(7).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -375 + 376. Let p(a) = 2*a**2 - 2*a + 2. Let q be p(r). Solve q*g + 6 = -2*s, -4*g = g + 3*s + 5 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d = 134 - 130 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -727 + 730. What is the smallest common multiple of 456 and g?\nAnswer: 456","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = d**3 + 16*d**2 - 2*d - 10. What is the least common multiple of 10 and a(-16)?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/(2*(-3)\/(-36)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 2*i + 2. Let g be -2*1 - (-3 + 1). Suppose -6*m + 2*m = g. Suppose 2*r = -2*q - 16, m = -4*r - 3*q - 17 - 11. Calculate u(r).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2587?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 27 = w, 5*r - 8*w = -3*w + 45. Which is the closest to r? (a) -0.5 (b) 3\/2 (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from umzbzcy. What is prob of picking 1 z, 1 u, and 1 c?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-4)\/6)\/((-3)\/(-45)). Let y be 2\/(-20)*m\/(-4). What is the third smallest value in y, -3, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(((-5)\/(-15) + -1)*9\/21)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 28666 to the nearest integer?\nAnswer: 169","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 1 w when two letters picked without replacement from {h: 3, z: 5, n: 2, w: 3, k: 2}.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 3858480 divided by -414\nAnswer: -9320","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 110*a**2 + 558*a - 26. Determine h(-5).\nAnswer: -66","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 586*s - 586*s + 2*s**2. Let l(f) = -68*f**2. Give l(d(c)).\nAnswer: -272*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3872, 7784, 11696?\nAnswer: 15608","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 306.5207ml?\nAnswer: 0.3065207","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (8\/(-34))\/(8\/(-4))?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 7*k**4 + 3*k**2 - 3*k**2 + (-k**2 + 3*k**2 + 0*k**2)*(-6*k**2 + k**2 + 2*k**2).\nAnswer: k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0028189249 rounded to 3 decimal places?\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-2)\/(-4))\/((-4)\/(-80)). Suppose -p = -5*m - 0*m. Suppose 4*x = 5*t - 14, 5*t - 5*x + 0*x = 15. Solve 5*l + 18 = j + m*l, -2*l = 4*j - t for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 893*w - 1999 wrt w.\nAnswer: 893","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*p**3 - 41*p**2 + 25*p - 3 = 0 for p.\nAnswer: 3\/19, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w = -3*s + 6, 0 = 11*w - 14*w + s - 2. Solve w = -5*q + 12 - 32 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 1, v: 2, c: 1}. Give prob of picking 1 v and 1 c.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*x = -4*j + 4, 83*j - 5*x = 80*j + 3 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 30 = 4*w, -4*a + 2*w + 10 = -8. Suppose 4*p - 10 = a. Let b = -17 - -37. Solve -s = p*s - b for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 430 minutes before 3:17 AM?\nAnswer: 8:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 81 and 99?\nAnswer: 891","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1 (b) 6.52 (c) 4 (d) -5 (e) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 2*f**3 - 5*f - 6. Let q be a(-1). Find the common denominator of -63\/4 and ((-18)\/384*1)\/(q\/(-132)).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 55967, 56039, 56165, 56345, 56579, 56867?\n\"Answer: 27*c**2 - 9*c + 55949","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = d**3 + 5*d**2 - 6*d + 4. Let b be m(-6). Suppose 4*x + 4 = 6*x. Solve -x*s - 2*s = -b for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0 (b) -1\/2 (c) -217 (d) -5753\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.149 + -107.851. Let m = n - -109. Which is the third biggest value? (a) -4 (b) -0.1 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 16*x + 12*x + 3*x**2 - 32*x to d*x**2 + s*x + n and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 4 + -10 + 169\/24 and -131\/504?\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 693 = 234*q - 40*q - 81*q - 50*q for q.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 5435 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 1 k when two letters picked without replacement from pqxdk.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 3 + 2)*(0*f - 3*f + f)*((-3 + 0 + 4)*(3*f**2 - 5*f**2 + f**2) + f**2 - 5*f**2 + 3*f**2).\nAnswer: 4*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(-5)\/r**(2\/11)*(r\/(r\/(((r*r\/(r**(-1\/2)\/r*r*r)*r)\/r*r)\/r))*r)**(-5\/3) assuming r is positive.\nAnswer: r**(-617\/66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (141\/30)\/(1719\/17190).\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fmggssggm. What is prob of sequence ssmf?\nAnswer: 1\/756","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in 0.1, -0.28, 5, -4, -0.13?\nAnswer: -0.13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-11591456)\/64)\/((-1)\/2) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -f**2 - 13*f + 11. Let d(k) = -k**2 - 7*k + 6. Suppose 0 = 4*z + 5*o + 45, 0*z = -5*z + 2*o - 15. Let b(s) = z*d(s) + 3*m(s). Give b(3).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 58 and 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (0\/(-2))\/((-4)\/(-16)*4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*j = 5*g - 4*j - 37, 21 = 3*g + 2*j for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (15561\/988)\/((-9)\/(-24))?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 48*c + 216 = 12*c for c.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -41*b + 46. Let r(j) = -42*j + 44. What is -12*q(i) + 11*r(i)?\nAnswer: 30*i - 68","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 2\/(-8) + 3*621\/(-324)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.07 (b) 1.6 (c) -2\/7 (d) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -196984\/13 + 218172\/13. Let k = -1627 + p. Calculate the common denominator of k and -59\/9.\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 551557, 1103135, 1654713, 2206291, 2757869?\nAnswer: 3309447","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve q = -4*m + 9*m - 13, -3*m + 9 = 0 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*f**2 - 18 + 19 - 6*f - 1 = 0. Calculate f.\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -12112120 - -101020?\nAnswer: -12011100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1080 by 180.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 333 is divided by 24.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h when two letters picked without replacement from {h: 3, z: 13}?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) be the third derivative of 15*f**4\/8 - f**3\/3 + 3*f**2 - 7*f + 71. Let m(o) = 45*o - 2. Determine -5*m(z) + 6*t(z).\nAnswer: 45*z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) be the second derivative of -s**6\/180 - 16*s**3\/3 - 37*s. Let f(t) be the second derivative of g(t). Let n(m) = 424*m**2. What is n(f(v))?\nAnswer: 1696*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tyhyhrtzzyzyzzjy. What is prob of picking 1 z and 1 y?\nAnswer: 5\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -30248? (a) -8 (b) 0 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 79, -1\/43, 0.4, 4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 = -v - 0*v + 4*a, -3*a = -v - 1 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 23 (base 10) to base 5.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**5\/m*m**8)\/((m*m*((m\/(m*m**(2\/7)*m)*m)\/m)\/m*m)\/m**1) assuming m is positive.\nAnswer: m**(86\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -2*v - 16. Let k be z(-9). Suppose 4*i + 8 = 0, k*i - i + 104 = 3*g. What is the highest common divisor of 51 and g?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 46802?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:21 AM and 10:28 AM?\nAnswer: 67","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -55 + 59. Suppose 3*o = -q*j + 436, 5*o - o + 90 = j. What is the hundreds digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 565*b**4\/6 - 25*b**3\/6 - 565*b**2\/2 + 1205*b\/6 - 25\/3 = 0. Calculate b.\nAnswer: -2, 5\/113, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/15*(-13860)\/84?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5.12 + 5.7. Let t = v - 30.08. Let z = t + 29. Which is the nearest to 0.1? (a) z (b) 2 (c) -4\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -81*d = -85*d. Let b(r) be the first derivative of d*r - 1 + 1\/3*r**3 + 5\/2*r**2. What is the second derivative of b(w) wrt w?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -7 in 1, -5, 5, -3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 3069.28656 times -5\nAnswer: -15346.4328","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 160331.94 months to years.\nAnswer: 13360.995","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 2, 0.27, 1, 0.4, -1.7, -0.5?\nAnswer: 0.27","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-19*i**2 + 19*i**2 + 17*i**3 + 2*i)*(0 + 1 - 3).\nAnswer: -34*i**3 - 4*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 60.7916s?\nAnswer: 60791.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:28 AM and 1:07 AM?\nAnswer: 39","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 31 - 31. What is the third biggest value in 2\/13, p, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 93976?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c - 3*p + 171 = 0, -2*p = c + 3*p - 61. What is the units digit of c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 811347859 a multiple of 2560?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 91600, 0.05, -2\/15, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = v**2 - v - 3. Let k be d(3). Let n(t) = -t**2 - 16*t + 4. Suppose x = -b - 18 - 0, -x = 2. Let c be n(b). Solve -k*h = -2 - c for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 48 or 12242\/255?\nAnswer: 12242\/255","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -65*350\/500 + 47. Let k be (1\/(-2))\/((-2)\/4). Let z be 0 + -2 + (-5)\/(-3). What is the nearest to z in 6, v, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -63 + 66. Suppose a - 3*a - 3 = -3*g, -w*g = 3. Sort 6, a, -2 in descending order.\nAnswer: 6, -2, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -9 - -14. Suppose -2*d = -m*d. Let w be -2 - (20 + d)\/(-1). What is the highest common divisor of 144 and w?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by -85\nAnswer: 1\/85","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -17.9 + 16.9. Sort -9, c, -0.4.\nAnswer: -9, c, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 2 and 394469731.\nAnswer: 394469733","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (4 - 54\/15) + 13\/5. Let h = 11241\/4 + -2794. Find the common denominator of h and (744\/(-27) - 2)*y\/(-4).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 10 = -5*g - 3*i, -5*g = -5*i + 10. Let m be (-10)\/2 - (g - 0). Sort -3, m, 5 in decreasing order.\nAnswer: 5, -3, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 3*j = 4*p - 4, -4*j = -12. Suppose 3*t = -2*n + 14, 0 = -5*n + 23 - 3. Calculate the least common multiple of p and t.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine z so that -215*z**5 + 680*z**4 + 895*z**3 = 0.\nAnswer: -1, 0, 179\/43","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 15071 - 15171 - (-740)\/7?\nAnswer: 40\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11739.\nAnswer: 3, 7, 13, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + -15 - (11 - 20).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 154441*j*p**3 - j*p**2 - 15*j - 2*p**3 - 368*p**2 wrt p?\nAnswer: 926646*j - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -23*g - 150. What is j(-10)?\nAnswer: 80","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.66? (a) -2\/7 (b) -55 (c) -0.4 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -w**3 + 6*w**2 - 10. Let y be j(6). Let k = -5 - y. Suppose k*o - 136 = -31. List the prime factors of o.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*u + 430 = -1650. Calculate the greatest common divisor of u and 40.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2842, 3172, 3556, 3994, 4486, 5032?\nAnswer: 5632","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3250487132*g + 3250487132*g + 15*g**3.\nAnswer: 15*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -223*c**2*x**3 - 6*c**2*x**2 + 987*c**2 - 51*x**3 - 1 wrt x.\nAnswer: -1338*c**2 - 306","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -2 + 4 + (3 - (0 - 0)). Solve 0 = -t + d for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1737 = -426*c + 423*c. What is the greatest common factor of c and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 249 by -78.\nAnswer: -83\/26","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 115802130 and 128782?\nAnswer: 6778","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*u + 7*u + 6 = 0. Let r be (-1 - -1) + -6 + -1. Let f(b) = -2*b - 3. Let g be f(r). What is the highest common factor of u and g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((w\/w**(-1\/3))\/(w**(-2\/13)\/w))**(5\/9))**(1\/32))**(-43) assuming w is positive.\nAnswer: w**(-20855\/11232)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4*r**3*s + 207*r**3 - 19*r**2*s + 4*r wrt r.\nAnswer: -24*s + 1242","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -67564*w**3 + 10348*w**3 - 12055*w**3.\nAnswer: -69271*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 237823370 a multiple of 85?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) be the first derivative of y**2\/2 + y - 8. Let i be (0 - 0) + (0 - 1). Determine z(i).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*b - 3*b = 0. Let y(f) = b*f**3 - f**3 + 5*f + 0*f**3 - 4*f**2 + 3 + f**2. Determine y(-4).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -32, -151, -342, -599, -916, -1287?\nAnswer: -1706","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 446903?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -3*d**2 - 2*d + 1 + 20*d**3 - 2*d**2 + 4*d**2. Let j be u(2). Calculate the highest common factor of 17 and j.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 7518477?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.2 + 4.2. Suppose -v = 5*o - 9, -o = -4*v + v - 5. Let k be ((-15)\/(-9) - 1) + v. What is the nearest to k in 3\/7, 1\/5, s?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -188*p**3 + 92*p**3 + 99*p**3.\nAnswer: 3*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*k = -2*k. Suppose 4*u - u - 7*u = k. Solve -4*j = 5*z - 1 - 28, -5*z + 25 = u for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-150)\/(-40))\/(35\/84)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 107905907 a multiple of 580?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -78755 and 380347416?\nAnswer: 380426171","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(1\/8)\/s*s**(2\/11))**41*((s\/(s\/(s\/s**6)))\/(s**1\/s))\/(s**0*s\/s**(-5)) assuming s is positive.\nAnswer: s**(-3469\/88)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) be the first derivative of h**5\/120 + 5*h**4\/24 + h**3 - 2. Let c(s) be the third derivative of l(s). Calculate c(-4).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 20.402 - -0.198. Let w = n - 21. Which is the closest to -1? (a) 10 (b) 0.5 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-4 - 3 - -4) + 2. Let o be (-2)\/h + (-570)\/(-5) + -2. Is (-1)\/(-2)*6 - (-4 - o) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 650 + -87. Let s = u + 44. List the prime factors of s.\nAnswer: 607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h = -3*z + 26, -5*z = -2*h + 18 - 36. Suppose -z*x + 1064 = 3*a + 2*a, 0 = 2*a - 3*x - 437. What is the tens digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = u. Let w(h) = 0*h + 4*h - 6*h + 7*h. Let i(v) be the first derivative of 21*v**2\/2 - 1. Let p(d) = -2*i(d) + 9*w(d). What is l(p(a))?\nAnswer: 3*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 480*g - 20 = 484*g + 5*l, 3*g - 4*l + 46 = 0 for g.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z = -0*z + t - 438, -432 = -5*z + t. Is z a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 3, y: 4, v: 4}. Give prob of picking 2 v and 1 y.\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 14420\/(-1236)*(-612)\/(-252)\nAnswer: -85\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*y + 12 + 8. Suppose -y*v = -4*o + 6, -5*v - 3*o = -6*o + 2. Solve 3\/2*i**5 + 0*i - 3\/2*i**3 + 0 + 3\/2*i**4 - 3\/2*i**v = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1, -6, -35, -92, -183, -314?\nAnswer: -491","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0 - -2. Sort -5\/4, l, 0.2 in decreasing order.\nAnswer: l, 0.2, -5\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) be the second derivative of -j**4\/12 - 7*j**3\/6 - 3*j**2 + 33*j + 1. Let g = 9 + -13. What is l(g)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3407 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/4 in -4, 2, -16\/27, -0.687?\nAnswer: -16\/27","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1023953570 to the nearest integer?\nAnswer: 31999","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -5*m + 3. Let w = -12187 + 12193. Let a(h) = 4*h - 3. Determine w*a(d) + 5*k(d).\nAnswer: -d - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 6*(22 + -12) + (40 - 30)?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 447*t - 9*t**2 + 423*t - 870*t. Let c(l) = l**2 + 818*l. Determine c(b(x)).\nAnswer: 81*x**4 - 7362*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 1038 divide 359386110?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1879151 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -52, 1, 94, 233, 424?\nAnswer: 673","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -836601 - 2*v**2 + 836601. Suppose 3*h - 1 = -2*o, -4*h + 0*h + 3 = 3*o. Let b(s) = s - s - o*s**2. Determine m(b(d)).\nAnswer: -50*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 975904418?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -z**3 - 26*z**2 + 321*z + 8949. Determine r(-21).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i, 1 e, and 1 d when three letters picked without replacement from {i: 1, e: 1, d: 2}?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -4896414, -4896416, -4896418, -4896420, -4896422, -4896424?\n\"Answer: -2*x - 4896412","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -88*i**2 + 147. Let y(c) = -2*c**2 + 1. Let v(z) = h(z) + 6*y(z). What is the derivative of v(g) wrt g?\nAnswer: -200*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 644 minutes after 12:55 PM?\nAnswer: 11:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 2301 to the power of 1\/3, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-42*f - 15*f + 22*f)*(17*f + 6*f - 15*f) to the form x*f**2 + t*f + p and give x.\nAnswer: -280","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -2*k + 6. Let c be r(4). Let g be ((-2)\/(-2) - -1)\/c. Let j(x) = -10*x - 1. Give j(g).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = c**3 + 12*c**2 + 19*c + 7. Let t be k(-8). Differentiate t - 11*w - 9 + 30*w + 60*w with respect to w.\nAnswer: 79","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*-3*sqrt(76)*2*-3)\/((sqrt(4) + sqrt(4)*-3)*-4 - sqrt(4) - sqrt(44)\/(sqrt(55)\/sqrt(5))).\nAnswer: 18*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*w - 3*v = 18*w + 80, -3*w + 216 = -5*v. Calculate the lowest common multiple of 8 and w.\nAnswer: 248","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -14, 38875, 5, -4 in decreasing order.\nAnswer: 38875, 5, -4, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4019 is divided by 269.\nAnswer: 253","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o, 1 g, and 1 e when three letters picked without replacement from {e: 10, o: 1, i: 2, c: 2, g: 2, k: 1}.\nAnswer: 5\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -24*d - 41. Calculate y(-2).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -0.4, -0.05.\nAnswer: -3, -0.4, -0.05","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 528034349.\nAnswer: 29, 18208081","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z + n - 398 = -154, 0 = 5*z - 3*n - 228. Suppose -3*i - 27 = -3*x, -x = 2*x + 4*i - z. What is the units digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 42 + -140220?\nAnswer: -140134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3194 - 2091. What are the prime factors of j?\nAnswer: 1103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -29 + 57\/2. Let b(q) = -q + 3. Let i be b(5). Which is smaller: i or r?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t - 34 + 181 = -3*c, 0 = 3*t - 4*c - 142. Is 7 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine d, given that -4*d**5 - 728*d**4 + 1507*d**3 + 6365*d**2 - 13800*d = 0.\nAnswer: -184, -3, 0, 5\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 32*j**4 + 100*j**3 + 108*j**2 + 44*j + 4.\nAnswer: 4*(j + 1)**3*(8*j + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 705 is divided by 216.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1\/7 (b) -185 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -8*i**3 - 6*i**2 + i - 2. Suppose 1149000*l = 1148989*l + 187. Let g(n) = -6 + 5*n - 23*n**3 - 17*n**2 + n - 3*n. Calculate l*k(f) - 6*g(f).\nAnswer: 2*f**3 - f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1679 is divided by 98.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*d - 40 - 89. Let p(m) = 4*m**2 - 74*m + 38. Let q be p(18). Put d, 1, q in decreasing order.\nAnswer: q, 1, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose j**5\/3 - 185*j**4\/3 + 9004*j**3\/3 - 13740*j**2 + 10800*j = 0. Calculate j.\nAnswer: 0, 1, 4, 90","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ynnaayvvaaanvynv. What is prob of sequence aaav?\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*j + 131*j**3 - 63*j**3 + 6361 - 70*j**3.\nAnswer: -2*j**3 + 2*j + 6361","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*z - 4*z**3 + 0*z**3 + 5*z**3)*(-5 + 2 + 2)*(-28 + 9 + 10) - 7*z**3 + 463*z**2 - 463*z**2 + (3*z - 3*z + z**2)*(-2*z + 2*z - z).\nAnswer: z**3 - 18*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = w**3 - 3*w**2 - 4*w + 6. Let g be y(4). Let o(l) = -g + l**3 - 4*l**2 + 4*l - l - 4*l + 4*l. What are the prime factors of o(4)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 11 (b) 4\/5 (c) 0.1 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) be the third derivative of 125*q**5\/6 + 25*q**4\/3 + 4*q**3\/3 + 21*q**2. Factor j(v).\nAnswer: 2*(25*v + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1321 = -1017*r + 19627 for r.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 229 times -0.2?\nAnswer: -45.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 715 and 208.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*i**3 - 38 + 2 + 2*i**2 + 31 - 3*i + (1 - i - 1)*(4*i**2 - 6*i**2 + 4*i**2).\nAnswer: -7*i**3 + 2*i**2 - 3*i - 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 125655 to the nearest integer?\nAnswer: 354","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1112 + 1148. Suppose 3*p + 3 = 0, 4*f = -p + 35 + 12. Calculate the highest common divisor of f and j.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 46*t + 72*t - 198 = -280 - 744 for t.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -3 + 2*(-3 + 2). Let u = k - -9. Factor -4*c**u + 6*c**4 - 3*c**2 - 2*c**3 + 2*c + c**4.\nAnswer: c*(c - 1)*(c + 1)*(3*c - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 2, -16, 19, -2, -20 in increasing order.\nAnswer: -20, -16, -5, -2, 2, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 143693284*y**2 - 2*y + 47823061 wrt y.\nAnswer: 287386568","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -6, 7038, 18768, 35178, 56262, 82014, 112428?\n\"Answer: -c**3 + 2349*c**2 + 4*c - 2358","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -x**3 + 25*x**2 - 2*x + 53. Let s be z(25). Which is the nearest to -0.1? (a) -4 (b) s (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is y in -y**4 - 297*y**3 - 8027*y**2 - 4191*y + 92916 = 0?\nAnswer: -267, -29, -4, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -8*r**3 + 10*r**2 - 9*r + 23. Is x(-8) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = z**2 - 6*z - 4. Let i be f(10). Suppose -72 = -5*k - 12. What is the greatest common factor of k and i?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1292, 1392, 1478, 1544, 1584, 1592, 1562?\nAnswer: 1488","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -9 + (7 - 4) - (-20 - 9024\/(-648))\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -a + 1. Let x(f) = 3*f - 4. Let b(n) = 4*c(n) + x(n). Let y be b(-3). Let m(z) be the second derivative of -z**3\/3 - z**2 - 3*z. Calculate m(y).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.07, 3\/2, -80, -4, 5 in decreasing order.\nAnswer: 5, 3\/2, -0.07, -4, -80","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(363)*1*-3)**2 + sqrt(363) - (sqrt(363) + 1 - sqrt(363))*4.\nAnswer: 11*sqrt(3) + 3263","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 7*k + 99. Let o be z(-14). Solve -p = -1, 2*q - 2*p + o = -7*p for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -5 + 5. Suppose -2*s + d*s = -54. What is the tens digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 4*x**3 + x**2 - 9*x - 1. Let w(u) = 26*u**3 - 27*u**2 + 5711*u - 5. Let j(d) = -w(d) + 5*y(d). Find the second derivative of j(f) wrt f.\nAnswer: -36*f + 64","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-11)\/((-3*8\/108)\/2) is divided by 19?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = 2*i - 31, 4*f + 5*i - 69 = 49. What is the common denominator of 12\/f*291\/24 and (-1)\/(-1)*(-5)\/(-8)?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 134623 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -103332\/7 + 14764. Let -52\/7*l - 46\/7*l**2 - f - 12\/7*l**3 = 0. Calculate l.\nAnswer: -2, -4\/3, -1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5011 is divided by 1250?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*t**2 - 2 - 3*t**4 + 3 + 0 + 2*t**3 to m*t**3 + b*t + k + y*t**2 + o*t**4 and give o.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) be the first derivative of 39\/2*b**2 + 5*b**3 - 27*b + 12\/5*b**5 - 39\/4*b**4 - 70. Let d(g) = 0. What is g?\nAnswer: -1, 1, 9\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-3\/2)\/n**(3\/7))\/(n**(-1))**(17\/5)*((n**0*n)**(8\/15))**29 assuming n is positive.\nAnswer: n**(3557\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 1 + -92 + -36 + -51 + 54 + 17\nAnswer: -107","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 25096658.\nAnswer: 2, 17, 29, 25453","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 + 0 - 3)*(0 + 0 + 1 - 4 + 3 + 3 + (0 + 1 - 2)*(-4 + 1 + 5))*(45*w + w**3 - 45*w) in the form q*w**2 + k*w**3 + b*w + p and give k.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 34601 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (6*5\/(-60))\/(-3 + 2). What is the nearest to -1 in -15, 1\/3, -1\/3, c?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 301 = 0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does -263148 = -263150?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rznbyrrnn. What is prob of sequence zb?\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 138759913*c*f**3 + 190190608*c*f**2 wrt f.\nAnswer: 832559478*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*h**4 - 2*h**4 + 4*h**4 + (h - h - 13*h)*(0*h**3 + 2*h**3 + 0*h**3) to x*h + d*h**3 + k*h**2 + a*h**4 + s and give a.\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (5\/15)\/(2*1\/18)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.2 (b) -26.1 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = u**3 - 9*u**2 + u + 101. Let o be i(6). Let n = -1.2 + 1.2. Sort 3, o, n, -4.\nAnswer: -4, o, n, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 4, u: 3, d: 4}. What is prob of sequence uudt?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 109934 is divided by 52255?\nAnswer: 5424","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:42 AM and 3:26 PM?\nAnswer: 584","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2)\/(-5) - 1411\/(-85). Let o(q) = 14*q - 29*q + m*q. Let w(r) = 37*r + 44*r - 87*r. What is w(o(z))?\nAnswer: -12*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*k - 2*k - 14 = 0. Let q be (2\/(-2))\/(k\/(-2)). Which is smaller: 1\/15 or q?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -d**2*n**3 - 1935*d**2 - 16*n**3 + 13*n**2 + n wrt n?\nAnswer: -6*d**2*n - 96*n + 26","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let 98*p**4\/11 + 5936*p**3\/11 + 20126*p**2\/11 + 10056*p\/11 + 1368\/11 = 0. Calculate p.\nAnswer: -57, -3, -2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 335479 is divided by 111822?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 6052, 24866, 56210, 100084?\n\"Answer: 6265*t**2 + 19*t - 232","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2 - 16*4\/(-8). Suppose 0 = -13*p - 3 - v. Let f be (5 - 10\/5)\/(p - -2). Solve -1 = -0*l + 5*l + c, 0 = 3*l - f*c - 3 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1077 is divided by 197?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.149 + 0.17. Let f = -3.479 - t. Let v = f + 4.2. Sort v, -4\/7, 2, 1\/8 in descending order.\nAnswer: 2, v, 1\/8, -4\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -260848 rounded to the nearest 1000?\nAnswer: -261000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2997 and 4536237.\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 92*d + 46*d = 26*d + 2324 + 2156 for d.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.27307797 rounded to 4 dps?\nAnswer: -0.2731","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1 - -1. Suppose 0 = -q*t + 5*g + 46, -4*t - g + 80 = -5*g. What is the units digit of t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -75*d - 157. Let h(u) = -37*u - 80. What is -7*h(c) + 4*p(c)?\nAnswer: -41*c - 68","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3182, 4, -7 in descending order.\nAnswer: 4, -7, -3182","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 672 minutes after 2:09 AM?\nAnswer: 1:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (v - 3 + 3)*(1 - 4 + 5) + v + v + 0*v - 94*v - 65*v + 46*v + 4*v - 16 + 16 in the form n + i*v and give i.\nAnswer: -105","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -2 - (-2 - -1 - 20). Suppose 5*n - 4*n - 5*m = 0, 5*n - m = 96. Suppose 4*f + n = 9*f. Solve f*g - 1 = s for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1\/2 (b) -0.07 (c) 1820\/89\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1264347 by -2303.\nAnswer: -549","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*y - 113 - 22. What is the greatest common factor of 6 and y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 47*h + 5*h - 22*h = -750 for h.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2481 divided by -86418.\nAnswer: -827\/28806","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 3*o**2 + o + 4. Let m(a) = 17*a**2 + 105*a - 11. What is -m(j) - 3*x(j)?\nAnswer: -26*j**2 - 108*j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5)\/(176\/1344*35\/(-77)*-2).\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-20)\/6*(-324)\/20. Suppose -4*v - l = -5*j + 14, -4*v + 3*j = 60. Which is smaller: 4\/7 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-seven quarters of a litre?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 106664*a**3 + 4378*a**2 - 2189*a + 2189. Let k(i) = 195*i**3 + 8*i**2 - 4*i + 4. Determine -2189*k(r) + 4*p(r).\nAnswer: -199*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4? (a) -2\/109 (b) 4 (c) 0.02 (d) 0.4 (e) -5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = 3 + 1. Suppose -f*m - 2*q + 150 = 0, 189 = 2*m - q + 33. Let o be (-2)\/7 + (-132)\/m. What is the closest to o in -0.3, -0.1, 4?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 2*d + 0)*(-682*d + 3 - 3 + 1139*d).\nAnswer: -914*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -11834640019955565\/77462 - -152779943969. Let i = 1\/3521 + t. What is the common denominator of i and (-1)\/(-2) + (-93)\/20?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*t = 3*x + 5*t + 16, 0 = 2*x + 3*t + 18. Let s be (-1)\/(3 + x + 4). Let l(i) = i**2 + i. Let v(n) = 7*n**2 + 5*n. What is s*v(d) + 5*l(d)?\nAnswer: -2*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (sqrt(3) - sqrt(24)\/sqrt(8)) + 3*(sqrt(3) + sqrt(24)\/sqrt(8)) - (1*(2 + sqrt(147)))**2*5.\nAnswer: -758 - 134*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -682 - -687. What is the nearest to m in -3\/7, -0.1, -0.2?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 20546, 41140, 61734, 82328?\n\"Answer: 20594*a - 48","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 56\/(-7) + (-33)\/(-4).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 617*d**3 - 5*d - 5. Let x(o) = 308*o**3 - 3*o - 3. Determine -3*h(m) + 5*x(m).\nAnswer: -311*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 263.6457 weeks to nanoseconds.\nAnswer: 159452919360000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -3*h**2 + 2*h - 4. Let f(s) = 10*s**2 - 5*s + 11. Let i(z) = 3*f(z) + 8*o(z). Let j be i(-1). Is 23 a factor of (3\/(j\/184))\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c = 2 + 10. Let l = -5 + c. Factor 1 + l - n**2 + 0 + n.\nAnswer: -(n - 2)*(n + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 139.627 + -1.7?\nAnswer: 137.927","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-38)\/3*(-12)\/8. Let o = b - 15. Find the second derivative of 3*n**3 - 15 + 15 + o*n wrt n.\nAnswer: 18*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1940777 to the nearest integer?\nAnswer: 125","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 751561, 751598, 751627, 751642, 751637, 751606, 751543, 751442?\nAnswer: 751297","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23*b**2 + 4*b**2 + 9 + 11 - 140*b**3 - 18 + 19*b**2.\nAnswer: -140*b**3 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -x**2 + 8. Let k(i) be the second derivative of -i**5\/60 - 9*i**3\/2 + i**2 + 29*i. Let m(u) be the second derivative of k(u). What is m(p(y))?\nAnswer: 2*y**2 - 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + 9 - 2 - 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*n - 2*n + 12 = 0, -4*j + 11 = 3*n. Let a be -12*(-2)\/(8\/(-3)). Let v = a + 26. What is the remainder when v is divided by j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -110*m - 15 = -115*m. Let l = -0.0726 + 0.1426. Which is the closest to l? (a) 0.1 (b) 5 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 103\/855714 and 19\/66.\nAnswer: 9412854","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 98552143.\nAnswer: 98552143","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -27*c - 627. Calculate m(-25).\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of o**3 + 10*o**3 + 10*o**4 + 3*o - 11*o**3 - 28 + 10*o**4 wrt o?\nAnswer: 240*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = w + 199. Let o be j(-40). Let p be 12*(-1 + 140\/6). Let d = p - o. What is the units digit of d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -308529 and 2.3.\nAnswer: -308526.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 154 (b) -0.5 (c) -3 (d) -4891\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a = 3*j - 10, 302*a + 4 = 304*a + 2*j for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3156 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) be the first derivative of i**4 + 8*i**3\/3 - 14*i**2 + 16*i + 23. Find u, given that m(u) = 0.\nAnswer: -4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 24 and 3301719?\nAnswer: 26413752","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 60 and 3730?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) be the first derivative of -99*t**4\/2 + 147*t**2 - 2*t + 96. What is the second derivative of c(f) wrt f?\nAnswer: -1188*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g**(-17))**26 assuming g is positive.\nAnswer: g**(-416)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -143\/17920 and -23\/68608.\nAnswer: 2401280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 97*m = -94*m + 128787, -2*y + 128782 = -4*m. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = f + 40. Let o be v(21). Let y = 129 - o. What are the prime factors of y?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 20, 0.1, 3\/5, 8, -0.3, 10\/9?\nAnswer: 20","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 h when four letters picked without replacement from {h: 5, j: 11}?\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = g**3 - 7*g**2 - 4*g. Let w be r(9). Suppose 170 = 5*h + q, 3*q + 44 = 5*h - w. List the prime factors of h.\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 19628297?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:01 AM and 6:14 PM?\nAnswer: 493","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -28*t**4 - t**3 + 3550*t**2 + 227435 wrt t.\nAnswer: -112*t**3 - 3*t**2 + 7100*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 47 - 22. Does 17 divide 1*3 - (-109 - j)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3293 - 3293 + 46*p)*(3*p**3 - 3*p**3 - 2*p**3).\nAnswer: -92*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -472 greater than -473?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*q + 8 - 8 - 19*q - 6315*q**2 + 6313*q**2.\nAnswer: -2*q**2 - 22*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.089 - -0.153. Which is greater: c or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 56*p**2 - 25*p. Let x(t) = t - 11*t**2 + 4*t + 0*t. Let l(w) = 2*m(w) + 11*x(w). What is the second derivative of l(u) wrt u?\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 26*s - 6. Let o(q) = q**2 - 18*q - 33. Let i be o(17). Let y = i - -67. What is the remainder when b(6) is divided by y?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mgglalmmmgamgmgagll. Give prob of picking 1 a and 1 l.\nAnswer: 4\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:56 PM and 5:35 AM?\nAnswer: 699","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -36*q**2 - 122*q**3 + 14*q**3 - 5*q + 292*q**3 + 36*q**2.\nAnswer: 184*q**3 - 5*q","meta":{"dup_signals":{},"source":"polynomials__collect_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: Convert 15210 (base 6) to base 4.\nAnswer: 212112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -2*v**3 - 2*v**2 + v + 3. Let q(z) = z**2 + 12*z + 18. Let l(h) = h - 7. Let g be l(-5). Calculate the least common multiple of u(-3) and q(g).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wwpwwrpporwwwoww. Give prob of picking 2 p.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 16, x: 1, p: 1}. What is prob of sequence rx?\nAnswer: 8\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*p**2 - 201005 + 201005.\nAnswer: 2*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 212825053?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 30086 is divided by 100?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 divided by -32?\nAnswer: -13\/32","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 127\/18 and 97\/13877988?\nAnswer: 41633964","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25 - 13 = 2*t + 2*d, 3*t + d = 10 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 667 - 40019\/60. Let g(b) be the third derivative of -1\/24*b**4 - z*b**6 + 0 + 0*b**3 + 0*b**5 + 0*b - 2*b**2. Find the second derivative of g(a) wrt a.\nAnswer: -12*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 6*t - 8*t - 4 + 3*t. Let v be c(-3). Let y(x) = x**2 + x + 14. What is the tens digit of y(v)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -11 + 13. Suppose u = 2*l + 14, -y*u + 0*l + l = -13. Are u and 1 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -4*k - 56. Suppose 4*z - 4*b + 16 = 0, z - 148 = 5*b - 124. What is u(z)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 52 = 5*i - 68. What is the units digit of (6\/2)\/(i\/32)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/21, -5.237, 2\/13, -0.3, 3\/4 in increasing order.\nAnswer: -5.237, -0.3, 2\/21, 2\/13, 3\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 0.4, 8, -777, 4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6778 is divided by 113.\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -47, 3, -4, -27.\nAnswer: -47, -27, -4, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*t + 55 - 5 = 0 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 160072 and 494768.\nAnswer: 5442448","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 3*u**2 - 3*u**2 + 3*u**2 - 2*u**2. Let j(h) = h - 2*h + 8*h + h. Give j(m(r)).\nAnswer: 8*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 159963235 divided by 5.\nAnswer: 31992647","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Total of 7354.572 and 49.\nAnswer: 7403.572","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -8*d. Let u(s) be the first derivative of 149*s**3\/3 - 3180. Give a(u(w)).\nAnswer: -1192*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 389924033 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 845 divide 1180945096?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u + 5*l - 26 = 0, 12545*u - 12501*u - 362 = -5*l for u.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -2*x**3 - 16*x**2 + 63*x - 105. Calculate d(4).\nAnswer: -237","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*p**4\/3 + 40*p**3\/3 + 8*p**2 - 2240*p\/3 - 6272\/3.\nAnswer: -2*(p - 14)**2*(p + 4)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d = -h + 478, -2*h = -4*d + h + 470. What is the units digit of d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 77*x + 4336660 = 193*x. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve h + 29 + 6 = 23 for h.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 46, -2, -50, -98?\nAnswer: -146","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (122\/(-8296))\/(7\/28).\nAnswer: -1\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from citttxcyictxxtrrxt. What is prob of picking 2 t and 1 x?\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 180406 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -24, -38, -78, -156, -284, -474, -738, -1088?\nAnswer: -1536","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor r**3\/4 - 605*r**2 + 1030277*r\/4 + 279700471\/2.\nAnswer: (r - 1361)**2*(r + 302)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) be the first derivative of -12*p + 8*p**2 + 0 - 8*p**2 - 2 + 2*p**5. Differentiate v(k) wrt k.\nAnswer: 40*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2914 and 18483502?\nAnswer: 2914","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 1090*u - 430. What is the ten thousands digit of w(36)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11 (base 4) to base 7.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 210 divide 205667070?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(34)*2*4)\/sqrt(2)*-4*2)**2.\nAnswer: 69632","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*z + 5*z - z**2)*(-889*z**2 - 148*z**3 + 889*z**2) + 2*z - 2*z**5 - 2*z.\nAnswer: 146*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 4 (b) 17\/22 (c) -2.78\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3823645098.\nAnswer: 2, 3, 7, 13, 359, 19507","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -38219*c - 4*c**3 + 38219*c.\nAnswer: -4*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 12*w + 205. Determine s(-20).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 62503 is divided by 2976.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:01 PM and 3:46 AM?\nAnswer: 345","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 15726*w + 267374. What is j(-17)?\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 166 = 3*f + 4*w, 0 = f + 3*w - 42. Is f equal to 30?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 46584367 to the nearest one hundred thousand.\nAnswer: 46600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 780 and 132210.\nAnswer: 264420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a minute in seconds?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*f + 7*f + 0*f + 5*f.\nAnswer: 16*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 57 = -3*t - h, 3*t + 2*h + 42 = 0. Let v be 1\/(3 + t\/6). What is v rounded to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -744*x**3 - x**2 - 5*x. List the prime factors of b(-1).\nAnswer: 2, 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -85*l**2 - 7135*l + 453. What is b(-84)?\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (8\/(-6))\/((-1)\/6). Let g(k) = k - 6. Let n be g(d). Is 16 a factor of (-1)\/(1\/(-10))*n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2097249\/1790 + -226\/895. Suppose -15 = -7*g + 2*g, 5*y + 4*g = 5882. Let j = y + n. What is the common denominator of 11\/4 and j?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 19\/178 and 61\/10.\nAnswer: 890","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1989348?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = u**2 - u + 2. Let h be f(2). Suppose -h*a + 15 + 1 = 0. Solve 4 = a*c - 3*c for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(-28)\/j*j**(6\/19)*j*j*j)\/(j**6\/(j\/(j**(2\/5)*j*j))))**(-4\/15) assuming j is positive.\nAnswer: j**(12572\/1425)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 9 and 2256993.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 7163364 and 84318?\nAnswer: 3666","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kdcl when four letters picked without replacement from {n: 2, l: 1, c: 2, d: 1, x: 1, k: 1}.\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -26276 divided by -3?\nAnswer: 26276\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 3473496 divided by 108?\nAnswer: 32162","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Let n = 2459.97863068649 - 5.97864335649. Let u = 2454 - n. What is u rounded to 6 dps?\nAnswer: 0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in seventy-five eighths of a millennium?\nAnswer: 9375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*((sqrt(99) - 2*sqrt(99)) + sqrt(99) - sqrt(99) - sqrt(99)))\/((sqrt(54) - sqrt(216))\/sqrt(6)).\nAnswer: 4*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:56 PM and 1:36 AM?\nAnswer: 400","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 334009 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -39544*q**3*u**4 + 2971*q**3 - 3*u**2 wrt u?\nAnswer: -949056*q**3*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 97940462 is divided by 3304?\nAnswer: 3294","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express (w + 3*w + w)*(2 + 19*w - 2) + 0*w**2 - 2*w**2 + 0*w**2 - 3 + 3 + 2*w**2 as j + l*w + k*w**2 and give k.\nAnswer: 95","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -426*v**2 + 1040*v + 1032908 with respect to v.\nAnswer: -852*v + 1040","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 112076.\nAnswer: 2, 28019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 5 + 2 = 0. Suppose -2*v - 2*a = -a - 4, -5*a + 6 = -4*v. Let u be 0 - -1 - (0 + 0). Solve j*r + y = v, -3*y - u = 4*r + 1 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 22712666, 45425327, 68137988?\n\"Answer: 22712661*l + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -a**2. Let h(y) be the third derivative of -y**5\/60 - 2*y**2 + 4. Determine -4*d(u) + 10*h(u).\nAnswer: -6*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 3, d: 1, n: 6, s: 2, r: 3}. Give prob of picking 3 n and 1 d.\nAnswer: 4\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 3503113 - 64?\nAnswer: 3503016","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 248*a + 70 = 241*a. Let x = 0 + 1. Let z(r) = -2*r**2 + 2. Let w(s) = s + 1. Let u(j) = a*w(j) + x*z(j). Factor u(n).\nAnswer: -2*(n + 1)*(n + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mmlmlmmlllllmm. Give prob of picking 2 m and 2 l.\nAnswer: 63\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4*(-8)\/(-24)*(-72)\/(-6).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -3*a + 27. Let h(o) = -2*o + 20. Let x(t) = 3*c(t) - 4*h(t). Let v(f) = 2 + f**2 - 7 + 6 + 1 - 2*f. Calculate v(u) - 2*x(u).\nAnswer: u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q + 111*j = 129*j - 8, 3*q - 4*j = 11 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (5 + (-30)\/5)*2050. Let w = -4750 - u. What is w rounded to the nearest one hundred?\nAnswer: -2700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -75 and -0.044.\nAnswer: 3.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7864 is divided by 64.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 4*k = -59756, -156*s - 74698 = -161*s + 2*k. What are the prime factors of s?\nAnswer: 2, 3, 5, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -3\/22, 2, 3\/2, 126?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 125 in -4\/3, -1\/2, 0, 65, 4?\nAnswer: 65","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 38401 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 389683 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: Which is greater: 48\/2734049 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -320*u + 304*u + 48 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -30260 + 32395. Calculate the lowest common multiple of n and 854.\nAnswer: 4270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -20201 + -14?\nAnswer: -20220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out 20859056.8334 - -11.\nAnswer: 20859067.8334","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 2*z**2 - z + 1. Let m be d(-2). Let q = -28 + 54. Let n = q - m. List the prime factors of n.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*1*(sqrt(637) + sqrt(637) + (sqrt(637) - -3*sqrt(637)*-2)).\nAnswer: 42*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6734919420?\nAnswer: 2, 3, 5, 71, 175663","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -5.2 and -401.8?\nAnswer: 2089.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 1633316, 1633269, 1633222?\n\"Answer: -47*z + 1633363","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.04 + 31.04. Let x = h - 31.2. What is the nearest to 2 in x, 0.4, -4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 9*c**2 + 5*c + 3. Let b(q) = -4*q**2 - 2*q - 1. Let p(o) = 2*a(o) + 5*b(o). Let d be 12*(2 + (-6)\/4). Let w = d + -8. Determine p(w).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -95820\/11 or 13.65?\nAnswer: -95820\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -123591, -122093, -120595, -119097, -117599, -116101?\nAnswer: -114603","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -192*p + 23993 = 75*p - 183199. Solve 759*h + 85 = p*h for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zt when two letters picked without replacement from nssssnnnztsysns?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 29376155729 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-28)\/84 - (2\/3)\/(-2). Let b be 0\/((-1)\/(-1)) + y + 2. Solve -3*k + b = -4 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1216 divided by 38\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -14*c**3 + 80 - 157 - 284*c**2 - 85 - 94 - 24*c - 952*c.\nAnswer: -2*(c + 4)*(c + 16)*(7*c + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*c + 3*c + 4*y + 2380, 2*y = 0. Is c a multiple of 68?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(500)\/(sqrt(810) - (-2*sqrt(810) - sqrt(810) - sqrt(810)) - sqrt(810)))\/(sqrt(50)\/(sqrt(5) - sqrt(45)\/(sqrt(9)*-2) - sqrt(5))).\nAnswer: sqrt(5)\/72","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -2*q. Let f(h) = 90738*h + 209. What is k(f(w))?\nAnswer: -181476*w - 418","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1041115 and 15?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 8 = 0, -s + 2*b = -0*b + 1. Suppose -s*v + 7 = -5*m - 0, m = -5*v + 21. Solve 6*f = k + f + 15, v*k + 2*f + 16 = 0 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 3034 to the nearest 100.\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (12\/7)\/((-882)\/(-1470)). Determine u, given that 20\/7*u**3 + 2\/7 + 2\/7*u**5 + 10\/7*u**4 + 10\/7*u + t*u**2 = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -10*k + 441. What is l(47)?\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 2*t = -5*d + 8, 4*d + 5*t = -1. What is the remainder when 21 is divided by d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 - 5 = -d. Suppose -5*m = 0, -d*m + 69 = -0*s + 3*s. Suppose 9 = -2*u + s. Solve -3*i = -u - 5 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(156) - (sqrt(156) - (sqrt(156) - (2*-1*sqrt(156) + sqrt(156))))) + sqrt(156) + sqrt(156) + sqrt(156))\/sqrt(12).\nAnswer: 5*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve u + 4*d - 43 = -13, 2*u = 4*d - 24 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -5 + 23. Suppose l*g = 6*g - 4068000. Round g to the nearest 100000.\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:29 PM and 10:35 PM?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let 0*u + 2\/3*u**3 - 1\/6*u**4 - 2\/3*u**2 + 0 = 0. What is u?\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 494, 5, 6\/11, -0.5, -0.3, 1\/154?\nAnswer: 494","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 12611 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*v + 0*v - 5*v)*(-737 - 453 + 2245) to s*v + c and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 48*s = 308. Solve 12 = 3*d + n, -2*n = 4*d - s*d + 21 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.034 - -37.034. Let b = u - 40.1. Let k = b - -2.49. What is k rounded to one dp?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 3415 = -5*n, 64*n - 65*n + 3*q = 679. Is n at least as big as -691?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12404 + -32.\nAnswer: 12372","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -b**3 + 7*b**2 - b + 23. Let u be r(6). Suppose 3*z + 42 = s, -2*z + 15 = 2*s - 93. Let o = u - s. What is the highest common factor of 8 and o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -v**2 - 40*v - 107. Let a be l(-20). What is the fourth smallest value in -0.2, a, -3, -0.5?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 218*b. Let c(v) = -2*v + 927. Determine c(n(s)).\nAnswer: -436*s + 927","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 329\/5252? (a) -5 (b) -0.5 (c) 4 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 57167.\nAnswer: 11, 5197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 87 - 84. What is the smallest common multiple of -3 - a\/((-3)\/(-30)*-2) and 10?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6631 (base 13) in base 8?\nAnswer: -33634","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 5*q + 85. Let x = q + 28. Solve 5*a - x = 3 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.31519 - 0.33519. What is the smallest value in q, -2.13, 1\/7?\nAnswer: -2.13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = y**2 + 6*y + 103. Let n(t) = -3*t**2 - 27*t - 310. Let z(q) = -10*c(q) - 3*n(q). Give z(8).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 85880 divided by 904.\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 p when two letters picked without replacement from {p: 2, n: 16}?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6*(-6)\/12*21\/(-4)*76\/(-2907).\nAnswer: -7\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -3789712 divided by 8938\nAnswer: -424","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*i**3*z**2 - 119045*i**3*z - i**3 + 275*i**2*z**2 + 2*i**2*z + 3*i**2 wrt i.\nAnswer: -12*z**2 - 714270*z - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -4*h**2 + 65*h + 56. Suppose -16 = -2*a, 432*t - 3*a = 430*t + 10. What is m(t)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1563)\/21 - 16\/28. Put 1, a, 4, -5 in increasing order.\nAnswer: a, -5, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.18103 to two dps.\nAnswer: -0.18","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 7*((-4)\/(-14))\/1. Let d be -9*4*(-11)\/c. Suppose s - 5*s + d = -5*i, 8 = -4*i. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m**4\/4 - 65*m**3\/4 - 177*m**2\/4 + 553*m\/4 - 155\/2 = 0.\nAnswer: -62, -5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/24)\/(1\/16)*6?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -r**2 + 5*r - 1. Let h be n(2). Suppose w + 2 = h. Suppose -8010 = -4*y + 5*o, w*o = -2*y + 7*o + 4008. Round y to the nearest one thousand.\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 4*d**2 - 7*d + 6. Let v(i) = 3*i**2 - 8*i + 7. Let r(p) = 5*p - 31. Let g be r(7). Let b(c) = g*q(c) - 3*v(c). List the prime factors of b(4).\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (4\/(-6))\/(4 - (-55)\/(-15)). Let f be (1\/s)\/((-33)\/6 - -6). Which is the nearest to f? (a) -4 (b) 3\/2 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -3, -54, -2\/11?\nAnswer: -54","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -1116 divided by 372\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*j + 11*j = 40. Let u = 187 - 110. Calculate the remainder when u is divided by j.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 857\/3735 + -3\/415. Which is the third biggest value? (a) q (b) -2 (c) -6 (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 129, 248, 369, 492, 617, 744?\nAnswer: 873","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 127 + -126. Which is the fourth biggest value? (a) 2 (b) x (c) -0.2 (d) 7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*g + q + 3 + 3, -5*g - 1 = 2*q for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 5*l + 4 = 0, -4*j - l - 4 = 2*l. Let a = -9 - -6. What is the second biggest value in j, 5, a?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -18 (b) -6\/49 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4.5 + -4. Suppose -73 = 10*u - 123. What is the fourth smallest value in 0.4, 0.04, v, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 233059 = 18*g - 180671. Let y(w) = -g*w + 22978*w + 2 + w**2 + 1. Calculate y(5).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*a**3 + 2*a**4 + 0*a**3)*((2 - 1 + 0)*(-2 + 6 - 2) + (-12 - 13 + 3)*(1 - 5 + 2)).\nAnswer: 92*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 129927461 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:08 PM and 2:49 AM?\nAnswer: 641","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*q - 9*q**3 - 5 + 2 + 295*q**2 - 328*q**2 = 0.\nAnswer: -3, -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 5*h + 2. Let z be 12 - (50\/5 - 6\/3). Let p(j) = -j**2 - 4*j - 1. Calculate z*x(i) + 5*p(i).\nAnswer: -5*i**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 7*q = -5*g + 27, 0 = -4*q - 3*g + 75. Let n = -3 + 4. What is the remainder when q is divided by n + 0 - -1*5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3204, -3726, -4454, -5274, -6072, -6734, -7146?\nAnswer: -7194","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1185.\nAnswer: 3, 5, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-4)\/6 - (-6)\/9. Let m be (-2 + 1)*40\/(-1). Suppose o = 6*o - m. Solve -3*v - 1 - o = z for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3*(-16)\/9*9\/(-6).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -8 in -2, -0.004, -1\/2, 0.1, 7?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = a + 14, 166*a + 17 = -5*i + 168*a. Let v(q) = 4*q**3 + 4*q + 11 - 8 - 3*q**3 + 6*q**2. Determine v(i).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 25, 1, -29, 3, -3, 0 in increasing order.\nAnswer: -29, -3, 0, 1, 3, 25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2067 + 694 = 251*x for x.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -17, -38, -93, -200, -377?\nAnswer: -642","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*c**2 + 3*c**2 - 4*c**2 + (-2*c - 3*c + 3*c)*(-2 + 2 - 2*c) + 1015*c + 171*c**2 - 1015*c - 10 + 10 - 2*c**2 to the form q + w*c + b*c**2 and give b.\nAnswer: 172","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 67.916 + 0.084. Let c = 21390.3 + -21390. What is the smallest value in c, n, 1?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000025809679 rounded to 7 dps?\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = q**2 - 16. Let v be n(0). Let m be (v\/(-20))\/((-2)\/10). Which is the third smallest value? (a) m (b) -0.1 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (6\/4 - -4)*4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 18452473 to the nearest integer?\nAnswer: 264","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1716100*h**3 + 29184180*h**2 - 178176*h + 272.\nAnswer: -4*(h - 17)*(655*h - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (sqrt(2736)*2)**2.\nAnswer: 10947","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -59\/10 and -43\/1308.\nAnswer: 6540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:57 PM and 6:53 PM?\nAnswer: 56","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1701234?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -7a18 (base 13) in base 10?\nAnswer: -17090","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 3624\/8*4\/3. Calculate the remainder when 98 is divided by q\/24 + 1\/(-6).\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 10*(3 - 10\/4). Suppose 4*s - o - 704 = 0, -4*o - 42 + 201 = s. Suppose k*n - s = -3*f, 2*n + f + 3*f = 56. Does 14 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -g**2 - 24*g - 31. What is j(-23)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 440 and 1672?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Determine q, given that -q**3\/4 - 435*q**2\/2 + 18631*q\/4 - 17820 = 0.\nAnswer: -891, 5, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - s - 3*s = -5, 0 = 4*s - 12. Suppose b*c - 8*c = -2*r + 4, 2*r = 3*c - 4. Solve 4*a + 8 = 2*x, c*x - 6*x - 4*a - 16 = 0 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*c - 10 - 32 = 0. Let z(f) = -4*f**3 - 11*f**2 - 11*f + 7. Let r be z(c). Suppose 0 = 7*o - r - 54. What is the greatest common divisor of 17 and o?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -4 (b) 8\/5 (c) -22 (d) 32\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.94 - 2550702073881.\nAnswer: -2550702073881.94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -246 - 2*v**4 + 3*v**2 - 3*v**2 - 7*v**3 + 20 - 6 to the form p*v + s + x*v**3 + u*v**2 + y*v**4 and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4349785 or -4349782?\nAnswer: -4349785","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 2*k + 18. Let u be y(-7). Suppose -u*b + 1 = 3*h - 23, -4 = -h. Suppose b*o + 4*t = o, 2*o - 7 = 3*t. Solve -j + o*j - 1 = 0 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = h**2 + 5*h - 3. Suppose -4*v + 13 = 1. Suppose -4*g = v*g - 35. Let b(a) = a**2 + 6*a - 4. Give g*b(l) - 6*u(l).\nAnswer: -l**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 23*g + 3. Let k(h) = -45*h - 5. Determine -4*k(x) - 7*o(x).\nAnswer: 19*x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -4 + 37?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1990211 to the power of 1\/3, to the nearest integer?\nAnswer: 126","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*t = 19*t - 51. Suppose -2*p + t + 53 = 0. Suppose 7 = 3*n - 4*w, 2*n + 4*w = 4*n - 2. What is the greatest common factor of p and n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -18 - -20. Solve q*t - 5*t = -3*u - 12, 5*t - 20 = u for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-67 - -23) + (-8 - -37) + (-74 - 3).\nAnswer: -92","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) be the second derivative of f**6\/15 + 3*f**2 - 8*f. What is the derivative of i(j) wrt j?\nAnswer: 8*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 11*(-1 + 0)*2. Let q(a) = -a**2 - 20*a + 47. Let f be q(y). Calculate the greatest common factor of f and 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 139 - 3b82e3?\nAnswer: -3b81a9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -m. Let t(p) = -17*p**2 + 2*p**2 - 44*p + 82*p - 41*p - 9. Determine b(t(k)).\nAnswer: 15*k**2 + 3*k + 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert -52431 (base 6) to base 3.\nAnswer: -100201001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2156742\/35*((-378908)\/126304 + 3). Let p = z + -6\/3947. What is the common denominator of 35\/12 and p?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 - 10*l**3 - 96*l**3 - 2.\nAnswer: -106*l**3 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 1320, 973, 624, 273, -80, -435, -792?\n\"Answer: -a**2 - 344*a + 1665","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) be the second derivative of -1\/24*s**4 + 1\/3*s**2 + 6*s + 0*s**3 + 16 - 1\/120*s**5. Factor k(h).\nAnswer: -(h - 1)*(h + 2)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + -13 - (-34 + 67 + -16 + 33).\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 3\/(-21) - (-2 + (-2125)\/(-119)). Put 4, s, -5, -1, 0 in ascending order.\nAnswer: s, -5, -1, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -a + 3*a - 4*a + 2199 - 2199 - 61*a + (110 - 230 + 84)*(5*a + a - 4*a) to u*a + v and give u.\nAnswer: -135","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -x**3 - 6*x**2 + x + 3. Let h be w(-6). Let r be (2\/h)\/((-1)\/3). Suppose 0 = -r*p - 3*p + 750. What is the greatest common factor of p and 60?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 2 + 220?\nAnswer: 222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Determine g so that -g**2\/5 - 5414004*g\/5 + 10828012\/5 = 0.\nAnswer: -5414006, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -2*c + 2. Let y be 0\/(-2 - (0 + 0)). Let n be r(y). Suppose 7*u - n*u - 20 = 0. What is the units digit of u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 1 n when two letters picked without replacement from {h: 2, n: 2, e: 1, i: 6, u: 6, g: 1}.\nAnswer: 4\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1725 - 5174\/3. Which is the nearest to 0.2? (a) -1.9 (b) 0.19 (c) 4 (d) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 - 1 = 2*p. Let l(h) = -h + 292 + 302 - 592. Let b(n) = 1. Give p*l(j) + 2*b(j).\nAnswer: j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 2*f**2 + 71*f - 1136. Give t(13).\nAnswer: 125","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -487, -1945, -4365, -7741, -12067, -17337, -23545?\nAnswer: -30685","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -13*m - 11. Let i(s) = 7*s + 6. Let r(l) = -6*c(l) - 11*i(l). Let v(b) = b + 3*b + 0*b. Let g(p) = 5*r(p) + v(p). Let j(t) = t**2. Give g(j(u)).\nAnswer: 9*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 994127 divided by -71.\nAnswer: -994127\/71","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 104 in -5, 0.05, 5, -3, 0.1?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -3*n**3 - 2291*n**2 + 286*n - 365187. What is p(-764)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 176 and 80?\nAnswer: 880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 163*m = -214*m + 47*m + 3630 for m.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) be the second derivative of 15*i**4\/4 + 4*i**3\/3 + i**2\/2 - 16*i. Let x be u(-5). Suppose 4*z = -2*z + x. What is the hundreds digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -906202284*i**4 - 453298820.\nAnswer: -3624809136*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-183)\/24 - (-171)\/(-456).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 412\/33 - 38\/3. Which is the nearest to 1? (a) -3 (b) 1\/5 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 626864 and 10150?\nAnswer: 15671600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*b**2*t**3 - 142*b**2*t - b*t**3 + 228*b*t**2 - 19336*t**3 wrt t?\nAnswer: -18*b**2 - 6*b - 116016","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -436 = -6*j + 218. Let u = j - 57. What is the remainder when u is divided by (-20)\/(-50) - (1 - 48\/5)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 812939?\nAnswer: 812939","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1 + -2002010?\nAnswer: -2002011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (-45)\/12*52960\/(-769575)\nAnswer: 8\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(1 + -3*6*(sqrt(128) + 1 + sqrt(128) + 0)))**2*6.\nAnswer: 1468800*sqrt(2) + 24926550","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 - 3 = 3*c. Is c <= 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n + 35*w + 103 = 39*w + 21, -8*n - 190 = 2*w + 48 for n.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Add 3188083.9 and 5.\nAnswer: 3188088.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20723456?\nAnswer: 2, 13, 479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(-4)\/h)\/(h\/(h\/(h\/((h\/h**1)\/h)))))**(-23) assuming h is positive.\nAnswer: h**161","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 4 (b) 0.1 (c) -5 (d) 0.025\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4531, -18129, -40793, -72523?\nAnswer: -113319","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) be the third derivative of p**4\/24 + 3*p**2. Let j be 2*7*(-96)\/(-224). Give s(j).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 55895*u**3 + 14340*u**3 - 70231*u**3.\nAnswer: 4*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.01092 to four dps.\nAnswer: 0.0109","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 4, u: 4, k: 4, b: 2}. What is prob of sequence bu?\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = i**3 - 7*i**2 + 5*i + 2. Let h be t(6). Which is the nearest to 1? (a) h (b) 0.5 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/32 of a gram in micrograms?\nAnswer: 93750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000056126 to seven decimal places.\nAnswer: -0.0000056","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = b**2 - b + 1. Let t(j) be the first derivative of 0*j**2 - 1\/3*j**3 - 2*j + 19. What is -t(q) - 2*x(q)?\nAnswer: -q**2 + 2*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 3*l + 1 - 4 - 4 - 4. Let o be t(5). Let a(i) = i**3 - 3*i**2 - 2*i - 2. Let y be a(o). Solve -5*u - 3*h = -3, y*u - 1 = 3*u - h for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 30 and 354.\nAnswer: 1770","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (2 - -4) + (-1104)\/(-2).\nAnswer: 2, 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(91)*1)\/sqrt(7) - -2*sqrt(1573))**2.\nAnswer: 6877","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9)\/12*(-15)\/((-1350)\/(-96)).\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-25)\/(-35) - ((-36)\/(-21) - 2). Let o be 12\/10*((-50)\/45)\/y. Put o, 0, 1 in descending order.\nAnswer: 1, 0, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-f**2 - 4*f**2 + 3*f**2)*(0*f - 5*f + f) + (-43*f + 9*f**2 + 43*f)*(2 - 2*f - 2).\nAnswer: -10*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = y**3 - 3*y**2 - 5*y + 5. Let m(a) = -2*a**3 + 6*a**2 + 9*a - 10. Let s(o) = 2*m(o) + 5*w(o). What is s(4)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 + -286558549370071\nAnswer: -286558549370070","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 10, 42, 104, 202, 342, 530, 772, 1074?\n\"Answer: t**3 + 9*t**2 - 2*t + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*w - 44 = 4*g, -6*g = -2*g + 4 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:42 PM and 6:51 PM?\nAnswer: 249","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -1*(-2)\/(-17)*(-183 - -166). Find l such that 1\/7*l**3 + 3\/7*l**o + 1\/7 + 3\/7*l = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve l - 11 = 3*o - 12, o = 4*l + 4 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*v + 14 - 48*v + 21*v + 11*v.\nAnswer: -2*v + 14","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 63 + -58. Solve 4*n = 5*w + 1, w + 6 = -x*n - 0 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h and 2 n when four letters picked without replacement from nlhmnnhmmmnnamm.\nAnswer: 2\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 7571 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -y**3 - 39*y**2 - 45*y + 15. What are the prime factors of u(-38)?\nAnswer: 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3*(110\/(-15) + 8) - -19939 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -6918, -0.11, 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) be the second derivative of -11*d**6 + 3*d**5\/20 + 1086*d**3 - 6187*d. Find the second derivative of a(b) wrt b.\nAnswer: -3960*b**2 + 18*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 406117 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 53 + (-53 - -37) + 0.\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 9 - 7. Suppose -a + 2*r + 12 = -k, -2*r - 18 = -2*a. Let l be 41 - 27 - 200\/14. What is the second smallest value in a, -4, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 119397976.\nAnswer: 2, 19, 53, 14821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -1251414 (base 6) in base 13?\nAnswer: -25582","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8)\/42*((-218)\/8720 + (-27)\/40).\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 0.27 (b) -5 (c) -2.95 (d) 1\/6 (e) 76 (f) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 3, -24, -173, 3.2, 5, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (637 + 467 - 61)*(-3 - 4 + 1)*(-3*x + 3*x - 2*x) to the form r*x + p and give r.\nAnswer: 12516","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -5\/3, 1\/4, -3\/5, 1, -1\/17?\nAnswer: -1\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.598 + -0.198. Which is the nearest to -2\/3? (a) h (b) 15\/7 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -0.372411 and 0 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 73903 is divided by 7389.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -635 - 2025 = 961*f - 1151*f for f.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 179 is divided by 47.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 303, 1555, 3661, 6627, 10459, 15163, 20745, 27211?\nAnswer: 34567","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -49 + 58. Suppose 8*w = -h*w + 34. Solve 5*d + 33*d**3 - 3*d**3 - 20*d**4 + 8*d**5 - 3*d**5 - 20*d**w = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o**4 - 48*o**3 + 44*o**2 = 0.\nAnswer: 0, 1, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -1543*g - 303972. Determine u(-197).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 12202, 12193, 12162, 12097, 11986, 11817, 11578, 11257?\nAnswer: 10842","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 8200*d - 8200*d - 291*d**2 as t*d**2 + u*d + x and give t.\nAnswer: -291","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -3\/5 (b) 0.1 (c) 0.3 (d) 3 (e) -5 (f) -2\/159 (g) -38\/31\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 101\/300 and -29\/5044665.\nAnswer: 100893300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 6 = 4. Suppose -x + v*i = -119, 2*x = -3*x - 2*i + 547. Suppose 28 = 3*m - 2*m. What is the remainder when x is divided by m?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in -1\/3, 2\/5, 5\/7?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -14 + 24. What is the greatest common divisor of g and 160?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -42a (base 12) in base 9?\nAnswer: -747","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h when two letters picked without replacement from nhqnqmqmqqhhqqqhqnhm?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 17977 + -12386155\/689. Let h = q + -4120\/4823. Let t = 0 - 0. Which is smaller: h or t?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 2, 0.120743, -0.2, 0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 267030?\nAnswer: 2, 3, 5, 23, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 11782 - 11693. Is g at most as big as 14?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -96 + 99. Suppose q*i + 262 = 4*i. List the prime factors of i.\nAnswer: 2, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1407530 and 470?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iii when three letters picked without replacement from {i: 3, g: 12}?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) be the second derivative of 0 + 3\/4*s**2 + 3\/8*s**3 + 1\/16*s**4 - 2*s. Factor b(i).\nAnswer: 3*(i + 1)*(i + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) be the third derivative of 2*i**8\/21 + 11*i**7\/105 - 217*i**5\/60 - 5*i**3\/6 - 378*i**2 - i + 2. Find the third derivative of l(s) wrt s.\nAnswer: 1920*s**2 + 528*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1295?\nAnswer: 5, 7, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 160 - 104 = 4*d. Let r = -18 + d. Sort -2, 5, r, -3 in descending order.\nAnswer: 5, -2, -3, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.1813 + -4.8187. What is the closest to -0.2 in b, -3, 38?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -17965 + 17987. Solve -x*i + 12 = -18*i, -w = -4*i + 12 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*x**4 - 15*x**3 - 10*x**2 + 60*x - 40.\nAnswer: 5*(x - 2)**2*(x - 1)*(x + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3527, 7076, 10657, 14270, 17915, 21592?\nAnswer: 25301","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 10*z**2 + 293*z**2 - 14*z**2 + (2*z + 2*z - 5*z)*(-3*z + 3 - 3) + z**2 + 2*z**2 - 2*z**2 in the form m + v*z**2 + n*z and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1\/2 (b) 111 (c) -188 (d) -5 (e) -0.5 (f) -0.9 (g) 0.3\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1 + -62. Let c be 6\/21 + (-927)\/x. Let y be (2 + 0)*2\/4. Are c and y nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -5*d**3 - 3*d - 4. Calculate i(3).\nAnswer: -148","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 311*t - 50973 + 9187 = -918*t for t.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) be the third derivative of 0*q**4 - 21*q**2 + 0 + 0*q - 8\/3*q**3 + 1\/6*q**6 + 0*q**5. Differentiate u(p) wrt p.\nAnswer: 60*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 264373060 to the nearest 100000.\nAnswer: 264400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.003 and 10815.478.\nAnswer: 10815.481","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 19 - 14. Suppose z + 18 = 2*o + 5*z, -j*z + 35 = 5*o. Suppose -o*s - 33 = -6*s. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -41*t + 23*t = -148*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w - 9 = -2*w, 0 = r + 2*w + 10. Calculate the remainder when 262*25\/40 - (-3)\/r is divided by 50.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2749446528 a multiple of 2432?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = -21 + 6. Let y(p) = n*p - p - 2*p. Let i(z) = -156*z**2 + 96*z**2 + 61*z**2. What is y(i(v))?\nAnswer: 12*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 5837 and 1347.\nAnswer: 449","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-268*b**2 + 81*b**2 - 172*b**2 + (5 - 2 - 1)*(-3*b**2 + 0*b**2 + 4*b**2))*(b + 2*b - 5*b).\nAnswer: 714*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -27 - -72. Suppose -31 = 2*w - v. Calculate the highest common factor of 7 and w.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = s**2. Let p(l) = -1993*l - 467*l - 1120*l + 979*l - 989*l. Give k(p(c)).\nAnswer: 12888100*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*y + 144 = -2*y. Let v = -62 + y. Calculate the common denominator of v and (-12)\/(-32) - 0 - -2.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/3 in -29\/47, 12\/5, -6?\nAnswer: -29\/47","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 758988251?\nAnswer: 7, 108426893","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1984, 4, -0.23?\nAnswer: 1984","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 5 - 2)*(-2*f + 6*f - f)*(-4 + 6 - 1)*(3*f - 4*f - f)*(1 - 1 - 2*f**2).\nAnswer: -36*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 8) to base 3\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - (-1)\/(-2))*(504 - 482).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -c**2 - 6*c - 2. Let q(o) = o + 1. Let p be q(-5). Let l = -7 - p. Calculate the lowest common multiple of 7 and d(l).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 9415, 19764, 30113, 40462?\n\"Answer: 10349*p - 934","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -2, -85671, -32 in descending order.\nAnswer: -2, -5, -32, -85671","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-14 + 12 + 2*k + 7)*(4*k - k + 0*k)*(125*k - 64*k - 95*k) + (-k**2 - k**2 + k**2)*(2*k + 4*k - 4*k) + 0*k**3 + 3*k**3 - 2*k**3.\nAnswer: -205*k**3 - 510*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 30.52 - 12.63. Let l = k - 18. Let d = l - -0.144. What is d rounded to two decimal places?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 131 greater than -3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 19877, 79871, 179863, 319853, 499841, 719827, 979811?\nAnswer: 1279793","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17232 + 5*d**2 - 17232.\nAnswer: 5*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**6\/f)\/f**(-2\/11))**(2\/73) assuming f is positive.\nAnswer: f**(114\/803)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m - 5*j = 20 + 14, j - 22 = 4*m. Let y = m + 6. Suppose -3*b - 5*x + 73 + 41 = 0, -b + 4*x + 38 = y. Does 14 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -298 - -294. What is the fourth smallest value in 0.1, y, -42, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1031223 + -323?\nAnswer: 1030300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 8.11 * -10\nAnswer: -81.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 305891 = 12*n, 3*n + 5*y - 33790 - 42664 = 0. Is n a multiple of 69?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = l**3 - 6*l**2 + l. Let x be j(7). Suppose -5 - 15 = -3*u + 4*d, 0 = -2*u - 3*d + 19. What is the greatest common factor of x and u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -338*t**6 - 4*t**5 + 31151*t**2.\nAnswer: -40560*t**3 - 240*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a - 32 = 3*x, 10*a - 6*a + 3*x = 8 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 31\/54 and 5\/9.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 448 is divided by 443.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 3*a**2 - 4. Let p be (-7)\/((-105)\/50)*3. Suppose -43*n - p = -48*n. Let g(z) = 0*z**2 - 4*z**2 + 5*z**n. Calculate h(g(w)).\nAnswer: 3*w**4 - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -84 + 93. Let k(o) = -o + 53. List the prime factors of k(y).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -129 + 67 + 62 - 3*g**2.\nAnswer: -3*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide 802471992 by -3192.\nAnswer: -251401","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 42277 and 22177?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 11 in 10, -1, 0.3?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 76764?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 56 and 9436?\nAnswer: 18872","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 3735223 to the power of 1\/2, to the nearest integer?\nAnswer: 1933","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**3*k**(-4\/5)\/k*k\/(k\/(k**(-3\/8)\/k))*k**(-3\/4)\/k*(k*k**2*k)**(35\/3)\/(k*k**0*k*k)**37 assuming k is positive.\nAnswer: k**(-7951\/120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -32, -89, -164, -257, -368, -497, -644?\n\"Answer: -9*m**2 - 30*m + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = i**2 + 7*i + 7. Let h(b) = -b**2 - 6*b - 8. Let z(q) = -2*h(q) - 3*u(q). What is the units digit of z(-6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*v**2 + 40*v - 75.\nAnswer: -5*(v - 5)*(v - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00034046484 rounded to 6 dps?\nAnswer: -0.00034","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 g when three letters picked without replacement from {g: 1, j: 3, l: 1, u: 2, h: 6}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -39*x**2 + 70*x. Let z(v) = 21*v**2 - 35*v. Calculate -6*y(m) - 11*z(m).\nAnswer: 3*m**2 - 35*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -41*r. Let s be z(1). Let v = 13 - s. What is the tens digit of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8077 is divided by 43?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*t + 3*c + 73, -c + 11 = t + 2*c. Suppose -96 = 18*n - t*n. Let b be 2\/5 - n\/(-60). What is the fourth smallest value in b, -2\/13, -3\/7, 2\/19?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -513, -2116, -4769, -8466, -13201?\nAnswer: -18968","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 0 + 1 - s + 2*s. Let i(w) be the second derivative of -5*w**3\/3 - 3*w**2 + 70978*w. Calculate -8*b(t) - i(t).\nAnswer: 2*t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1 (b) -9 (c) 5 (d) -43 (e) 3 (f) 4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 75210800667.999998765 + -75210801022. Let d = 354 + i. What is d rounded to 7 dps?\nAnswer: -0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 154164 and 113187?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 20 = 0, 5*h = 3*u - 0*u + 43. Calculate the remainder when 30 is divided by h.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 6698 and 714?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 182296 to the power of 1\/7, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -454400 to the nearest 100000.\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 12920.7 and -0.1.\nAnswer: -1292.07","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.001631789 rounded to 4 decimal places?\nAnswer: 0.0016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 1 - 1)*(2*q + 8*q - 4*q)*(-3 - 2*q + 2 + 0*q)*(2 - 1 - 4)*(3 + 2 - 3) in the form c + d*q + h*q**2 and give d.\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l + 981*d - 982*d - 206 = 0, 0 = -l + d + 66. Let m(b) = -b**3 + 72*b**2 - 139*b - 64. Give m(l).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3012*k - 35813*k + 692040 = 3729050 + 1391125 for k.\nAnswer: -135","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1102 - 1?\nAnswer: -1110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k - 14 = 5*g, 0 = k + 5*g + 12 + 5 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2\/(-4)*(-3 - 1). Let m be t + (-45)\/(-25) + -3. Suppose n + 4*l - 3 = -20, -5*l = -n - 8. What is the closest to n in m, -2, 0.5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 27644 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -8*v - 72. What is l(-10)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 - 0 - -1 - 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 263 divide 39203?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1679266 - 259441 = 75*y. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 28517588, 28517591, 28517594?\nAnswer: 28517597","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*j + y + 6, 0 = 3*j - 228*y + 233*y - 22 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 38349113 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -401163*g + 3*g**2 + 203411*g + 200383*g.\nAnswer: 3*g**2 + 2631*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + -1 + (3*(sqrt(156) - sqrt(156)*-2 - sqrt(156)) + sqrt(156))\/(-4*sqrt(192)).\nAnswer: -7*sqrt(13)\/16 + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t = 3*t. Suppose 10 - 7 = -r. Put 5, r, t in increasing order.\nAnswer: r, t, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4796?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 50221*m**2 + 274*m + 53?\nAnswer: 100442","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7165?\nAnswer: 5, 1433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -142130*c**5*u**3 - 67*c**2 - 653*u**3 wrt c.\nAnswer: -8527800*c**2*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 2*r - 84. Suppose -o + 233 = -r. What are the prime factors of o?\nAnswer: 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 7 = 2*a - 5, -4*u - 17 = 3*a. Let o be (2 - 10)*6\/(-3 - 3). Suppose -o - a = -m. What are the prime factors of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1\/2 (b) 0.1 (c) 8.6 (d) 26\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1406*k - 4*w = 1408*k - 28, -2*k = -3*w + 42. Let o(p) = 2*p + 0*p - 4*p - 6. What is o(k)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 1413*i + 1568*i - 307*i + 464*i - 531*i as w + x*i and give x.\nAnswer: 2607","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-b + 3*b + 4*b)*(-3 - 4 - 3 + 6 - 5 - 3 + 2 + 0 - 1 + 0 + 2 + 0 + (4 + 0 - 5)*(3 + 0 - 2) + 2 + 3 - 3)*(0 + 8*b - 13*b + 1).\nAnswer: 240*b**2 - 48*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 968 - 4276 = -19*q + 1043. Calculate the remainder when 692 is divided by q.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -s - 82. Let v be w(38). Which is the nearest to v? (a) -4\/5 (b) 0.5 (c) 3 (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 7905344 and 1658?\nAnswer: 7905344","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1240 + 108*i**3 - 108*i**3 + 963*i**5 + 1277*i**5 - 1237 + 331*i wrt i?\nAnswer: 44800*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 83607659731 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -29242 + 62700. List the prime factors of f.\nAnswer: 2, 16729","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + 4 - (104 + -109 + 5 + 1 + 1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) be the second derivative of 1\/4*w**4 + w**2 + 2*w + 0 - 1\/2*w**3. Let f be y(4). What is the highest common divisor of f and 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 111000010111100001 (base 2) to base 12.\nAnswer: b1741","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = s, 0 = 2*a - 3*s - 0*s - 21. Calculate the remainder when 2\/1 + 16 + -1 is divided by a.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 317 minutes before 10:57 PM?\nAnswer: 5:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 35, 87, 129, 155, 159, 135, 77?\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 2*j - 30. Let q be b(16). Suppose -59 = -q*m - 7*y + 4*y, -2*m - 4*y = -64. Find p such that -5*p**2 - 10*p + 4*p**2 - p**2 - 10*p + m = 0.\nAnswer: -11, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*a = -3*a + 180. Sort a, -15, 1.\nAnswer: -15, 1, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -109998 + 39889 = -13*f. Let o = -32491\/6 + f. What is the common denominator of 38\/33 and o?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a litre in millilitres?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1139 and 22528013?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*i**5 - 5*i**3 + 5*i**3 - i**2 + i**2 - 2*i**5 + (2*i**4 + 3*i**4 - 3*i**4)*(-i + i + 2*i) + 185*i**5 + 61*i**5 - 11*i**5.\nAnswer: 240*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*s**2 - s**2 - 6*s**2)*(s**3 - s**3 - 3*s**3) + 11 + 59*s**5 - s**3 + 15 - 25 + 4*s**3 + 2*s**5 - 4*s**3.\nAnswer: 64*s**5 - s**3 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5? (a) 6 (b) -2 (c) -3 (d) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 1, g: 3, a: 5, e: 1, z: 1}. What is prob of picking 1 a and 3 g?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -123\/4820354 and -149\/198?\nAnswer: 43383186","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 407729?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 12) to base 2.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = u**2 - 6*u - 5. Let n be j(6). Let m(b) = 2*b**3 + 4*b**2 - 2*b + 1. Let c(f) = -3*f**3 - 5*f**2 + 2*f - 1. What is n*m(k) - 4*c(k)?\nAnswer: 2*k**3 + 2*k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bbb when three letters picked without replacement from {b: 6, t: 8}.\nAnswer: 5\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000277 rounded to 6 dps?\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: ((437\/92)\/((-3325)\/(-140)))\/((-1)\/(-225))\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1bb5 + 16?\nAnswer: -1b9b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*g + 28*g + g)*(-4 + 0 + 2)*(-1 - 5 + 5) in the form b + f*g and give f.\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -3*h**2. Let f(u) = -580*u**2 - 44420. Calculate f(l(p)).\nAnswer: -5220*p**4 - 44420","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -19, 60651, 8.\nAnswer: -19, -2, 8, 60651","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3296348 by -3296348.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -1820.9 rounded to the nearest one hundred?\nAnswer: -1800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.2 + -0.3. Suppose 2*h - 3*h = 0, 2*k = -5*h. Let j = 2 + k. Sort g, -3, j in increasing order.\nAnswer: -3, g, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 347063.\nAnswer: 347063","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13520 divided by -20.\nAnswer: 676","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3 + 1. Suppose 0 = -3*q - 3*j, 0*j = -d*q - 2*j. Which is bigger: q or 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00022035588 rounded to 6 decimal places?\nAnswer: 0.00022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5)\/2*700\/250.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 13*x**3 - 5*x**2 - 8*x - 2086 wrt x?\nAnswer: 39*x**2 - 10*x - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 83457?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*w - 12 - 83 = 125. Let d(c) = 3*c**3 - 3*c**2 + 2*c - 2. Let y be d(2). Calculate the remainder when 388\/y + (-2)\/(-7) is divided by w.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 217924 and 2534.\nAnswer: 217924","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3670 or 3826?\nAnswer: 3670","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -4506*t - 1610.\nAnswer: -4506","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 1.3 and 4.41?\nAnswer: 3.11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d = 2*k - 0 - 12, 9 = 3*d + k. Let w be d - 9\/(9\/(-3)). Solve -w*f = 2*o - 18, 2*f - 18 = 3*f - 5*o for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1543 - 60?\nAnswer: 1453","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + -3 + 1*((1*sqrt(2448) - sqrt(2448)) + -3 + 1 + sqrt(2448) + 0) + 5 + 0)**2.\nAnswer: -24*sqrt(17) + 2449","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 0 - 5*k - 3*k**2 + k**3 + 0. Let v = 14 + -10. Let c be a(v). Is -3 > c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 364747 a multiple of 121?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -a**2 + 23*a + 144. What are the prime factors of h(21)?\nAnswer: 2, 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve o + 266*k - 289*k = -91, -32*k = -5*o - 37*k + 145 for o.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 74123089.\nAnswer: 23, 47, 191, 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -22 - -17. Suppose 6 = l - j, -2*l - 8 = 2*j - 4. Put l, t, 0 in ascending order.\nAnswer: t, 0, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 110, -1, 5?\nAnswer: 110","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 287 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 291404 and 100828?\nAnswer: 1108","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ttta. Give prob of picking 3 t.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q = -q - 2 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 5*j**2 - 11*j + 19. Is t(4) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - 3*x = 0. Let d = x + 0. Solve -4*u + d*u = -20 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 2721.4846 from -14.0046.\nAnswer: -2735.4892","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*z**2 + z**3 - 68 - 15*z + 47 + 17*z + 6*z**4 + 0*z**2 to the form s*z**2 + m + p*z**3 + j*z**4 + k*z and give s.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -876, -895, -904, -897, -868, -811, -720, -589?\n\"Answer: d**3 - d**2 - 23*d - 853","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*q - 2*f + 13, 2*q - 10 = 5*f - 14. What is the smallest value in 7, q, 0.03?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = d**2 - 7*d + 9. Let j be n(4). Is (1 + j\/2)\/((-1)\/11974) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-120)\/(-21) + (-2)\/(-7). Suppose 2 = 4*b - n. Is 2*(5 - b)*3 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 949 is divided by 26.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q + 7*z - 11702 = 9*z, -z - 5 = 0. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**39\/a**15)**(-7\/5) assuming a is positive.\nAnswer: a**(-168\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -7.8 - -3.75. Let h = 0.05 + v. Let u = h + 5. Put 0.5, u, 2 in ascending order.\nAnswer: 0.5, u, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -t**3 - 6*t**2 + 7*t + 6. Let i be q(-7). Suppose -2*z + i*z - 32 = 0. Calculate the greatest common factor of 32 and z.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.5*0.05425.\nAnswer: 0.027125","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.030506 to 4 dps.\nAnswer: -0.0305","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (0 + 1)*(2 - 9). Let b be (70\/4)\/((21\/(-6))\/s). Let p(y) = -32*y + y + 17*y - b*y. Let u(m) = -m**2. Determine p(u(v)).\nAnswer: 49*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - u - 53 = -k, u - 2*k - 2 = 0. What is the remainder when -44*2\/(-2) - -3 is divided by u?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) be the second derivative of -h**6\/10 - 7*h**5\/5 + 185*h**3\/6 + h**2\/2 - 31*h + 3. What is the second derivative of x(v) wrt v?\nAnswer: -36*v**2 - 168*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1166 (base 12) in base 8?\nAnswer: -3636","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 323 is divided by 159.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 10 + -22. Let z = -819405 + 819404.8. Which is the closest to i? (a) -2\/11 (b) 3 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -10 + 26. Let o = m + -14. Let z = 4.92 + 0.08. What is the second smallest value in 2\/9, o, z?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n + 759 = 754 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 943183 to the nearest integer?\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7 + 68*z - 7 + (-24*z + 12*z - 3*z)*(4 - 1 - 2) to a*z + o and give a.\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 12906 and 1998.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (74 + 30 - 31)*(10*q**2 + 2*q**2 - 8*q**2 + q**2 + 6*q**2) to the form k*q + c + m*q**2 and give m.\nAnswer: 803","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*b = -3*b - 6*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1000110110111 + 10?\nAnswer: -1000110110101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 161631 divided by 57\nAnswer: 53877\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 70 + 930505075?\nAnswer: 930505145","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*sqrt(1053)*5 - (sqrt(78) - (sqrt(78) - 5*(sqrt(78) + sqrt(78) + sqrt(78) + sqrt(78)*2)))\/sqrt(6).\nAnswer: 20*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3178910 is divided by 662?\nAnswer: 648","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3784 + -3784.19. Suppose 2*u - 8 = 6*u. Which is the second biggest value? (a) 0.1 (b) u (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 6565901?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1300) - (sqrt(1300) - (sqrt(1300)*-2 + sqrt(1300)))*-3)**2 + 1 + 2 + ((sqrt(1300) + 3 - sqrt(1300)) + 1)**2.\nAnswer: 63719","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2195457557 rounded to the nearest one hundred thousand?\nAnswer: 2195500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 2*m - 2)*(8 - 4 + 0 - 4*m).\nAnswer: -8*m**2 + 8*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 144715403?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -i*w**2 - 3*i*w + 81268*i - 763*w**2 + 1115*w - 66 with respect to w.\nAnswer: -2*i*w - 3*i - 1526*w + 1115","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 89035534?\nAnswer: 2, 7, 31, 205151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/(i*i**(-10\/13)))\/i**(-29) assuming i is positive.\nAnswer: i**(387\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = v**3 - 6*v**2 + 6*v - 3. Let h be 1 + (-8)\/12*3. Let l = h + -23. Let i = l + 29. What is t(i)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 48420848 to the power of 1\/5, to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 2*s + 1. Let a = 129 - 66. Let d(q) = 2*q + 65 + q - a. Suppose m = -5*i - 22, 3*i + 10 = -2*i + 5*m. Determine i*p(r) + 3*d(r).\nAnswer: r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 300 divided by -75?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -8.6 - -8. Let z = 4.4 - o. What is the second biggest value in z, -3, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o*o**(6\/7)*(o*o**1)\/o)\/(o**(2\/5))**(-49) assuming o is positive.\nAnswer: o**(821\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1043609 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -5*y. Let b = -1 + 1. Suppose -4*p + b = -16. Suppose -p*l - 7 = -11. What is k(l)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find k, given that 2*k**5\/3 + 1400*k**4\/3 + 273106*k**3\/3 + 19166884*k**2\/3 + 121517448*k - 269326512 = 0.\nAnswer: -434, -117, -34, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -1\/2, 6, 0.5, -0.3?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 1499, 1509, 1519?\n\"Answer: 10*x + 1489","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a litre in millilitres?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -277 + 282. Factor 2\/5*r**w - 4\/5*r**2 + 0 + 0*r**4 - 6\/5*r**3 + 0*r.\nAnswer: 2*r**2*(r - 2)*(r + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24674335115 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (1 - -4)\/(2*3\/6). What is the second derivative of -y*l - 20*l - 7*l**3 - 5 + 18*l + l**2 wrt l?\nAnswer: -42*l + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 3147, -2, -36?\nAnswer: 3147","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (154\/55)\/(32\/(-20))?\nAnswer: -7\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 6377911 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 23304, 45747, 68190?\nAnswer: 90633","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 186796 a multiple of 82?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -1990.836206 rounded to the nearest 100?\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) be the third derivative of g**6\/120 - g**5\/15 + g**4\/12 - g**3\/2 + 8*g**2. Let p be b(4). Suppose -i + 24 = -p. What are the prime factors of i?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1.18 + 1.2. Let s = q + -0.42. Which is the nearest to 0? (a) 2\/15 (b) -5 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 2*b**3 + 505*b**2 + 197*b - 13853. Give k(-252).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 43 - 43. Suppose 8*c - 14*c = v. Solve 2*u - u = c for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-6)\/18)\/(-2*3\/15804). List the prime factors of (q\/4 - -1)*(29 - 27).\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 28 and 602?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -558 divided by -186\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence adaa when four letters picked without replacement from oodddoodoaadadda.\nAnswer: 1\/260","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -1490857\/3 less than -496953?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nue when three letters picked without replacement from {q: 5, u: 1, n: 1, e: 7}?\nAnswer: 1\/312","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1873679?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 547\/(-9) - -22 - 26\/117.\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -132, 0.0346, 3, 3\/2, -1\/3, -12?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -4\/3, -6862\/3, -0.3, 3, 0, -1\/34?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -173, -239, -3 in increasing order.\nAnswer: -239, -173, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence is when two letters picked without replacement from {m: 6, z: 2, y: 2, s: 5, k: 1, i: 1}.\nAnswer: 5\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -55493, -110994, -166499, -222008, -277521, -333038, -388559?\n\"Answer: -2*i**2 - 55495*i + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y + u - 6*u = 20, -3*y + 5*u = -10. Let q = 225 - 1. Let d = 334 - q. What is the greatest common divisor of d and y?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -15, -0.16, -11, 0.4, -2\/9?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 2 w when three letters picked without replacement from {r: 7, w: 4}?\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 5*w - 1. Let z = -9 + 16. Suppose -4*g - z = -g - 4*i, -5*g = -5*i + 10. Give c(g).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -a + 967 - 1953 + 3*a**4 - 6*a**3 + 984 as f*a**2 + x*a**4 + i*a**3 + g*a + z and give x.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lt when two letters picked without replacement from {h: 3, t: 4, l: 7}.\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sv when two letters picked without replacement from {s: 2, m: 10, v: 6}?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 40*87\/(-2900)*80\/(-6)?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1746.000030808 - -1746. What is n rounded to 7 decimal places?\nAnswer: -0.0000308","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -130 - -144. Calculate the remainder when 66 is divided by b.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p - 2*y + 14 = 3*y, 4*p + 3*y - 20 = 0 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -171.9 - -4?\nAnswer: -167.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -17*t**3 - 4*t**2 - 7*t - 3. Calculate the remainder when u(-4) is divided by 48.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by 55185430.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1185337 is divided by 407?\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1279539 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: What is the fourth biggest value in -0.2, 60, -5, 1\/4, -1.6?\nAnswer: -1.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -63\/20 and -61\/456.\nAnswer: 2280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -10681, -42744, -96177, -170974, -267129?\nAnswer: -384636","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10, 3534, 3, -3.\nAnswer: -3, 3, 10, 3534","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9.4117251 + -55.\nAnswer: -45.5882749","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 20022201220100220 - 12?\nAnswer: 20022201220100201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (m + 3*m - 2*m)*(1 - 1 - 1)*(9 + 38 - 8) as p + d*m and give d.\nAnswer: -78","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 10938341?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -53 - -52.12. Let g = w - 0.02. Let s = -0.900013 - g. Round s to 5 decimal places.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = c**3 + 7*c**2 - 27*c - 158. Let l be k(-6). Suppose -l*y = -42*y + 2232. Does 12 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 159632549 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3508567 - -0.047117848.\nAnswer: -3508566.952882152","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u + 0 + 1 = i, 3*i - 11 = u. Solve 3*m = -5*l - 25, i*l + 0*m + 20 = -2*m for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -2*(-4)\/((-16)\/6). Let y = i - -9. Let a(q) = -q + y + 3*q - 1. Let k(w) = 6*w + 16. Give -10*a(s) + 3*k(s).\nAnswer: -2*s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 260 minutes after 6:56 PM?\nAnswer: 11:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -7\/309 and -65\/21.\nAnswer: 2163","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.96225558 and -0.03.\nAnswer: -0.99225558","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 840 a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) be the first derivative of 23*m**4\/4 - m**3 + 9*m**2 + 212. Find the second derivative of h(s) wrt s.\nAnswer: 138*s - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 13.79 - 14. Let r = -0.21007 - k. Round r to 5 decimal places.\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -6 in 0.3, 13, -21?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -14 + 22 + 0 + 1?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h - 3*u + 0 = -60, -4*u + 16 = 0. Solve -h*f - 36 = -24*f for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 18 + -11. Let c(f) = -f**2 + 10*f - 3. Let g be c(t). Suppose -12 = -3*a + g. Is 7 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = u**2 - 68*u - 17888. Give o(-100).\nAnswer: -1088","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 62 = 3*k - 28. Let c(w) = -w**3 + 6*w**2 + 3*w + 7. Let j be c(6). Let a = k + j. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -53143801*b**5*k - 2*b**3*k + 6*b*k + 2*b - 4*k + 231813 wrt b.\nAnswer: -1062876020*b**3*k - 12*b*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-46)\/(-6) - 8\/12. Suppose 0*l + r = -l. Let p = l - -10. Solve -4*k = -4*f - 20, -5*k = f - p*k - 4 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is z in -852*z + 238 + 613 - 1103 - 40*z**2 = 0?\nAnswer: -21, -3\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve -3878 = 299*w - 11477 + 4310 for w.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -233, -115, 41, 253, 539, 917?\nAnswer: 1405","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 41*g**3*l**2*n + g**3*l*n - 4002*g**2*l*n**3 - 108710*g*l**2*n**3 + 2*l - 15*n + 1 wrt l?\nAnswer: 82*g**3*n - 217420*g*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -15 + 24 + 3 + -15.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 19 - 19.1. What is the third smallest value in 5, 0, o?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 494 and 38.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 12*i**3 + 8*i**2 - 50*i + 364. Let o be q(7). What is the greatest common factor of o and 238?\nAnswer: 238","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 3743*m + 546410. What is z(-146)?\nAnswer: -68","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.2, -18, -336, -1.334?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -u**2 + 1. Suppose 4*h - 6 = -5*v + 3*v, 5*v + 3*h = 36. Suppose a - v = -3. Let i(q) = 2*q**3 + 7*q**2 - 2*q - 6. Calculate a*z(o) + i(o).\nAnswer: 2*o**3 + o**2 - 2*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1007*p**4 + 5*p**3 - 10*p + 3.\nAnswer: -12084*p**2 + 30*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -120005414 (base 7) in base 14?\nAnswer: -dadb7b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -67\/117 and -16\/963.\nAnswer: 12519","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2 by -11.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 12767 to the power of 1\/6, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 702793 is divided by 476.\nAnswer: 217","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 236 minutes after 6:28 AM?\nAnswer: 10:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -152 divided by -9.\nAnswer: 152\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9225045*n + n**2 - 9225045*n.\nAnswer: n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.07 in 589.3, 0.2, -13, -3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = -4*w + 10. Let k be 2\/3 - 22\/w. Let n = 0.27 + -0.57. What is the biggest value in n, 1, k?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i - t = 0, -2*i - 15 = 3*i + 4*t - 20 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10211 - -10000200112002?\nAnswer: 10000200101021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 25 and 1?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -100*b + 92*b - 48 = 0 for b.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1139193, 1139943, 1140679, 1141395, 1142085, 1142743, 1143363, 1143939?\nAnswer: 1144465","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (-35)\/(-21)*((-27)\/(-20))\/(-3)*24\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 160 and 85?\nAnswer: 2720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 114 and 1254?\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (272\/(-120))\/(254\/(-1905))\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine n so that 2*n**5 + 234*n**4 + 7588*n**3 + 42116*n**2 - 7590*n - 42350 = 0.\nAnswer: -55, -7, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -4 (b) -3 (c) 2\/17 (d) -1 (e) -16\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -695, -702, -719, -752, -807, -890?\nAnswer: -1007","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1987, -2043, -2097, -2149, -2199, -2247?\nAnswer: -2293","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 15893268 a multiple of 219?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 802470.\nAnswer: 2, 3, 5, 23, 1163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 184786 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1242 = 2*x + 21*f - 19*f, -4*x = 5*f - 2479. List the prime factors of x.\nAnswer: 2, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-157)\/(-5) + (-14)\/35. What is the derivative of j*q - 79*q - 10 + 12*q wrt q?\nAnswer: -36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 809 - 2620\/3. Let q = -65 - o. What is the closest to q in 0.24, 2\/5, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -203136*n**2*p**3 + 236*n**2 + 24047*n*p**3 + 2*n*p - 203*n wrt n?\nAnswer: -406272*p**3 + 472","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 69423 + -20?\nAnswer: 69403","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 0 + 2)*(3*z - 2*z - 2*z) - 3 + 3 + 2*z + (3*z + 0*z - 2*z)*(3 - 3 - 2) - 22*z + 14*z - 18*z + (4 - 4 + 2)*(-2*z - 2*z + 2*z).\nAnswer: -29*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -889, -1775, -2661, -3547, -4433?\nAnswer: -5319","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1*2 - (-21)\/(3 + -10). Let i be (-17 - -20) + 2*q\/(-2). Suppose -2798 = -i*z + 2*z. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 69281 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1377) - (3 + -2 + sqrt(1377))) + -5)**2.\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 29 - (24 + (-47 - (36 - 5)))?\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7 + 2*p**2 + 5 - 5)*(p - 10*p + 17*p).\nAnswer: 16*p**3 - 56*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 112606 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34*q = 25 - 263 for q.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -116190 = 21*z - 51*z. What is the thousands digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3568 - 353*y + 5*y**2 + 3665 - 37*y + 372.\nAnswer: 5*(y - 39)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 27\/18*8\/3. Solve 17 = -5*y - v, y - z*v = 4*y for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((70\/(-8))\/(-7))\/((-2)\/(-40)). Suppose 14*f - 19*f = -w. Suppose -5*u + 110 = -f*q, -4*u + 70 = -0*u + 5*q. What is the tens digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.5, 0.16, -14, -3 in decreasing order.\nAnswer: 0.16, -0.5, -3, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2556, -16\/5, 0, 3?\nAnswer: -16\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) be the first derivative of 4*u**3\/3 + 1. Let k(a) = a**3 - 7*a**2 - a + 9. Let r be k(7). Let j(i) = -2*i**r + 3*i**2 + 3*i**2. Determine g(j(s)).\nAnswer: 64*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -h + 2*s + 6188066, 4*h = -5*s + 6*s + 24752250. Let i = 3588062 - h. Round i to the nearest 1000000.\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 130481141 is divided by 65240567.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*h**3*x**5 - 82*h**3*x**2 + 2458*h**3 - 756456*x**5 wrt x.\nAnswer: -180*h**3*x**2 - 45387360*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 31891 - 31835 + 0*v**3 - v**2 - v**2 - 2*v**3.\nAnswer: -2*v**3 - 2*v**2 + 56","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(-13) + 4\/(-26)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11587 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 361 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -n**2 - 9*n - 4. Let u(x) = x. Let d be (-5)\/(-3*3\/(-9)). Let i(c) = d*u(c) - r(c). Determine i(-3).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20804687 is divided by 167.\nAnswer: 161","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-95 - -12 - 2) + -57.\nAnswer: -142","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 11763695 to the nearest integer?\nAnswer: 3430","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gg when two letters picked without replacement from {w: 1, z: 1, g: 2, r: 2}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -6? (a) -1\/3 (b) -0.1 (c) -3 (d) -3\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2177 is divided by 128?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express 33 - 33 - 3*y**2 - y + y**2 - 2*y**3 in the form x*y**2 + w*y + s*y**3 + j and give w.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*h = -5879 + 549. What is the remainder when h is divided by 90?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1199 divided by 109?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -l**2 + 5*l + 3. Let u be p(5). Let c(x) = -x**3 + 3*x**2 + x + 1. Let q be c(u). Let n(a) = -a**2 + 3*a + 4. Let t be n(q). Solve t*j - 4 = j for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*d**3 - 555*d**2 + 540*d + 1100.\nAnswer: 5*(d - 110)*(d - 2)*(d + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -9*p**3 + p**3 - 121*p - 11*p**2 + 25 + 7*p**3 + 124*p + p**2. Give u(-10).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -22, -45, -70, -97?\nAnswer: -126","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -76, 2 in decreasing order.\nAnswer: 3, 2, -76","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jbp when three letters picked without replacement from pjudbdjujd.\nAnswer: 1\/240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-1)\/2)\/((-6)\/312). Suppose 2*s = 2*y + h, -y - 4*s = y - 4. Let w = 23 + y. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30271302745 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2\/(-9)*3*3. Let z = -77 + 82. Sort h, z, 1.\nAnswer: h, 1, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 524 divide 235963946?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -101, -207, -317, -431, -549, -671?\nAnswer: -797","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.432363411424712 and 3.\nAnswer: 2.567636588575288","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -297271, -297779, -298287, -298795, -299303?\nAnswer: -299811","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -7 - -5. Let w(r) = -r - 2. Let x be w(h). Suppose 0 = -x*s + 3*s + 4*a - 42, 14 = s - 3*a. Calculate the remainder when s is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 10060 and 2060.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*y + 6*v + 76, 140256*y + 140257*y - v = 280514*y + 21 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(-4) + ((-156)\/56 - -2)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 22123 (base 4) to base 2\nAnswer: 1010011011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ao when two letters picked without replacement from ahoojzkh?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:13 AM and 5:17 AM?\nAnswer: 304","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 2043 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -w - 3*w - y - 1 + 13, 0 = 108*w + y - 428 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g + 5*o = 20, 0 = -g + 5*o + 3 - 23. Solve 0 = 3*x - 4*t - 16, g = -5*x - 0*x + 4*t + 24 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -39 and 855.8.\nAnswer: -33376.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 138*d**4 + 262*d**3*k**2 + d*k**2 - d*k - k**2 - 95*k - 295 wrt d?\nAnswer: 1656*d**2 + 1572*d*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 16705086?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -142a48 (base 13) in base 2?\nAnswer: -1111000000010100001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -36*v - 16. Let h be q(-1). Suppose 32*j**2 + 11*j + h*j**2 - 2*j - 3*j**3 + 7*j**3 + 79*j = 0. Calculate j.\nAnswer: -11, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 320 - -716. Suppose 0 = 4*p, 0 = 4*n - 2*p - 3*p - x. List the prime factors of n.\nAnswer: 7, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 789*c**2 + 5*c - 1. Let g be n(6). Let d = g - 1194269\/42. Find the common denominator of d and -59\/4.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10304998.\nAnswer: 2, 11, 383, 1223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -236\/31 + 3321\/310. Suppose -2*i = -3*x + 3*i + 170, -x - 3*i = -66. Find the common denominator of s and 346\/x + 2\/5.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -6\/43 - -55\/86. Which is the second biggest value? (a) 3\/4 (b) k (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 4 and 0.282.\nAnswer: 1.128","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) be the first derivative of -949*a**4\/4 - 58*a**2 + 3*a - 1021. What is the second derivative of z(u) wrt u?\nAnswer: -5694*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(-6)*h*h\/(h\/h**(-5\/8)))\/(h**0\/(h**5\/h)))**(-29) assuming h is positive.\nAnswer: h**(377\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5 + (-35)\/21)*-5*30\/(-125)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4254673 divided by 6.\nAnswer: 4254673\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 109\/4210 and -81\/3890882.\nAnswer: 19454410","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -527\/5 - -105. Which is greater: 0.0328 or r?\nAnswer: 0.0328","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tl when two letters picked without replacement from {r: 2, t: 4, l: 1, y: 8}.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-8)\/(-10))\/((-2)\/(-5)). Suppose 3*y + 12 = 78. Let h = d + y. What is the units digit of h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -144 - -153. Solve -2*c + 3*l = -u - 1, 4*c - l = 20 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 1 r when two letters picked without replacement from rjwfr.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 6 - 7. Which is the nearest to v? (a) -1\/10 (b) -4\/5 (c) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2246 to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -213*w - 497 = -220*w. What is the remainder when w is divided by 37?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-25)\/((-825)\/22)*9\/21?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 12*c*t**2 + 8*c*t + c - 8 wrt t.\nAnswer: 24*c*t + 8*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -110 (base 3) in base 2?\nAnswer: -1100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v when two letters picked without replacement from {e: 3, v: 12}?\nAnswer: 22\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 7*u - 50. Let t be d(8). Let j(f) = 3*f - 3. Let m be j(2). Let i(q) = m*q**2 - q**3 + 0*q**3 + 11 - t - 3*q + 2*q**3. Give i(-4).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 559 minutes after 7:34 AM?\nAnswer: 4:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-8)\/5 + (-4)\/10. Suppose 0 = 4*l - 2 - 10. Let f(c) = -2*c**2 - c + 0*c**l + 0*c**2 - c**3. What is f(u)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -b**3 - 56*b**2 - 60*b + 6 + 31*b**2 + 6*b**2. Calculate the smallest common multiple of 18 and c(-15).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 3*x**3 - 2*x - 3. Let p be (((-224)\/12)\/(-14))\/(4\/(-6)). Let l(i) = 4*i**3 - 3*i - 4. Calculate p*l(g) + 3*n(g).\nAnswer: g**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0 + -1. Let x = d - -5. Sort 1, x, -1 in descending order.\nAnswer: x, 1, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -y**3 + 5*y**2 + 7*y - 3. Let j be o(6). Let q be 1 + (-3)\/((-12)\/8). What is the units digit of (3 - q) + 12\/j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 2*m. Let b(c) = c**2 + 734. Calculate b(z(o)).\nAnswer: 4*o**2 + 734","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 5*h + 8. Let m be k(-4). Let z = 15 + m. Calculate the remainder when z is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30*n - 176 + 111 = 475 for n.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 9008 and 672.\nAnswer: 378336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 141*q. Let r(c) = -95*c**2 + 4914. Give j(r(d)).\nAnswer: -13395*d**2 + 692874","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2365*l - 674*l**2 + 4*l**3 + 4*l**3 - 2365*l + 674*l**2.\nAnswer: 8*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -2748*a + 125. Give r(2).\nAnswer: -5371","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9 = 22*q - 19*q for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2230 + -71 - (-1 - 1) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 5*q**2 - 31*q + 3. Determine d(6).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*f - 2*h - 5 = -7*h, -2*f - 1 = -3*h for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 892850 to the nearest 1000.\nAnswer: 893000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 73\/4 + 1\/(-4). Suppose -s = -4*s + 2*g - k, -28 = 4*s - 4*g. Which is the nearest to 0.1? (a) -0.4 (b) 0.3 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 3*o = -3, -2*g - o = 3*g + 17. Let i = 1 - g. Find the second derivative of 5*j - 7*j**i - 5*j + j wrt j.\nAnswer: -84*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4942?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -2*a**2. Let t(k) = 0 + 12 + 1163*k - 1129*k. Let v(z) = 120*z + 42. Let q(d) = -18*t(d) + 5*v(d). What is q(b(n))?\nAnswer: 24*n**2 - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -3*d**3 - d**2 - 3*d + 2. Let a be 2\/6 - 60\/(-36). Let c be n(a). Let o = c + 65. Is 12 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*l**2 + 141*l**4 - 140*l**4 + 3*l**3 + 2*l + 5 - 5 to a*l**3 + o*l**2 + i*l**4 + b + n*l and give n.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 103756?\nAnswer: 2, 25939","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -103 (b) 3\/5 (c) -0.5 (d) -0.04 (e) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2937485 to the power of 1\/9, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 103 minutes after 1:27 PM?\nAnswer: 3:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -186380, -372724, -559068, -745412, -931756?\n\"Answer: -186344*b - 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 15.367104 months?\nAnswer: 0.001280592","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) be the first derivative of r**4\/6 - r**3\/6 + r**2\/2 + 1. Let j(o) be the second derivative of f(o). What is the tens digit of j(3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4 in 223, -1, 0, -0.5, 1\/8?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -3817 divided by -11\nAnswer: 347","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -47192*d**2 + 7*d - 3574.\nAnswer: -94384","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 4*n**3 + 13*n**2 + 12*n + 10. Let k be r(-30). What is k rounded to the nearest ten thousand?\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 290 = -3*l. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -8 - -3. Let n(c) = 6*c - 2. Let x(l) = 8*l - 1 + 3 - 15*l. Let p(a) = r*x(a) - 6*n(a). Give p(2).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = j + 70, 0*i = -5*j - 2*i - 347. Put -1, -3, j in decreasing order.\nAnswer: -1, -3, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -y**3 + 1. Let b(d) = -16*d**3 - 5*d**2 - 12*d - 3. Let l(c) = -b(c) - 3*r(c). What is the second derivative of l(i) wrt i?\nAnswer: 114*i + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 + 155 = 3*x. Suppose -8 = 6*o + x. Let m be (4\/(-3))\/(2 - (-140)\/(-75)). Which is bigger: m or o?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 - 1 = 5*f, -z - 3*f + 138 = 0. Calculate the remainder when 255 is divided by z.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 737, 738, 739, 740?\nAnswer: 741","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (sqrt(19) + 5)**2 + (sqrt(19) - (sqrt(228) + sqrt(228)*6)\/sqrt(12)).\nAnswer: 4*sqrt(19) + 47","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -4*t + 11*t - 5*t + 16. List the prime factors of o(-7).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -14*x + 33. Determine b(5).\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-9*8\/60)\/((-3)\/10).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 137972 is divided by 137?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q**(13\/2)*q**(-2\/7)*q*(q**6)**(-4\/17))**(-41) assuming q is positive.\nAnswer: q**(-66379\/238)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -6.14 + 6. Let x = z - 4.86. Let m = 2 - 2. What is the third smallest value in m, -3, x?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 190*v**3*y**4 + v**3*y - 242*v**3 + 35*v**2*y**5 wrt y.\nAnswer: 2280*v**3*y**2 + 700*v**2*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -2598800000 rounded to the nearest one million?\nAnswer: -2599000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/25 of a meter in centimeters?\nAnswer: 32","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.7 + 6.41.\nAnswer: 5.71","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -416.98 (b) -0.7 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 4 + -1 - (-1 - -1163). Let o = g - -2702. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 13 - 8. Suppose 3*a + 8 = -2*r, 23 = -i*a + 3*r - 3. Let y be (-34)\/(-8) + 1\/a. Solve -y*t + 6 = -t for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 1 s when two letters picked without replacement from {y: 5, r: 4, w: 2, k: 1, l: 4, s: 4}?\nAnswer: 8\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 1774, 1775, 1776?\n\"Answer: v + 1773","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 3, -1\/4, -2, -15, -1014, -0.3, 1\/2?\nAnswer: -1014","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = 2*h + n - 4, 4*h + 3*n = 8. Solve h*i - 4 = 3*i for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -9 in -2\/19, 1, 0.03, 7?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 31.99582 hours?\nAnswer: 1919.7492","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5 - 12) + 25 + (-1 - -7).\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 4 - -23711935?\nAnswer: 23711939","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 19*x + 84. Let k(z) = -7*z - 32. Let d(h) = 8*k(h) + 3*n(h). Let u(m) = 3. Let p = 0 - -5. Give p*d(q) + 6*u(q).\nAnswer: 5*q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 559*v - v**2 + 3 - 559*v - 21.\nAnswer: -v**2 - 18","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -160, 2, -10, 1 in ascending order.\nAnswer: -160, -10, -4, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find o such that -o**2\/8 + 519597*o\/2 - 269981042409\/2 = 0.\nAnswer: 1039194","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1855 by -7.\nAnswer: -265","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 51\/(-15) - -10*(-24)\/400\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12\/(-18)*1382\/(-5528)?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1116?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z - 5*c = -4*z + 312, -z - 5*c = -272. Is z\/1 - (14 + -11) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -946\/3? (a) 5 (b) 2 (c) 41\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 118449 to the nearest integer?\nAnswer: 344","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve n - 10*n + 1639 = 3*j + 1567, 3*n - 24 = 4*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d = -d + 2*d. Let h(a) be the second derivative of 0 - a - 1\/42*a**4 + d*a**2 - 1\/70*a**5 + 1\/105*a**6 + 1\/21*a**3. Determine o so that h(o) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1920 + 2883. Suppose 193 = -7*j + f. What is the highest common factor of j and 44?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 657071.7 rounded to the nearest one hundred?\nAnswer: 657100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -39.9, -5, -4, 27, -1, 3 in descending order.\nAnswer: 27, 3, -1, -4, -5, -39.9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.2 - 0.3. Let x(j) = j**2 - 14*j + 45. Let m be x(6). What is the second smallest value in m, v, 4\/3?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 + 2*o - 1 + (o - 5*o + 3*o)*(-4 + 5 - 3) + (-17 + 6 + 10)*(-5*o + 3*o + 5*o) to the form a*o + r and give a.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -42785*l**2. Let y(c) = -747*c**2. Determine y(k(b)).\nAnswer: -1367425500075*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -5*h - 14. Suppose 4*y + 0 + 8 = 0. Let o be y\/3*1*-3. Let x(w) = o - 13 + 6 - 2*w. Give -4*n(z) + 11*x(z).\nAnswer: -2*z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -1\/30, 0.07 in descending order.\nAnswer: 0.07, -1\/30, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(540)*-5 - sqrt(15))\/sqrt(1125) + ((sqrt(3) + 6*(sqrt(3) + sqrt(3)*2 + sqrt(3)) - (1 + sqrt(3) + 0 - sqrt(3)))**2 - (-1*sqrt(750))\/sqrt(10)).\nAnswer: -706*sqrt(3)\/15 + 1876","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 271 - 266. Suppose 0 = -5*u + 15, -3*u = -h - 4*h + 26. Solve o*p = -22 + h for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + l + 1)*(3 + 3 - 4) + (-1 - 11 + 4)*(-12*l + 6*l + 37*l) to h + s*l and give s.\nAnswer: -246","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11 (base 4) to base 3.\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 28 and 72.\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 26 + 6 = 0. Suppose -5*z = -6*z + q*s - 17, 0 = -2*z - 3*s + 31. What is the common denominator of (4\/(-6))\/(z\/(-106)) and -145\/12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000264 to 6 dps.\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.2, 89, 0, -0.0551?\nAnswer: 89","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -2*f**3 - 3*f. Let p = -10 + -3. Let v = p + 17. Let b(w) = -v*w**3 - 4*w + 0 - 3*w + 0. Give 4*b(t) - 9*c(t).\nAnswer: 2*t**3 - t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 5691 = 5*k, -3 = 3*d + 3. Let o = k - -208. Let t = o + 1382. What is the highest common divisor of 41 and t?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/3, 0, 7\/17, -49 in decreasing order.\nAnswer: 7\/17, 1\/3, 0, -49","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.4658 - 0.4358. Sort -4, 0.2, -0.5, 23\/4, z in decreasing order.\nAnswer: 23\/4, 0.2, z, -0.5, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -151\/8 + 859\/40. Suppose -5*q = 17 + 8. What is the third smallest value in q, -2\/3, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 88392805 to the power of 1\/2, to the nearest integer?\nAnswer: 9402","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: What is next in 15357, 30341, 45313, 60267, 75197?\nAnswer: 90097","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 2*u**2. Let s(z) = -47 + 47 - 4*z - 42*z. Calculate x(s(n)).\nAnswer: 4232*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 6? (a) -1\/3 (b) -2\/187 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 655385905?\nAnswer: 5, 19, 6898799","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-83 + 50 + 192*k + 31)*((2 - 5 + 1)*(1 - 1 + 1) + 1 + 3 - 3 + 1 + 0 - 5).\nAnswer: -960*k + 10","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -19 + (1 - -27) - (1 - (3 - -9))?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 76761 is divided by 3070?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand 7*b + 3*b - 2*b + (b + 2*b - b)*(-1 + 0 - 3 + (-4 - 1 + 3)*(10 + 8 + 0)).\nAnswer: -72*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:55 AM and 8:53 AM?\nAnswer: 418","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39 = -2*m - 81. Is -92*(-383)\/6 - 20\/m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -14 - 4. Let y be (x\/(-12))\/((-1)\/(-6)). Suppose 4*z = y*z - 490. Is 19 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 75 - 45. Let y = -20 + v. List the prime factors of -1*y*5\/(-2).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c**3 - 1321*c**2 - 25382*c - 104520 = 0. What is c?\nAnswer: -13, -6, 1340","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 - -210 - -1*(-1 + -1) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = n**2 + 25*n - 45. Give m(-27).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h - 1884 = -4*m, 934 = 189*m - 187*m + 2*h. Let d(c) = -c**3 + 6*c**2 + 3*c - 6. Let a be d(-5). Let x = m - a. What is the tens digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 165\/20 - ((-10)\/(-8))\/5. Let f be (-49)\/28 - ((-2)\/(-1))\/j. Is 20 a factor of f - ((-18)\/4)\/((-3)\/(-28))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 7*w - 338. Let s be c(53). Solve -28*m = -17*m - s for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -11*i**2 + 1518*i - 114. List the prime factors of n(75).\nAnswer: 3, 59, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) be the third derivative of -v**4\/4 + 8*v**3\/3 - 687*v**2. Determine z(7).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4.5 times 25.201\nAnswer: -113.4045","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kkakrakar. What is prob of picking 1 k and 1 a?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 = -6*s - 4*q, -q = -5*s - 49426 + 49444 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -188, -17, 0.2, -19, 3, -0.1?\nAnswer: -17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 68988, 274753, 617686, 1097781, 1715032?\nAnswer: 2469433","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 6*v + 49. Let q be d(-8). Let u = 6 - 8. Let p be 13\/(-20) - u\/8. Is p greater than or equal to q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (14 - 15)\/((-2)\/(-20)). Let x(y) = -94298*y**2 + 18*y - 20. Let i be x(h). Round i to the nearest one million.\nAnswer: -9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 times -228.1242?\nAnswer: -22.81242","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(3\/2)\/(g**(-3\/7)*g)*(g\/g**(2\/11))\/(g**3\/g) assuming g is positive.\nAnswer: g**(-39\/154)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -y - 1. Let j(s) = -17*s - 110. Let u(i) = 6*g(i) - j(i). What are the prime factors of u(4)?\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 1\/17 (b) 15 (c) 0.4 (d) 1.1 (e) -1\/5 (f) 0.1 (g) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 121.5 - 30.6. What is p rounded to the nearest 10?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -3678, -3656, -3596, -3480, -3290, -3008?\n\"Answer: 3*h**3 + h**2 - 2*h - 3680","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = q**2 + 10*q + 29. Let m be x(-6). Let s(p) = 4*p - 20. Calculate s(m).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in six fifths of a gram?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-5 + 4 + 2)*(-2 - 1 + 1) - 1 - 4 + 0)*(3*o + 3*o - 4*o).\nAnswer: -14*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 3004116767?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -696200*h**2\/11 + 118526280*h\/11 - 5044699458\/11.\nAnswer: -2*(590*h - 50223)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 4216, 4135, 3988, 3775, 3496, 3151?\n\"Answer: -33*b**2 + 18*b + 4231","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 4, m: 4, n: 7}. Give prob of sequence nmn.\nAnswer: 4\/65","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 18 - 8. Let f = -128\/17 + 845\/119. Calculate the common denominator of f and (0 - -2) + r\/(-6).\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + 16 = 6*y, -56 = -4*b - 5*y. Suppose l + 5*i - 23 = i, 20 = 5*l + i. Calculate the remainder when b is divided by l.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -66 divided by -2\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -2938092, -5876162, -8814232, -11752302, -14690372?\n\"Answer: -2938070*l - 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 12 - 1. Suppose -2*a = r - 1. Are a and 0.3 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-135)\/6*(-22)\/66. Factor -9\/2*s + g*s**2 - 3.\nAnswer: 3*(s - 1)*(5*s + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-46 - -46 - -13) + -61 + -2?\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -49910 or -49906?\nAnswer: -49910","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*o**2 - 2*o**2 - 4*o**2 - 6*o + 4*o.\nAnswer: 2*o**2 - 2*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 18041 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4\/5 in 3.52, 0, 3\/5?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 984504.5 meters to micrometers.\nAnswer: 984504500000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find o such that 9*o**4\/5 - 39*o**3\/5 - 62*o**2\/5 + 128*o\/5 + 32 = 0.\nAnswer: -4\/3, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 903498?\nAnswer: 2, 3, 150583","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 219987751 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*b**2*f**3*n**3 - b**2*n + 157*f**3*n**2 - 286*n**4 wrt n?\nAnswer: -12*b**2*f**3 - 6864*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 0 = -6. Is o >= 3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 177863 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 2066000 to the nearest 100000.\nAnswer: 2100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 45 - 0?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 10755761*y**3 - 12988860*y wrt y.\nAnswer: 64534566*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 364854 to the nearest integer?\nAnswer: 604","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2220849 and 348.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -37 or -26?\nAnswer: -37","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -23 - -33. Suppose 16*c + 196 = 20*c. What is the remainder when c is divided by x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-10)\/45 + 116\/36. Solve -c*l - 15 + 5 = -n, -l + 20 = -5*n for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6524\/(-494193)*((-3)\/(-8))\/(4\/16).\nAnswer: -2\/101","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 681089 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 173909 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1391 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -381, -701, -1021, -1347, -1685?\nAnswer: -2041","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -8854, -18025, -27834, -38599, -50638?\nAnswer: -64269","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 1, 2\/7, 0.4, -11?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*u - 2*c - 13, 4*u = c - 1 - 12. Let s(x) = -5*x. Let i be s(u). Let a be 2 + 42 - (-3)\/3. Calculate the greatest common factor of a and i.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 446*b**2 - 914*b**2 + 6649*b + 2 - 625*b**2 - 6648*b.\nAnswer: -1093*b**2 + b + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 87 - 47. Is p a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -161? (a) -0.5 (b) 130 (c) -6\/37\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2758, 6066, 9374, 12682, 15990?\nAnswer: 19298","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = j. Let m be (-24)\/(-10) + (-16)\/40. Let v(n) = n**2 + 3*n**2 - 3*n**m + n**2. Calculate y(v(t)).\nAnswer: 2*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -33\/44372 and 81\/968?\nAnswer: 10738024","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 4*f**2 + 7*f + 36. What is d(-4)?\nAnswer: 72","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) be the first derivative of s**3\/3 - 1. Let i(f) be the third derivative of 0 + 0*f**4 + 1\/15*f**5 + 0*f + 0*f**3 - 6*f**2. Calculate l(i(t)).\nAnswer: 16*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 5 + 1)*(-6*o + 1 + 1 + 0).\nAnswer: -18*o + 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -310 - 505 = -5*y. Let u = y + 299. What is the hundreds digit of u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in three fifths of a millennium?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 62072 is divided by 8867.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -4*q + 7. Let a(u) = 0*u + 3*u - u - q*u. Let g(c) = 2*c. Give g(a(n)).\nAnswer: -2*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2204305297.\nAnswer: 877, 2513461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26 = -38*u + 39*u. Let c(y) = y**2 + 5*y + 27. Is c(u) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -v + 4. Suppose -9 = -v*s + s. Suppose -4*z + 115 = -s*t, -t - 102 = -3*z - 4*t. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -1248*n**2*r - 325*n**2 + 10786*n*r + 7998*n + r**4 + 17 wrt r?\nAnswer: -1248*n**2 + 10786*n + 4*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 961205 and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ny when two letters picked without replacement from nydww?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 3 - 2 = -k, k - 5 = -2*r. Suppose -4*j - 588 + 3738 = -3*w, k*w = 2*j - 1572. What are the prime factors of j?\nAnswer: 3, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -20421 (base 11) to base 8.\nAnswer: -72135","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oitotyk. Give prob of picking 1 y and 1 o.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lal when three letters picked without replacement from ulaqqyuluql.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -473667, -473671, -473667, -473649, -473611, -473547?\n\"Answer: b**3 - 2*b**2 - 5*b - 473661","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -96\/119 - -21\/17. Let g be 1\/(-8) + 1\/(-4). Let b = 0.4 - 0.7. Sort l, b, g in decreasing order.\nAnswer: l, b, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 320\/112*14\/8.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -486, -965, -1442, -1917?\nAnswer: -2390","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -3*h + 3*n - 1, -n - 21 = 4*h. Let j(a) = -a. Let z(s) = -12*s. What is h*j(y) + z(y)?\nAnswer: -8*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (26*a**2 - 11*a**2 + 17*a**2)*(-a**2 - a + a).\nAnswer: -32*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 13 - 69. Suppose 7*k + 41 = 62. Suppose -141 - 30 = k*o. Which is smaller: o or w?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0\/(1\/(3\/(-6)))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) be the first derivative of -c**7\/420 + c**6\/144 - c**5\/360 - c**4\/144 - c**2\/2 + 10*c - 72. Let x(q) be the second derivative of r(q). Factor x(v).\nAnswer: -v*(v - 1)**2*(3*v + 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 68 is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.2607, 5, -4, -1\/7?\nAnswer: 0.2607","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 128506587 divided by -1517\nAnswer: -84711","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 11.1007 take away 4?\nAnswer: 7.1007","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) be the second derivative of 13\/6*y**4 + 2*y - 37\/20*y**5 + 110 + 0*y**2 + 0*y**3. What is the third derivative of t(i) wrt i?\nAnswer: -222","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*g*k**2 - g*k + 432*g + 10*k**3 - 1 wrt k.\nAnswer: 4*g*k - g + 30*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (2\/(-16)*-14)\/((-4)\/(-368)). What is the highest common divisor of y and 23?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 853 - 852. Solve -s = -r + 2*o, 4*o + 1 = -2*r + 3 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d = -5*h + 4*d + 20, -5*h + 3*d = -25. Let m be (5\/(-15))\/(h\/(-24)). What is the second derivative of -5*w**m + 14 + 9*w - 14 wrt w?\nAnswer: -60*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = o + 4*o - 10. Let p = -111 - -113. Suppose o*m - p*f - 17 = f, 5*f = m - 5. What is the remainder when 18 is divided by m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 81.8, 1\/5, -31?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -113 + 209 - 4*n - 2 + 986.\nAnswer: -4*n + 1080","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 14861 divided by 6\nAnswer: 14861\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) be the third derivative of -13*v**5\/120 - 3*v**4\/8 - 8*v**3\/3 + 8*v**2. Let w(t) be the first derivative of h(t). Differentiate w(i) wrt i.\nAnswer: -13","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-8)\/(-7)*7\/2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:51 PM and 6:51 PM?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 428 (base 14) to base 5.\nAnswer: 11240","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -2607137 divided by -32\nAnswer: 2607137\/32","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (8 - ((-357)\/(-24) - 7)) + (-772)\/(-64)*-2\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = y**3 + 20*y**2 + 16*y + 76. Let o = 336 - 289. Calculate the remainder when g(-19) is divided by o.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 525 or 527?\nAnswer: 527","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = c - 20. Let l be s(16). What is the remainder when 100 + (-3)\/(l + 1) is divided by 65\/2 - 69\/(-46)?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 3\/(-5) - (-124)\/(-40)*-66?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-17)\/4 - -4 - (-4 - -4) - 3087\/(-252).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -h**2 + 2*h + 12. Determine q(5).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4426, -4415, -4390, -4345, -4274, -4171?\nAnswer: -4030","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -1469 - -7.12\nAnswer: -1461.88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Do -128696 and -643479\/5 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 3, -3, -2 in increasing order.\nAnswer: -5, -3, -2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 8106 + -8103. Put -5, -3, -11, -6, p in decreasing order.\nAnswer: p, -3, -5, -6, -11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 e and 1 p when three letters picked without replacement from eppeekkeppkekeppekp.\nAnswer: 49\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.12 - 1.48. Let f = w - -0.6. What is the third smallest value in 0.2, -0.1, f?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2268\/(-8505) + 2\/(15\/(1 + 0))\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 216\/(-15)*(-4 - 6). Let s be ((-10)\/(-8))\/((-3)\/h). Does -59 = s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 177*h - 346. List the prime factors of q(17).\nAnswer: 2663","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s - 27 = -q - 78, -2*s = -10. Which is bigger: q or -40?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*t + 108*t - 1441 = 0 for t.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2 (b) -1 (c) 1\/7 (d) 56\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/8 of a litre in millilitres?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 482 minutes before 10:53 PM?\nAnswer: 2:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 4, q: 2, e: 2, c: 2, x: 1, a: 3}. What is prob of sequence exe?\nAnswer: 1\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + i = -3*t + 32, -24 = -4*t - 2*i. Suppose 0*b + 4*b = t. Suppose b*l - 17 = 3*j + 42, j = -3*l + 61. What is the tens digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*r - 4096 = 143*r + 34*r + 800 for r.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1228907\/48 - 25600. What is the common denominator of w and -35\/156?\nAnswer: 624","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + (sqrt(1053)*-2*3 - (1*sqrt(1053) + 1 - sqrt(1053)))*-1)**2.\nAnswer: -324*sqrt(13) + 37917","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.1142 + 4.8042. Let d = -1.69 + x. Which is the third biggest value? (a) -2\/7 (b) d (c) -0.16\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2 + 10. Suppose 4*m + 0*m - g = -48, m - 5*g = -12. Let t = m + f. Solve t = 5*q - 29 + 4 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1.25 - 1.18. Suppose 0 = 6*a - a - 20. Sort 0.1, c, a in increasing order.\nAnswer: c, 0.1, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/n**7*n)\/n*n*n**(-2\/23))\/(n**(-2\/41)\/(n\/(n**10*n)*n)) assuming n is positive.\nAnswer: n**(-13238\/943)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is (176\/(-16))\/22*-510014 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/4, 0.12, -9 in increasing order.\nAnswer: -9, -1\/4, 0.12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 56302571*u**2 - u + 8237770.\nAnswer: 112605142","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 3151 + 22426?\nAnswer: 25577","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 3\/2*48\/(-6). Let r = -34 + 24. Let a be (q\/r)\/((-1)\/5). Let z(x) = -x**2 - 3*x + 7. Calculate z(a).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.4117 plus 2?\nAnswer: 0.5883","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -470*x + 902*x - 126 = 453*x for x.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w = -3*x - 25, 54*w = 58*w + 20 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2507 is divided by 2403?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen quarters of a millennium in years?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 24*d**3*n - 2*d**3 - 1423617*d**2 - 2*d*n - 256580*n**2 wrt n.\nAnswer: 24*d**3 - 2*d - 513160*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -2 - (-2)\/3*3. Suppose w = 4*f - f - 12. Let g(o) be the first derivative of -3*o**2\/2 + 6*o + 1. Give g(f).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((4 - 3 + 1)*(1 - 10 + 10) + 3 + 0 - 4 + (1 - 5 + 2)*(-2 + 2 + 1) + 6 - 2 + 0)*(-13*m**5 + 2*m**5 + 17*m**5).\nAnswer: 18*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 5) to base 2\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = c**3 - 4*c**2 - 11*c - 65. Let w be n(7). Let k = 9 - 6. Find the second derivative of -w*t + k*t + 11*t + 10*t**5 + 0*t wrt t.\nAnswer: 200*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = n - 3. Let o be d(8). Suppose 3*w - w = -5*r + 82, 0 = 5*r + o*w - 70. Calculate the least common multiple of r and 62.\nAnswer: 558","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1516176 divided by -42116?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -47309, -48107, -48903, -49697, -50489, -51279, -52067?\n\"Answer: c**2 - 801*c - 46509","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4021, 4017, 4011, 4003, 3993, 3981?\nAnswer: 3967","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (n - n + 2*n**2)*(16*n + 85 - 85) + 1 + n**3 - 1 to o*n + k*n**3 + s + d*n**2 and give k.\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 5*b**2 - 6*b - 7. Is x(4) a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4 in 19.8, -104\/7, 50, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 8059.00032847 + -8059. Round q to 4 decimal places.\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) be the first derivative of 1496*n**2 + 107*n - 33. Is l(6) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 45, 155, 467, 1083, 2105, 3635, 5775?\n\"Answer: 17*v**3 - v**2 - 6*v + 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cckkmfckfkkkkkfmm. Give prob of picking 1 m and 2 f.\nAnswer: 9\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**1)**34\/(o**(-1\/11)*(o**(4\/9)\/o)\/o))\/((o\/((o*o\/o**(-1\/3)*o)\/o))**(-44)*o*o\/o**(1\/9)*o*o\/(o*((o**(2\/9)*o)\/o)\/o)) assuming o is positive.\nAnswer: o**(-2642\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -1011 (base 2) to base 10\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3\/46 - -105\/23. Which is bigger: s or 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 1, g: 5, w: 11, x: 1, a: 2}. What is prob of sequence agf?\nAnswer: 1\/684","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ruw when three letters picked without replacement from {u: 2, b: 1, r: 1, w: 3}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -3cf (base 16) to base 12\nAnswer: -693","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 1, -10, -3, -8 in ascending order.\nAnswer: -10, -8, -3, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 24730 and 241248569?\nAnswer: 2473","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -195 divided by 3\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*z**3 + 1185*z**2 - 38570*z.\nAnswer: 5*z*(z - 29)*(z + 266)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 80 equal to -25\/26?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 4\/3 of a day?\nAnswer: 32","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 260216, 520433, 780650?\nAnswer: 1040867","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 9830 - 9919.19. Let k = n + 91. Let j = -0.31 + k. Which is the second biggest value? (a) j (b) -2 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = v**2 - 11*v + 19. Let x be t(8). Let n(j) = j**2 + 6*j - 6. Give n(x).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -113\/3, 4, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14729?\nAnswer: 11, 13, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 42 a factor of 99?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mycrr. What is prob of picking 2 r and 1 c?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 17*x**2 - 769*x + 6404. Calculate h(11).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -18.036524 to the nearest ten.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -115\/465696 and -29\/4851?\nAnswer: 465696","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + 2*t = -10, 2*o + t = 5*o - 1. Let z be (29\/(725\/(-10)))\/(2\/(-55)). Suppose -2*y + 3*k - z = 0, -3*k = -14 - 1. Put y, o, 5 in decreasing order.\nAnswer: 5, y, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 3\/(-1) + (-54)\/3. Let w be (-22)\/30 + (-7)\/u. Which is the biggest value? (a) -3 (b) -1 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -h**3 - h**2 - h. Suppose -2*x + 14*s - 17 = 11*s, 0 = 3*x + 5*s - 22. What is w(x)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = u**3 + 8*u**2 + 129*u + 1262. Let t be p(-9). What is h in 5\/4*h**4 - 25\/2*h**3 + t + 165\/4*h**2 - 50*h = 0?\nAnswer: 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -339.39 rounded to the nearest 10?\nAnswer: -340","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 45\/8 of a microsecond?\nAnswer: 5625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 20 - 15. Sort 0.4, s, 0.1 in increasing order.\nAnswer: 0.1, 0.4, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2504200 rounded to the nearest 100000?\nAnswer: -2500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (60\/160)\/(2*(-6)\/8).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) 182 (b) -1 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 521.0862ns in microseconds?\nAnswer: 0.5210862","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2 + 1)\/(-1 + 2). Let x = 614 + -612. Which is the second biggest value? (a) q (b) -1\/3 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 37\/11 (b) -17\/7 (c) 1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 3aa577 - -1?\nAnswer: 3aa578","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 96.095 + -96. Let s = -0.105 - b. What is the closest to -1 in s, 3\/5, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 1, y: 1, x: 5, k: 1, z: 2, m: 1}. Give prob of sequence bzk.\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Let w = -29 + 54. Suppose 0 = 5*t - 10*t + w. Solve -m = 2*x + t, -2*x + 2*m = -0*m + 20 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*a**2 - 2*a**2 - a**2 + (-6 + 5 - 1)*(-a - 2*a**2 + a) + (0 + 0 + 2*a**2)*(-1462 + 7027 - 4440 - 5881).\nAnswer: -9507*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (((-8)\/180)\/(4\/24))\/(-2). Let l = 2.4 - 10.4. What is the nearest to l in t, 5, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -j**3 - 8*j**2 - 9*j + 3. Let v be a(-8). Suppose 92 = -2*o - 4*f, -4*f + f = 4*o + 164. Let c = v + o. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 445 minutes after 7:48 PM?\nAnswer: 3:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 488 minutes after 4:21 AM?\nAnswer: 12:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) be the first derivative of -d**2 + 55*d - 26. Calculate the remainder when k(-13) is divided by 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -3*z + 25. Suppose -3*b + 6*b = z. Suppose 0*l + l - 8 = -5*a, b*a - 12 = 3*l. What is the highest common factor of a and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, -3, -5, 5 in descending order.\nAnswer: 5, -3, -5, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 878, 240, -396, -1030?\n\"Answer: j**2 - 641*j + 1518","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = z - 219 - 214, 0 = v + 2*z + 430. Let q = v - -1423. Is 20 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 11 - 3 - 5 + 0*q - q. Suppose -2*i = i - 27. Suppose i*o + 7*o = 112. Determine r(o).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2661 and -1873.\nAnswer: -4984053","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2.2 in 25, 1\/7, 2, 3, -4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 68 - 68. Is (-51 + 2 + m)*(-14 + 13) a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -11c - -12e3?\nAnswer: 11c6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1432, -3425, -5418?\nAnswer: -7411","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -88 * 13.\nAnswer: -1144","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 19 + -18. Let u = -8 + 11. Let p(w) = 2*w + w**3 + w**2 - 4*w**u - 3*w. Give p(z).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2694 is divided by 71?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -24, -29, -50, -99, -188?\nAnswer: -329","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 3389341 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 12 + -8. Suppose 0 = 2*g + z*j - 16, 4*g - j = 2*j - 1. Suppose -g*y = y, y = -w + 8. Does 3 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -271787, -271785, -271781, -271775?\nAnswer: -271767","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -1574, -1610, -1682, -1808, -2006?\n\"Answer: -3*m**3 - 15*m - 1556","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 2*j**2. Let g(w) be the first derivative of 3*w**3 + 22*w + 657. What is g(f(x))?\nAnswer: 36*x**4 + 22","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uwupgp. What is prob of sequence pgwu?\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (40\/(-3))\/(-20)*(-3)\/(-2). Let f(k) = k**3 + 2*k**2 - 4*k. Let r be f(-3). Put r, -2, s in increasing order.\nAnswer: -2, s, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (8385\/129 - 71)*38\/4\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 498\/5 + -100. What is the closest to n in 3\/7, 0.4, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -78.089 + 78. Let b = -50.57 + 54.57. What is the nearest to -0.1 in -1\/9, b, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 27864, 111422, 250682, 445644, 696308, 1002674?\nAnswer: 1364742","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21432747?\nAnswer: 3, 7, 211, 691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0673145027 rounded to two decimal places?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 1, -1\/3, -1\/7, -5 in increasing order.\nAnswer: -5, -1, -1\/3, -1\/7, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*x**4\/4 - 61473*x**3\/4 + 567510*x**2 + 1810119*x + 1227240 = 0. Calculate x.\nAnswer: -2, -1, 40, 20454","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*t + 13*t + 43*t = 495197. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 126 minutes after 11:13 PM?\nAnswer: 1:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -26 - -26.49. Let c = d - 0.09. What is the smallest value in 0.5, 1\/4, c?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 28618599.\nAnswer: 3, 17, 59, 9511","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = z. Suppose -d + 0 = -4. Suppose 2 + d = w. Suppose -k = k + w. Give s(k).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 46183225?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 123 + -115. Let s = -4 + 9. Solve -s*v + 7 = -z for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*o**4 + o**4 - 4*o**4 + 0*o**2 + 4*o**2 + 2*o**3 to k*o + i*o**2 + x + a*o**3 + v*o**4 and give v.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -3*t + 1 - 6*t**3 + 3*t - t**2 + t. Let l be z(-2). Let g = l + -171\/4. Which is the smallest value? (a) 0.2 (b) g (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19486 = 204*q - 5410 for q.\nAnswer: -69","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.141 + 0.041. Which is the nearest to 1\/3? (a) 0.2 (b) j (c) 4 (d) 5\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = f**3 + 5*f**2 - 7*f + 1. Let i be s(-6). Solve -4*n - 9 = -i*n for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is b in -18\/5*b**5 - 468\/5*b + 1214\/5*b**3 + 26*b**4 + 366*b**2 + 0 = 0?\nAnswer: -3, 0, 2\/9, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1 + 1)*(-1)\/(-2). Let m be 5\/((-10)\/6) + -45. Let y be (8\/m)\/((-2)\/(-3)). Which is smaller: u or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 0.07 (b) -0.1 (c) -28 (d) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 6\/5 of a second?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0\/(-1) - (-250 + 252) - 56\/(-26).\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 1 (b) -4 (c) -0.1 (d) -840\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*s + 1047 = 367*s for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4 - -4. Suppose w = t - h - 27, -8*h - 109 = -4*t - 3*h. Calculate the highest common factor of 39 and t.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l = 5*w - 17, -w = -6*w + 15. Put -5, 58, l, -3 in decreasing order.\nAnswer: 58, l, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 56\/11 (b) 0.4 (c) 1\/3 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 7001.643 meters?\nAnswer: 7001643","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 645030 to the nearest 100000.\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = w**3 + w + 1. Let a(m) = -m**3 + 6*m**2 + 4*m + 5. Let p(f) = -a(f) - 2*c(f). Let y be p(-5). What are the prime factors of (-2 + 3)\/(y\/(-88))?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 7*y - 1264000 = 0. What is y rounded to the nearest 10000?\nAnswer: -320000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - 1) + 3 + 0 + 1?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 12690 - 8895. What is the units digit of z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 280 and 245?\nAnswer: 1960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -77*h**5 + h**3*v**2 - 2*h**2 + 6*h*v**2 wrt h?\nAnswer: -4620*h**2 + 6*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*u**4 + 4300541*u**3 - 9440*u**2 + u + 18 wrt u.\nAnswer: 48*u + 25803246","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -1418*m**4 + 34*m**2 - 13*m + 124. Let f(n) = 473*n**4 - 10*n**2 + 4*n - 41. Let i(j) = -13*f(j) - 4*h(j). Find the third derivative of i(u) wrt u.\nAnswer: -11448*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -68 - 68 - 2*v + 136. Let o(d) = 43*d + 26*d + 13*d + 14*d. What is p(o(b))?\nAnswer: -192*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 570 minutes before 11:58 PM?\nAnswer: 2:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1996*u - 17982 = -2239*u for u.\nAnswer: 74","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 33800?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = a + 3. Let z be i(11). Suppose -3*k = 3*w + 6, -3*w - 5*k - z = -0*k. Suppose -21 = -w*q - 5. List the prime factors of q.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 0*(0 - (-1)\/2). Calculate the smallest common multiple of 4 and (3 + 57)\/3 + l.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 293*t - 3627 - 182 = 0 for t.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r + 2*q - 1379 = q, q = -2*r + 691. Calculate the highest common factor of r and 430.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.7 + -0.4. Let n = 1.1 + -0.7. Sort -3, n, y.\nAnswer: -3, y, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*q**2 - 4*q + 4*q + q + 2*q**2 - q + 0 - 2*q**2 + 0 + (q + q - 4*q)*(2 + q - 2) + 2*q**2 + 0*q**2 + 0*q**2 + (-3*q - 5*q + 2*q)*(5*q + 3*q + 5*q).\nAnswer: -80*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 192.144 - 190. Round y to the nearest integer.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 230*x - 32. Let i be (-2*(-12)\/(-10))\/(10\/(-25)). What is the thousands digit of r(i)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4739 - -4744. Which is the second smallest value? (a) n (b) 3\/4 (c) -33 (d) 7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-1 - 1 + 3)*(-2 + 0 + 3) + (0 - 1 + 0)*(-2 + 4 - 1) - 2 + 2 - 2)*(3*h + 0*h - h)*(26*h**2 + 10*h**2 - 6*h**2).\nAnswer: -120*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.2 + -0.4. Let m be (-12)\/8*8\/(-42). Which is the closest to i? (a) -0.5 (b) m (c) -1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 14*f + 1. Let l(k) = 7*k. Let w(x) = -2*i(x) + 5*l(x). Determine w(-2).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -15*q**2 + 89*q - 249. Calculate y(3).\nAnswer: -117","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = n**3 + n**2 - 1. Let h(x) = -18*x**3 - 6*x**2 + 7*x - 10. Let r(t) = -h(t) + l(t). Let m(s) = 9*s**3 + 3*s**2 - 3*s + 4. Calculate -7*m(u) + 3*r(u).\nAnswer: -6*u**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -t + 3. Let p = 20 + -20. Let c be 1 - (p + -40 - t). What is the highest common divisor of c and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 971425 and 3050?\nAnswer: 1942850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((81\/36)\/(-3))\/(33\/220). Let x be 1*(0 + -2) - 1. Let m = x + 2. Which is the third smallest value? (a) m (b) -3\/5 (c) l (d) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1000111010101101001 (base 2) to base 7.\nAnswer: -2324620","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (103*x**4 + 66*x**4 + 157*x**4 + 91*x**4 + (-x - 1 + 1)*(-2*x**3 + 3*x**3 + 0*x**3))*(-39 - 11 + 3) as n*x**2 + t + m*x**4 + b*x**3 + j*x and give m.\nAnswer: -19552","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.89 and 0.2.\nAnswer: -0.178","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (24\/(-28))\/(((-6750)\/(-84))\/25)?\nAnswer: -4\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 31220300 (base 4) to base 12\nAnswer: 283a8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = x**3 + 11*x**2 + 11*x + 15. Let y be s(-10). Suppose -3*f + 595 = -y*b + f, -5*b + f - 595 = 0. What is the units digit of (0 - b) + (-4 + 8)*-1?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (77\/28)\/11 + 22\/8. Suppose v - 20 = c*o, o = -v - 0*v. Let h = 53 + -21. Solve -l - 15 = 5*i, -v*i - 5*l = 3 + h for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + ((sqrt(475) + sqrt(475)*2 + 1 + (sqrt(475) + (sqrt(475) - sqrt(475)*1))*2)**2 - ((sqrt(475) - (-5 + 2*sqrt(475) + sqrt(475)))**2 + -3 + -2)).\nAnswer: 150*sqrt(19) + 9957","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 1235*c - 24882. Determine i(19).\nAnswer: -1417","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/f**(-24)*f*f)\/f**24*(f**18)**(-1\/9) assuming f is positive.\nAnswer: f","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + 9 = -15. Let g(v) = v**3 + 10*v**2 + 12*v + 10. Let b be g(j). Let z = -30 + b. Calculate the remainder when z is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -30437, -60888, -91341, -121796?\n\"Answer: -b**2 - 30448*b + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -9551872740 to the nearest one million.\nAnswer: -9552000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = o**3 - 3*o**2 + 4*o - 3. Let l = 8 + 2. Let g = l + -7. List the prime factors of p(g).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -7 + 18. What is the remainder when 43 is divided by b?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 111000 (base 2) in base 10?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 141819?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 33*s - 8*s - 8 + 0*s + 27*s.\nAnswer: 52*s - 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 687382 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 30*u**2 - 161*u - 1141. Calculate the remainder when z(-7) is divided by 1448.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) be the third derivative of c**7\/525 + 19*c**6\/30 + 377*c**5\/150 + 47*c**4\/15 - 163*c**2. Determine f, given that h(f) = 0.\nAnswer: -188, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 51817547 is divided by 12954386?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 42\/(-12)*9\/(-21)?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 699442\/103 or 6790?\nAnswer: 6790","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1939 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 1 - 1)*(3*b**2 - 2*b**2 + 0*b**2).\nAnswer: 2*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 51 = -4*o, 0 = -4*o + 2*d + 3*d + 61. Is 5 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -2 and -346655.88803794.\nAnswer: -346657.88803794","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -83535, -167071, -250611, -334155, -417703?\nAnswer: -501255","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ydyqddqfbdqdfq. What is prob of sequence qf?\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5 - -4.5. Let x = -0.1 - -0.6. Let f = -0.9 + x. Which is the smallest value? (a) f (b) -1\/6 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 0.2941723 hours?\nAnswer: 1059020280","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -11*b - 9 + 31. Let a(o) = -12*o + 22*o**2 - 46*o**b + 11 + 26*o**2. List the prime factors of a(9).\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -8\/9 in -1\/8, 4, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 146404 is divided by 44900?\nAnswer: 11704","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 3*s + 6. Let a be (-3)\/3*(-12)\/4 + 1. Let y(t) = 3*t + 8. Let f(r) = a*w(r) - 3*y(r). Let p(k) = -17*k**2 - 3*k. Determine f(p(d)).\nAnswer: -51*d**2 - 9*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*s**2 - s**2 - 5*s**2.\nAnswer: 7*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = n**3 - 13*n**2 + n - 17. Let i be u(13). Let h = 0.3 - 1.3. Which is the closest to i? (a) 0 (b) h (c) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(4 + sqrt(1539)*-2)**2.\nAnswer: -720*sqrt(19) + 30860","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 11713, 11726, 11747, 11776, 11813?\nAnswer: 11858","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1000100010111 + -1000?\nAnswer: 1000100001111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t + 3*h - 2*h = 6, -10 = -5*h for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 162 and 144?\nAnswer: 1296","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -76 - -94. What is the smallest common multiple of i and 174?\nAnswer: 522","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q = -30 + 5, -3*n - 4*q + 181 = 0. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 18 + 39. Let c = -34 - -49. Calculate the remainder when i is divided by c.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -91 - -44. Let x = d - -47.000043. What is x rounded to 5 dps?\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30940 less than or equal to 30939?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00730036 to five dps.\nAnswer: 0.0073","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) be the third derivative of -l**5\/15 - 7*l**4\/6 + 20*l**3 - 592*l**2. Solve z(b) = 0.\nAnswer: -10, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1768.03925 + -1768. What is p rounded to two dps?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/(-14))\/(-1*70\/(-196)).\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 35\/(-10) - (0 - 3*4\/(-24)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*o**5\/13 - 4*o**4\/13 + 14*o**3\/13 + 40*o**2\/13 + 24*o\/13 = 0. What is o?\nAnswer: -2, -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000014601265 rounded to seven decimal places?\nAnswer: 0.0000146","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -53 = -9*f - 8. Solve -4*s + 35 = f*n, 3*s + 5*n - 30 = -0*s for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 376 + -603345?\nAnswer: -602a7a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 366*j**2 - 3*j - 2. Let w be (-1 + 0)\/(12\/12). Is g(w) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*f = -5*s + 36, 3*f = 13*s - 9*s - 28 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-30)\/(-5))\/(-2)*-2*(-10)\/(-15).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -2603370.2 rounded to the nearest one thousand?\nAnswer: -2603000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (1 - 15) + 4 + (-15 - -15)\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 4 or 2?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -155*o + 11938. Calculate v(77).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 17 - 3?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 15 - -26 - (4\/3 + 0). Let i(g) = 11*g**2 + 4*g + 3. Let s be i(-2). Let k = s - q. Which is the third smallest value? (a) k (b) -4 (c) 0.08\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -c**3 + 3*c**2 + 2*c. Let k be r(2). What is the greatest common factor of 1 and k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 710044259 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -11 - -460. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3950237 divided by 79\nAnswer: 50003","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 5903966473 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 916.144 weeks?\nAnswer: 554083891200000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -1530 * 8\nAnswer: -12240","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ssj when three letters picked without replacement from gsggsjjssgsg?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-17)\/(85\/(-390)) + 3*1. Let u(q) = -87*q - h*q - 3 + 167*q. Give u(5).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 113732?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1335*k - 4*g = -1337*k - 16, 5*k = 3*g - 33 for k.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -23959777 less than or equal to -23959764?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8)\/(-6)*54\/(-36)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 84927868?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -36 - -52. Let u = m + -11. Let l = 3 - u. Which is the smallest value? (a) -4\/7 (b) 0.1 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) be the third derivative of -m**7\/105 - m**6\/10 - 2*m**5\/15 + m**4\/2 + 5*m**3\/3 - 2*m**2 - 3*m. Factor o(u).\nAnswer: -2*(u - 1)*(u + 1)**2*(u + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one twentieth of a kilogram in milligrams?\nAnswer: 50000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = b - 1 - 7. Suppose b = l - 3. What is the tens digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*a - 2240 = -19*a. Is a <= -280?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x = -4*b - 8, 5*x - 9*x - 5*b - 28 = 0. Put -3, -6, x, -5 in descending order.\nAnswer: x, -3, -5, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000012608 rounded to 5 decimal places?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 203, 407, 611, 815?\nAnswer: 1019","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 18 - 17. Which is greater: 2\/5 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-26)\/52*(1 + 4\/2).\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/(-10))\/(((-112)\/(-40))\/(-2))*98\/(-147).\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*i + 3*i - 7*i + (i - 4*i + i)*(4 - 3 + 1 + (-4 + 7 + 2)*(1 + 5 - 4)).\nAnswer: -26*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -598 + 1044. Find the third derivative of 446*w**3 - o*w**3 - 135*w**6 + 128*w**2 wrt w.\nAnswer: -16200*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 11 and 264?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -130 + -5?\nAnswer: -135","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18*i**3 - 7 + 17*i**3 + 0 + 49*i**3.\nAnswer: 84*i**3 - 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 575 and 1025?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-68 - 88 - 2*o**3 + 40)*(2*o - 2*o + o).\nAnswer: -2*o**4 - 116*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence moo when three letters picked without replacement from omooomoomooommomoo?\nAnswer: 11\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 2) in base 14?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:29 PM and 9:52 PM?\nAnswer: 443","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 466524182?\nAnswer: 2, 137, 1702643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -21*m - 6. Let n be p(-2). Let y(g) = n - 32 + 0*g - g. Let c(i) = -i. Give c(y(v)).\nAnswer: v - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2 and -11.49.\nAnswer: 22.98","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of f**3 - 2*f*g**2 + 19*f*k**2 + 5*g**2 + g*k**2 - 2*g*k wrt f?\nAnswer: 3*f**2 - 2*g**2 + 19*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.565277 millilitres in litres?\nAnswer: 0.009565277","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(475))*-2 + sqrt(228)\/(5*(sqrt(12) + (sqrt(36)\/sqrt(3) - sqrt(12)))) + (2*(sqrt(76)\/sqrt(16) + sqrt(684) + sqrt(684)*-1)*2)**2.\nAnswer: -49*sqrt(19)\/5 + 78","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -o**3 + 6*o**2 - 7*o + 6. Let y be q(4). Let l be (20\/(-6))\/((-4)\/(-6)). Let x = y + l. List the prime factors of x.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*s - 80 = 4*x, 0 = -2*s - 6002*x + 6001*x - 15 for s.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = n + 5. Give t(-17).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -10.17 to 1 dp.\nAnswer: -10.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 21? (a) -0.3 (b) 3769\/3 (c) -1 (d) 0.051\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 4\/2*3\/6\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 186 minutes before 6:37 AM?\nAnswer: 3:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(396) + sqrt(396) + -3 + sqrt(396))*2 + (sqrt(396) - (4*sqrt(396) + 0)))**2 + -1 + -4 + 5.\nAnswer: -216*sqrt(11) + 3600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (15*z - 15*z - 40*z)*(0*z + 5*z - 2*z) + 5*z**2 + 8*z**2 - 6*z**2 in the form o*z**2 + k + m*z and give o.\nAnswer: -113","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 8.71 or -4\/5?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -r**3 + 7*r**2 + 11*r - 67. Let v be c(7). Solve 22*x + v = 25*x + 4*a, 4*x - a = 7 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 647 minutes after 9:58 AM?\nAnswer: 8:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r - r - 40 = -5*l, -5*l = r - 22. Let z be (1 + 0)*((-10)\/(-200))\/(9\/180). Which is the nearest to 9\/4? (a) z (b) -1\/7 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*c - 2*c + 35 = 125. Let o(z) = 17*z - 7. Let k(d) = -9*d + 4. Let u(m) = 11*k(m) + 6*o(m). What is u(c)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z = -5*z + 10055. Let t(b) = 5*b**2 - 8*b - 10. Let f be t(13). Suppose -z + f = 4*r. What is r rounded to the nearest 100?\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3 - -1. Let j = -23 + 17. Let s be 0*(-4 - 21\/j). Solve s = u - v for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 14, 23, 44, 83, 146, 239, 368, 539?\nAnswer: 758","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 86142 is divided by 10?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -181270 to the nearest one thousand.\nAnswer: -181000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 42 is divided by 7?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -357.85 + 358. Let r = -154 - -154.1. Let o = 0.6 + -0.1. What is the nearest to r in -2, v, o?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -687 = -2*b - 3*b + 2*u, -2*b + 2*u + 270 = 0. Does 25 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is nine tenths of a decade in years?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-66)\/(-96)*8 + -3?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-15 - -17) + (1 - 1) + 83 + 5.\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -2*l**2 - 7*l + 35. Let j be u(-6). Solve -j*t - 18 = t for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -95*51\/405 + (-11)\/((-55)\/60).\nAnswer: 1\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 7*v**2 + 2*v. Suppose 0 = -5*c + f + 11 + 8, 4*c - 2*f - 20 = 0. Let l(b) = -3*b**2 + 5*b**2 + 6*b - 3*b + 6*b**2. Give c*p(w) - 2*l(w).\nAnswer: 5*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -113\/11050 and 35\/18926?\nAnswer: 104566150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 323, 325, 329, 335, 343, 353, 365?\n\"Answer: y**2 - y + 323","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -3.3266*-129\nAnswer: 429.1314","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1 and 7922.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*w = 4*w - 12 - 68 for w.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 158103 to the power of 1\/6, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 147990*h**4*s + 4*h**3*s + 10186*s + 64 wrt h?\nAnswer: 591960*h**3*s + 12*h**2*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -159 + 206 - (27 + 2).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 2100?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.3971323682 to 5 dps.\nAnswer: 0.39713","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**33*j)**(-8\/11)\/((j*j**(-3\/8))\/(j**(-26)*j)) assuming j is positive.\nAnswer: j**(-4431\/88)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -o. Let r(l) = -4054*l**2 - 388*l. What is j(r(z))?\nAnswer: 4054*z**2 + 388*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -34 + (10 - ((-16 - (-2 + -11)) + -3 + 8))?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1586 a multiple of 46?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 101 minutes before 7:27 AM?\nAnswer: 5:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32*g - 2*g - 526 - 374 = 0 for g.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (5 - 2 - 2)*(-4*b**2 + 0*b**2 + 2*b**2)*(-6 + 4*b + 6) in the form q*b**3 + m*b + y + j*b**2 and give q.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) be the second derivative of n**7\/252 + n**6\/45 + n**5\/20 + n**4\/18 + n**3\/36 + 13*n. Factor w(g).\nAnswer: g*(g + 1)**4\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 3*x**3 + 79*x**2 - 53*x + 29. Let i be y(-27). Sort i, 4, 0.0122 in decreasing order.\nAnswer: 4, i, 0.0122","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4 in 8\/17, -14, -27, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -l + 4. Let k be x(8). Let q be -6*((-4)\/10)\/(10\/(-25)). Sort q, 4, k in descending order.\nAnswer: 4, k, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/(68\/85 + 6\/(-10))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + sqrt(7) + sqrt(28) + -2 - (-5*-1*sqrt(448))**2.\nAnswer: -11200 + 3*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(49)\/(sqrt(35)\/sqrt(5)) + (-5*sqrt(175))**2.\nAnswer: sqrt(7) + 4375","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 84 is divided by 11.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 39.13 - 9336?\nAnswer: -9296.87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 58944 + -58710.213. Let d = k + -234. Round d to 2 decimal places.\nAnswer: -0.21","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + 2 + (-2 - (6 + -4)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -11197.1 - -11719. What is y rounded to the nearest ten?\nAnswer: 520","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-180*5\/(-70))\/(2\/7)?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 7\/4 of a millennium?\nAnswer: 21000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 179675*g = 179688*g + 338 for g.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bbbwwbbbbbbbbwbbbww. Give prob of picking 2 b.\nAnswer: 91\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 2961236 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) be the first derivative of -d**3\/3 + d - 2. Let c(f) be the first derivative of b(f). Let q(w) = 2*w - 4*w + 5*w - w. Determine c(q(r)).\nAnswer: -4*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00004040156 to 6 dps.\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3 + 4. Sort -3, n, 5, -12 in ascending order.\nAnswer: -12, -3, n, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -g**2 - g - 1. Suppose -j - 1 = -3. Suppose 5 = j*a + 3*a + i, -i - 11 = -3*a. Suppose a*k + 0*k = -4. What is c(k)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2.4 - 1405795.\nAnswer: -1405792.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r**(1\/4)\/r)**27)**34)**14 assuming r is positive.\nAnswer: r**(-9639)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1695*n - 9*n**3 - 2*n**3 + 1695*n.\nAnswer: -11*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1.9 + -3.18. Let f = 0.08 + q. Which is the third biggest value? (a) 0.4 (b) 1\/10 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*a = -a. Suppose w + 3*g - 9 - 12 = a, -65 = -5*w + 5*g. Does 10 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -d**6 + 10*d**4 + 108*d**2 - 5*d**6 + 115*d**2 - 239*d**2 wrt d?\nAnswer: -720*d**3 + 240*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -163 - -169. Let o be (6 - i)\/(2 + 0). Solve -s + 7*s = o for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 t and 1 m when three letters picked without replacement from ttttmmtmmmtt.\nAnswer: 21\/44","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 3 + 3*m - 4*m**2 + 4 + 1. Let x(i) = -4*i**2 + 2*i + 7. Let s(c) = 6*j(c) - 7*x(c). List the prime factors of s(4).\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 63653 rounded to the nearest 100000?\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5594 + -5510 + -1 + -107.\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -324 + 779. Suppose 6*z + q = 9*z - 273, u = 5*z - 2*q. What is the highest common factor of z and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 465684.\nAnswer: 2, 3, 151, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -2021, -1931, -1805, -1661, -1517, -1391, -1301?\n\"Answer: -3*t**3 + 36*t**2 + 3*t - 2057","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 240 = -4*o. Let i be (-4)\/(-18) + o\/(-180). Solve i = -t + 1 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 0 - -3*(-3)\/12. Let u be 10\/4*(0 + -2). What is the biggest value in -3, i, u?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r = -5*z + 5, -2*r + 1 + 10 = 3*z. Sort 1, 5, 4, r in descending order.\nAnswer: r, 5, 4, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 146.6392 millilitres in litres?\nAnswer: 0.1466392","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*t - 10*t = 10*t - 1023. Solve 4*x - 2*q + 18 = 0, 4*x - 4*q - q = -t for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3558 - 3561. Which is the third biggest value? (a) 16\/53 (b) h (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -l + 0*l + 6933 - 20915 + 6991 + 6991 - 154*l**2.\nAnswer: -154*l**2 - l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 146 - 171. Let y = 25.3 + g. What is the second smallest value in -28, y, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 3 - 1)*(-2406*w**2 - 1530*w + 1203*w**2 + 1204*w**2).\nAnswer: -3*w**2 + 4590*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -3*q**2 + 9*q - 6. Let u = -1 - -6. Let x(j) = -7*j**2 + 17*j - 12. Let a(y) = u*n(y) - 2*x(y). What is a(8)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 32 - 19. Let l = a - 1. Suppose 3 = 3*f - l. Let h(b) = b**2 - 5*b + 5. Calculate h(f).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1\/2*n**2 + 1\/4*n**3 + 0 + 1\/4*n.\nAnswer: n*(n + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -57018\/77 - -8136\/11. What is the nearest to -8 in 5, h, 2, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -82*o + 62 = 68*o - 152*o - 2*n, o + 32*n + 62 = 0 for o.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 3460*r**2 - 6903*r**2 - 7 + 3456*r**2 + 9.\nAnswer: 13*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.3 (b) -2 (c) 0.5 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*o, 2*o - o = 3*y - 15. Suppose c = -3*x + 35 + 311, -3*x - y*c + 338 = 0. List the prime factors of x.\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28 = -4*n - 2*c, 50 = 7*n - 2*n - 5*c. What is the units digit of 102\/n - (-7)\/28?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -29 - -26. Let n(u) = -10 + u**2 + 0*u**2 + 12 - 2*u. Is n(p) a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w - 4*h + 97 = -187, -w - 5*h = -79. Let n(f) = -f**3 + 3*f**2 + 2*f + 2. What is the remainder when w is divided by n(-2)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16160?\nAnswer: 2, 5, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ktkkdtttkklt. What is prob of picking 1 l and 1 t?\nAnswer: 5\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 259 and 721?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(2057) - (2 + sqrt(2057) + sqrt(2057))**2 - (-4*(sqrt(425))**2 + sqrt(17) - sqrt(17)).\nAnswer: -6532 - 77*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 598288 is divided by 33237?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 29632651 to the power of 1\/4, to the nearest integer?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in thirty-two fifths of a tonne?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1471204.\nAnswer: 2, 7, 52543","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -2*k**2 + k. Let d be n(1). Let c = 2 + d. Is -1 + c + 21 - 2 a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -609970304 - -16665\nAnswer: -609953639","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -3, 4, 23, 60, 121, 212, 339, 508?\n\"Answer: u**3 - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 33*l**3 + 5*l - 6. Let w(f) = -49*f**3 - 7*f + 9. Let n(g) = -g**2 - 86*g - 1555. Let r be n(-60). Determine r*w(s) + 7*m(s).\nAnswer: -14*s**3 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 565157 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(484) + sqrt(484) + 3*sqrt(484) + sqrt(484))*3)\/((sqrt(80)\/(sqrt(8)\/sqrt(2)))\/(sqrt(90) - (sqrt(90)*-2 - sqrt(90)))).\nAnswer: -9504*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -376802 (base 15) in base 3?\nAnswer: -11222212100202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -32 divided by -1?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*j - 20 = 13. Suppose 4*x = 4*m + 51336, j*m - 25643 = -2*x - 0*m. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -y**2 - 117*y + 1002. Let u be v(8). Let m(j) = -j**3 + 3*j**2 - 3*j + 5. Determine m(u).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 18\/137 or -1?\nAnswer: 18\/137","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(1\/4))**(-50))**(10\/11) assuming j is positive.\nAnswer: j**(-125\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 22076 is divided by 80.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 30391059 to the power of 1\/8, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 506 and 1702?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -914*h + 616 wrt h?\nAnswer: -914","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 26\/1061 or 0?\nAnswer: 26\/1061","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1430267, 1430288, 1430309?\nAnswer: 1430330","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -t**2 + 14*t - 7. What is h(13)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -105896 divided by -14.\nAnswer: 7564","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 9067308, 9067327, 9067346, 9067365?\nAnswer: 9067384","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kdlddliqiqii. What is prob of sequence ikq?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 112730?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) be the first derivative of 11*b**7\/840 + b**5\/12 - 11*b**3\/3 + 2. Let p(m) be the third derivative of n(m). Find the second derivative of p(g) wrt g.\nAnswer: 66*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cccvvnhvvnviv. Give prob of sequence ic.\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*k**5*n**2 + 1245*k**4*n**2 + 2*k**2*n**2 + 2*k**2 - 67 wrt k.\nAnswer: 180*k**2*n**2 + 29880*k*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -30, -216, -2, 0, -54, 2 in descending order.\nAnswer: 2, 0, -2, -30, -54, -216","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1156 + 1180. What is the remainder when 36 is divided by u?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 13) in base 14?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.024282 to one decimal place.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = -4*b + 3*i, -2*b + 5*i = b - 16. Suppose -5*a - 160 = -b*s, a - s = -a - 63. List the prime factors of 3\/((-3)\/a) - 0.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 = -5*n, -28*g + 9*n + 430 = -4*n + 8*n for g.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -58*s + 238. Solve 2*d - s = 0, -5*k = -k + d + 6 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 divided by 3084413.\nAnswer: 9\/3084413","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 4*a**2. Let h(j) = 427*j**2 + 9. Determine h(m(u)).\nAnswer: 6832*u**4 + 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -599*a - 81*a = 2037*a - 411*a + 76098 for a.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -46779075*u + 16684720 wrt u?\nAnswer: -46779075","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) be the first derivative of 21 + 0*o**4 + 0*o**2 - 3*o + 13\/3*o**3 + 176\/5*o**5. What is the third derivative of k(r) wrt r?\nAnswer: 4224*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 5*y = -6*g + 27, 0 = 4*y + 4. Suppose 3*x - 900000 = g*x. What is x rounded to the nearest one hundred thousand?\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*z**2 - 1 + 1)*((0*z + z + z)*(-1 + 0 - 1) + 2 - 2 + z + 2710 - 2710 + 19*z + z + 0*z - 3*z).\nAnswer: 28*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32 + 5 = -a. What is the remainder when a is divided by 10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*k**4 - 5*k**4 + 4*k**4 + 2*k + k**4 - 2*k + 3*k**4 + 0*k**4 - k**4 + (-2*k**4 + 0 + 0)*(1 - 1 - 1) + 2*k**4 + k**4 - 2*k**4)*(-k + 0*k + 0*k).\nAnswer: -11*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 373658569 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (15\/(-40))\/(-3*1\/(-2))?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/9 in -3, 3, -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -505 (base 14) in base 12?\nAnswer: -6a1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -430 (base 6) to base 8.\nAnswer: -242","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (-3 + -4 + sqrt(48)\/sqrt(6))**2 + 0.\nAnswer: -28*sqrt(2) + 60","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4545 is divided by 315.\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1854, 0, -5675, -20, -2 in ascending order.\nAnswer: -5675, -1854, -20, -2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -5.28701441 rounded to four dps?\nAnswer: -5.287","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 109090?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 64905 and 399975?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a + 5 = b, b - 2*a - 9 = -4*a for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 8 + 5 + -4 + 95\/(-15). Factor -r*o - 2\/3*o**4 + 4\/3*o**3 + 2*o**2 - 8\/3.\nAnswer: -2*(o - 2)**2*(o + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (sqrt(567) + (sqrt(567) + 0)*1 - (5 + sqrt(567) + (sqrt(567) + 1 - sqrt(567)) + sqrt(567)))**2.\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -r**3 - 7*r**2 + 6*r - 1. Let c be n(-8). Suppose -3*h = -8*h + c. Suppose -y = y - x - h, 3*y + 4*x + 12 = 0. Which is smaller: -2\/83 or y?\nAnswer: -2\/83","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -177\/5 - -179\/5. Determine s, given that -2\/5*s + 4\/5*s**2 - o = 0.\nAnswer: -1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 418728.8 nanometers to meters.\nAnswer: 0.0004187288","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(45)\/(-1*sqrt(9) - sqrt(9)) - (sqrt(5) + sqrt(5) + sqrt(5)*1 + 3))**2.\nAnswer: 21*sqrt(5) + 281\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -217, -297, -377?\nAnswer: -457","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 53*d - 200 = 43*d. Solve 17*q + d = 12*q for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -4*m**3. Let w be (-1)\/(2\/(-6)) + 27. Suppose -w + 25 = 5*p. What is k(p)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, -5, -4, 4, -12 in ascending order.\nAnswer: -12, -9, -5, -4, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1590006*m*t**2 + 3324158*m*t + 241*t**3 + 99*t wrt t.\nAnswer: 3180012*m + 1446*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = d**2 + 17*d - 3. Calculate s(-18).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 83 a factor of 318910153?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 2*x. Let r(n) be the third derivative of -41*n**6\/360 - n**3\/6 + 22*n**2. Let y(b) be the first derivative of r(b). What is z(y(u))?\nAnswer: -82*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -16060736.3 rounded to the nearest 1000000?\nAnswer: -16000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o = -2*k, 3*o - 7 = 2*k - 0*k for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 8, -1\/4, -0.00859, 12\/13, -1\/2?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 320 divide 30080?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1 - 1. Suppose -4*o + 44 = 2*f - x, 24 = 2*o + 2*f. What are the prime factors of (-1)\/(1 + o\/(-8))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-8)\/10)\/((-5)\/100*4). Let v(q) = -q + 5. Let f be v(w). Which is the biggest value? (a) -6 (b) -1 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:40 AM and 10:46 AM?\nAnswer: 186","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 15 = -0*z, -z - 13 = 2*r. Let g = -5 - r. Find the third derivative of 2*y**3 - y**3 - 4*y**2 - g*y**3 - y**3 wrt y.\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11440 a multiple of 110?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(190) - (sqrt(190) - -1*sqrt(190)))*-6 - (sqrt(190) + -1*sqrt(190)*-4 + sqrt(190)))*-2)\/(sqrt(160) + -3*sqrt(160) - 4*sqrt(10)*2).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -5 - -2626?\nAnswer: 2621","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 144 and (20\/(-25) - 0) + 8844\/55.\nAnswer: 1440","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 30*n**4 - 8*n**4 + 2*n**4 + (2*n**4 + 0 + 0)*(2 - 7 - 1).\nAnswer: 12*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 60657 - -343916. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-16368)\/(-10) + (-1 - -4)\/15. Let x(m) = 364*m - 15. Let y be x(-7). Let r = v - y. What is r rounded to the nearest 1000?\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/2 in 0.3, 5, -1321?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -32*n**2 - 1152*n - 12. Determine t(-36).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 5940 a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-2))**(-19)*n*n**(1\/6)*(n*n**0*n)\/n*n\/n**0*(n**(-2)\/n)\/n*(n\/(n*n**0))**40 assuming n is positive.\nAnswer: n**(223\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from arruubarurbbuuu. Give prob of sequence abu.\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-111)\/27*-1 + -10*12\/30.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(19) + 1 + sqrt(95)\/sqrt(5) - ((0 + sqrt(1900))**2 + sqrt(19)).\nAnswer: -1899 + sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 7338 - 3653. Suppose 3*y - i = 2*t, 0 = -5*y + t + 8940 - 2796. What is the units digit of y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 - 3 + 2)*(s**3 + s**2 - s**2) - 2*s**3 + 0*s + 0*s + 15*s**3 + 3*s**3 + 29*s**3 - s**3 - 5*s + 5*s to n*s + y*s**3 + u*s**2 + h and give y.\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-6)\/9*((1 - 0) + -2). Which is the closest to g? (a) -0.5 (b) 3 (c) -2\/31\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 652.\nAnswer: 2, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -14 - -20 - (-3 + 9)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 56\/(-8)*6\/(-105)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -105713*t + 6*t**2 + 105597*t - 2*t**2 in the form f + z*t + u*t**2 and give z.\nAnswer: -116","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 6809 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 13839\/(-4830) - ((-3534)\/(-95) - 40)?\nAnswer: -3\/46","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 79 = 28*y - 257. Solve -4*o = -3*z + 14, 4*z - 3*o - y = o for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = f**2 + 9*f - 7. Let k be o(-6). Let x = 34 + k. What is the remainder when 33 is divided by x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k**(-1\/15))**(8\/3) assuming k is positive.\nAnswer: k**(112\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -4, 370936, -0.08?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 50848773353 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 = 4*m + 1. Suppose -4*a + 2*a + 98 = 0. Suppose -5 = m*u, -6*l + 2*l = -u - a. Does 10 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (w**4 + 0*w**4 - 3*w**4)*(-256 + 164 - 445 + (-4 + 2 + 3)*(-2 - 2 + 3)).\nAnswer: 1076*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 83 is divided by 83.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 + 1 - 427*f**2 + 553*f**2 to c + s*f**2 + j*f and give s.\nAnswer: 126","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3213487.\nAnswer: 37, 86851","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*q - q + 6. Let f = 0.029 - -0.471. Which is the third smallest value? (a) f (b) -3\/2 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w = 5*h - 44, 2*h + 3*h - 23 = 4*w. Suppose 24 = 2*p - 2*f, h*p - 20 = 4*p - f. Suppose -u + p = -0*u. What is the units digit of u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 27 = 7. Suppose 0 = -2*s + 4, 3*c = s + 4 + 15. What is the lowest common multiple of 7 and 3\/21 - m\/c?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 4\/(-18) + (-4)\/(-18). Suppose -5*c + 3*c = 6. Let b be (-1 - c)*(2 + w). Solve -13 - 3 = -b*v for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 183362904?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1 (b) -36\/5 (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 5, -13, -51, -5, 11 in descending order.\nAnswer: 11, 5, -1, -5, -13, -51","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 98 + -97.961. Let s = x - -2.961. Let y be (-40)\/91 - 22\/(-143). Which is the third biggest value? (a) 2\/9 (b) y (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yyay when four letters picked without replacement from aaayaayyayyyy?\nAnswer: 21\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 1 c when two letters picked without replacement from {p: 3, m: 5, c: 1, y: 9}?\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -233 or 117715?\nAnswer: 117715","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1013006 and 750592.\nAnswer: 1466","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 3, 0, -128, -4\/9?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 19, 4, -15, -32, -41?\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 331580.\nAnswer: 2, 5, 59, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -231*h - 10. Let q be m(1). Let v = q - -348. What is the remainder when v is divided by 13?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fji when three letters picked without replacement from faaffzafffiifj?\nAnswer: 1\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 47 + -42. Solve l*n - 3 + 4 = j, -3*j + 4*n + 3 = 0 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*p = -5*p. Suppose -6 = -l - 3*w - 2, -5*l - 2*w + 59 = p. Let i(q) = -q**3 + 12*q**2 + 14*q + 9. Is i(l) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in 0.3, 11, 0?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x = 2*x + 48. List the prime factors of x.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 152 - 149. Is (-100)\/(-3)*(-5 - (-8 - n)) a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 64 + -19. Suppose -4*k - 13 = -4*p - a, 0 = -3*k - p + 28. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1475320 + 310927.\nAnswer: -1164393","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3232 + -3224. Solve -3*z = 2*a + 4, -2*z = -72*a + 68*a + r for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 124487.\nAnswer: 11, 11317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -699 (b) -2 (c) 2 (d) 1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 31, -1, 176 in decreasing order.\nAnswer: 176, 31, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d*d\/d**3)**(-47)\/((d**(-6)\/d)\/d**(-6)) assuming d is positive.\nAnswer: d","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 84867715 to the nearest integer?\nAnswer: 9212","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2\/3, -1587\/4, -56?\nAnswer: -56","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 222 a factor of 27306?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) be the second derivative of c**5\/20 - c**4\/12 - c**2\/2 + 6*c. Let o(b) = b**2 + 1. What is 2*f(s) + 2*o(s)?\nAnswer: 2*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of (-4708)\/(-36) + ((-188)\/(-36) - 5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -0.5 (b) -2\/13 (c) -4\/7 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -39*z - 14. Let f be (4\/6*6\/2)\/1. Let t be (f - -2)*(-15)\/20. Let k(o) = 19*o + 7. Let v(g) = t*m(g) - 7*k(g). Differentiate v(r) wrt r.\nAnswer: -16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5*-4.675.\nAnswer: 23.375","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 d when three letters picked without replacement from ddddddddd.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) be the first derivative of t**3\/3 + 3*t**2\/2 - 4*t + 1. Let j = 10 - -2. Let d = 9 - j. Give z(d).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 3*k**2 - 2*k + 16. Let g be (-1 + 3)*(-42)\/12. Is y(g) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, 13\/3, 1\/7, -1\/11, -17\/4 in descending order.\nAnswer: 13\/3, 1\/7, -1\/11, -17\/4, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w**2\/3 - 12314*w + 113725947 = 0. Calculate w.\nAnswer: 18471","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 6 = -4*p, 3*o = -4*p - 33. Let w(y) = -19*y + 2. Let c be w(2). Let k = o - c. Does 9 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r + 5*l + 3 = 0, -2*l = 3*r - 4 + 7. Let p = r - -3. Suppose h + p*h = 30. What is the units digit of h?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + 5*f = 4, -3*f = -3*l + f + 6. Suppose -q + l = -0. Solve -z**3 + 2*z**4 + q*z**3 - z**4 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-68)\/(-3) + -37 + (-36 - -52).\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 24 (b) 78 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 83\/6 - 14. What is the biggest value in -58, 1, a?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 46 + -67. Let q = p + -4.5. What is q rounded to 0 dps?\nAnswer: -26","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -c**2 + 4*c - 2. Let f be d(2). Suppose -f*s + 2 + 8 = y, 0 = 2*y - 4*s + 20. Solve -4*p + 4*h - 20 = 0, 2*h + h - 15 = y for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 61 = 2*s + 5. Let h = s - 17. Suppose -7*o + h*o = 12160000. What is o rounded to the nearest one hundred thousand?\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 333 divide 489138?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22760 = 16*a + 2936. Does 21 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 17*d - 2*d - 45 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(4 + -1 + sqrt(1008)*1 + sqrt(1008))**2.\nAnswer: 864*sqrt(7) + 24246","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wrir when four letters picked without replacement from {w: 1, i: 3, e: 5, r: 11}?\nAnswer: 11\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-143*l + 143*l + 14*l**2)*(3 - 2*l - 3)*(784*l + 73*l**2 + 56*l**2 - 127*l**2).\nAnswer: -56*l**5 - 21952*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 481 and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 35111520 (base 6) to base 10\nAnswer: 1082568","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 11 + -16. Let x = -19.6 - -9.5. Let y = 10 + x. Which is the third biggest value? (a) p (b) y (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - 2 = -0. Let r(y) = -y**2 - 2*y. Let i be r(q). Let g = i - 0. Solve 4*o - 2*o + 25 = -3*a, g = 3*o + 15 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 48520 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: In base 9, what is 1346 - 15352?\nAnswer: -14005","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 31c5 + -1?\nAnswer: 31c4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 694 = 3*n, -13*n + 2816 = 4*o - 9*n. Find the third derivative of -185*h**2 - 355*h**3 - 365*h**3 + o*h**3 - 2*h**4 wrt h.\nAnswer: -48*h - 66","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/1*14\/63)\/((-18)\/(-1)).\nAnswer: -1\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -583 - 16973 = 2*l + 31*l. Which is smaller: -533 or l?\nAnswer: -533","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*q**4 - 107*q**3 + 3*q**2 - 4239*q.\nAnswer: 36*q**2 - 642*q + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (18\/27)\/((-154)\/(-156) + -1). Let o = 114 + a. What are the prime factors of o?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 27, 0, 1\/64, -3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-17*u + 17*u - 5*u**4)*(-11 + 18 + 17)*(9 - 3*u - 8 + 4*u).\nAnswer: -120*u**5 - 120*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -18 greater than or equal to -11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -t - 4*p + 3814 + 16915, t - 20753 = 4*p. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -267*n + 43 + 1226 = -896 + 563 for n.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = -0*q. Suppose -n = -q*n. Suppose -4*l - 4 = c + 8, 2*c = n. Sort 3, l, 5 in descending order.\nAnswer: 5, 3, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of d**3*k + 19*d**3 + 3*d**2*k - d*k - d + 3 wrt d?\nAnswer: 6*d*k + 114*d + 6*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -2 + 1 + f - 8 - 1. Let u = 29 + -18. Calculate the remainder when u is divided by a(15).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13543 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 21209, 42318, 63331, 84248, 105069, 125794?\n\"Answer: -48*o**2 + 21253*o + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3467606*g**2*k**5 + 35*g**2*k - 56240*k wrt k?\nAnswer: -69352120*g**2*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 7732075 and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Add together -4.524 and -1670748.\nAnswer: -1670752.524","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 56*w**3 + 3*w**2 + 3*w**2 - 102*w**3 + 2*w + 48*w**3 + 5. Let c(o) = 4*o**3 + 11*o**2 + 4*o + 9. Give -11*a(z) + 6*c(z).\nAnswer: 2*z**3 + 2*z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.080774896 to three dps.\nAnswer: -0.081","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -2*m**2 + 7*m - 3. Let t(f) = f**2 + 14*f - 22. Let u be t(-15). Let b be k(u). Does 13 divide (22\/(-55))\/(1\/b)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2397, 9584, 21557, 38310, 59837, 86132?\nAnswer: 117189","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (0 + -15)*9\/(-81)*3. Let n(p) = -p**3 + 21*p**2 - 21*p + 22. Let l = 29 + -9. Let v be n(l). Put -3, j, v, -1 in descending order.\nAnswer: j, v, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 0\/(-1)*1\/(-1). Let g(x) = -x**3 - x**2 + x + 412. Let u be g(a). Is 17 a factor of u\/6 - 4\/6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + sqrt(1573) + -5 + 3.\nAnswer: -2 + 11*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 372430.\nAnswer: 2, 5, 37243","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 663 minutes before 12:21 AM?\nAnswer: 1:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = j**3 + 8*j**2 + 2*j - 14. What is g(1)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = d - 22 - 149. Let z = -8 + d. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (13038 + 4*q**2 - 6*q**2 - 13035)*(3*q + q - q)*(3*q - q - 3*q) as m + o*q**4 + v*q**2 + p*q**3 + b*q and give o.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 7\/(-35) + (-1353)\/(-15). Let j = q + 22. Suppose 6*k - j = 44. What is the tens digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 21*y + 149. Let k be w(-7). Suppose 13938 = 25*c - k*c. What is the units digit of c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -b**2. Suppose -4*u = -906 + 906. Let a(x) be the third derivative of 0*x**4 + 0*x**3 + u*x + 3*x**2 + 0 - 1\/12*x**5. What is a(f(g))?\nAnswer: -5*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:41 PM and 3:22 PM?\nAnswer: 101","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fuxl when four letters picked without replacement from {x: 2, l: 1, y: 6, f: 2, k: 1, u: 3}?\nAnswer: 1\/2730","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 144*x**3 - 42. Let j(d) be the third derivative of 17*d**6\/120 - 5*d**3\/6 + d**2 - d - 656. Calculate 5*a(v) - 42*j(v).\nAnswer: 6*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -10 - -4. Let h = 3 + o. Let c(f) = -7*f**3 - 2*f - 5. Let z(n) = -4*n**3 - n - 3. Let q(s) = h*c(s) + 5*z(s). Find the second derivative of q(k) wrt k.\nAnswer: 6*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a and 2 i when four letters picked without replacement from aaaiiaaaaaai.\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -31.276 - -0.276. Which is the closest to 1\/3? (a) 0.3 (b) -1 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cc when two letters picked without replacement from {r: 9, c: 10}?\nAnswer: 5\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 9, 0.4, -0.2, -0.4.\nAnswer: -2, -0.4, -0.2, 0.4, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -4 + (-16*1)\/(-4). Differentiate d*n - 2*n + n + 4 with respect to n.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = y + 89. Let g be v(0). Suppose 5*o = 4*f - g - 45, 6 = -3*o. Let a = f - -22. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.3, 1, -0.4, 19615, 6?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k + 12 = 0, -2*k - 2 = 2*y - 0 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -3043, -6879, -10715, -14551, -18387, -22223?\n\"Answer: -3836*s + 793","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 21587 a multiple of 137?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (sqrt(12)\/(sqrt(18)\/sqrt(3)*3))**2 + 0.\nAnswer: 20\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(152)*-1*-1 - sqrt(152)))\/(sqrt(32)\/(-1*sqrt(4))*3).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -o**3 - 6*o**2 - 6*o - 3. Let w be b(-5). Suppose -w - 46 = -4*l. Does 14 divide 16\/10*150\/l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 14 + -4. Let j(d) = -d + h*d - 6*d - 15 + 0*d. Let z be j(6). Solve 0 = -b + f + 7, -2 = -5*b - z*f + 9 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h when two letters picked without replacement from zhzzhzzhzzhhzz.\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) be the second derivative of -u**5\/10 - 11*u**4\/12 - 17*u**3\/6 - 3*u**2 - 31*u. Find v, given that i(v) = 0.\nAnswer: -3, -2, -1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -7.9 + -1.1. Which is the nearest to -2? (a) -0.1 (b) 0.4 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/17? (a) -5.2 (b) -2 (c) 0.01\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 3, c: 1, j: 2, e: 7, k: 7}. Give prob of sequence js.\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -4, 2, -680 in decreasing order.\nAnswer: 2, -4, -5, -680","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7*l + 14 + 5*l + 10*l - 22*l + 7*l to the form m + v*l and give m.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 6*a**3 + a**2 + 3. List the prime factors of o(3).\nAnswer: 2, 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 16*j + 5*a + 64, 4*j + 3*a - 104 = -120 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -37706175*h*w**2 + 55*h*w - 5*h - 6*w**2 + 2*w + 51510 wrt w?\nAnswer: -75412350*h - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 5*z. Let k be h(2). Let m = 16 - k. Suppose 0 = -m*b + 11*b - 20. Solve -b*a = -8*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1281 is divided by 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 244938086 to the power of 1\/3, to the nearest integer?\nAnswer: 626","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 65 divide 552691?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 = -134*x + 136*x - 4*n, -3*x - 2 = -n for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -3*r - 5*j, -2*j = -5*r - 8 - 13. Let z(p) = 23*p**2 - 3*p + 3. Let k be z(r). Let q = -17 + k. What are the prime factors of q?\nAnswer: 2, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 177759 and 177760 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 902 + -899. Is 67\/22 smaller than o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2614 is divided by 867?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 9299150?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 257 - 143. List the prime factors of i.\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*k*m*v**3 - 221*k*m + 172*k - m*v + 26*v**3 wrt m.\nAnswer: 2*k*v**3 - 221*k - v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 times -18\nAnswer: -7.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(448)*-3*2 + (sqrt(448) + -1*sqrt(448) + 2 - 5*2*sqrt(448)) + -4)**2.\nAnswer: 1088*sqrt(7) + 517892","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 8 + -7.9. Let r = -3 - -2.9. Which is the closest to h? (a) -5 (b) r (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6419671.\nAnswer: 6419671","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(156) + -5*-1*sqrt(156) - sqrt(156))\/(sqrt(12)*-2*-1))**2.\nAnswer: 325\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2.3 + 1.2. Let k = -1.1 - d. Let h = -11 + 10.8. Which is the second biggest value? (a) k (b) h (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -n - n + 0*n + (n + 6*n - 4*n)*(2 + 2 - 2) + 21 + 8*n - 21 in the form o + h*n and give h.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 24347 or -48?\nAnswer: 24347","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1167, -4661, -10447, -18495, -28775, -41257, -55911, -72707?\nAnswer: -91615","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2826 and 1746.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20 + 14 + -35 + 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 5*b**2 - 6*b + 10. Let f(j) = j**2 - j + 2. Let m = -45 + 43. Suppose 0 = 2*o + 6, 340*r - 3*o = 343*r - 24. Determine m*t(a) + r*f(a).\nAnswer: a**2 + a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 6*i = -125521, -215*i = 4*q - 212*i - 100409. Does 36 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 247 - 94 - 152 + f**3. Let t(q) = 8*q**3 + 4*q**2 + 6. What is 6*r(l) - t(l)?\nAnswer: -2*l**3 - 4*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) be the second derivative of 0*h**4 + 0*h**5 + 0*h**3 + 0 - 29*h + 17\/15*h**6 - 9*h**2. What is the derivative of j(g) wrt g?\nAnswer: 136*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/11 or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (38 - -33) + -38 - 46?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -503*g**4 + 3*g**3 - 70*g**2 + 13 wrt g?\nAnswer: -12072*g + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32 = 3*v - 4*i, -4*v - 3*i + 20 = -6. Solve 0 = 4*b - 6*b - v for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of ((-327)\/(-36))\/(1\/2) and (-2)\/12*-1*-49.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -163814.88 to the nearest 1000.\nAnswer: -164000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 6488464602 to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 3, m: 2, x: 4, o: 2}. Give prob of picking 1 z and 1 x.\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 1011 (base 2) to base 3\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 5*o - 2 = 0. Let l be 0 + -4*o\/2 + 4. Suppose t - 252 = 3*p, 3*p + 282 = t + l*p. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -6*c**3 + 2*c**2 + 3*c + 2. Let s be n(-2). Suppose 0 = -f + 5*h - s, h + 156 = -0*f - 5*f. Let z = f + 19. Round z to 0 decimal places.\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 4*v**2 - 70*v + 62. Let y(u) = 2*u**2 - 33*u + 33. What is 3*n(a) - 5*y(a)?\nAnswer: 2*a**2 - 45*a + 21","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 6 (base 7) to base 15\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26 + 26 = 10*o. Solve -g = 5*j + 1, -j + g = -o + 5 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 34*o**2 + 29*o**2 + 30*o**2 - 85*o**2 + 25917.\nAnswer: 8*o**2 + 25917","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 35 + -30. Suppose -21 = -2*a + 3*q, a + q + 4*q + 22 = 0. Suppose 26 = -2*r - f*s + 394, a*s = 3*r - 531. Is 40 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 33 - -130. What is the units digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -465 - 51*t**2 - 469 + 27*t**2 + 1174 - 240.\nAnswer: -24*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20 = -8*d + 13*d for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.2363 (b) -2 (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -1*1*(-4)\/28. Let g = -90 - -83. What is the second biggest value in g, l, 4?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(187)*2 - sqrt(187)*-1*-6)*5)\/(-4*5*(sqrt(1584) + 1*sqrt(1584))) + -2.\nAnswer: -2 + sqrt(17)\/48","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8725?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 27*o + 62. Let p(l) = 1835*l**2. What is c(p(n))?\nAnswer: 49545*n**2 + 62","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 144998, 289998, 434998?\n\"Answer: 145000*z - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 351, 224, 85, -6, 11?\nAnswer: 196","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v**4\/11 + 206*v**3\/11 - 3560*v**2\/11 - 66696*v\/11 - 20448 = 0. Calculate v.\nAnswer: -6, 44, 71","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z = -m + 84 - 87, 4*z - 4 = 2*m for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -o**3 - 17*o**2 + 17*o - 14. Let l = 18 + -5. Suppose l = 2*t + 11. Calculate the remainder when w(-18) is divided by t.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 171 minutes after 6:31 AM?\nAnswer: 9:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 697 minutes before 2:37 PM?\nAnswer: 3:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*m - m = 3*w + 8, -8 = 3*m - 5*w. What is the least common multiple of 32 and m?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1)\/((-23)\/(-552))*2*1\/(-44). Sort -3, r, 2, 2\/15 in increasing order.\nAnswer: -3, 2\/15, r, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2*0.079\nAnswer: -0.158","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 15817531?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 33 + 52 = -5*g, 3*g + 15 = 0. Suppose y*s = 25 + 5. Solve 0 = -3*h + 17 - s for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h - x = -6, -4639*x + 4644*x = 5*h + 10 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -68 + 255. Calculate the greatest common divisor of 44 and k.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u = -i - 9*u - 7, -3*i = 3*u - 39. Let q be 2 + (-1*(-125)\/(-1) - -3). Let h be q\/i*(-1 + 39\/(-15)). What is the greatest common factor of 32 and h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 129?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 2 + 0)*(-1 + 2*h**2 + 1) - 4*h**2 + h**2 + h**2 - h**2 + h**2 + 2*h**2 + (4*h - h - h)*(0*h + 3*h - 6*h) + h**2 + 0*h**2 + 0*h**2.\nAnswer: -h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*q - q - q + 0*q - 2*q + 0*q + (2 - 3 + 0)*(-3*q + 4*q + 0*q) - 46305*q - 62763*q - 35380*q + 21841*q + 3144*q in the form p*q + m and give p.\nAnswer: -119464","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-36)\/(-14) + (-15)\/(-35). Suppose 2*o = f*u - 559 + 59, 162 = u - 3*o. What is the units digit of u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-1589)\/(-252) + -6)\/(11\/(-44))\nAnswer: -11\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/181 greater than or equal to -4444?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*f + 5*d - 249, -5*f - 25*d = f - 38*d + 643 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 59 is divided by -5*(-2)\/(-5)*42\/(-4).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1.33 in -0.2, 2, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -109 (b) -0.02 (c) -1 (d) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b + 2*v + 32 = 0, -5*b + v - 29 = -0*b. Let j(m) = -m**3 - 7*m**2 - 7*m - 3. Let n be j(b). Suppose n*l - 18 = 54. Is l a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 286 + -264. Suppose 0 = 17*h - 6*h - s. Factor 2\/5*t + 0 + 2\/5*t**h.\nAnswer: 2*t*(t + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -n**2 - 28*n - 104. Let w be q(-22). What is the third derivative of 2*r**2 - 12686*r**4 + w - 7*r**6 + 0*r**2 - 4*r**5 + 12686*r**4 wrt r?\nAnswer: -840*r**3 - 240*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 8.0455 and 8 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*c + 12*h + 20 = 0, -4*h + 849 = -5*c + 829 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 756 and 108?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -d - 4*b - 2 - 16, 3*d - 3*b = 6. Let g(o) = -o**2 - o + 3. Let k be g(d). Differentiate -7 + k - 1 - 3 + 7*x with respect to x.\nAnswer: 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -1\/6 (b) -3 (c) 10\/9 (d) 0.3 (e) 73 (f) -2\/7 (g) -6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 710 minutes before 4:40 AM?\nAnswer: 4:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 38236 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: -44814980 divided by -2240749\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 88*s - 2856 = 32*s. Put -4, 4, -3, s in descending order.\nAnswer: s, 4, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 985304 to the nearest integer?\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vq when two letters picked without replacement from qzvvss?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 4177051 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 2*q**3 - q**2 + 4*q - 1037. Let z be k(0). Is z >= -1037?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 1 - 1)*(4 + 6*i - 4)*(3*i + 2*i**2 - 3*i).\nAnswer: 24*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 73\/861572 and -1\/204?\nAnswer: 43940172","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jjjttj. Give prob of picking 2 t.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 13770?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2)\/(-12) + 73\/(-6). Let p = 11 + c. Calculate the remainder when 169 is divided by (-12)\/36*(-128 + p).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -689 = -8*u + 367. Is 12 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5416 - 5415. Sort -4, 14, i, 12, 2.\nAnswer: -4, i, 2, 12, 14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + -3 + (((1 + sqrt(175))*2)**2 - (sqrt(175) - (sqrt(175) + -2)*-3 - sqrt(175) - sqrt(175))**2).\nAnswer: -34 + 160*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16 = -10*a + 6*a for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3852341 by 106.\nAnswer: -3852341\/106","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 592646.\nAnswer: 2, 53, 5591","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 6 + 18 = 0. What is the greatest common divisor of 60 and j?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/(j\/j**1))\/j**(2\/9))\/(j**0)**17 assuming j is positive.\nAnswer: j**(7\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 31\/11 - (-420)\/2310. Which is the third biggest value? (a) -3\/2 (b) -0.545 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4897*v + 3628 + 1628*v + 1630*v + 1637*v in the form r + c*v and give r.\nAnswer: 3628","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 81 + -74. Let i(k) = 7*k - 9 - 4 - 1. What are the prime factors of i(m)?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1, -2925, -4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = w**2 + 4*w - 110. Suppose 10575*l - 10576*l = 13. Determine s(l).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -30 + 18 + (-36 - -44)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -143*a**3 + 18*a - 61 wrt a?\nAnswer: -858*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) be the first derivative of j**3\/3 - 5*j**2\/2 + 8*j - 2. Is k(6) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -26 + 12. Let w be 2\/((-15)\/(-20) + (-602)\/824). Suppose 114 - w = -j. Is j greater than or equal to x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2459927 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - k + 112 = 2*k, -2*b + 108 = 2*k. Suppose -4*s - 6 = -b. Suppose 0 = -3*f + s*f - 80. Does 4 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(459)*4)\/(sqrt(384)\/sqrt(2)).\nAnswer: 3*sqrt(17)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -107 + 54. Let c = 88 + f. Suppose -g + j + 14 = 4, -4*g - j = -c. Does 9 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 5986625416 to the nearest integer?\nAnswer: 1816","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 - 20 + 1 - 1)*(-9*i + 24*i - 12*i + 28) to the form d*i + o and give o.\nAnswer: -560","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3350 and 675?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 107 minutes before 4:36 PM?\nAnswer: 2:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 345*s**2 + 3*s - 5. Give o(1).\nAnswer: 343","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -83, -90, -105, -128?\n\"Answer: -4*c**2 + 5*c - 84","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 326, 683, 1040, 1397, 1754, 2111?\nAnswer: 2468","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 5.2709 - -0.0991. What is b rounded to one decimal place?\nAnswer: 5.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7431 to the nearest integer?\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 191293 or 191311?\nAnswer: 191311","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 2, d: 9, y: 5}. Give prob of picking 4 y.\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3580 and 72?\nAnswer: 64440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 315 a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1538 is divided by 88?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 9 - 4. Suppose p = -p + 3*s, r*s = -2*p. Put p, -1, -3 in decreasing order.\nAnswer: p, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 23490 divided by -54.\nAnswer: -435","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 + 2*q**2 + 3 - 2*q**3 + 0 - 6*q**2 + 6*q**2 + q**3 + (-1 + 1 + 2*q)*(2*q**2 - 2 + 2) to w*q**3 + u + s*q**2 + d*q and give w.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -4*b, 2*m - 18*b + 21*b - 15 = 0. Which is bigger: m or -52\/157?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9142 is divided by 139.\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -91*b**4 + 211 wrt b.\nAnswer: -364*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2221\/156641 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -262*o**3 + 8*o**2 + 2. Let c(h) = -87*h**3 + 3*h**2 + 1. Calculate 8*c(p) - 3*r(p).\nAnswer: 90*p**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -2541006 (base 7) in base 6?\nAnswer: -11020250","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5 + -2. Let b = -26.05 - -0.05. Let s = 24 + b. What is the second biggest value in k, -5, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 804*l*n**2 - 938*l*n + 29600680*l + 3*n**2 with respect to n.\nAnswer: 1608*l*n - 938*l + 6*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = r**2 + 20*r + 29. Let g be x(-21). Suppose -13*l = -15*l + g. Solve -2*w = 3*w - l for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1087363?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is c in 3*c**5\/4 - 149*c**4\/4 + 1427*c**3\/4 - 739*c**2\/4 - 715*c\/2 + 222 = 0?\nAnswer: -1, 2\/3, 1, 12, 37","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:20 AM and 9:51 PM?\nAnswer: 691","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-12*l**3 + 212*l**2 - 2 - 2*l - 212*l**2)*(l + 0*l - 2*l) to q*l + u*l**2 + y*l**4 + i + v*l**3 and give u.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2299 and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 129.221 + -0.221. Let h = 129.251 - y. Round h to 2 dps.\nAnswer: 0.25","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 j when four letters picked without replacement from jjjj?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 1 - 5)*(22 - 40 + 23)*(3*c - 1 - 1 - 2*c).\nAnswer: -10*c + 20","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 79*n - 204*n - 177400 = -1112525. What is the units digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor r**3\/8 - 995*r**2 - 2154427*r\/8 + 1081193\/4.\nAnswer: (r - 8222)*(r - 1)*(r + 263)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*t**4 + 2*t**4 + 3*t**4 + (-t - 4 + 4)*(-t**2 - 2*t**3 + t**2) - 2 + 2 + t**4)*(-94*t - 157*t + 290*t).\nAnswer: 195*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**18*o*o\/o**(-1)*o)\/((o*o*o**(-10\/9))\/o*o**9*o))**45 assuming o is positive.\nAnswer: o**545","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -297\/26 - -90\/13. Let p = 1.543 + -1.143. What is the closest to -1 in 4, p, l?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vlag when four letters picked without replacement from llvoovlovgovlooa.\nAnswer: 1\/2730","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 821868793 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4846\/10505 - 115\/573. Let l = i - 2\/33. Factor -1\/5*s**3 + 3\/5*s**2 - 3\/5*s + l.\nAnswer: -(s - 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 9) to base 4\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 26*y**4 - 63*y**2 wrt y?\nAnswer: 624*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 107599 - 107586. Let y(o) = 58*o + 10. Let l be y(7). What is the highest common factor of f and l?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -3*f + 7. Let q be p(-3). Suppose -3*s - s + q = 0. Let z be 2\/5 - (-8)\/(-30). Which is the closest to -2\/9? (a) 0.1 (b) z (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3763 (base 12) to base 14\nAnswer: 23d9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3\/2*p**2 + 5\/6*p**4 - 2*p**3 + 0 - 1\/3*p = 0 for p.\nAnswer: 0, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 13598 and 151670?\nAnswer: 1046","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1301 to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 173 - 109 = 16*r for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (62\/4)\/(32*(-170)\/(-13056)*(-3)\/(-5))?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 106938 divided by -26\nAnswer: -4113","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 155 = 5*w, 72*w + 158 = 77*w + 2*a. Put -6, w, 18 in descending order.\nAnswer: w, 18, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 261 - 265. Let k be (-6 - -4) + 3 + -1. Let j(s) = -s - 7. Let x be j(k). Which is greater: h or x?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = -2*o + 12 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 125944 and 5096.\nAnswer: 881608","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1679848 take away 0.009?\nAnswer: 1679847.991","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -12b746 (base 12) in base 5?\nAnswer: -34412444","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or -2949027\/4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) be the third derivative of -u**7\/420 + u**6\/90 + 3*u**4\/2 + 3*u**3\/2 - 50*u**2. Let s(l) be the first derivative of t(l). Differentiate s(c) wrt c.\nAnswer: -6*c**2 + 8*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1279 is divided by 255.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -4678, -4791, -4998, -5299, -5694, -6183?\n\"Answer: -47*s**2 + 28*s - 4659","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: What is -59.67141516 minus -0.3?\nAnswer: -59.37141516","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -2*f**2 - 14*f - 9. Let z be b(-6). Suppose -g - 1 = -z, -4*u = g - 590. What is the hundreds digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = p**3 - 68*p**2 + 2774*p - 56697. What is b(35)?\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 12 - 22 + 9 - 3*f + (0*f - 3*f + 4*f)*(2 + 2 - 5) + 0 - 2*f + 0.\nAnswer: -6*f - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 0.77, 0.3, -5, -2\/7, 2002, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 840739, -30, 1, 0, 2, -5 in increasing order.\nAnswer: -30, -5, 0, 1, 2, 840739","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -37\/2238 and 25\/8.\nAnswer: 8952","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 370 and 1095465?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -5.4 - -5.1. Which is the second smallest value? (a) 4 (b) p (c) -2\/17 (d) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -8*r**3 - 13*r**2 + 13. Let v(o) be the third derivative of -o**6\/30 - o**5\/10 + o**3 - o**2 - 546. Give -6*d(u) + 13*v(u).\nAnswer: -4*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 652 - 734. Find the common denominator of (f\/(-6) - 5)*(-1)\/61 and 34\/21.\nAnswer: 1281","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + -3 - 4 - (-24 + 25).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -5*z**2 + 4*z + 5. Let m(x) = -9*x**2 + 9*x + 9. Determine -5*a(p) + 3*m(p).\nAnswer: -2*p**2 + 7*p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((9\/6)\/3)\/((-1)\/(-2)) + 3?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 44007667 and 11001?\nAnswer: 3667","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3\/223 - 5777\/1561. What is the common denominator of 12\/7 and z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 98302906 is divided by 1207?\nAnswer: 1205","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) be the first derivative of -o**3\/3 + 7*o**2\/2 - 4*o - 18. Let u be v(6). Solve 0 = u*a + s + 1, 5*a + 0*s + 19 = 3*s for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0679350538 to two dps.\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 1\/16 of a kilogram?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -40387.2 rounded to the nearest one thousand?\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000031288 rounded to seven dps?\nAnswer: -0.0000031","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**0*z**5*z*z**(-1\/6)*(z*z**(-3\/5))\/z*(z\/(z**(5\/6)*z)*z*z**(2\/5))\/(z\/(((((z*z\/((z**(1\/4)\/z)\/z))\/z*z*z)\/z)\/z*z)\/z))**35 assuming z is positive.\nAnswer: z**(1341\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2, -6, 1\/13, 3\/2, 1\/5?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-seven fifths of a millennium in years?\nAnswer: 7400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 31047?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 0.12 + -12.9\nAnswer: -12.78","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 10*s**2 - 32*s + 251. Let q be l(12). Suppose -18*r = -15847 - q. What are the prime factors of r?\nAnswer: 953","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 790768 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-2)\/20)\/(10\/40). What is the nearest to -1 in 2, f, 3\/5?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 4*r**3 + 272*r**2 - 7363*r - 28427. Calculate w(-88).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 115278*q**3*s**5 - q**3*s + q**2*s - 777*q - 2*s**5 - 15*s wrt s?\nAnswer: 2305560*q**3*s**3 - 40*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -0*u + 2*u, x - 3*u + 4 = 0. Let g be 2 + x*(1 + -2). Factor -2\/7*w**3 + 0*w**2 + 0 + 2\/7*w**4 + g*w.\nAnswer: 2*w**3*(w - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 27\/((-243)\/(-2070)) - 6. Calculate the highest common divisor of x and 304.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) be the first derivative of 1\/4*r**4 + 3*r + 0*r**2 - 1 + 0*r**3. Differentiate w(h) wrt h.\nAnswer: 3*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 6*o - 1. Let z(d) = -12*d + 2. Give -5*x(w) - 3*z(w).\nAnswer: 6*w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -7640*m + 37715. What is t(5)?\nAnswer: -485","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3237.998166 + 3238. What is l rounded to 4 decimal places?\nAnswer: 0.0018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4275 is divided by 1417.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -fe7 (base 16) to base 7.\nAnswer: -14604","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c when two letters picked without replacement from {c: 7}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 10110000 rounded to the nearest 100000?\nAnswer: 10100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -83 + 82. What is the nearest to c in 1\/3, 1\/2, -4\/3?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-7)\/35 - (-181)\/5. Let m be v\/(-270)*(-5)\/(-4). Which is the nearest to -1\/2? (a) m (b) -0.4 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-7 + 0 - 19)*(4*u**2 + u**2 - 7*u**2 + (4 - 4 + 2*u)*(0*u - u + 0*u)) as q*u**2 + f*u + y and give q.\nAnswer: 104","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(-4\/7)\/(((l\/(l**(-4\/3)*l)*l)\/l)\/l) assuming l is positive.\nAnswer: l**(-19\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = y**3 + y**2 + 11*y + 19. What is the remainder when f(6) is divided by 26?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -26133*r**2 + 13204*r**2 + 13121*r**2 - 2*r**3 as p*r + n*r**2 + h*r**3 + x and give n.\nAnswer: 192","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -17aa12 (base 11) in base 10?\nAnswer: -278071","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 52, 99, 140, 175?\n\"Answer: -3*f**2 + 56*f - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 2*x = 18. Let i = x - -22. What is the units digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a**4\/13 + 12860*a**3\/13 - 89944*a**2\/13 + 141316*a\/13 - 64230\/13 = 0 for a.\nAnswer: 1, 5, 6423","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 37\/72540 and 63\/1364.\nAnswer: 797940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1565915341 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -23 - -23. Suppose 3*y + 9 = 0, -2*f - y + 7 = -i*y. Suppose 3*t + c - 136 = 71, -3*t = f*c - 195. Is 14 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*v = 5*v. Suppose -3*q + 326 - 38 = v. Let o be (-3 - -2)*q\/(-4). What is the highest common divisor of 60 and o?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) be the first derivative of a**3\/3 + 3*a**2\/2 + 3*a + 4. Let s be l(-4). Let i = s + -5. Calculate the smallest common multiple of i and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - 2 - 2) + 2?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((w\/(w*w*(w*(((w**43\/w)\/w)\/w)\/w*w)\/w*w))\/w)\/(w\/w**(-25)))**(1\/36))**(1\/11))**(2\/57) assuming w is positive.\nAnswer: w**(-23\/3762)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*((g*g**(-3\/7)*g*g)\/g)\/g)\/(g**(-5)*g)*(g**(-1\/3))**(-2\/143) assuming g is positive.\nAnswer: g**(16745\/3003)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 235 (base 6) to base 7\nAnswer: 164","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -b**3 + 3*b**2 + 78*b + 9. Determine r(11).\nAnswer: -101","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -533*h - 55050 = -2368*h for h.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -8.96 - 0.04. Let o = w - -10. What is the biggest value in 0, o, -1\/2?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*x - 7 = -20*x + 3*v, 7 = x + 2*v. Solve -2*q = 3*d + 19, -x*d = -0*q - q + 23 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 270*z**3 + z + 38 wrt z.\nAnswer: 1620*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -9 + 4*w - 6*w + 3*w - 4*w. What is s(-6)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 5*b**2. Suppose 2*v - 4*n = -2, -5*n - 10 = -4*v - 4*n. Let o(k) = -6*k**2 + k + 1. Determine v*i(q) + 2*o(q).\nAnswer: 3*q**2 + 2*q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(80)*1 - ((sqrt(55)\/(sqrt(44)\/sqrt(4)))**2 - (-3 + sqrt(20) - sqrt(5)))) + 5.\nAnswer: -3 + 5*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*c**3 - 140*c**2 - 4*c + 140.\nAnswer: 4*(c - 35)*(c - 1)*(c + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 165441168.\nAnswer: 2, 3, 79, 14543","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 68618?\nAnswer: 2, 11, 3119","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 2059526632?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -5.552 + 0.562. Let w = -4.9406 - p. What is w rounded to 2 decimal places?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 63?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*a - 237 = -55. Solve -5*t = l + 25 - a, -5*t = -4*l + 28 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(5 + (6*(sqrt(1053) + -1) - (-2 + sqrt(1053) + 0 + sqrt(1053))) - -4*(0 + -5 + 0 + sqrt(1053)))**2.\nAnswer: -8208*sqrt(13) + 203259","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 24100 is divided by 5993.\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23 = -4*i - 7 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 29 + -29.045. Let o = -2.955 + v. Let h = -69 + 343\/5. What is the third smallest value in h, o, -1?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*a**3 + 14*a**2 - 14*a + 4.\nAnswer: -2*(a - 2)*(a - 1)*(2*a - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3 - -2 - -3) + -1 - 5?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 6 - (-1 - (-8)\/8). Solve -2*c + 0*c = -f for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6326079*-2\nAnswer: 12652158","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(33)*1)\/(2*sqrt(11)*3).\nAnswer: -sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 554 + 560 - 1114 + 3*v. Let g(x) = -758*x**2. Calculate g(t(k)).\nAnswer: -6822*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) be the second derivative of 3*b**3\/2 - 15*b**2\/2 - b. Let x(r) = 5*r - 8. Let u = -15 + 26. Let v = u + -5. What is v*z(m) - 11*x(m)?\nAnswer: -m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2\/(4\/3)*46. Let x be ((-18)\/(-27))\/(1\/m). Let z(l) = -l**3 + 14*l**2 - 7*l - 9. Let s be z(13). Calculate the greatest common factor of x and s.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 5\/3531 or -1?\nAnswer: 5\/3531","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -3*o**2 + 0*o**2 + 7*o**2 + 8*o**2. Let f(i) = -i. What is f(r(k))?\nAnswer: -12*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 3*w + 4*w - 9*w**2 + w**3 - 2 - w. Suppose -f - 3*f + 36 = 0. What is the units digit of r(f)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -1. Let q(b) = -b - 4. Let y(f) = 4*p(f) + q(f). Suppose -3*s + 82 = -56. Suppose -2*a - 5*x + 39 = -0*x, 5*x - s = -3*a. What is y(a)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 - 253*j - 251*j + 2 + 39*j + 463*j.\nAnswer: -2*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by -2233\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.4 (b) 0.1078 (c) -1\/7 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 12425?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 49\/21080 and 17\/8.\nAnswer: 21080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 161 - 160. Let i(u) = u**2. Let f(s) = -2*s - 3. What is k*f(o) + i(o)?\nAnswer: o**2 - 2*o - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1512 is divided by 19?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = h**3 - 14*h**2 + 15*h - 10. Let c = 19 + -6. Let t be r(c). Differentiate 4 - 3 - 4 - t*n**3 with respect to n.\nAnswer: -48*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9 - 12 + 4 + 988*x**3 - 11 + 10.\nAnswer: 988*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -o**2 + o + 5. Let n be y(0). What is the second derivative of -5*h**3 - 2*h + h**3 + 2*h**3 + n*h**3 wrt h?\nAnswer: 18*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-9\/4)*h*(h**(2\/17)*h)\/h*h)\/(h**34\/h**(-2\/9)) assuming h is positive.\nAnswer: h**(-21025\/612)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -p - 82 + 159 - 79 - 936*p**3 as z*p**2 + x*p + n*p**3 + q and give q.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**19\/(((v\/v**(-13))\/v)\/v) assuming v is positive.\nAnswer: v**7","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**0\/a)\/a)**(-18\/11)*a*a\/a**(4\/7)*a**(3\/8) assuming a is positive.\nAnswer: a**(3127\/616)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1 - -7. Let c = -13 + u. Let g = 13 + c. Round g to zero decimal places.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of -3 - ((-18)\/3 + 2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -6 and -430?\nAnswer: 2580","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -12170 - -12330. What is the remainder when i is divided by 27?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -60 + 141. Let r be (-10)\/6*(-1140)\/100. Suppose r*b - 2800 = -16*b. Which is smaller: b or s?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 370 - 220. Suppose 6*n - y = n. What are the prime factors of n?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -55226 by -1042.\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 6*y**2 - 8*y + 9. Let x be d(-7). Let f = 818 - x. Suppose f - 1919 = -4*k. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -1316, -4824, -10710, -18974?\n\"Answer: -1189*q**2 + 59*q - 186","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 + 3 + (1 + 1 - 1)*(2 - 2 + 2) + 1 + 1 + 0)*(-5*d + 4*d + 3*d).\nAnswer: 14*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ff when two letters picked without replacement from {f: 9, y: 7}?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -129, -259, -389, -519?\n\"Answer: -130*z + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*n = -4*n + 8. Let v = -530 - -525. What is the second smallest value in v, -0.3, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-28)\/(-35))\/((-1)\/20). Let y be (-2)\/5*40\/n. Calculate the highest common factor of 1 and y.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hfrkfuhfkkkfrkg. What is prob of picking 1 k and 2 f?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -3*k**2*y*z**2 - 40*k**2*z**2 - k*s*z + s*y*z**3 - 2*s*y - 2*s*z**3 wrt y?\nAnswer: -3*k**2*z**2 + s*z**3 - 2*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 5 + 114?\nAnswer: 123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -87 or -130663\/1519?\nAnswer: -130663\/1519","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r - 4 = f - 0, 5 = -r - 4*f for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.5073 and 0.129.\nAnswer: -0.3783","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 77 and 30877?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 3.086137 to zero decimal places.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -283, -93, 681, 2045, 4005, 6567, 9737?\n\"Answer: m**3 + 286*m**2 - 675*m + 105","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -49\/48 and 28\/5?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 + 2 = k. Let s(t) = t**2 + 7*t + 9. Let j be s(-6). Sort j, k, -5 in decreasing order.\nAnswer: k, j, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 392 and 14945.\nAnswer: 119560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -5, 0, -11, 5, -57887 in increasing order.\nAnswer: -57887, -11, -5, -2, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 2*o**2 - 9*o + 6. What is s(5)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4 by -23059.\nAnswer: -4\/23059","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -64 + -10.\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -249069*c**4 - 2*c**3 - 43211 wrt c?\nAnswer: -996276*c**3 - 6*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(70) + sqrt(70) + -3*-2*sqrt(70)))\/(sqrt(160) + sqrt(160) + (sqrt(160) - (sqrt(160) - 2*sqrt(160) - sqrt(160))*-6) - sqrt(160)).\nAnswer: -2*sqrt(7)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Are 243726 and 243726 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 36041 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 3 (b) 2 (c) 1000 (d) -7336\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*u**3 - 4116*u**2 + 1289484*u + 85645728.\nAnswer: 3*(u - 714)**2*(u + 56)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(-3 + 2*sqrt(2)) + 1 - ((sqrt(8) + sqrt(40)\/sqrt(5))*-1)\/sqrt(4)*-4.\nAnswer: -17 + 4*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/(-4)*(-4)\/(-3)*-1.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -17904000 rounded to the nearest one million?\nAnswer: -18000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(117) + 3))**2 + -2 + (sqrt(1053) + -1)**2.\nAnswer: 432*sqrt(13) + 4202","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2163?\nAnswer: 3, 7, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 32 + -34. Let z = -0.2186 - -0.5186. What is the third smallest value in z, -0.4, b, -1\/9?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*y - 144402 = -144606 for y.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*i**2 - i**2 - 6 + i**2 - 6.\nAnswer: -4*i**2 - 12","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 504 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -63544349.18 to the nearest 100000.\nAnswer: -63500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/15 of a week in minutes?\nAnswer: 672","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11114 is divided by 247?\nAnswer: 246","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 27 - 11 = 0. Suppose -6*m + 8*m - g = 0. Suppose m*j = -j + v + 57, 42 = 2*j - 2*v. Solve 6 = -4*q + 2*b, 3*q + 5*b = 2*b - j for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 0.55, -3\/5, 136, 1\/3, 15.\nAnswer: -3\/5, 1\/3, 0.55, 1, 15, 136","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -78 - 21*k + 78.\nAnswer: -21*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 30\/4*2\/12. Let m(y) = -y**3 - 5*y**2 - 6*y - 5. Let n be m(-4). Suppose -d + n = 4*l, 2*l + 3*d - 2 = -3*l. What is the smallest value in 4, l, z?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*j**4\/2 - 1293*j**3\/4 - 645*j**2\/4.\nAnswer: -3*j**2*(j + 215)*(2*j + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g + 4 = 4*a - 8*g, 4*a + 24 = -3*g for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) be the first derivative of 13*c**6\/120 - 11*c**4\/24 - 4*c**2 - 4. Let i(p) be the second derivative of z(p). Find the second derivative of i(s) wrt s.\nAnswer: 78*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from urkur. Give prob of picking 1 k and 1 r.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 94*g + 1433*g - 1553*g.\nAnswer: -26*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uuc when three letters picked without replacement from {s: 1, v: 1, c: 2, u: 5}?\nAnswer: 5\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is v in 2*v**3\/11 + 44606*v**2\/11 - 10973168*v\/11 + 671179096\/11 = 0?\nAnswer: -22547, 122","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 2, p: 1, s: 1}. What is prob of picking 1 s and 1 r?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-37 + 2 - 33)*(4*z**2 - 6*z**2 + 4*z**2)*(13*z - 20 + 16 - 17*z).\nAnswer: 544*z**3 + 544*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -2*x + 7. Let t(g) = 139*g - 1232. Determine i(t(b)).\nAnswer: -278*b + 2471","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5 + 8. Suppose -n*w = 0, -4*w - w + 210 = 5*c. Suppose -c = -k - 0*k. Is k a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2 + 2 + x**3 + 852*x**3 + 115*x**3 + 864*x**3 + x**3 + x**3 + 0*x**3 + (-4 + 3 + 2)*(x**3 - 1 + 1).\nAnswer: 1835*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) be the first derivative of p**4\/6 + 86*p**3\/45 + 112*p**2\/15 + 184*p\/15 - 110. Factor o(r).\nAnswer: 2*(r + 2)**2*(5*r + 23)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven fifths of a decade in years?\nAnswer: 54","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 1, -11, -1.\nAnswer: -11, -1, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1068, -10, 687, -1.\nAnswer: -10, -1, 687, 1068","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2\/1137 + -3421\/5685. Let l = 4 + -8. Suppose 5*c + 3*n + 10 = 6*n, -4*c - 8 = -2*n. Sort c, l, z in descending order.\nAnswer: z, c, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-6)\/182)\/((-2)\/7))\/(60\/16)?\nAnswer: 2\/65","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -288*w**2 - 342*w**2 - 278*w**2 + 913*w**2.\nAnswer: 5*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 61, 0.5, -0.06, -26\/3223, -2\/19?\nAnswer: 61","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -5*r - 5. Let q(d) = -11*d - 11. Let z(v) = 9*f(v) - 4*q(v). Let b = 0 + 1. Let k(t) = -4 + 8*t**2 - 7*t - 7*t**2 - 3*t**2. Give b*k(w) - 6*z(w).\nAnswer: -2*w**2 - w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 31, -4, 1, 129, -5, -84 in descending order.\nAnswer: 129, 31, 1, -4, -5, -84","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 9101667073 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m = -4*h - m + 690, -3*m - 9 = 0. Suppose -3*p - 4*t + 257 = 0, 5*p + 2*t = h + 276. Let d(c) = c**2 + 91 - p. Let q(w) = -3*w**2. Calculate q(d(g)).\nAnswer: -3*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is nineteen quarters of a second in milliseconds?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 897?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -36*1653\/(-6264)*(-24)\/(-5624).\nAnswer: 3\/74","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 36 and 9612?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 93463 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 8891 and 85.\nAnswer: 44455","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (m**2 + 2*m**2 + 3*m**2)*(-4*m + m + 4*m + (3*m - 7*m - 12*m)*(1 + 0 - 3)).\nAnswer: 198*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 38783093 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 20*14\/392*-21\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -k**2 - 8*k + 1. Let w be x(-8). Let o be (3 + w)*(-33)\/(-44). Suppose h + 2*h = -o, -22603 = 5*s + 3*h. Round s to the nearest 1000.\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 203 - 117. Solve 5*b + 91 = l for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 12*a**3 + 223*a**2 - 5704*a?\nAnswer: 72*a + 446","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*s + 3*s = 16404. Let i = -19196\/7 - s. Calculate the common denominator of i and 2\/(-7) + 2945\/(-2310).\nAnswer: 462","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-145)\/10 - -4)\/(1\/(-2)). Find the second derivative of 124*w**4 - 6*w - 125*w**4 - g*w**5 + 2*w + 10*w**5 - 9 wrt w.\nAnswer: -220*w**3 - 12*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + sqrt(243) + (sqrt(243) + 1 - sqrt(243)) + sqrt(243) + sqrt(243)*-1 + 4 - (1*sqrt(147) + 4 + (sqrt(27) - sqrt(3))))**2.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 - 24\/40) + 6\/15.\nAnswer: -11\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4? (a) -3 (b) -2\/7 (c) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -127*c + 1032 = 2*c for c.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 118 = -5*y, 0*p + y + 110 = 4*p. Suppose 9*m - 33 = -2*m. Calculate the remainder when p is divided by m.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1 + 0)\/(5\/(-20))\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -6*r - 7. Calculate c(7).\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2\/23, 3.941, 2\/13, 2\/11, 2, 58, 5?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(2\/5))**(-9)\/(t**(-1\/3)*t**0*t))\/((t**(-1\/2)*t**(-2\/7)\/t)\/(t**(-1\/6)*t**(2\/5)\/t)) assuming t is positive.\nAnswer: t**(-341\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*i - 4*i + i)*(6126*i**2 - 1180*i**2 + 5826*i**2 + 3401*i**2).\nAnswer: -42519*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*o**3 + 94008852*o**2 + 552353968892940*o - 552354062901796 = 0. Calculate o.\nAnswer: -11751107, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -4*r + 10. Let n be u(9). Let a = 29 + n. Suppose 0 = -a*h - 11 + 116. Solve 3*w + 2*l = 17, -3*w - 5*l + h - 15 = 0 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 4 (b) -24 (c) 0.12 (d) -1 (e) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5409.1 years to months.\nAnswer: 64909.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 10625 - 411?\nAnswer: 10214","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 313 minutes before 10:24 AM?\nAnswer: 5:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a - 2*k - 36 = -9*a, 3*a - 4*k = 16. Suppose -5*s - a + 236 = q, 4*q - 843 = 3*s. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2304 is divided by 460.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) be the second derivative of -n**3\/3 + 11*n. Let z(p) = -5*p**2 - 2*p - 2. Let a(b) = -6*b**2 - 3*b - 3. Let w(k) = 6*a(k) - 9*z(k). Calculate l(w(d)).\nAnswer: -18*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -106 + 116. Let v(t) = -y*t + 30*t + 2 - 10*t - 9*t. What is v(-3)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 74*k**2 + 2. Let i(d) = 2*d - 40. Let s(g) = -4. Let b(r) = i(r) - 10*s(r). Determine b(h(a)).\nAnswer: 148*a**2 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 14? (a) -28 (b) -1\/5 (c) -6\/5 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101000111000011111 + -111?\nAnswer: -101000111000100110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -147, -150, -153, -156?\nAnswer: -159","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r**5 + 13776*r**4 - 11984352*r**3 + 211973192*r**2 - 597651996*r - 821623320 = 0 for r.\nAnswer: -1, 5, 14, 1713","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 230?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 8 - 11. Let h = 2 + k. Which is smaller: h or 2\/11?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q when two letters picked without replacement from {p: 2, q: 17}.\nAnswer: 136\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 2, g: 7, u: 2, r: 1}. What is prob of sequence rug?\nAnswer: 7\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out -6122745 + 94.\nAnswer: -6122651","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 33136 to the nearest integer?\nAnswer: 182","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 16 + 1 = 0. Suppose -h*d + 2*w - 15 = -w, 0 = -2*w + 10. Factor d + 2\/5*q + 6\/5*q**3 + 8\/5*q**2.\nAnswer: 2*q*(q + 1)*(3*q + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 16 = f, 3*f = -r + 3*r - 20. Suppose 0 = 2*d + 5*a - 13, -a + 2 + 9 = d. What is the smallest common multiple of d and r?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 382462 is divided by 37730?\nAnswer: 5162","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -60, -66, -76, -90, -108, -130, -156?\n\"Answer: -2*o**2 - 58","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -2*a + 1. Let j = a + 1. Let p(r) = 4*r**j - 4*r**2 - r**2. Let u(o) = o. Calculate p(u(z)).\nAnswer: -z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide 196 by -1.\nAnswer: -196","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 41\/7 + (96\/56)\/(-2). Solve -4*t = -n + 4*n + 8, n - p*t = 10 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 81103611107 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1198 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (76\/(-931))\/((-1)\/(-7)). What is the closest to v in -2\/5, -8.8, -3\/2?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) be the first derivative of -23\/3*j**3 - 3\/2*j**2 - 78 + 39*j. Differentiate z(v) with respect to v.\nAnswer: -46*v - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 252*v - 106*v + 1 - 90*v - 59*v - 1.\nAnswer: -3*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 12, -4, -2, 1 in decreasing order.\nAnswer: 12, 1, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (-7 + 13 - 9) + 5\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 10311374 and 3152.\nAnswer: 394","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 51\/8 of a tonne in kilograms?\nAnswer: 6375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y - 6*k = -2*k + 508, 4*k - 20 = 0. Let a = y - -139. Solve -2*z + 3 = -a for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 54*t + 12*t + 7707 = -1510 + 439 for t.\nAnswer: -133","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 - 30 = 4*u. Suppose 0 = -2*l + 4 - u. Solve -r = 3*r - 12, 19 = l*y + 3*r for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 52350 and 1055612.\nAnswer: 1107962","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide -685 by 84.\nAnswer: -685\/84","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 58575479 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = q**3 + 13*q**2 - q - 16. Calculate t(-13).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 11300 and 39434740?\nAnswer: 2260","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3858825 and 972.\nAnswer: 1250259300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2685 divided by 26.\nAnswer: -2685\/26","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 10 + -9.65. Let l = -17977.750076 + 17977.4. Let w = l + x. What is w rounded to 5 dps?\nAnswer: -0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10827 to the power of 1\/2, to the nearest integer?\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 23.663 + -23.6630013656. Round h to 7 decimal places.\nAnswer: -0.0000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m = 6424 + 1235. List the prime factors of m.\nAnswer: 3, 23, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 5 + 23 = 0. Calculate the remainder when 5628\/54 - 22\/99 is divided by h.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.777, 2, -4, -4\/7, -0.05.\nAnswer: -4, -0.777, -4\/7, -0.05, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-70)\/((-6)\/3 - -1). Is 14 a factor of p\/4*(-9 - -11)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 36*q + 49*q - 425 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*a**4 + 4*a**4 - 2*a**4)*(121 - 50 - 62) + (-15*a - 10*a + 9*a)*(0*a**2 - 2*a**3 + 0*a**2)*(6 - 14 + 13).\nAnswer: 151*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -599782284 - -599792463.220016. Let r = m - 10179. Let w = r - 0.22. Round w to six decimal places.\nAnswer: 0.000016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x*x*x**(1\/2)*x*x)**(-35\/4) assuming x is positive.\nAnswer: x**(-385\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -j + 3. Let u be a(5). Let v(r) = -r + 1. Let l be v(u). Let y(z) = -371*z**3 + 2*z**2 + z - 4. Let b be y(l). Round b to the nearest 100000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2858*x - 4292*x - 4715*x as r*x + s and give r.\nAnswer: -6149","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -238 - -418. What is the greatest common factor of 18 and b?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2768, -22642, -76432, -181046, -353392, -610378?\nAnswer: -968912","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1212350 is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 540895 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 4 (b) 3 (c) 12\/49 (d) 19\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 238 = -5*n + 265, 2*n - 218 = 3*b. What is the remainder when n is divided by 49?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 13719462*h**3 - 49*h - 7745 wrt h?\nAnswer: 82316772*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 188, 1547, 5246, 12455, 24344, 42083?\nAnswer: 66842","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -382793551 divided by -133.\nAnswer: 2878147","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -26 - 22c02b?\nAnswer: -22c052","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 3*c. Let p be w(1). Suppose -y - 3 = p. Suppose 3*s = 0, s - 30 = 3*q - 132. Let i(f) = 23*f - 11. Let o(k) = 4*k - 2. What is q*o(g) + y*i(g)?\nAnswer: -2*g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -y**3 - 5*y - 6. Let u be p(-2). Suppose 25*z = 28*z - u. Solve 3*f - z*f + 5 = 0 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p**4\/9 - 38*p**3\/9 - 812*p**2\/9 - 688*p\/9 + 512\/3 = 0. Calculate p.\nAnswer: -12, -2, 1, 32","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + k + 7 - 16 = 0, -36 = -3*l + 6*k. Let t = -10 + 22. What is the lowest common multiple of t and l?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4 + 0. Let b be 1 - 4 - (84\/7 - 10). Suppose 2*j - 5*f + 6 + 5 = 0, -j - f + 5 = 0. Put u, b, j in ascending order.\nAnswer: b, j, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2162 to the power of 1\/2, to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = b**2 - 8*b + 2. Let d be p(8). Suppose i - 4 = 2*k, 2*k + 7*i - d*i = 20. Solve -2*v + 0*v = k for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 6712? (a) -4 (b) -0.3 (c) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*y - 12*y - y - 20*y.\nAnswer: -29*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(204) + (sqrt(204) - sqrt(204)*-2 - sqrt(204)) - sqrt(204))\/sqrt(12) + 2 + sqrt(170)\/(2*sqrt(640)).\nAnswer: 2 + 33*sqrt(17)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 80688*t**2 + 69864*t + 15123 = 0 for t.\nAnswer: -71\/164","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -9.99 (b) 1\/11 (c) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -86 - -89. Suppose -2*p = -z + 5, -y*p - 26 - 9 = 4*z. Let i be (9\/p)\/(5\/(-25)). Solve -12 - 3 = 5*r - 5*u, -r - 2*u - i = 0 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1\/(4\/12) - (-6)\/3. Find the third derivative of 13*o**2 + 2*o**2 - o**a - 16*o**5 wrt o.\nAnswer: -1020*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1367 or -17752\/13?\nAnswer: -1367","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yz when two letters picked without replacement from {r: 3, v: 1, z: 12, i: 2, y: 2}.\nAnswer: 6\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 358?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 4621 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -w**3 + 27*w**2 + 15*w - 5. Suppose -33*a + 39*a - 156 = 0. Is m(a) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -8397 - -8402. Sort -6, -5, 1, k in decreasing order.\nAnswer: k, 1, -5, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*o - 11*o + 622 = 2*q, -o + 310 = q. Suppose -w + q = 36. Is w a multiple of 68?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:19 PM and 7:51 PM?\nAnswer: 332","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 223*s + 0 + 0 + 925*s - 5867*s.\nAnswer: -4719*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 10, y: 10}. Give prob of picking 2 w and 1 y.\nAnswer: 15\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -78*j**2 - 2 + 14*j + 8*j - 19*j - 4*j to the form h*j + r*j**2 + v and give r.\nAnswer: -78","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 8428 + -8420. Suppose 2*a = -y - 4, -5*y - a = -6*y + 5. Solve -s = -y*f - 16 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 5*q - 54. Let h be (16\/q)\/(2\/6). Find the second derivative of -h*i - 8*i - 2*i - 2*i**5 - 4*i**5 wrt i.\nAnswer: -120*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n - 6*v = -v - 81525, -9*n = -5*v - 183415. What is the thousands digit of n?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 37*s**2 + 1. Suppose 0 = 5*q - 38 - 37. Calculate the remainder when m(-1) is divided by (q\/4)\/(6\/16).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 6*v**4 - 871068*v**3 - 6559745*v wrt v.\nAnswer: 72*v**2 - 5226408*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 5, 29, 61, 101, 149, 205, 269?\n\"Answer: 4*f**2 + 12*f - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 5054 + 2?\nAnswer: 5100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 26*b - 28. What is the tens digit of d(4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*n + 0 + 0)*(n**2 - n**2 - n**2) + (4*n + 4*n - n)*(-n - 2*n**2 + n) + n**3 - 5*n**3 + 2*n**3.\nAnswer: -13*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 8587 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 1\/13, 0, -392?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 40 - -10 - -3*1 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*q - 49*q - 136 = 296 for q.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 632*w - 635*w = 3*y - 273366, -5*w + 91150 = y. What is the tens digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 10849578 to the nearest integer?\nAnswer: 3294","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) be the first derivative of 0*n - 1\/4*n**4 + 0*n**2 - 3 - n**3. What is the third derivative of h(m) wrt m?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 158 + -142. Calculate the highest common divisor of 96 and n.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 765, 1326, 1705, 1908, 1941?\nAnswer: 1810","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g + 30 = 4*p - 5*p, 0 = -4*g - 5*p - 122 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*h + h + 0*h)*(-5*h**3 + h**2 - h**2) + 93*h**3 - 50*h**3 - 43*h**3 - 127*h**4.\nAnswer: -122*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 424 minutes before 1:36 AM?\nAnswer: 6:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 305 minutes before 1:04 PM?\nAnswer: 7:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in 0.77, -1, -3.625?\nAnswer: 0.77","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -20011111 (base 3) in base 16?\nAnswer: -118f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4*(-150)\/30?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -11252, -11253, -11262, -11279, -11304, -11337?\n\"Answer: -4*v**2 + 11*v - 11259","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find g, given that 4*g**4 + 576*g**3 + 21856*g**2 + 80640*g + 78400 = 0.\nAnswer: -70, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 2*t**2 + 8*t. Let h be z(-6). Suppose 3*m = 2*k - 17, 4*m + k + h = 4*k. What is the units digit of (-2)\/(-3) - 7\/m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -105 (b) -58 (c) -0.6 (d) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -27e - 28?\nAnswer: -2a6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 411.4423 meters to micrometers.\nAnswer: 411442300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -2216 + 205548?\nAnswer: 203332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 926 - 930. Sort 0.13, 9, q in descending order.\nAnswer: 9, 0.13, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 49 (b) -0.3 (c) -3\/7 (d) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express m + 3*m - 8*m + (-2 + 1 - 1)*(9*m - 35*m - 11*m) + 2*m - 2*m + m + (2*m - m - 2*m)*(-1 + 2 - 2) as p*m + i and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - (2 + -4) - (-404 + 404)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 7 - 7 - y + 5*y. Let h(f) = -4*f**2. What is t(h(p))?\nAnswer: -16*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express i**4 - 6*i**2 - 567*i**3 + 170*i - 576*i**3 + 1143*i**3 as l*i**2 + d*i + r*i**3 + y*i**4 + f and give y.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in 0.8, 38, -4, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*u - 51*u - 300 = 0 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 12\/3*((1 - -177) + -5). Let u = f - 201. Calculate the remainder when u is divided by 26.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3160920873?\nAnswer: 3, 11, 757, 11503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 5282574709 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q = 2*q + 15, -2*r - q + 5 = 0. Let f(v) = 0*v + v + r*v. Let s(c) = -1 + 3*c**2 + 1. Calculate s(f(n)).\nAnswer: 3*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 95697*r - 95667*r = -7*v - 38, 90 = 5*v - 2*r for v.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 5 - 8 - (-21)\/(-4)*-1. Let f(c) be the first derivative of 3\/4*c**2 + 1\/12*c**3 + b*c + 1. Factor f(p).\nAnswer: (p + 3)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) be the second derivative of j**3\/3 - j. Let l(c) = 27*c**2 - 25*c - 10. Let x(q) = -13*q**2 + 10*q + 4. Let z(u) = -2*l(u) - 5*x(u). Determine z(m(n)).\nAnswer: 44*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in thirteen fifths of a kilometer?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j + 3*y = 2*j + 11, 0 = 3*y + 9. Suppose 5*g - j = -l, -l + 4*l + 2*g - 95 = 0. Solve -5*b - 5*i - l = 0, -3*b - 13 = -0*i + i for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 9\/20 (b) 0.2 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) be the third derivative of -w**6\/120 + w**5\/5 - w**4\/24 + 5*w**3\/2 - 5*w**2. Let c be a(12). Suppose -c*o + 186 + 15 = 0. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in one ninth of a week?\nAnswer: 1120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 24 and 684.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -t**3 - 6*t**2 + 6*t - 4. Calculate y(-7).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 21308694 divided by -15\nAnswer: -7102898\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 924 and 924?\nAnswer: 924","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 285*i - 1139*i + 16226 = 0 for i.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 3*x**2 + 8*x + 51. Calculate the remainder when j(-6) is divided by 160\/12 - 6\/(-9).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/(q\/q**1)*q)**(2\/3)\/(q**(-5)\/q**(2\/5)))\/((q**(2\/7))**13\/((q**0\/q)\/q)**(-47)) assuming q is positive.\nAnswer: q**(10187\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 31? (a) -1\/13 (b) 6 (c) -137\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -101.798 + -0.202. Which is the third smallest value? (a) -0.4 (b) 0 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -1 + (1 - 7) - 3. Let y be (-3)\/((-4)\/m - (-14)\/(-10)). Let t(c) = 2*c + 2. Let f(x) = -x - 2. Give y*t(j) + 4*f(j).\nAnswer: 2*j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -0.08, -0.036, 1, 3\/2, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14741455.\nAnswer: 5, 101, 29191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -55 + 36*l - 84 + 66*l - 14*l. What are the prime factors of q(4)?\nAnswer: 3, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -27*y + 119262 - 16095. What is the hundreds digit of y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12211100220000 (base 3) in base 7?\nAnswer: 35220303","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = -3*h + 6. Solve -2*o - h = -5*o for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 12 and 48.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 29 - (25 + -36 + 23)?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -4 + 1 - 4 - 9*j. Suppose 3*m + 1 = -32. Let l(y) = -5*y - 4. Let u(b) = b**2 + 3*b + 2. Let h be u(-4). Calculate h*z(q) + m*l(q).\nAnswer: q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -306635160 + 3?\nAnswer: -306635155","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -85*g = -259*g + 91*g - 747 for g.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 5339 and 31268275.\nAnswer: 281","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 688 - 1124 + 1560 - 53*n + 116*n - 1124.\nAnswer: 63*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6*((-3)\/3)\/4.\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 367 minutes before 10:39 AM?\nAnswer: 4:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 204 divide 250729244?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = k - 8. Let r be s(-7). Let h be (-3)\/(-5) + (-36)\/r. Let q(v) = -39*v - 3 + h + 37*v. Let a(g) = -7*g. What is q(a(n))?\nAnswer: 14*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-45)\/60)\/(((-54)\/315)\/(8\/(-30)))?\nAnswer: -7\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 83\/1528 and 169\/120.\nAnswer: 22920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 274894 to the nearest integer?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -15 + 77. What is the greatest common divisor of 155 and t?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 294\/98*3*(-1)\/(-27)*15.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -q**3 - 4*q**2 - 2*q + 2. Let n be a(-4). Solve h = -h + 3*z + n, -25 = -5*h + 5*z for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -15072933193352 + 0.1.\nAnswer: -15072933193351.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 127\/5041200 and -33\/8402000.\nAnswer: 25206000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 5, 7, -372, 0.2.\nAnswer: -372, -1, 0.2, 5, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 9*s**2 + 2*s + 4. Let l(f) = 5*f**2 + f + 2. Let b(z) = -7*l(z) + 4*n(z). Is b(4) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -110 + 130. Suppose -8*v = -m*v. Solve v = -g + 2*g + 2 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (4\/6)\/(8*(-9)\/(-3132)). Let y = f + -14. Does 12 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o**8)\/(o\/o**10))\/((o*o\/(o**(-10\/3)\/o*o))\/(((o**(3\/5)\/o)\/o)\/o)) assuming o is positive.\nAnswer: o**(154\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - 2) + -1 + 345 + -343?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -2411400 rounded to the nearest one million?\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -28*y + 122 - 10 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -5*w**3 + 6*w**2 + 5*w - 2. Let i(k) = k**3 - k**2 - k + 1. Let j(y) = 6*i(y) + l(y). What is the units digit of j(0)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3\/2? (a) 0.11 (b) 0.2 (c) 5 (d) -30\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) be the second derivative of -c**3\/6 + c. Let o(h) = -h**3 + 7*h**2 + 5. Let s = -10 + 17. Let j be o(s). Give a(j).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 7794849271 to the nearest integer?\nAnswer: 1983","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -52250667.5 + -6847889.5. Let h = n + 59098541.9999994. Let w = h + 15. What is w rounded to six dps?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -313*t - 6*t**4 + 942*t + 5*t**2 - 3 - 314*t - 309*t + 2*t**3 + 8 as l*t**2 + a + q*t**4 + f*t**3 + o*t and give l.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 102 + -37 + 87 + -113?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -2*a**3 - 52*a**2 - 133*a - 4592. Give j(-27).\nAnswer: 457","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -145 = -8*s + 47. Solve 0*b + 6*b = s for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 6\/25 of a day?\nAnswer: 20736","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:26 PM and 7:34 PM?\nAnswer: 428","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s = -4*t, t + 3*s + 0*s + 13 = 0 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3597 - 34869 = 1783*g + 54259 - 16056 for g.\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*g**5 + 1316*g**3 + 993*g**2 + 4*g wrt g?\nAnswer: 120*g**2 + 7896","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 1109?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -12147, -34970, -73007, -126258, -194723, -278402?\n\"Answer: -7607*l**2 - 2*l - 4538","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.3 - 0.2. Let g(u) = -u**3 - u**2 + 2. Let c be g(0). Let j = c - 5. Is f greater than j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6614*f + 8*b - 76 = 6618*f, 5*f - 13 - 4 = -4*b for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = -15*w + 18*w - 256, -4*w + 654 = 5*x. Suppose x = 4*p - 270. Calculate the remainder when p is divided by 26.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2516927638 to the nearest integer?\nAnswer: 1360","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 3752972, 7505945, 11258918, 15011891?\n\"Answer: 3752973*g - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.02, -5, 2, 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 6414437?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 8764?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/8)\/(-11*(-40)\/352)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1305 * 0.3.\nAnswer: 391.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 7\/14*(34 - (0 + 0)). Suppose -z + 5*i - 1 - b = 0, 5*z + 10 = 5*i. Suppose 5*k = z*p - 282, 6*p + k - 705 = p. List the prime factors of p.\nAnswer: 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a - 3*w = -11, -a - a = -2*w - 14. Let c = -0.5 - -0.4. What is the closest to -0.1 in a, c, -2?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -1 - 9 + 50*u**2 + 4*u - 10*u - 14*u**2. List the prime factors of x(-3).\nAnswer: 2, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 280 (b) -0.45 (c) -3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/3)\/(5\/(-45))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 4 (b) -0.4 (c) 25 (d) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 412, 1276, 2592, 4354, 6556, 9192, 12256, 15742?\n\"Answer: -l**3 + 232*l**2 + 175*l + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 113 = 5*m + y, -101 = -4*m + y - 7. Is m bigger than -8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hvvvhhvvuvhvvv. What is prob of sequence huh?\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -f**3 - f**2 - 11*f - 11. Let v(x) = -12 + 81*x**2 - 83*x**2 + 2*x**3 - 12*x - 4*x**3. Let d(a) = 7*r(a) - 6*v(a). Factor d(h).\nAnswer: 5*(h - 1)*(h + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 + 52 - (11 + -18)) + (-39 - -20).\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2933830524.\nAnswer: 2, 3, 6553, 37309","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -144\/5*j + 288\/5 - 2\/15*j**3 + 18\/5*j**2.\nAnswer: -2*(j - 12)**2*(j - 3)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -r. Let a(g) = 3246*g. Determine u(a(l)).\nAnswer: -3246*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 27 + -1 + 37 + -51 + (-3 - 2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 18 or 158\/9?\nAnswer: 18","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 9727112 and 1696.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -6602, -13189, -19770, -26345, -32914, -39477?\n\"Answer: 3*g**2 - 6596*g - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -123 + 123. What is the biggest value in -3, -2\/13, 6, j?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -62 - -237. Suppose -2*c = -c - 3. Suppose c*m = 2*y + 146 - 49, -4*m = -4*y - 124. Calculate the greatest common divisor of x and m.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -2*c**2 - 5*c + 65. Let k(y) = -3*y**2 - 8*y + 104. Let v(u) = -8*i(u) + 5*k(u). Let s(q) be the first derivative of -5*q**3\/3 - 2. Give v(s(l)).\nAnswer: 25*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -15 + -2 + 8 + 2.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3276497?\nAnswer: 7, 468071","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 3, c: 3, v: 3, s: 1, f: 2, m: 1}. What is prob of picking 2 o?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 5, x: 15}. Give prob of picking 1 e and 3 x.\nAnswer: 455\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -127805*b**2*p**3 - 12*b**2*p + 2*b*p**3 - 816496*b wrt b?\nAnswer: -255610*p**3 - 24*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) be the first derivative of 4*v**3\/3 + 6*v - 19. Let d(j) = -4*j**2. Calculate d(w(o)).\nAnswer: -64*o**4 - 192*o**2 - 144","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -629 - 457 = -2*o. What is the units digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 76 + -71. Let x be (-84)\/(-24)*(-2 - -8). Let f = 87\/4 - x. What is the closest to g in f, -3\/2, -0.4?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1001332131 (base 4) to base 7.\nAnswer: -2203602","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-five quarters of a gram in milligrams?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ccr when three letters picked without replacement from {c: 1, t: 1, u: 3, r: 1, e: 6, n: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2)\/2 + (-520040)\/(-128). Let x = s + -4064. Calculate the common denominator of -3\/38 and x.\nAnswer: 304","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 7207\/735 and 9 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2*(3 + 6*3\/(-12)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*u = -8*u - 12 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 121*w = 124*w + 4*s - 199, 2*w + 2*s - 134 = 0. Calculate the greatest common divisor of 1932 and w.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 51 - (142 - 71) - -22.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 5*g = 20, -2*g = 3*h + 4 - 17. Suppose -6*m + 85 = -h. What is the remainder when 25 is divided by m?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q**(-5)*q)\/(q**(2\/9)*q*q))\/((q**(2\/3)\/q)\/(q\/((q\/q**2)\/q))))**(29\/4) assuming q is positive.\nAnswer: q**(-377\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 7078*c - 174164 - 110305 - 196835 for c.\nAnswer: 68","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 475.2967207 to 1 dp.\nAnswer: 475.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -152775, -611097, -1374965, -2444379, -3819339, -5499845?\nAnswer: -7485897","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -11313\/149 or -75?\nAnswer: -75","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -b. Let n(q) = -6*q - 8. What is -n(g) + 4*o(g)?\nAnswer: 2*g + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -28 - (34 + -56) - (0 + 7) - 9?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: 4 (base 14) to base 4\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 59 minutes before 8:37 AM?\nAnswer: 7:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-26 + 7*x + 26)*((2 - 1 + 2)*(0*x + 0*x + x) - 2*x + 3*x + x).\nAnswer: 35*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -1914 and -0.18?\nAnswer: 1913.82","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 170407?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -6544827175\/173442 + 5172174\/137. Let r be (-8)\/10 + 0 - (-8790)\/10550. Let a = q + r. What is the common denominator of a and -31\/20?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) be the second derivative of p**4\/4 + 7*p**3\/6 - 3*p**2\/2 + 138*p + 3. Let m(h) = -2*h**2 - 5*h + 2. Give -7*m(n) - 5*y(n).\nAnswer: -n**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand 156*a**4 - 62*a**4 + 4*a**2 - 75*a**4 + (2*a**2 + 0*a**2 - 4*a**2)*(2*a**2 + 0 + 0) - 2*a**4 - a**4 + 4*a**4.\nAnswer: 16*a**4 + 4*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*k - 2, -a = 15*k - 18*k - 8. Solve -p - 4 = -2*r, a = 5*p - 2*r + 17 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -29 - -30. What is the nearest to 2 in -3\/5, l, -0.1?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -418, 1, -5?\nAnswer: -418","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(2*sqrt(1539))**2 + (-6*2*sqrt(2299) + sqrt(2299))**2.\nAnswer: 272023","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2.02 + 85.02. Let w = 100362 + -100364. Which is the nearest to -2? (a) f (b) w (c) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -623*i + 3591 = -110*i for i.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/7? (a) -21 (b) 1\/3 (c) -7 (d) 4\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 2\/5, -0.07, 3, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 132887 to the nearest integer?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -86, -161, -234, -305, -374?\nAnswer: -441","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -13 + 11. Let i(u) = u**2 + 1. Let s(y) = -3*y**3 + 2*y**2 + 9*y + 8. Let t(p) = k*i(p) + s(p). Factor t(m).\nAnswer: -3*(m - 2)*(m + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 5, l: 2}. What is prob of picking 1 h and 1 l?\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -g. Let d(b) = 5*b + 1. Let y = 1 - 3. Let w(r) = y*h(r) - d(r). Determine w(-1).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -16*t - 2*t**2 - 6 - 15*t**2 - 4*t**2 - 6*t**2. Let j(k) = -110*k**2 - 65*k - 25. Let p(d) = -6*j(d) + 25*z(d). Solve p(i) = 0 for i.\nAnswer: -2\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = 3*c - 2*x, 2*x + 13 = 3*c - 2*x. What is the third derivative of -c*w**2 + 0*w**4 - 5*w**2 + 3*w**4 wrt w?\nAnswer: 72*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -845*j**2 - 2. Let a(r) be the second derivative of -r**3 + 941*r + 7. Give g(a(l)).\nAnswer: -30420*l**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 6\/(-9) + (8\/(-6) - -1)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = l + 2*z - 26, -2*l + 95 - 27 = -4*z. Suppose -2*t + 471 = 5*d, d - l = 5*t + 48. Suppose 0 = -4*o - 29 + d. What is the units digit of o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -90.2 + 90.2004885. Round i to 5 dps.\nAnswer: 0.00049","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.3 - 0.7. Let t = 16 - 17. Let i = -606.8 - -607. What is the closest to t in i, -4, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/(-2)*(-54)\/(-297)?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -228*h**2 + 105*h**2 + 112*h**2.\nAnswer: -11*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*o**4 - 4*o**4 + 5*o**4)*(-3*o - o + 2*o) + 4*o**5 - 4*o**5 + o**5 - 5*o**5 + 9*o**5 + 5*o**5.\nAnswer: 12*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = x + 1054. What are the prime factors of p(0)?\nAnswer: 2, 17, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -114 and -125 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 1326*n**2 - 669*n - 15. What are the prime factors of h(5)?\nAnswer: 2, 3, 5, 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + (-2 - 5 - (-21 + 17)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*c - c - 1. Suppose 187 = 2*o - c. Is 27 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 10295*o**2 + 3*o + 6. Let f be v(5). Suppose 323424 = 5*p - f. Suppose -5*t = -p - 333836. Round t to the nearest 100000.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -369*v**3 + 3*v**2 - 3*v - 13. Is s(-4) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3 - 3. Let v = -0.07 - -0.27. Which is smaller: s or v?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 134019401 divided by -313.\nAnswer: -428177","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 2*j = 46, 3*j - 53 = -5*m + 10. What is the tens digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 91 minutes before 5:59 AM?\nAnswer: 4:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*p + 118 = 2*p + 4*o, 2*o - 24 = -3*p for p.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*g - 5*g + 4*g**2 + (-3*g + 3*g - 4*g**2)*(-8 + 10 - 19).\nAnswer: 72*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.057 + 3.243. Let g = x + 0.7. Sort g, -4, 0.5 in decreasing order.\nAnswer: g, 0.5, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 5*d**3 + 0 - 1.\nAnswer: 5*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o*o*o**(-1)*o*o)**(-2\/161)\/(o*o**(2\/3))**(-17\/5)*(o**(-1))**(-23)*(o*o**1\/o*o)**(7\/3) assuming o is positive.\nAnswer: o**(16076\/483)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 493.79 - 489. Let p = -4.9 + 4.69. Let f = s - p. What is the third smallest value in f, -0.5, 2?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 103550, 103547, 103544, 103541?\n\"Answer: -3*s + 103553","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2588*u + 10365*u - 2587*u + 18*u**3 - 2597*u - 2593*u.\nAnswer: 18*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:07 PM and 12:28 AM?\nAnswer: 561","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - g - 46 = 0, 0 = 3*q - q - 5*g - 14. Suppose 0 = -q*s - 209 + 1265. What is the tens digit of s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(175)*-1 + 0 + sqrt(175) + -2*-1*sqrt(175) + sqrt(175))*3 + -4)**2.\nAnswer: -1440*sqrt(7) + 226816","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -6*c + 7. What is the closest to c in 2\/7, -1\/3, 4\/7?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1175\/10)\/47*(-5)\/(225\/972).\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 4628468, 4628448, 4628414, 4628366, 4628304, 4628228?\n\"Answer: -7*b**2 + b + 4628474","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16546530 divided by 4.\nAnswer: -8273265\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 7517977413 to the power of 1\/3, to the nearest integer?\nAnswer: 1959","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 42937.5 + -42937. Which is the closest to -1? (a) -2\/5 (b) l (c) -13 (d) -3\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 2*f**3 - 17*f + 43. Let y be p(8). Suppose 20*v - 21*v = 3, 2*v + y = 5*a. Calculate the remainder when a is divided by 66.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -5554*t + 22179. What is h(4)?\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 0*k - 56*k**2 + 0*k + 55*k**2. Let y(b) = -11*b**2. Calculate y(t(f)).\nAnswer: -11*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*a**2*b**3 - 114*a**2 + 35*a*b**3 - 4*a wrt a?\nAnswer: 6*b**3 - 228","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (27*v + 21*v - 16*v)*(-3*v + 4*v - 5*v)*(-2*v + 3*v - 2*v) to a*v**3 + f*v**2 + g + t*v and give a.\nAnswer: 128","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 14161093?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 406*u**3 + 2*u**2 - 103312*u - 135024588 wrt u?\nAnswer: 1218*u**2 + 4*u - 103312","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.25 and -51688688758.\nAnswer: -51688688758.25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u - 2 = -10. Let d be (-20)\/(-6) - (-1)\/(-3). Factor 22*b**3 - 12*b**3 + u*b**2 - 11*b**d.\nAnswer: -b**2*(b - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 40*i - 79*i + 46*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 96 and 1760136.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -31\/17 and 31\/102.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*a**5 + 96*a**4 + 700*a**3 - 1464*a**2 - 320*a = 0. Calculate a.\nAnswer: -5, -1\/5, 0, 2, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-6)\/5)\/((-6)\/100). Suppose -v = 4*v - l. Let r be v\/(-18) - (-80)\/36. Let y(w) = -w**3 + 2*w**2 - 2*w + 3. Calculate y(r).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 5.8622104 to the nearest integer.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-216)\/162)\/(-3 + -3 + 2). Let i = 11 - 5. Let m be (2\/(-10))\/(i\/10). Which is the third biggest value? (a) 3 (b) k (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16 divided by -31679?\nAnswer: -16\/31679","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 109 to the power of 1\/5, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -i**2 + 26. Let u be r(0). Let p = u - 21. Let a be 192\/430 + (-2)\/p. Is 0 smaller than a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2065, -2063, -2061, -2059?\nAnswer: -2057","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 38 a factor of 25306404?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 915 and 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-4)\/6)\/(0 - -6). What is the nearest to -1 in n, -3, -2?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -29*w**3 + 2 - 6*w + 55*w**3 - 19*w**2 - 22*w**3 + 16*w**2 to d + o*w**3 + n*w + p*w**2 and give p.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 158971?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 500 a factor of 1046502000?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -9, 4, 1, -12, -4 in ascending order.\nAnswer: -12, -9, -4, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c**(-3)\/c)\/c)\/(c\/(c*c**2\/c*c*c*c))*c**(-2\/7)*c*(c*c\/(c*c**(-5)*c))\/c)\/((c**0)**(-17)*c**(-2)*c**(-1\/3)\/c) assuming c is positive.\nAnswer: c**(148\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 1108e4 (base 15) to base 7\nAnswer: 6621250","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 124646?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -29463, -29462, -29461, -29460?\nAnswer: -29459","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(34) + -3*sqrt(136) + sqrt(34) + -5*(sqrt(34) - sqrt(136)\/sqrt(4)))\/(sqrt(4)\/sqrt(98)*-4))**2.\nAnswer: 833","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a milligram in micrograms?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 6*x + 0 - 3*x**2 + 6 + x**2 - 3*x**2. Let t(u) = -6*u - 24. Let i be t(-3). Let f(s) = -6*s**2 + 7*s + 7. What is i*f(d) + 7*m(d)?\nAnswer: d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 56833789 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 5*a - 1. Let p(k) = -k**2 + 14*k - 2. Suppose -x + 28 = r + 4*r, -2*x = 4*r - 32. Give x*v(l) - 3*p(l).\nAnswer: 3*l**2 - 2*l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3617 is divided by 917.\nAnswer: 866","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((1 + sqrt(7))*-5 - sqrt(14)\/sqrt(2)*2)*6)**2.\nAnswer: 2520*sqrt(7) + 13248","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*w + 1 = -34 for w.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:21 AM and 12:03 PM?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide -824 by -18458.\nAnswer: 412\/9229","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 17*q - 128. Give a(10).\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (15\/100)\/((-570)\/304).\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 7813 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 4, a: 4, q: 6, j: 3}. Give prob of sequence aqjm.\nAnswer: 3\/595","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 2*x**3 - 22*x**2 + 19*x + 14. Let u be n(10). Solve -2*d + 3*j - 6 = -17, u*d = -3*j - 23 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -31733, -36638, -49953, -75884, -118637, -182418, -271433?\n\"Answer: -701*p**3 + p**2 - p - 31032","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2 - 1. Suppose y - i = -0. Suppose 9 = -6*l + 9*l. Calculate the greatest common factor of y and l.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -1*((-56073)\/5097 + 11). Is q bigger than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2331 and 3663.\nAnswer: 25641","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -1\/1603800 and -199\/801900.\nAnswer: 1603800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7527?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 17\/107526 and 37\/967734.\nAnswer: 967734","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 3, k: 2, p: 9, r: 1, l: 2}. What is prob of picking 2 h and 1 r?\nAnswer: 3\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 66850 = -4*o - 3*o. Is o\/(-5) - -6 - 1 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*y + 13*y = -t - 1580402, 0 = 3*y - 4*t + 1580392. What is y rounded to the nearest 100000?\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -433*h + 18197. Calculate m(42).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -1161, 3, 26 in ascending order.\nAnswer: -1161, 3, 26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*q - 8731 + 8780 = 0 for q.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5*1\/10*4\/6.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1a60 (base 15) to base 14.\nAnswer: -2123","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -21 + (-15 - 3) + 0 + 13?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 672 + -674. Let p = 0 - -2. Suppose 3 = p*t - 5*t. Sort 4, t, 3, x in ascending order.\nAnswer: x, t, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20252 (base 7) in base 9?\nAnswer: 6685","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -941.9 + 942. What is the biggest value in c, -12, 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6 + -9 + -87 - (23 + -14 - 4 - 4)\nAnswer: -91","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -k. Let j be h(-3). Suppose 3*q - 15 = 0, 4*d - 2*q = 2*q. Let y = 7 - d. Solve -i + 3*l = -0 - 4, -1 = y*i + j*l for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 2185144567 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 836604384 to the power of 1\/10, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -6*y**3 + 11*y**2 + 11*y + 14. Let f(s) = -2*s**3 + 4*s**2 + 4*s + 5. Let w be (-3)\/(1*12\/8). Let l be 4\/w*(-33)\/6. What is l*f(m) - 4*n(m)?\nAnswer: 2*m**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 f when two letters picked without replacement from mfffffffmffm.\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 8694629 a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 106.8 + -107. Which is the second biggest value? (a) -4 (b) -2 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 32485979.\nAnswer: 53, 71, 89, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 798\/133*1\/(-2)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5)\/(-50)*(-44)\/(-88)?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 51, 105, 163, 225, 291, 361?\nAnswer: 435","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 1968?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -573 + 726 = -51*c for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 1039*f + 6246. Let q be p(-6). Let v be 4 + (0 - 0)\/(-2). Solve v*d + 3*y = 12, 3*y = 3*d - 0*d + q for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (4 + -1)\/((-9)\/(-6)). Let k(a) = -2*a**2 - a**2 + 2 - 4*a + 2*a**2 + m*a**2. Determine k(5).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = -70 - 119. Let m = 277 + i. Calculate the remainder when m is divided by 235\/2*28\/105 - (-1446)\/(-4338).\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1488, -5\/2, -99 in decreasing order.\nAnswer: 1488, -5\/2, -99","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9\/7, -2662\/39, 5, 0.3 in descending order.\nAnswer: 5, 9\/7, 0.3, -2662\/39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.079 + 15.921. Which is the closest to -1\/2? (a) 0.3 (b) 0.1 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-8*v + 0 + 3 + 7*v)*(-4 + 6 + 6) as w + a*v and give a.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 1 + 0 + (2 + -3 - -4)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:46 AM and 12:49 PM?\nAnswer: 63","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1130222 - 0?\nAnswer: 1130222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*b - 2*b + 56 = 2*t, -4*b = -4*t + 64. Let g = b + 16. Suppose -3*x - 5 = -0*x - n, n = x + 3. Sort g, -3, x in descending order.\nAnswer: g, x, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1.7 + 25.7. Let a = 213.327 - 237.3253. Let s = a + u. What is s rounded to 3 dps?\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 964915724 to the power of 1\/4, to the nearest integer?\nAnswer: 176","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 = o - m, -o + 5*m = -1 + 2 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 215737935 is divided by 573.\nAnswer: 570","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u**2\/7 - 99*u\/7 + 114 = 0. Calculate u.\nAnswer: 14, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4293 or -4292?\nAnswer: -4293","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 16 + -18. Let b = -0.2 - -0.3. What is the third smallest value in b, 1\/2, h?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36 + 8 = 4*d. Let c = d - -9. What is the remainder when -23*c*(-3)\/6 is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 34255637*o - 26774295 wrt o?\nAnswer: 34255637","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1 (b) 4\/3 (c) 0.2932\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = z**3 + z**2 - z - 39. Calculate s(0).\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 878?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 655 minutes after 6:02 AM?\nAnswer: 4:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.1 - -0.2. Let v = -0.6 + t. Suppose 5*l + 12 - 2 = 0. What is the biggest value in v, l, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/(-8)*2\/(-4).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.11 + 0.1. Let j = 14 + -10. Let x = j - 3.9. Is a at least as big as x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence py when two letters picked without replacement from {r: 4, b: 1, p: 3, o: 5, y: 1}.\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -420 (base 11) in base 10?\nAnswer: -506","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/(-14)*(-2)\/(3\/(-36)*6).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 736889 a multiple of 59?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = 4*a - 2313, 4*g + 1640 = 3*a - 98. Calculate the remainder when a is divided by 70.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -28, -1.\nAnswer: -28, -1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 2*x**3 + 3 + 0*x**2 + 2*x - x**2 - 2*x**2 - 6. Let a be p(2). Solve -3*y - 5 = 3*c - a*y, -3*c + 3*y - 3 = 0 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*h**2 - 36*h**2 + 7*h**2.\nAnswer: -31*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -56 + 56 - 457*s + 443*s.\nAnswer: -14*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (-37 + 12 - (-2 - 12)) + 18?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 3*c, -8 + 12 = 2*w + 4*c. Sort -3, 30, w in decreasing order.\nAnswer: 30, w, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1290247.\nAnswer: 7, 184321","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 453841?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3.136 - 0.566. Round p to zero decimal places.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6 + 6 + u**2 - 4*u**3 + (-u**2 + 0*u**2 - 2*u**2)*(-11*u - 17 + 17).\nAnswer: 29*u**3 + u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 31\/5 of a meter in centimeters?\nAnswer: 620","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(425) - ((sqrt(425) + 0 - sqrt(425)) + 5)) + 2.\nAnswer: -3 + 5*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -317 - -1578\/5. Let q = 26\/15 + m. Suppose 0 = -4*b + b, -d + 4*b - 5 = 0. Put -1, d, q in descending order.\nAnswer: q, -1, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g = -5*f - 40, -5*f + 4*f - 26 = 4*g. Let h be g + (-110)\/(-11) - (1 + -1). Solve -5*c - 5 = p + p, -26 = -h*p + 2*c for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 118234.43 and 0.96 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q when two letters picked without replacement from zwzzszzziqrqwwzz.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -z**4 - 18*z**3 - 80*z**2 + 18*z + 81.\nAnswer: -(z - 1)*(z + 1)*(z + 9)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 8667 and 214?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -o**3 - o**2 + 22*o - 1. Let s be i(0). What is the nearest to 1\/2 in 13, -1\/7, 1, s?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 7 = 3. Let s(g) = -2 + g + t. Let b(l) = -l + l - 3*l**2 + l**2. What is s(b(m))?\nAnswer: -2*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 12 - -2202?\nAnswer: 2221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -13990\/9?\nAnswer: -13990\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 12553, 12540, 12497, 12418, 12297?\n\"Answer: -k**3 - 9*k**2 + 21*k + 12542","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -1269804 divided by 3\nAnswer: -423268","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -9*b + 4. Let w(l) = 19*l - 7. Let g(d) = -13*r(d) - 6*w(d). Let i be g(4). Let k = 10 + -8. Solve 0*y + 2*y = 3*j + 6, -k*y = -j - i for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 6 - 5*d**2 - 6. Let g(v) = 1 - 1 - 2 + 2*v - 3*v**2 + 0. Let n(i) = 10*i**2 - 7*i + 7. Let q(j) = -14*g(j) - 4*n(j). What is p(q(f))?\nAnswer: -20*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 39839293 to the nearest one hundred thousand.\nAnswer: 39800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -0.2, 0.5, -3, 0.4267, 5 in descending order.\nAnswer: 5, 1, 0.5, 0.4267, -0.2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1186932 and 96.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 15 and 45740?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 7*b - 18. Solve 3*p + 10 = d, -6*d = 4*p - b*d + 24 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 3*y + 4*y**2 + 0*y - 43 + y - 3*y**2. Let h be r(-9). Let z(b) = -b**2 + 4*b - 4. Let i be z(h). What is the smallest value in i, 0.3, 18?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -603 + 603.2. What is the smallest value in f, -5\/13, -1, 4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 94\/2235 and 17\/32.\nAnswer: 71520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 57099599?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (5\/(-5))\/((18\/(-6))\/3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4 - 3. Let r = -326783\/189 + 1729. Let t = -197\/756 - r. Which is the nearest to t? (a) w (b) 0.1 (c) 4\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5105.\nAnswer: 5, 1021","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 94 and 423?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 2, p: 2, b: 1, m: 4, s: 1}. What is prob of sequence pmbp?\nAnswer: 1\/630","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zppj when four letters picked without replacement from pjzxnxxnxxpjjnxjx.\nAnswer: 1\/7140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find k, given that 4*k**5 - 24436*k**4 + 2916940*k**3 + 28234692*k**2 = 0.\nAnswer: -9, 0, 131, 5987","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 697 minutes after 10:45 PM?\nAnswer: 10:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 78741 to the power of 1\/8, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 283013251?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 99559 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35*x = 38*x - 6 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -542 - -537. What is the nearest to -2\/5 in -2\/7, 0.7, 0.1, f?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = m**2 - m. Let v(g) = -72*g**2 + 48*g. What is -144*j(l) - 3*v(l)?\nAnswer: 72*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 4*p**3 + 3*p**2 - 39*p + 10. Let u(s) = 3*s**3 + 4*s**2 - 40*s + 8. Let w(c) = -4*a(c) + 5*u(c). What is the second derivative of w(j) wrt j?\nAnswer: -6*j + 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) be the third derivative of -p**5\/75 - 442*p**4\/15 - 390728*p**3\/15 + 311*p**2. Factor a(g).\nAnswer: -4*(g + 442)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 61 a factor of 930\/(-4)*(-16)\/12 - 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 50700 divided by -325?\nAnswer: -156","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -35316.202 rounded to the nearest 100?\nAnswer: -35300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (t - t - t**2)*(1807*t**3 + 49*t**2 - 57*t**2 - 1727*t**3) + (2*t + t**3 - 2*t)*(-2 + 2*t**2 + 2).\nAnswer: -78*t**5 + 8*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -15*(78\/13)\/((-30)\/6)?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = a**2 + a + 1. Let j be 0 + 7 - 3 - 4. Let q be c(j). Solve -12 = -2*l + 2*i, -9 = 2*i + q for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10*c**3 - 11*c**3 - 5 - 13)*(2 + 0 + 0).\nAnswer: -2*c**3 - 36","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c = 2*h - 26, -4*h - 2 - 6 = -c. Let m be -4 - ((4 - 3) + c). Solve -3*l = -2*g + 4, 2*g = 3 + m for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ijaahapjajp. What is prob of sequence jh?\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-m**2 - 6*m**2 - 5*m**2)*(-2*m + 0*m + 0*m)*(6*m - 4*m - m).\nAnswer: 24*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l + 9 = -c - 4*l, -5*c + 44 = -2*l + 121 for c.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -h**3\/11 + 289238*h**2\/11 - 289237*h\/11.\nAnswer: -h*(h - 289237)*(h - 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -5*q**2 - 68*q - 11. Calculate l(-14).\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 4*y + 23. Let g(v) = 2*v + 11. Let f(h) = 11*g(h) - 6*r(h). Let i be f(-6). Which is the closest to -1? (a) i (b) 1 (c) 5\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 658.71155 days to weeks.\nAnswer: 94.10165","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11*s - 2 + 2)*(-105*s**3 - 97*s**3 - 69*s**3) - 4 + 4 - s**4.\nAnswer: -2982*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1792 is divided by (3\/1)\/((-346)\/(-17300)).\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -451 = -s - 5*d, -227*s - d = -226*s - 455. What is the highest common factor of 48 and s?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -39830 + 40275. Calculate the greatest common factor of 135 and w.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.6606 + -0.6606. Which is the fifth biggest value? (a) 4\/7 (b) 4 (c) m (d) 1.4 (e) 2\/23\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 404 minutes after 5:21 PM?\nAnswer: 12:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-56)\/(-98)*(-14)\/(-20). What is the closest to -1\/5 in l, -3, -9\/4?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 609 minutes after 8:41 PM?\nAnswer: 6:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 193, 188, 181, 172, 161, 148, 133?\nAnswer: 116","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bggvgbbgbbgbv. Give prob of sequence bgvv.\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2542\/78 + (-5)\/(-65) - (-5)\/15 and 2.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -13199*a - 1742233. Calculate h(-132).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -104*u - 153. Let x be f(-6). Let a = 761 - x. Does 17 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.073 - 0.047. Let h = -262 - -261.873. Let a = b - h. What is a rounded to three dps?\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) be the third derivative of -c**8\/112 - 169*c**7\/70 - 501*c**6\/40 - 499*c**5\/20 - 83*c**4\/4 + 2*c**2 + 2*c - 1345. Factor u(p).\nAnswer: -3*p*(p + 1)**3*(p + 166)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 6 and 738?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - w = 0. Suppose 2*b - 4 = -w. Put -3, b, 5 in decreasing order.\nAnswer: 5, b, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*o + y - 4, -16 = 2*o + 3*y - y. Let a be o + -1 + 0 - 1. Let f be 3\/(-30) - (-10)\/100. Put 3, a, f in decreasing order.\nAnswer: 3, f, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 14672119 and 5845.\nAnswer: 1169","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (3 + 0)*4\/12. Let t be y*((1 - 1) + 3). Suppose 3*p + 5*n + 10 = 0, n + 25 = p - t*n. Solve 5*z + 5 = -2*x + p*x, 15 = 3*x for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or -8\/31497?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 729.01982 + -729. What is s rounded to 3 dps?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = i**3 + 4*i**2 - 5*i. Suppose 0 = 3*l + x, 2*l + 3 = x + 8. Let p be ((-3 - l) + -1)*1. Give c(p).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -5 (b) -1 (c) -2\/3 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -37*z**3 - 28*z**3 + 43*z**3 + 2*z**3 - 96*z**3 - 7*z.\nAnswer: -116*z**3 - 7*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -c**3 + 6*c**2 - 2*c + 3. Let n(a) = -16*a + 9. Let l be n(-9). Let f = 37 - l. Let h be f\/(-20) - 2\/(-10). Calculate m(h).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -28, -9, 10, 23, 24, 7?\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 133*i + 2128. Let h be s(-16). Solve -3*q = p - 1, h*q = -3*q - 5*p - 19 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 + 3*h - 1)*((3 + 4 - 3)*(4*h - 3*h + h) - 3 - h + 3) as z*h + f + o*h**2 and give o.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 62094766.\nAnswer: 2, 89, 199, 1753","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -6 (b) 1 (c) 4 (d) -1\/7 (e) -5 (f) 0.29\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 71 divide 13348?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -383 at least 11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 18 and 3420.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9 = -2*i + 7 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -30481.8 - -30482. Which is the third biggest value? (a) -4\/9 (b) 3 (c) y (d) 2\/17 (e) -18\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.04 (b) 1 (c) 0.022 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -9 (b) -5 (c) -122 (d) 3\/5 (e) 6 (f) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 497 and 10579.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 326 times 299\nAnswer: 97474","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -q + 4. Let v = -11 - -8. Let s(c) = -c + 7. Give v*s(u) + 5*f(u).\nAnswer: -2*u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 4*w + 236 = -0*i, -2*w = 10. Suppose z - 60 = -5*q + 2*z, 3*q + 3*z - i = 0. Solve -l - 4*a = -q, 3*a = l + l + 7 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -138 - -147. List the prime factors of 12220\/36 + (-4)\/k.\nAnswer: 3, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 87*o - 72. Let y(u) = 262*u - 216. Suppose 4*j = -4*t + 56, -2*j + j = -t - 14. Let i(l) = j*w(l) - 5*y(l). What is the derivative of i(a) wrt a?\nAnswer: -92","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2.8 times -3784\nAnswer: -10595.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 30, 38, 52, 72?\nAnswer: 98","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -26162 - 902319978?\nAnswer: -902346140","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 30*d**2 - 357*d + 778. What is m(9)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*m = 3*m + 5 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1355 to the power of 1\/3, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -26232043, -26232039, -26232035, -26232031, -26232027?\n\"Answer: 4*m - 26232047","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 126 + -132. What is the closest to 0.2 in -3, 2\/39, p, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2219\/6 - -17693\/42. Let p = -2621\/56 + k. Let m = -391\/88 + p. Does m = 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*c - 6 = 6*c. Suppose -4*u = 0, 0 = -c*l - 2*u - 8. Is l greater than or equal to -9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 69714599 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 122919551 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -124*s - 154*s = -834. Suppose 4\/9*v + 2\/9*v**2 - 50\/9*v**s + 0 + 8\/3*v**4 = 0. What is v?\nAnswer: -1\/4, 0, 1\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 11*w + 126. Let d(x) = 8*x + 109. Let s be d(-15). Let p be r(s). Solve 0*y - 23 = -3*v + p*y, 2*v + 14 = -4*y for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -a + 1. Let j(r) = -r**3 - r**2 + 2*r - 1. Let b(d) = d**3 + 2*d**2 - 3*d - 1. Let u be b(-3). Determine u*j(v) - o(v).\nAnswer: v**3 + v**2 - v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (9\/(-27))\/((-2)\/144*2).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000026957932 to seven dps.\nAnswer: 0.0000027","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.04 - 2.54. Let h = g + 1.5. What is the second smallest value in h, 3, -2?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 15228 and 67680?\nAnswer: 609120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -469 - -474 - (2 - 89\/(-29))?\nAnswer: -2\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*p + o - 198, -3*p + 2*o = -203 + 49. Find the second derivative of 3614*c**2 + p*c - 15*c - 3555*c**2 wrt c.\nAnswer: 118","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = d + 1. Let z(t) = t + 106. Let p be z(21). Let i = p - 125. Calculate the highest common factor of i and d.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3 + 4. Let u = k - -2. Suppose -5*s = -i - 28, -2*s = -u*s + i + 4. Calculate the highest common divisor of s and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 68193 to the power of 1\/3, to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -23\/1685760 and -29\/39510?\nAnswer: 5057280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.2 and 0.19585136350996.\nAnswer: -0.00414863649004","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -x**3 - 2*x**2 + x - 3. Suppose 0*t = -3*t - 9. Calculate m(t).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*n**5 + 42 - 89 + 46 + 4*n**4 + 7*n + (-5 - n**4 + 5)*(0*n - 3*n + 5*n).\nAnswer: -7*n**5 + 4*n**4 + 7*n - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -857, -1574, -2457, -3590, -5057?\n\"Answer: -14*m**3 + m**2 - 622*m - 222","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 20 + (10 - 13) + -16?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 45 a factor of 855?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (396\/352)\/(9\/48)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor m**4\/2 - 9407*m**3\/2 + 20232195*m**2\/2 + 34266296227*m\/2 - 57348785847508.\nAnswer: (m - 3821)**3*(m + 2056)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c = -q + 231 + 460, 2*c + 685 = q. What are the prime factors of q?\nAnswer: 3, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -656\/35 - -9123\/455. Put i, -1.5, -2 in increasing order.\nAnswer: -2, -1.5, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fufu when four letters picked without replacement from {e: 1, b: 10, f: 3, u: 3, d: 2}?\nAnswer: 1\/2584","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 9*a. Let w(k) = -k**3 + 7*k**2 - 6*k + 2. Let d be w(6). Let r be (-2)\/(4 - d)*-1. What are the prime factors of h(r)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -12 (b) 4\/9 (c) 0.03 (d) 3.328 (e) 1\/3 (f) -8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 700873679 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.0875017 rounded to 2 decimal places?\nAnswer: 1.09","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4168439 and 22?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 97 (b) -2 (c) -1\/7 (d) -5\/4 (e) -175 (f) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 645909 to the power of 1\/2, to the nearest integer?\nAnswer: 804","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 999110126 to the nearest integer?\nAnswer: 31609","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -7, -5, -78304, -0.05, -6\/11 in ascending order.\nAnswer: -78304, -7, -5, -6\/11, -0.05","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 19008 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + m - 26 = -27, -5*p = 3*m + 3. Factor 0*q - 1\/2*q**5 - 1\/2*q**3 - q**4 + 0 + p*q**2.\nAnswer: -q**3*(q + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 367397199?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3415492132?\nAnswer: 2, 13, 271, 242371","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 34.1 + -26. Let r = 0.9 + v. Let p = 9.0084 - r. What is p rounded to 3 dps?\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kttkttk. What is prob of sequence tk?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*((-1*sqrt(245)*2 + sqrt(245) - sqrt(245)) + sqrt(245)*5*4 + sqrt(245))**2.\nAnswer: 353780","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-50)\/4*4\/(-5). Suppose 2*k - 2970 = -4*g, -k + 750 = g + 2*k. Suppose -2*l = -3*x + g, p*l = 9*l + 3. What are the prime factors of x?\nAnswer: 3, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j + 4*h = -0*h - 26, 0 = 3*j - h + 11 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 1\/6645 and 49\/80.\nAnswer: 106320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -5787, -11554, -17329, -23118, -28927?\n\"Answer: -w**3 + 2*w**2 - 5766*w - 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*-5*1*sqrt(832))**2.\nAnswer: 748800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.2 or -11813?\nAnswer: -11813","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1756)\/2195*20\/(-6).\nAnswer: 8\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-18075*h**3 - 14855*h**3 - 5952*h**3 - 1843*h**3)*(2 - 1 + 0) to p*h**2 + g + u*h**3 + s*h and give u.\nAnswer: -40725","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((12\/2)\/(-6)*-3)\/(1863\/(-46))?\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -17*h + 4. Let n be b(-2). Suppose 0 = 35*c - 31*c - 320. Let s = c + 15. Calculate the greatest common factor of n and s.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1883090 and 99110.\nAnswer: 1883090","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 676 + -1027. Is h at most -2\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 804 = 1422*a - 1288*a for a.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express -14*z - 10*z + 3*z in the form p + r*z and give r.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -7*f**2 - 5*f - 2. Let r(j) = 8*j**2 + 5*j + 1. Let q(m) = 2*k(m) + 3*r(m). Suppose 0 = -5*p - 0*p + 25, u = 3*p - 22. Is q(u) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 0 - 3*b - 1 + 2. Is x(-6) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 51530 - 35865. Which is greater: z or 1?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 22*b - 1. Let q(a) = -24*a. Give g(q(j)).\nAnswer: -528*j - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 2, g: 5, k: 6}. What is prob of sequence kr?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 4*y - 14. Suppose y*b + 1445 = b. Let o = b - -408. Is o a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1b6c6 (base 16) to base 8\nAnswer: -333306","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*w + z + 159 = 0, w = -7*z + 2018 - 2015 for w.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 412793 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 2*t + 3. Let g(d) = 1. Let p(k) be the second derivative of k**3\/3 + 6*k**2 + 3*k. Let q(i) = 8*g(i) - p(i). Give 4*h(m) + 3*q(m).\nAnswer: 2*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) be the first derivative of -27*r**4 - 8*r**3\/3 - 8*r - 1597. Let g(o) = 36*o**3 + 3*o**2 + 3. Determine 8*g(v) + 3*p(v).\nAnswer: -36*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express 40*y**4 + y - 5*y**2 + 2*y**2 + 1 + 0 + 2*y**2 in the form m*y + s + k*y**4 + p*y**2 + h*y**3 and give s.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o = 2*h - 11 - 5, -o - 2 = 0. Let k(s) = 6*s + 5. Let u be k(h). Solve 2*m = -4*f - 2, 5*m - u = 7*f - 3*f for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -467b7 (base 12) to base 6\nAnswer: -2005151","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -151141 - 12.\nAnswer: -151153","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 0.63 (b) -4 (c) 3\/7 (d) 1 (e) -2\/23\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2.95 - 1.95. Which is the biggest value? (a) z (b) -2 (c) 0.5 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -221 = -5*o + 2*f, -8*o + 5*f = -4*o - 204. Let q = -4 - -6. Find the third derivative of 32*w**2 - 2*w**2 + 3*w**q - o*w**6 wrt w.\nAnswer: -4920*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -221, -0.41, -430?\nAnswer: -221","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -449780*x**4 + 228*x**3 - 113*x**2 + 9483*x - 7 wrt x.\nAnswer: -10794720*x + 1368","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 252338?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -10 - -35. Is g a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -41 - 639951*j - 8 + 639953*j + j**2. Let q be 20\/(-6)*(-9)\/(-2). Is 19 a factor of c(q)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4323493*n**3*r - 27*n**3 + 15*n**2 + 109 wrt r.\nAnswer: 4323493*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 1208\/320 - 3\/(-5) and 115\/6.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -13*i**2 - 3*i**3 + 13*i**2 - 2 + (-3*i**2 + 4*i**2 + 2*i**2)*(4 - i - 4).\nAnswer: -6*i**3 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = 0, -7*s + 3*s = -3*v - 12. Solve s*l = 2*l + 1 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -3\/31640 = -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 275856 = 275904?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n = -5 - 5, f = n. Let p be 5*-1*6\/(-15) - 1. Put p, -4, f in decreasing order.\nAnswer: p, f, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 x when two letters picked without replacement from {x: 9, a: 2, w: 5}.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/13, 1\/4, 0.067, 5.91, 1, 4 in increasing order.\nAnswer: 0.067, 2\/13, 1\/4, 1, 4, 5.91","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -15*b - 130 - 5 for b.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 2, -5, 5 in descending order.\nAnswer: 5, 2, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express 1117*o + 101 + 67 - 172 as f + l*o and give f.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*m + 19*k - 18*k - 27 = 0, 2*m + 5*k = 0 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 38661+-83571\nAnswer: -44910","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 28 - 25. Suppose r*q - 148 = 5. What is the highest common factor of 34 and q?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 - 3 = -x. Let l = x + 8. Factor 9*a**3 - 2*a**5 + 5*a**3 - 12*a**3 - l*a**2 + 2*a**4.\nAnswer: -2*a**2*(a - 1)**2*(a + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 2*v**3 + 7*v**2 - 7*v + 4. Let w(m) = 2*m**3 + 6*m**2 - 6*m + 3. Let r be (24\/12)\/((-2)\/7). Give r*w(p) + 6*f(p).\nAnswer: -2*p**3 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nnn when three letters picked without replacement from eeneennbeebebbn.\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) be the second derivative of -a**6\/720 + 2*a**4\/3 - 3*a. Let t(g) be the third derivative of y(g). Let k(q) = -15*q. Determine k(t(n)).\nAnswer: 15*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 21470, 1\/2, -2, 14, 5, 3 in decreasing order.\nAnswer: 21470, 14, 5, 3, 1\/2, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 11002201111 (base 3) to base 4\nAnswer: 103231030","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is m in -8836 - 18*m**2 + 71*m**2 - 21*m**2 + 376*m - 19*m**2 - 17*m**2 = 0?\nAnswer: 47","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 719 = 5*k + 19, 0 = -5*r - k + 1845. Calculate the highest common divisor of 18 and r.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 162 a multiple of 34?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.103 + 4.597. Let l = k - 0.7. Which is the nearest to 1\/4? (a) -1 (b) 1\/5 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -114*z + 7. Let n(v) = 64*v - 4. Let w(j) = -5*k(j) - 9*n(j). Let b(s) = s - 1. What is -10*b(c) - 2*w(c)?\nAnswer: 2*c + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 7, j: 2, v: 2, q: 7, g: 1}. What is prob of picking 1 q and 1 s?\nAnswer: 49\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x = -h - 10, 4*h - 2*x - 33 + 3 = 0 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 58*r**2 - 3*r + 1. List the prime factors of u(1).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*u - 5*c + 31 + 9, 3*c = 6. Let s(l) = -l**3 - 5*l**2 + 4*l + 6. Let h be s(u). Calculate the highest common factor of 3 and h.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 339*c - 168*c - 174*c.\nAnswer: -3*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 364411 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 1.4 times -2205.55\nAnswer: -3087.77","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 129854563921 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 + -2 - 4\/(-11 - -10)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (1 + -10)\/((-6)\/4). Suppose 2*s = 2*b - 28, -3*b - 3*s - 23 = -41. Suppose a*l + b = 40. Solve -l*v = -4*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = f**3 + 6*f**2 - 20*f - 27. Let q be i(-8). Find the common denominator of (q - 34\/6)\/((-462)\/261) and 75\/56.\nAnswer: 616","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 181229*y**3 + 59*y**2 - 181*y + 2 wrt y.\nAnswer: 1087374","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2 and 18946?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/4 of a litre in millilitres?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 293880161 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u\/u**(-36)*u**(8\/3))\/(u**(11\/3)*u**13) assuming u is positive.\nAnswer: u**24","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9202?\nAnswer: 2, 43, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -11469 - -573469\/50. What is the common denominator of q and 69\/40?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 11707, 11741, 11793, 11869, 11975, 12117, 12301, 12533?\n\"Answer: l**3 + 3*l**2 + 18*l + 11685","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -61 = -5*o - 4*m, -4*o - 21*m + 24 = -24*m for o.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 194*d = 2*a + 192*d - 6, 10*a - 5*d = 15 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 4\/(-10) - 6\/10. Let u = 3 + w. Suppose -3*a + y - 9 = -4*a, u*y = -3*a + 22. What is the greatest common divisor of a and 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 1, r: 3, p: 1, f: 1, a: 1}. What is prob of picking 1 r and 1 a?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-9)\/(-12)*80\/12. Let s = 1 + 1. Suppose 0 = w - s*f - r - 18, 3*w - 65 = 5*f. Is w a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3.42 + -1.42. What is the second biggest value in 0.7, 6, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16065 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*f - 2*p + 16, 8 = -3*f - 4*p + 35. Suppose 0 = -f*q + 25 - 10. What is the lowest common multiple of q and 1?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, -2, 0, -10, -81, 19.\nAnswer: -81, -10, -2, 0, 7, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-170 + 81 + 76)*(n**2 + 4 - 4)*(2*n + 0*n - n).\nAnswer: -13*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 69987 + -69985. Let x be (2 - (-2 - -6))\/2. Let k be 2\/x*30\/(-4). Solve y*s - k = -s for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -11174 - -11520. Calculate the greatest common divisor of l and 10553.\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1319502286 to the power of 1\/6, to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in three tenths of a second?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 3343 divide 5268892271?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1424 and 27247706?\nAnswer: 178","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1048333 or -1048335?\nAnswer: -1048333","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*t = -548 - 7. Let i = -26 + t. Calculate the remainder when 18 is divided by i.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2 - 2142422443?\nAnswer: -2142422445","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -12 + 0 - (-15 + (-15 - -15))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1279805 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -69 divided by 51254\nAnswer: -69\/51254","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.597424 millilitres to litres.\nAnswer: 0.000597424","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -139\/203670 and 76\/73275.\nAnswer: 994927950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 7*p = 8. Suppose 4*c + 3*j = 567, 8*c - j = p*c + 547. What is the units digit of c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -983*j + 2938. Let i be x(3). Which is the nearest to 5? (a) 2\/9 (b) -2\/5 (c) -0.1 (d) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -1997 - f + 1997. Let i(o) = -286*o**2. Calculate w(i(d)).\nAnswer: 286*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -18, -29, -42, -57, -74, -93, -114?\n\"Answer: -i**2 - 8*i - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 25956 is divided by 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Product of -73 and 2.68.\nAnswer: -195.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 16245 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -153 + 532. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -19287, -38097, -56445, -74337, -91779?\n\"Answer: -i**3 + 237*i**2 - 19514*i - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5? (a) 0.076 (b) 0.1 (c) 17 (d) 0 (e) -569\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 + 185 = 2*p. Let a = p - 81. Solve 0 = -0*k + a*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (3*2)\/(1\/(-7)). Let v be (-4)\/((-11 - -7)*1) + -41. Let d = v - q. Solve -3 = g - d*g for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13654719 divided by 9.\nAnswer: 1517191","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -305, -669, -1033, -1397?\n\"Answer: -364*f + 59","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 386 minutes before 9:43 PM?\nAnswer: 3:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1\/3 (b) -1\/172 (c) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 2\/3 (b) 0.03 (c) -215\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1 + 3)*(-3 - (4 + -8)). Let b(f) = f**2 + 2*f - 6. Let t be b(q). Is 2 > t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (l**3 - 6*l**3 + 4*l**3)*(0*l**2 - l**2 - l**2) + 2*l**5 - 3*l**5 + 2*l**5.\nAnswer: 3*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*k + 860 + 200 + k.\nAnswer: -k + 1060","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand 567*z**5 - 2465*z**5 - 2218*z**5 - 451*z**5 - 2869*z**5 + 2*z**5 + 2*z - 2*z + (8*z - 8*z - 3*z**2)*(-2*z**3 + 2*z**3 - z**3).\nAnswer: -7431*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r**(-3\/2)*r*r**(2\/53))**(2\/61))**(29\/4) assuming r is positive.\nAnswer: r**(1653\/12932)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*a + 3*a + a)*(979 + 700 - 768 + 604).\nAnswer: -1515*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*y**2 - y**2 + 2*y**2)*(-54 - 153 + 21).\nAnswer: -1116*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1 and 68?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -8 - 4d0?\nAnswer: -4d8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 84919105?\nAnswer: 5, 23, 29, 25463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8150261?\nAnswer: 7, 1164323","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 1151 = z + 2*z, -4*z = o - 302. What are the prime factors of o?\nAnswer: 2, 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(7) + -1 + 4)*6)**2.\nAnswer: 216*sqrt(7) + 576","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9796 is divided by 2339.\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -6\/85, -2.5, -786?\nAnswer: -6\/85","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*j - 492 = -2*j. Is -40 bigger than j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1052.\nAnswer: 2, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = l + 4. Let s(v) = -11 + 6*v + l + v. What is the smallest common multiple of s(1) and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z = -2*q - 20, -z + 2*q + 0*q = -5. Let a = 7 - z. Calculate the remainder when 3 is divided by a.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3688888295 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: Calculate -1 + 6 - (-3 + -3 + 6).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4958*k**2 + 2741*k + 1.\nAnswer: -9916","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 22266720 a multiple of 40?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - 2 = -0*o, 3*o + 142 = 2*w. Suppose -3*i + 83 = b - 7*i, b - i - w = 0. Is 31 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a - 13*a + 48 = 0. Is ((2 + 4)\/(-3) + a)*5347 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*r**5 + 24072*r**2 - 24072*r**2 - 52*r**3)*(-3 - 1 + 3).\nAnswer: -2*r**5 + 52*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 254 is divided by 32?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = t**2 - t + 33. Determine c(0).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(8)\/(sqrt(12)\/sqrt(3)) - (-1*sqrt(2) + 0).\nAnswer: 2*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4174855359?\nAnswer: 3, 17, 81859909","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 553?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 983*j + 41000. Determine w(-38).\nAnswer: 3646","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 2 d when three letters picked without replacement from {e: 1, n: 2, p: 1, d: 2, s: 2}.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -152, -98, 52, 346, 832, 1558?\n\"Answer: 8*x**3 - 2*x - 158","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p, 1 c, and 2 h when four letters picked without replacement from {h: 2, p: 3, i: 6, j: 3, c: 1}?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor i**3 + 2760*i**2 - 27675*i + 69250.\nAnswer: (i - 5)**2*(i + 2770)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 25932241 is divided by 10.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 40979 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-5)\/15)\/(14\/18) + (-11220)\/(-1190). Suppose -5*q = -3*q, 5*d = q. Suppose d = -l*p + 43 + 659. Is p a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 45\/83936 and -63\/8296.\nAnswer: 1426912","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = -w + 4. Let x = 22 - -16. Suppose -36*r + x*r = -4. Put w, 4, r in descending order.\nAnswer: 4, r, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-121)\/(-2299))\/((-2)\/4)\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 6*g - 8. Let m be z(-5). Let b = 36 + m. Let a be (-5 + 0)*((3 - -1) + -5). Put b, 3, 0, a in ascending order.\nAnswer: b, 0, 3, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*w**3 + 3 + 2*w**3 - 3.\nAnswer: -11*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out -69.8 * -0.5.\nAnswer: 34.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 9, 0, -1\/2, -9\/53?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = -0*g + 4*a - 72, 5*a = 3*g - 148. Calculate the highest common factor of g and 49.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 41117.36cm to nanometers.\nAnswer: 411173600000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q when two letters picked without replacement from xxxqqqqqqqx.\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 55, 40.5, 3, 508?\nAnswer: 55","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -9*b + 5*b - b - 1. Let a(i) be the third derivative of i**4\/24 + 392*i**2. Determine -6*a(t) - p(t).\nAnswer: -t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -5.35 + 16.25. Let l = h - 10.899397. Round l to five dps.\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = -2*h - 0*f + 250, -514 = -4*h - 5*f. Suppose -h = -3*k + 126. Suppose 0 = -5*w - 2*w + k. Solve -3*l - w = -0*l for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 683845499.\nAnswer: 23, 263, 113051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -j**2 + 23*j - 110. Calculate w(21).\nAnswer: -68","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 2*a**2 - 139*a - 401. Give t(-3).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1*-11 - (46 + -4 + (-387 - -114)). Suppose -l + 0 = -20. Calculate the greatest common divisor of w and l.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*g + 99 = 21 for g.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 323738*s + 7. Let z be 3\/(-2) + (-9)\/(-2). Let p be g(z). Let u = p - 671221. Round u to the nearest 100000.\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -2*c. Let b be m(-5). What is the highest common factor of 30 and b?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) be the second derivative of v**4\/12 - 5*v**3\/6 + 2*v**2 - 2*v. Let m be a(5). Let t = 22 + -20. Sort -5, m, t.\nAnswer: -5, t, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - s = -10. Suppose -s*b + 38 = -32. Does 14 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12287493 a multiple of 1077?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 4430104011 a multiple of 31?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) be the first derivative of -s**3\/3 - 5*s**2\/2 - 5*s + 62. Let x(c) = -3*c**2 - 18*c - 18. Give 18*t(b) - 5*x(b).\nAnswer: -3*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -59\/20 and (23 + 0\/4)\/12?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -47 and 0.606.\nAnswer: -46.394","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2 + -3 - 0 - -4. Suppose 0*y = -3*g + 4*y + k, -3*y - 6 = -3*g. Suppose 105 = -2*d + 7*d - 5*t, -d - g*t + 27 = 0. What are the prime factors of d?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 12*w**2 - 3*w - 2. Let d be 4\/16 + 10\/(-8). Let b(l) = 6*l + 3. Let u be b(d). Is r(u) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -5895 - -529?\nAnswer: -536b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 1, z: 4, r: 2, k: 4}. What is prob of picking 1 a and 1 r?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.3 (b) -5\/4 (c) 0.17 (d) 161 (e) -0.02\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (25\/((-2025)\/36)*(-4959)\/190)\/(4\/(-10))\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -45\/4*o - 3*o**2 + 3\/4*o**3 + 27\/2.\nAnswer: 3*(o - 6)*(o - 1)*(o + 3)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = g - 5. Let s be x(-8). Calculate the remainder when 22 is divided by 0 - 1 - 1*s.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(1 + sqrt(363) - sqrt(363) - (sqrt(3) + sqrt(9)\/(sqrt(48) + sqrt(3)))) + (sqrt(432) + -1 - (0 + sqrt(3) + 4)))**2.\nAnswer: -732*sqrt(3)\/5 + 12063\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 5*k - 34 = 1, -k + 5 = 2*g. Sort -12, g, -6, 3 in ascending order.\nAnswer: -12, -6, 3, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -v**3 - 12*v**2 - 2*v - 15. What is j(-12)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 3*y + 71. Let u be o(-23). Suppose 3*g + b + 21 = 4*b, -u*b + 22 = -4*g. Sort 5, 20, -1\/2, g in descending order.\nAnswer: 20, 5, -1\/2, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 6527*a**4 + 4362.\nAnswer: 26108*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 1 d when two letters picked without replacement from dqdqqogqqndqqttqqnq?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -r**3 + 4*r**2 - r - 1. Let f be w(3). Suppose f = -o + 17. Calculate the greatest common divisor of 30 and o.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6 - 291\nAnswer: -297","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -7798, -8125, -8512, -8989, -9586, -10333, -11260?\n\"Answer: -5*x**3 - 292*x - 7501","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/31, 0.1, -85 in descending order.\nAnswer: 0.1, 2\/31, -85","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 190 + 185 = 0. Let q be 1*-3*(-2 - 1). Calculate the greatest common factor of q and c.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14\/(4312\/42)*2.\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -36*n - 33. Let c be i(-28). Let b be ((-1)\/((-9)\/(-50304)))\/(26\/c). Round b to the nearest ten thousand.\nAnswer: -210000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 49360 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.5 in -0.2, -29\/2, 3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 1, s: 3, t: 3, o: 3}. Give prob of sequence oof.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - (5 - (-1 + 2) - 1)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*a**4\/5 + 134*a**3\/5 - 2432*a**2\/5 + 6144*a\/5.\nAnswer: -2*a*(a - 32)**2*(a - 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (676\/91)\/(-13)*14\/(-4). Solve 16*s = j + 13*s + 4, -2*j = -p*s + 4 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 821515897 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*d + 46 - 41 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16217 - 16217 + w**2.\nAnswer: w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(-1\/4)*m)\/m)**(-8)\/((m*m**(2\/21)*m)\/m**3) assuming m is positive.\nAnswer: m**(61\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-14 - 0 - 1)\/((-1410)\/4700). Solve -28*a = -18*a - z for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4994156278?\nAnswer: 2, 2497078139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2)\/33 + (-8 - (-1837)\/363). Let y(x) = -7*x + 1. Let a(m) = -11*m + 2. Let b(t) = 5*a(t) - 8*y(t). Calculate b(u).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -7, 3, -2, -309, 5 in descending order.\nAnswer: 5, 3, -1, -2, -7, -309","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide 22 by -11.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a hour in minutes?\nAnswer: 15","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + -1 + (0 - (-143)\/88)?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (8\/(-3))\/(-2)*3. Let v = -713 - -712. Put q, -3, v in ascending order.\nAnswer: -3, v, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -2*k + 6. Suppose -27*c + 7*c - 80 = 0. Let g(t) = 2*t - 7. What is c*g(o) - 5*d(o)?\nAnswer: 2*o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 3*i + 13. Let n be v(-3). Suppose -n*b + 3*b - 13 = 0. What is the units digit of (b\/(-2))\/((-2)\/(-4))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 199569679?\nAnswer: 199569679","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -v**3 - 6*v**2 + 6*v - 2. Let t be b(-7). Solve -t*g + 9 = -6 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 675*b**3 + 119035755*b**2 + 31742832*b + 2116188.\nAnswer: 3*(b + 176349)*(15*b + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 3, k: 3, x: 5, y: 1}. Give prob of picking 1 x, 1 k, and 1 h.\nAnswer: 9\/44","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -9*s**3 - 22*s**2 - 1549. Let k(d) = 5*d**3 + 12*d**2 + 775. Determine -11*k(x) - 6*z(x).\nAnswer: -x**3 + 769","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 54 a factor of 982?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 6 * -572.2803\nAnswer: -3433.6818","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 5*j**5 + 12*j**3 - 10*j + 8 wrt j.\nAnswer: 100*j**3 + 72*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 1 k when two letters picked without replacement from {t: 2, k: 4, v: 1}?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from adaazzdd. What is prob of sequence da?\nAnswer: 9\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from prpppppprr. Give prob of sequence prpp.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 31527854?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -465da503 + 1?\nAnswer: -465da502","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1032000 rounded to the nearest 100000?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*g = 11*g - 94. Let y = 59 + g. Let u(i) = y*i**3 - 2*i + 4 + 0*i**2 + i**2 - 6*i**3 - 3. Determine u(1).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 95*z - 1164. What is j(12)?\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*d - 5*d + 0*d)*(128 + 379 + 50 + 434) to the form l + n*d and give n.\nAnswer: -2973","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 237788925454 + 67.\nAnswer: 237788925521","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 113648?\nAnswer: 2, 7103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*(z*z*z**(-1\/3)*z*z*z)\/z*z**(5\/3))\/(z**12\/((z\/z**(-7\/5))\/z)) assuming z is positive.\nAnswer: z**(-64\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 142652025?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.04? (a) -1 (b) 0.02 (c) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - 9*d + 22 = 0. Suppose -19 - 23 = -d*x. Is x a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 96575 and 100?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 x when two letters picked without replacement from {t: 2, x: 3, k: 7}.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 37\/2 of a millennium in decades?\nAnswer: 1850","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 557756 to the power of 1\/7, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 6320.251 to the nearest 100.\nAnswer: 6300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -22 - 211220?\nAnswer: -211302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -1 (b) 1 (c) -0.092\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w - 5*c = -147, 0 = -5*w + 5*c + 90 + 115. Suppose 0*l = 2*d - 5*l - w, 3*d = -3*l + 66. Does 11 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -h**3 - 78*h**2 - 257*h - 31. Give b(-3).\nAnswer: 65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -x**2 + 7. Let s(o) = o**2 - 6. Let r(z) = 6*i(z) + 7*s(z). Let n = 6 - 4. Let f(p) = 23 - 2*p**n - 23. Calculate f(r(g)).\nAnswer: -2*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -3405 (base 10) to base 2\nAnswer: -110101001101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 110 - 659\/6. Which is the nearest to -8? (a) -3\/2 (b) -2 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1 + (-3 - -2))\/1. Let i be -5 + (-7 - (-16 - -1))*1. Put p, i, -4 in ascending order.\nAnswer: -4, p, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y = 4*l - 20, -2*l + 2*y + 13 = l. Let f be -4*((-6)\/4 + l). Let d be (-3209999)\/(-3) - f\/18. Round d to the nearest 100000.\nAnswer: 1100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 101\/((-44945)\/(-3471))*1\/(-3).\nAnswer: -13\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15117 is divided by 25?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 + 16)*(-44)\/792*117?\nAnswer: -91","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = x**3 - 2*x**2 - 15*x - 13. Let y be t(6). Suppose 888 = -y*i + 43*i. Is i\/22 - 6\/33 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3750 and 406275.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2447 + 2447.1. What is the nearest to -1\/2 in a, -0.5, -37?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -31977, -63957, -95937, -127917?\n\"Answer: -31980*t + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l = -5*x - 70, -2*l - 3*x - 2*x = -20. Let n = l - 10. Suppose -8 = 5*s - n*c - 38, -9 = -2*s - c. What is the units digit of s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 19545?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*d + 21 = 3*f, 4*f - 13 = d + 2 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -10*x**3 - 41*x**2 + 456*x - 2. Give z(5).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 = 3*d + 5*c, -d - c - 11 = -3*c. What is the tens digit of (d - 634\/(-6)) + (-23)\/(-69)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 266*i = 265*i + 2*s + 15, s = 2*i - 12. Let j(b) be the first derivative of 95*b**2\/2 + 6*b + 2. Is j(i) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-42)\/4*(-24)\/9. Suppose 0 = 27*m - 15*m - 36. Calculate the least common multiple of 24 and m\/7 + 744\/b.\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in one fifth of a milligram?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1040 by 260.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -121056*s**5 + 19019*s wrt s?\nAnswer: -2421120*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 410415 by -15.\nAnswer: -27361","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*j**3 + 3*j**2 - 3*j**2 - 10*j**3.\nAnswer: -15*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(-9)*(975\/20)\/(-13)*42\/(-49)?\nAnswer: 5\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y - 5*t = 1, y + 5*t = -2*y + 3. Let h be y\/6*(-21)\/14. Solve 5 = s + h for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 20*r**2 + 1330*r + 23. What are the prime factors of f(-88)?\nAnswer: 3, 7, 601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5678512 rounded to one dp?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 27745 times -0.17?\nAnswer: -4716.65","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = i**3 + 58*i**2 + 7*i - 2829. Let b be h(-57). Solve -5 = -2*r + 3*q, -24*q + b*q + 10 = -5*r for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*m + 3*m + 90 = 0. List the prime factors of m.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.02032 take away 10198312764?\nAnswer: -10198312763.97968","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.3332165l to millilitres.\nAnswer: 333.2165","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) be the third derivative of n**6\/40 - n**5\/20 + 18*n**2. Factor r(m).\nAnswer: 3*m**2*(m - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 204734.\nAnswer: 2, 102367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 1725 divided by -345\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -j**3 - j**2 + j + 260. Suppose -10*u = -0*u - 0*u. List the prime factors of s(u).\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 8*t + 3 - 11 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Product of -35764 and -0.31.\nAnswer: 11086.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2)\/(-4)*0\/(-5). Let y be (-611)\/(-7) - 2\/7. Suppose n = 3*t + v - y, -2*v + 20 = -3*t + 116. Solve 3*j + r + 20 = 0, -r = 6*j - j + t for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-2)\/7 - ((-24030084)\/420 + (-1)\/(-5)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 314 at most -14320.9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4125230 and 19710.\nAnswer: 730","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1960*i = 2*m + 1963*i - 35, -m = 11*i - 65 for m.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 3*i + 4*i - 5*i)*(-1 + 1 - 1)*(-4*i + 0*i + i).\nAnswer: 6*i**2 - 3*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1916*-21363.\nAnswer: 40931508","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -p**3 + p - 1. Let g(l) = -6*l**3 + 5*l - 5. Let x be -2*-1*(-5)\/(-2). What is x*w(y) - g(y)?\nAnswer: y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (6 - 0) + -4 - 0. Solve 0 = 3*d - a + 6, 0 = 4*d + w*a - 5 + 23 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = l - 63 + 71 for l.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 210?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a = -3*q + 124, -5*q + 60*a + 197 = 57*a. Solve q = -91*v + 99*v for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = y**2. Let o be (-1)\/((9\/3)\/(-15)). Let r = o - 2. Let a(v) = -v + v + r*v - 8*v. Determine a(m(n)).\nAnswer: -5*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5565177?\nAnswer: 3, 107, 5779","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 400 minutes before 10:12 PM?\nAnswer: 3:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -10269129.6 and -8.56923?\nAnswer: 10269121.03077","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d - 5 + 25 = 0, 0 = 4*c + 4*d - 76. Let n(q) = -12*q**3 + 19*q**3 + 7*q**2 - 8 - 10*q**3 + c*q. Is n(-7) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 71*u**2 + 96*u**2 + 42*u**2 - 9*u**2 + 45*u**2 - 3 to f*u**2 + w*u + c and give c.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -1020210011000 (base 3) to base 12\nAnswer: -280990","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 123 divide 7872?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 5244467 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (-54)\/(-333)*(-4)\/12 + (-2364)\/74\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.1 (b) -5 (c) 4 (d) 36\/19 (e) -14.59 (f) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 27*t**3 + 0*t + 0*t - 2770695978 + 2770695978.\nAnswer: 27*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 4, 1, 5.2, 3, 1\/6?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 53 by 1.\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand -63*o + 59*o - 71*o - 54*o + (0*o + 4*o - 3*o)*(-10 + 5 - 1).\nAnswer: -135*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -s. Let h(b) = -9 - 3*b + 9. Determine h(m) - 2*p(m).\nAnswer: -m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 31085?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -154*s - 32. Let m(t) = 62*t + 14. Let g(x) = -10*m(x) - 4*r(x). Determine g(-2).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 + -20942.716\nAnswer: -20943.016","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is eighty-nine halves of a meter in centimeters?\nAnswer: 4450","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 10165.5 - 8338. What is z rounded to the nearest 100?\nAnswer: 1800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-141)\/27 + 484\/2178?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in o**2 + 0*o**2 - 39*o + 14*o**2 - 676 + 11*o**2.\nAnswer: 26*o**2 - 39*o - 676","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find j such that 5*j**5\/4 - 3*j**4\/4 - 17*j**3\/4 + 19*j**2\/4 - 1 = 0.\nAnswer: -2, -2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-3))**(1\/3)*n**15\/n**(-4) assuming n is positive.\nAnswer: n**18","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -s - 9. Suppose -4 = -3*y + 2. Suppose 8 = y*r - 26. Suppose -5*l - 5*g = -g + 9, -2*g - r = 5*l. Give k(l).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 38 minutes after 12:19 AM?\nAnswer: 12:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -5, -16, -4 in ascending order.\nAnswer: -16, -5, -4, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 457, 1219, 2515, 4357, 6757?\n\"Answer: 2*h**3 + 255*h**2 - 17*h + 217","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 3199 to the nearest 1000.\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:45 AM and 1:57 PM?\nAnswer: 252","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + i + 2 - i - 2 + 2 - 3*i + 4*i - 2*i + (2 + 0 - 1)*(4*i - 5*i + 0*i))*((2*i**3 + 2 - 2)*(-2*i - 2 + 2) + 7 - 7 + i**4 - i**4 + i**4 + i**4).\nAnswer: 4*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -43 - -138. Suppose -4*v = v - q. What is the tens digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*p + 5*u + 25, -2*u + 25 = 5*p - u. Solve -p*l = -7 - 18 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -11.11846 to 2 dps.\nAnswer: -11.12","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-32)\/136)\/((-60)\/510). Solve -17 = h - 10*p + 6*p, p - o = h for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 20 and 1040.\nAnswer: 1040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 508\/774713 bigger than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 14*q + 96. Let g be v(-8). Let l be (5\/3)\/((g\/(-12))\/4). Which is the third smallest value? (a) -3 (b) -0.5 (c) -0.3 (d) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 294659 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4597014?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) be the first derivative of s**3\/3 + 3*s**2\/2 - 1. Let g be i(-4). Suppose -5*m + 5 = -4*m, 0 = -g*y + 5*m - 21. Let t(r) = -6*r + 1. Give t(y).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000503547384 to 6 dps.\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4164, -4161, -4158, -4155, -4152?\nAnswer: -4149","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m, 2 h, and 1 y when four letters picked without replacement from {w: 5, i: 1, y: 3, h: 2, e: 3, m: 1}.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -2720000 rounded to the nearest 1000000?\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 13 + -12.65. Let u = 5023 - 5018. What is the second biggest value in 1, i, u, 0.1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 6*p**4 - 64*p**3 - 26*p**2 + 44*p.\nAnswer: 2*p*(p - 11)*(p + 1)*(3*p - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 355754671 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*s = -396 + 361 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 8 - 7. Let u = 4 + g. Which is the closest to u? (a) 0 (b) 0.2 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -4 + 0 + (7 - (-583 + 4)). Suppose -4*v + 794 = -h. List the prime factors of v.\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 100101112122220 (base 3) in base 7?\nAnswer: 60263346","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*h**3 - h**3 - 2*h**3)*((2*h + 7 - 7)*(2*h - 2*h + h) - 2*h**2 - 7*h**2 + 3*h**2)*(27 - 16 - 104 - 85).\nAnswer: -712*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 85*w**3 + 193*w**2 wrt w?\nAnswer: 510","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = 5 - 71. Let l = g - 2. What is the least common multiple of l and 122\/15 + ((-10)\/2 - 292\/(-60))?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1558)\/(-14) - 3\/((-168)\/(-16)). Let w(c) = 5*c**2 - 111*c + h*c + c**2. Let u(s) = 4*s**2. What is w(u(q))?\nAnswer: 96*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_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: Suppose 5*c - 40 = 50. Let g be 96\/c - (-4)\/6. Solve -g = -p + 4*r, p + 3*r - 3 = 4*r for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 333702248*n*o**2 + 126*n*o + 12*n + 6902 wrt o.\nAnswer: 667404496*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 290 + 294 - 584 - 17*x.\nAnswer: -17*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 52752.521*2\nAnswer: 105505.042","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 286*k - 346*k + 912 = 192 for k.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1014.1 * 8.8.\nAnswer: 8924.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 10661?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**2\/(r**(-2)*r)*r**(2\/9)*r**(3\/4) assuming r is positive.\nAnswer: r**(143\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -19509, -15, -9?\nAnswer: -15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -8 - -4 - (1 + -7)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -23, 564, 15, -1 in decreasing order.\nAnswer: 564, 15, -1, -23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 77611 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -1003014 (base 5) to base 7\nAnswer: -64450","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*i - 8*i + 10 = 0. Let o be ((-7)\/(-70)*5)\/(i\/(-52)). Solve 4*f - 8 = -3*q + 5, -q + 3*f = o for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -1282 - (7 - -1 - 9). Let j = p + 126824\/99. Which is bigger: 0 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 5, -0.72, -11\/4?\nAnswer: -11\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -213 + 14201121240?\nAnswer: 14201121022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ea when two letters picked without replacement from uuaaeeeaeueeeuguu.\nAnswer: 21\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 10647 and 156?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*l + l. Let a = l - 0. Solve 3*t = -5*w + 6, a = 4*w + 3*t - 3 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j = -a - 8*j + 1, 3 = 3*a + 4*j. Is 6\/11 less than or equal to a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((10\/675*-15)\/((-30)\/81))\/(2\/35).\nAnswer: 21\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(225)\/sqrt(5) + sqrt(180) + 1.\nAnswer: 1 + 9*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 68 - 69. Which is the biggest value? (a) 1\/5 (b) -2\/9 (c) -0.5 (d) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 450828 and 1272?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -172 - -210. Solve -32 - v = -14*k for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d = -b + 3*d - 4, 2*b = -5*d + 3. Let m(j) = 2*j**2. Let g be m(b). Factor 0*v**4 - 5*v**5 + g*v**4 + 3*v**5.\nAnswer: -2*v**4*(v - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 63 - 58.1. Let h = w + 0.1. Which is the third smallest value? (a) -0.4 (b) 0.1 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 4 = 0, 4*x + 19 = 3*k + 2. Let v = k + -4. Let j(f) = -f**3 + 7*f**2 + f - 2. Give j(v).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-336)\/(-448))\/((-1)\/4). Suppose g = 63 - 23. Let t be (-6)\/(-9) - g\/78. Sort v, -1\/5, t.\nAnswer: v, -1\/5, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1846 + -1645. Calculate the greatest common divisor of 15 and d.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 - 84?\nAnswer: -81","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -150915*j**5 - 166843*j?\nAnswer: -3018300*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 10, 145, 2 in increasing order.\nAnswer: 2, 10, 145","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 times 0.141?\nAnswer: 0.564","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(-17)*25\/((-550)\/44)?\nAnswer: -4\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2813, -2071, -921, 631, 2579, 4917?\nAnswer: 7639","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*r = -3*n - 32, 4*r = -2*n - 3 - 21 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8103 = 18*k + 8193. What is the smallest value in k, 5\/3, -4\/7, -6\/11?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 90 + 245874*v - v**2 - 245878*v - 30.\nAnswer: -(v - 6)*(v + 10)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 13513970 and 470?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 86 - 86. Let j be (0\/(-4))\/2 + h. Suppose j = -3*n + o - 3 + 11, -n + 2*o = 4. Calculate the lowest common multiple of 28 and n.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 + 6*o**3 + o**3 - 3.\nAnswer: 7*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, -35, -2\/5, 4\/3, 3 in decreasing order.\nAnswer: 3, 4\/3, -0.2, -2\/5, -35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = q**2 - 5. Let g be p(0). Let n = 5 + g. Suppose -17 = -3*d + 6*i - i, n = 4*d - 5*i - 21. What are the prime factors of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 174422968.\nAnswer: 2, 21802871","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 23\/109 and 81\/31321150.\nAnswer: 31321150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 2833358?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -21 in -130, -1\/6, 2\/7?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 82*y - 79. Let r(f) = 45*f - 42. Let d(w) = -6*o(w) + 11*r(w). Determine d(8).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 67\/4 and -1\/5786.\nAnswer: 11572","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:09 PM and 8:38 PM?\nAnswer: 209","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 4*w**2 - w - 1. Let b(o) = 4*o**2 - 2*o - 2. What is -2*b(t) + 3*g(t)?\nAnswer: 4*t**2 + t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 360 minutes after 6:18 AM?\nAnswer: 12:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 44282040 divided by -67094?\nAnswer: -660","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2\/(-5)*(7 + 3). Let y(s) = -2*s - 3. Let r be y(f). Solve r*o = 2*p - 35, 2*o + 35 = -0*p + 5*p for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1637 is divided by 337.\nAnswer: 289","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*s + 22*s + 5*u + 72 = -73, -11*s + 4*u + 86 = 0 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0245 take away 7799.75?\nAnswer: -7799.7745","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -182 + 35 = -7*i. What is the remainder when 34 is divided by 61\/7 + 69\/i + -3?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -56*d*z**3 - 687632*d*z + 5635*z**3 - 4*z**2 - 67*z wrt z.\nAnswer: -336*d*z + 33810*z - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 55404411*o - 129068213 wrt o.\nAnswer: 55404411","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 4\/(-3)*(-6)\/4. Let z(w) = -w**2 - 3 + 6*w + 5*w**2 + 8 - 2*w**2. Let f be z(-4). Solve -5*r + o - 1 = f, i*r - 2*o = -4 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33 a factor of 71148?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2450*m + 37107 + 13205 + 1138 = 0 for m.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -12? (a) 2 (b) 0.3 (c) 1 (d) 7 (e) -1\/2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 18 - 7 - -2 - 12?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 489968 and 615712?\nAnswer: 69575456","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -11105259 or -11105260?\nAnswer: -11105259","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 3264 divided by 17\nAnswer: 192","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 354 minutes after 5:56 AM?\nAnswer: 11:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 19910425 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 - 1 + 2)*(-d - d + 4*d) + 0 + 0 - 3*d)*(-8*d - 8*d - 3*d**3 + 13*d).\nAnswer: 3*d**4 + 3*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (30\/(-9))\/(60\/8*(-1)\/18).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1799\/6 - -901\/3. Let v be 1*(-1)\/18*-3. What is the nearest to 1 in -9, 4, a, v?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.0573*7.4\nAnswer: -0.42402","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h*h*(h\/h**(3\/4))\/h*h)\/h)\/h*h)**(-1\/45) assuming h is positive.\nAnswer: h**(-1\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 11271 divided by 3757?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -12*r + 2*r + 14*r + 2*r - 2*r + 9. Let o(y) = -y + 10. Let j(z) = 5. Let m(x) = -5*j(x) + 2*o(x). What is -7*m(d) - 4*v(d)?\nAnswer: -2*d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 240.4307 years?\nAnswer: 2885.1684","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve j - 32 = -m, -3*m + 1936 = 171*j + 1672 for m.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2861579141 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -274 - -273. Let c = 23 - 18. Let m be 12\/c + (-14)\/35. What is the second biggest value in 0, m, q?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*g = -16 - 114. Let h be g\/((-988)\/8) + 234\/57. Sort -0.09, h, 0.5 in decreasing order.\nAnswer: h, 0.5, -0.09","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1068 - 525 = 13*h + 660 for h.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-7)\/(-3))\/(2205\/5670).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-185)\/(-25) + (-4)\/10. Suppose 332 = 4*g + 24. Calculate the greatest common factor of g and c.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j = -4*i + 30, 4*j - 3*j + 3*i + 40 = 0. Let r be ((-15)\/j)\/(2\/(-10)). What is the smallest common multiple of 6 and 4 - (4 + -2) - r?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -106*f*g**3*v - 3*f*g**3 + f*g**2*v - 7*f*g**2 - 242893*f*g*v - 8*g**3*v - 10*g**3 wrt g.\nAnswer: -636*f*v - 18*f - 48*v - 60","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -12196, -1, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 22496 is divided by 2542.\nAnswer: 2160","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 3 = -2, -5*i + 330 = -4*x. Let v be (2\/4)\/(2\/28). Suppose -o - 4*p = -17, 3*o + 3*p - 67 + v = 0. Calculate the remainder when i is divided by o.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*q**2 + 36*q + 40*q - 77*q.\nAnswer: 7*q**2 - q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1248402 to the power of 1\/2, to the nearest integer?\nAnswer: 1117","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 12192917500 rounded to the nearest one million?\nAnswer: 12193000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -57 + 27 - -25 - (-3 + 0) - 5?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 14821534 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: What is the value of 5 - (-8 - -17 - 17) - (1 + 4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2320 a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 75814*y**4 + 57957?\nAnswer: 303256*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.25 - -0.54. Let m = w - 0.4. Let n = -0.10953 - m. Round n to four decimal places.\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u**5\/3 - 40*u**4\/3 + 28*u**3\/3 + 184*u**2\/3 + 38*u = 0.\nAnswer: -1, 0, 3, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 360 - 147 + 21*t**2 - 17*t**2 - 147 + 90 - 156.\nAnswer: 4*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -0.2*68\nAnswer: -13.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*f - 21*f + 32*f - 16*f.\nAnswer: -13*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0 + 0. Suppose j = d - o - 8, -2*o + 4 = 5*d + 2*o. Let l be 7\/((-2079)\/12) - 10\/55. Which is the nearest to 0.2? (a) l (b) 2\/13 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cooc when four letters picked without replacement from {b: 1, o: 2, c: 3, n: 3, h: 3, i: 2}.\nAnswer: 1\/2002","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) be the second derivative of g**4\/6 + 9*g - 11. Let l(n) = n**2 + n - 1. Let s(u) = 13*u**2 + 6*u - 6. Let y(h) = 6*l(h) - s(h). Calculate y(z(j)).\nAnswer: -28*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 0 - -51c0?\nAnswer: 51c0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 704 minutes after 9:36 AM?\nAnswer: 9:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -453 - -756. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4 by -29132.\nAnswer: 1\/7283","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 342845.4 weeks to seconds.\nAnswer: 207352897920","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = p**3 + 8*p**2 + 33*p - 15. Determine o(-5).\nAnswer: -105","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -20*p**2 + 1015*p - 86. Calculate d(52).\nAnswer: -1386","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 1\/521?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1974957.09 rounded to the nearest one hundred thousand?\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 89\/97554760 and 73\/26960?\nAnswer: 195109520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/(-1))\/((-3468)\/(-56066)) + 24?\nAnswer: -73","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 - 1 - (7 - (1 + 1)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*j - 4*m + 48, 2*m = -5*j + 9 - 69. Let l be (-2)\/6 + j\/(-6). List the prime factors of (-7 + l)*3\/(-1).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q**2\/4 + 9361557*q\/2 + 29212916488083\/4 = 0.\nAnswer: -3120519","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 130\/(-14) - (2\/(-7))\/1. Let k(c) = -127*c - 1. Let v be k(m). Suppose 4*l + 2297 = 4*a + 9*l, -2*a = -4*l - v. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -3\/306344?\nAnswer: -3\/306344","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4599589?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -5.06, 23, 4, -14, 13\/5?\nAnswer: -5.06","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(4400)*-3 + sqrt(44) - (-2*sqrt(3564) - sqrt(3564)))\/((sqrt(176)*1)\/(sqrt(704)*-2)).\nAnswer: 16*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 631 minutes before 2:35 AM?\nAnswer: 4:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2 + 6 + 0)*-1. Let z = n - -9. Suppose a - k = -5, -3*a = 2*k - 0*k - 10. Sort -4, a, z.\nAnswer: -4, a, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -34 + 43. Suppose 239 + q = 8*g. Is 1\/4 < g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 11 - 10 + 3*w - 1. Let z(m) = m**2. Give i(z(q)).\nAnswer: 3*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = z**2 - 21*z - 19. What is g(22)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-50)\/m**(18\/11))\/(m*m**49*m**(-2\/37)) assuming m is positive.\nAnswer: m**(-41344\/407)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15461*l - 15440*l - 231 = 0. Calculate the remainder when 3012 is divided by l.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 4*x - 5. Let s(k) = 22*k - 27. Let t(j) = -6*h(j) + s(j). Determine t(-1).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 69 at most as big as 486\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 356 - 760 + 348 - 3*n**3.\nAnswer: -3*n**3 - 56","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1.9 - -4.9. What is the second smallest value in 3\/8, -2\/15, w?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 27275, 54558, 81847, 109142, 136443?\nAnswer: 163750","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4536)\/116424)\/((-26)\/154)?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 173436 + -218702833\/1261. Calculate the common denominator of 27\/2813 and c.\nAnswer: 36569","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 28\/(-12)*4\/14. Let d be 10\/(-65) - (-129)\/78. Do q and d have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 43*r - 31*r + 3168. List the prime factors of 4\/(3\/((-15)\/(-10))) - r.\nAnswer: 2, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -0.5 (b) -21 (c) 2\/483\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q = -27*i + 26*i + 8, 4*i + 33 = 5*q for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -13, -28, -43, -58, -73?\nAnswer: -88","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) be the third derivative of -1\/12*v**6 + 4\/105*v**7 + 0*v**4 + 2 - 2*v**2 + 0*v + 1\/15*v**5 + 0*v**3 - 1\/168*v**8. Factor t(a).\nAnswer: -2*a**2*(a - 2)*(a - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.899 * 23913.\nAnswer: 45410.787","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 8941 to the nearest integer?\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 492113 is divided by 2679?\nAnswer: 1856","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -5379*d - 26293*d + 9792*d in the form q*d + p and give q.\nAnswer: -21880","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 140 and 2392380.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:18 AM and 3:34 AM?\nAnswer: 136","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 64 (b) 0.4 (c) 181\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/3 in -11, -2.7, 1\/10, -7.17?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -826, -755, -684, -613, -542?\nAnswer: -471","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3177522645?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -2*l + 20. Let j be a(9). What is the third derivative of -34*h**3 - 5*h**2 + 24*h + 2*h**2 + 11*h**3 + h**j wrt h?\nAnswer: -138","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.3 + -0.1. Let n = 41 + -41. What is the nearest to -2 in q, 4\/5, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (10 - (-364)\/(-35)) + 0.\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-18)\/9)\/(1 - (3 + 0)). Suppose 2*u - 31 = 5*x + c, 5*u = 4*x + 46. Calculate the lowest common multiple of u and 17.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 624 minutes before 3:59 PM?\nAnswer: 5:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 61127 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -7? (a) -0.2 (b) 4 (c) -2.5 (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -b**3\/3 + 1412*b**2\/3 - 580580*b\/3 + 55357984\/3.\nAnswer: -(b - 638)**2*(b - 136)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 948449 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = c**2 - 23*c - 419. Determine t(33).\nAnswer: -89","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 5*h = -34895, -4*w + 5620 = 5*h - 22251. Is w at most as big as 6974?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 * -112517\nAnswer: -225034","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -c**2 - 6*c + 1. Let o be m(-3). Calculate the remainder when ((-12)\/o)\/(3\/(-70)) is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3 - 1. Let h be ((-989)\/1725 + (-1)\/(-3))*(-900)\/(-270). Which is the fourth smallest value? (a) -3 (b) n (c) h (d) 2\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/3983477 or 1?\nAnswer: -2\/3983477","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 2 + 127*n + n**3 - 127*n. Let f be y(0). Solve f*p - 3 = -13 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 395430 by -105.\nAnswer: -3766","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -17687316 and -10.848?\nAnswer: 17687305.152","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Are -1\/1356 and 2\/3 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -1968.4 to the nearest one hundred.\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -c**3 + 16*c**2 - 15*c - 14. Let i be u(15). Let r = -9 - i. Let m(a) = -2*a + 3. Let k be m(-6). Solve -r*b - 5*z - k = 0, 15 = 4*z - 9*z for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 2\/7 (b) 2\/9 (c) -103 (d) 316 (e) 1\/6 (f) 0\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 595 is divided by 178.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 42\/(-6)*3\/((-42)\/4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -z - 6. Let n be k(-8). Suppose -5*u = -4*a, 0 = -5*u + 3*a + n + 3. Suppose 0*l = r + 2*l + 3, 0 = 2*r + 5*l + 7. Sort u, r, -5 in ascending order.\nAnswer: -5, r, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1723 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -13 - -18. Let i = -4 + y. Let m = -9 - -10. Is m less than i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23 = -t + 5*g, -24 = -5*g + 1. Suppose 2*i + t*i - 2*c = 110, -65 = -3*i - 2*c. Calculate the remainder when i is divided by 14.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*j = 5*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -y**3 + y - 5. Suppose -2*v = v. Let s be n(v). Sort s, 2, 1.\nAnswer: s, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:37 PM and 5:57 AM?\nAnswer: 560","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2426*r + 1213*r - 28*r**3 + 1213*r.\nAnswer: -28*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + sqrt(864)\/sqrt(8) + (-2*-2*sqrt(3))**2 - -3*-1*((-1*sqrt(9))\/sqrt(3) + sqrt(6)\/sqrt(2) + -2).\nAnswer: 6*sqrt(3) + 58","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 251409?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -2*f**2 - 25*f - 28. Give i(-15).\nAnswer: -103","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*d + 5*b = -20, -45*d = -46*d - 5*b - 5 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 80*z - 1242. Let k be m(23). Calculate the highest common factor of k and 130.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine b, given that 20*b**5 - 156*b**4 + 152*b**3 + 528*b**2 - 928*b + 384 = 0.\nAnswer: -2, 4\/5, 1, 2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n = -2*o - 6, 0*o - 2*o - 4*n - 16 = 0. Let f be (-1)\/o*(-8)\/12. Let x be 1*-1 - (-7)\/9. Which is the nearest to -0.2? (a) f (b) x (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*a + 4*r + 24, -2*a = r. Let s = a - 2. Suppose -2*w - 492 = 2*d - 7*d, s = 3*w - 12. What is the hundreds digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 1 = -h - 0*p, 3*h + 2*p = -5. Let f = 8 + h. Let i be (-18)\/(2898\/(-791)) + (-8)\/92*-1. Solve -f*q = -i*r - 15, r + 13 = 4*q - q for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = 5*t + 3, 1 = 3*s - 2*s + 3*t. What are the prime factors of ((-64)\/(-4) - -1)*s?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2011, -2004, -1997, -1990, -1983?\nAnswer: -1976","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.2338 - 0.0482. Which is smaller: -2 or u?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2*-1)\/((-68)\/(-17))?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -2242734.58416 from -0.13.\nAnswer: 2242734.45416","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 0.05 times 4875\nAnswer: 243.75","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1558446?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -9*c**2 + 4*c - 7. Let m be k(5). Let a = m + 344. List the prime factors of a.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*-3*sqrt(1053)*-3.\nAnswer: -81*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 1 t when two letters picked without replacement from etyacyyycctcyytca?\nAnswer: 9\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 12.9 - 1.9. Let f = 9 - j. What is the second biggest value in 5, -0.04, f?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -1\/263 and 0.1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1921592 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.17713 * 0.1.\nAnswer: 0.017713","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*u**6 - 492*u**5 - 1204*u**2 - u wrt u?\nAnswer: -240*u**3 - 29520*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) be the third derivative of -o**4\/24 + 7*o**3\/3 + 5*o**2. Let c be n(10). What is the greatest common factor of c and 20?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -6396.3 and -4232.\nAnswer: 27069141.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 595 and 175105?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(180) - (sqrt(180) + 2) - sqrt(180)) + 5)**2 + (sqrt(10)\/(sqrt(2)*-1))**2*6.\nAnswer: -36*sqrt(5) + 219","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -2*l**3 + 3*l**2 + 5*l - 12. Let j be v(2). Let t(g) = 2*g**3 - 2*g**2 + 5*g + 3. Let s(a) = -3*a**3 + 2*a**2 - 6*a - 4. Give j*t(u) - 5*s(u).\nAnswer: 3*u**3 + 2*u**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 223482 and 28560.\nAnswer: 714","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 59*r**2 + 149*r + 18. What is i(-5)?\nAnswer: 748","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 702 + -918.6. Let d = p - -217. Let r = -6 - -6. What is the closest to -0.6 in d, -1, r?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/33)\/((-24)\/(-66))*38\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -31.6 (b) -0.0234 (c) 302\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -4*q + 6. Let s(c) = -5*c + 7. Let f(v) = -6*j(v) + 5*s(v). Let m(n) = 4*n + 1. Let z(y) = -3*f(y) - m(y). Determine z(-4).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -g**3 + 9*g**2 - 11*g + 24. Let d be (0 - 6\/(-45)) + (-236)\/(-30). Let r be n(d). Which is smaller: -18 or r?\nAnswer: -18","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 327 minutes before 4:02 AM?\nAnswer: 10:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -182*n**2 + 10*n**2 - 137*n**2 - 39*n**2 - 285*n**2.\nAnswer: -633*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 577964091?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 17\/(-17)*(-1)\/(6\/30)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 57075 + 0.2.\nAnswer: 57075.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 234 a factor of 407160?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -1100786, -2201534, -3302282, -4403030, -5503778?\n\"Answer: -1100748*h - 38","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 11 + 636\/(-132) + -6. Which is the second smallest value? (a) 23 (b) z (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 91818*v**2 + 380*v - 30609*v**2 - 30602*v**2 - 30608*v**2 to the form u*v + o + i*v**2 and give i.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -10*s. Let t(j) = 102*j. Determine y(t(z)).\nAnswer: -1020*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 2, a: 1, d: 2, o: 1}. What is prob of picking 1 a and 1 d?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 255 minutes before 12:16 PM?\nAnswer: 8:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor h**3\/2 - 21*h**2 + 208*h.\nAnswer: h*(h - 26)*(h - 16)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-2\/19)\/k)\/k**(-14) assuming k is positive.\nAnswer: k**(245\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + -6 + (1 - -3)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gjfjdhsghsss. What is prob of sequence dsg?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 961248 is divided by 961214.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 926085.\nAnswer: 3, 5, 107, 577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14 - (-11 - (8 - 26))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 175822071.\nAnswer: 3, 58607357","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/10)\/((-286)\/(-65))?\nAnswer: -1\/22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 13*y + 95. What is w(-3)?\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 8237928 and 336.\nAnswer: 115330992","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 1684728 to the nearest one hundred thousand.\nAnswer: 1700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 38668235 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*x + 4 = -6*x. Let f be (-10)\/(-2) + (x - 6). Suppose v + 4*r = 19, -2*v - f = -2*r - 9. List the prime factors of v.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 362 - 361.99. Which is greater: a or 1\/10?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/90*90\/18?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1331 (base 4) in base 9?\nAnswer: -148","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.358 and -0.1036589.\nAnswer: -0.0371098862","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1706 - -1705.6. What is the smallest value in 3\/17, -1\/2, l?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1 + 213982014592.\nAnswer: 213982014593","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 2*m**2 - 15*m - 25. Calculate p(8).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y\/y**(2\/81))\/y)\/(y\/(((y**24\/y)\/y)\/y*y)))**(2\/19) assuming y is positive.\nAnswer: y**(3398\/1539)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 3*j**2 + j - 1. Let o = 16 - 26. Let g = o + 11. What is p(g)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1 + -6116.100601588.\nAnswer: -6117.100601588","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*y + 120. What is the remainder when y is divided by 1 - (6\/(-2) + -7)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -7 and 44 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -15*x**3 - 205.\nAnswer: -45*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -cca5 (base 14) to base 7.\nAnswer: -205165","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -555 + 2630*s**6 + 148*s**2 + 118*s**6 + 559 - 4*s**2 wrt s?\nAnswer: 329760*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 15701, 34191, 52681, 71171?\nAnswer: 89661","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1 + 1. Let x = 1.14 - -3.86. Which is the nearest to 0? (a) m (b) 2 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 105 and 60.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2 and 72603098?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1111000010 (base 2) in base 3?\nAnswer: -1022122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 44759 = -9*b + 4*b, -5*b - 22367 = -2*i. What is the tens digit of i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/((-1)\/(6\/(-6))).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2400332 to the nearest integer?\nAnswer: 134","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 2*j + 38. Let w be p(-18). Let s be 11\/((-165)\/(-10)) + (-4)\/6. Suppose s = 2*l + l - 15. Is w at most as big as l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -1 + -2 + 1746 - (2 + 0). Let p = -158 + f. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wvjj when four letters picked without replacement from vwxjwjxxvxxxxxjvx?\nAnswer: 3\/4760","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 11*s - 13*s. Let a be (s\/(-2))\/(1\/(-2))*3. What is the first derivative of 1 + 21*x**2 + 3*x**a - 9 - 21*x**2 wrt x?\nAnswer: 9*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -10 + 16. Let j be ((-6)\/(-9))\/(d\/27). Let p = 4866 - 4863. Solve -2*r - p*s + 2 = -8, -6 = -j*s for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 3*v**3 - 5*v**2 + v + 5. What is the remainder when i(3) is divided by 15?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 882*p + 1745. Calculate d(-2).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -64 or -1259997?\nAnswer: -1259997","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -372610.5 to the nearest 10000.\nAnswer: -370000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0006316525 rounded to five decimal places?\nAnswer: -0.00063","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 50 divide 7350?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 16*t**4 - 17*t**4 - 2*t**3 + 29*t**2 + t + 58*t**2 - 11*t**4 to the form l*t**2 + o*t**4 + x + u*t**3 + c*t and give u.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*m - m = -h + 2145, m - 415 = -3*h. Let j = -379 + m. Calculate the greatest common factor of 34 and j.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*a = -64 + 12 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q - 8 = 3*b - 3*q, 15 = -5*b - 2*q. Let l = 14.3 - 14. Let a = l - -0.2. What is the nearest to b in a, -5, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -113\/12168 and 5\/189657.\nAnswer: 19724328","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*h + 4*n + 10, -2*n = -9*h + 198 - 217 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4 (base 10) to base 3.\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*l + 4 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -69 - -288. Let a = -222 + i. What is the second biggest value in 0.5, -0.21, a?\nAnswer: -0.21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8 + 0 - 273*l + 136*l + 128*l + 3.\nAnswer: -9*l + 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert -32124 (base 7) to base 3.\nAnswer: -101220200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c = -9*c - 3*a + 82, -2*c - a = -33. Suppose 11*o - c*o - 48 = 0. Let p(v) = -v - 6. Let r be p(o). Solve r*b + 8 = -5*k, -3*b - 2*b + 1 = 2*k for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 15353 - 22819. Let v = m - -7465.789982. Let p = v + 0.21. Round p to 5 decimal places.\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -a43 - -15ca5?\nAnswer: 15262","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1172876 rounded to the nearest 100000?\nAnswer: 1200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:58 AM and 8:11 AM?\nAnswer: 313","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -17*b**3 + 2. Let p(t) = 51*t**3 - 6. Let u(i) = -4*p(i) - 11*s(i). What is the first derivative of u(k) wrt k?\nAnswer: -51*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lme when three letters picked without replacement from {v: 5, e: 1, m: 2, l: 1}.\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(-3 + -4 + ((sqrt(17)*2)**2 - sqrt(17)) - (sqrt(153) + -1 + sqrt(153) + sqrt(119)\/(sqrt(14)\/sqrt(2)))).\nAnswer: -8*sqrt(17) + 62","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 255 is divided by 69?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 9? (a) 1.7 (b) -15 (c) 5 (d) -4 (e) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -229 + -68b7?\nAnswer: -6b13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1643.56 - 1598. Round v to 0 dps.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = -3*m + 2. Suppose 6*p - 4 - 14 = 0. Suppose 0 = -p*y + 4*y + 2. Sort 4, y, m in descending order.\nAnswer: 4, y, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 812\/5, 0.5, 54, 0.2, -0.4?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = d + 5*u + 3, d + 294*u - 284*u = -8 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(1\/6)*d**4)\/(d**(2\/3)*(d\/d**(-2))\/d))**(-2\/5) assuming d is positive.\nAnswer: d**(-3\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 165.7 + 2?\nAnswer: 167.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 6 = 6. Suppose 4*f = -2*q - 4, 2*q = 2*f - r*f + 20. Suppose 3*n = q + 6. Solve 2 = -2*y + n for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 354 minutes after 9:25 PM?\nAnswer: 3:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19*b**3 + 86*b**3 - 29*b**3 - 29*b**3 - 28*b**3 - 30*b**3.\nAnswer: -11*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r**5\/7 + 132*r**4\/7 - 440*r**3\/7 - 120*r**2 + 612*r - 3132\/7 = 0 for r.\nAnswer: -3, 1, 3, 29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 87\/(-7) + (-12)\/21. Which is bigger: 2\/9 or b?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*h + 7*h - 3*n + 9 = 0, 3*h - 4*n + 7 = 0. Solve 2*f = -4*j - 2*f + 4, -2*f = -h*j - 22 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-957)\/33*((-2)\/(-1) - 3). Sort d, -3, -5 in decreasing order.\nAnswer: d, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -4*s - 0*s. Suppose v + 4*g = 7, -g + 11 = s*v - 10. Is v a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 1173 = -i - 149, -7*i - 4*q + 7174 = 0. What is the highest common factor of i and 27?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) be the first derivative of -s**3\/6 + 3*s**2\/2 - 10*s - 23. Let y(o) be the first derivative of b(o). Calculate y(5).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) be the third derivative of -s**5\/30 + s**4\/4 - 5*s**2. What is o(4)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10*b + 13*b. Solve 2*s + 6 = -b*s for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6272283529 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 2\/17, 5, -1\/4, 0.128, 0.3?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(sqrt(17) + 2) + (sqrt(272)*-2)**2 + sqrt(272).\nAnswer: 9*sqrt(17) + 1098","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -a**3\/5 + a**2 + 298*a\/5 - 608\/5.\nAnswer: -(a - 19)*(a - 2)*(a + 16)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 3002 (base 5) to base 2\nAnswer: 101111001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:31 AM and 2:43 AM?\nAnswer: 132","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m = -2*u - 5*u + 7*u + 2*m - 35, 1556 = 2*u - 0*u + 222*m for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 636786 is divided by 41?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 2.1 from -96.\nAnswer: -98.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iyi when three letters picked without replacement from {i: 8, y: 4, n: 1}.\nAnswer: 56\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*w**4 - 4 - 4*w**2 + 7*w**2 - w + 2*w - w**2 in the form z*w**3 + p*w**4 + d*w + t + u*w**2 and give d.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (2 + 2*sqrt(832))**2 + (-2 + (sqrt(832)*-1)**2 - sqrt(832)) + -5.\nAnswer: 56*sqrt(13) + 4152","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 690 and 9890.\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -9 + -5?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j - j = -174. Suppose 0 = -4*u + j + 62. Suppose -w = i + w + 5, -i + 5*w + u = 0. Is i a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) be the second derivative of -y**4\/12 - 2*y. Let q(c) be the first derivative of 1 + 0*c**2 + 1\/3*c**3 + 0*c. Calculate q(o(f)).\nAnswer: f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -28.46 - -86.235007?\nAnswer: 57.775007","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -51 - 54 - 22 + 127 + 6*d**3.\nAnswer: 6*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 8\/(3744\/1508) + -3\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3649413769.\nAnswer: 79, 46195111","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 45 + -12. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) be the first derivative of -s**4\/24 - 11*s**3\/12 - 9*s**2\/2 + 22*s - 13. Let c(d) be the first derivative of p(d). Suppose c(m) = 0. Calculate m.\nAnswer: -9, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(5\/(45\/(-108))).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 369833 to the nearest integer?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (sqrt(49) + sqrt(4900) + -3*sqrt(4900))\/sqrt(7) - ((-1 + sqrt(343) - sqrt(7)) + -1 + sqrt(7) + 5).\nAnswer: -26*sqrt(7) - 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -10311 + 12625. Is 26 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 993 to the power of 1\/3, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 75\/4 of a year in months?\nAnswer: 225","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3843, -3828, -3787, -3708, -3579, -3388?\nAnswer: -3123","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d - 11 = 2*d - 2*x, 4 = -d + x. Suppose 5*o - 24 = -134. What is the common denominator of 108\/o + (d - -1) and 35\/6?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -6037*x. Let m(w) = -29*w - 2. What is l(m(t))?\nAnswer: 175073*t + 12074","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -13, 2527, 4, -1, -5 in ascending order.\nAnswer: -13, -5, -1, 4, 2527","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 2 + -1 - (-11 - (-19 - -8))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -x**2 - x - 1. Let m(d) be the first derivative of -d**3\/3 - 3*d**2\/2 - d - 52. Calculate m(s) - 2*q(s).\nAnswer: s**2 - s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -w**2. Let t(u) = -4576*u**2 - 169. Determine t(x(c)).\nAnswer: -4576*c**4 - 169","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*n - 4*n - n + (3 + 0 - 4)*(n + 1 - 1) + n + 3*n - 6*n)*(-25*n**2 - 54*n + 54*n - 35*n**2).\nAnswer: 300*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*a + 14 = 5740*i - 5742*i, -3*i = 5*a - 34 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6.899479 centuries to years.\nAnswer: 689.9479","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 9820981?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 160 minutes after 8:03 AM?\nAnswer: 10:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = n**3 + 24*n**2 + 371*n + 5273. Calculate j(-19).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (4 + 1)*(1 + 2 - -1). Let x(w) = 16*w**2 + w - 2. Let p be x(-2). What is the greatest common factor of n and p?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + sqrt(13) + 2 + 4.\nAnswer: sqrt(13) + 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.5 + 2.5. Let r = -48 - -43. Sort k, 9, r in decreasing order.\nAnswer: 9, k, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*j**3 - 92*j**2 + 92*j**2 - 3 + 2*j**3 + 3 + (4*j + 0*j - 2*j)*(-3*j**2 + j**2 + 0*j**2) to the form l*j**3 + i + d*j + t*j**2 and give l.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 122.4 - 122. Put o, 2\/7, -2, 2 in decreasing order.\nAnswer: 2, o, 2\/7, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -27691287 or -27691293?\nAnswer: -27691293","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 8*a - 112. Calculate r(13).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -3*q + 5*q + q. Let s(w) = 124*w - 3 - 186*w - 1 + 50*w + 5. What is s(x(j))?\nAnswer: -36*j + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 1 - 7\/6 - 4\/672*-49\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*o + 6 = -9*o. Let k(y) be the second derivative of y**5\/20 + y**4\/4 + y**3\/6 + y**2\/2 - 2234*y. Determine k(o).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-12)\/16)\/(1\/(-4)). Let f be (t\/(-11))\/(6\/4). Are -1 and f unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 169 - 169. Let m be l + -1 + (-16)\/(-96). Which is the closest to m? (a) -2 (b) 3 (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 35 a factor of 4056838415?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -116 = -27*a + 19 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -2*j + 2. Let y(s) = 3*s - 3. Let n(h) = 4*i(h) + 3*y(h). Let r be n(0). Let o = 31 + r. Is o a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 903279.\nAnswer: 3, 13, 19, 23, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -41451156 at least as big as -41451157?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 308*u**2 + 1 - 72*u**2.\nAnswer: -380*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -7*r - 1. Let v(l) = l. Suppose -9*o - 10 = -4*o. Let k be o\/(-4) - (-81)\/6. Suppose 3*u + 0*p + 12 = 5*p, 5*u + 3*p = k. Determine u*t(s) + 5*v(s).\nAnswer: -2*s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1375*u**2 - 28720*u - 57500.\nAnswer: 5*(11*u - 250)*(25*u + 46)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 2*r + 1. Let t(z) = -6*z - 36. Let x be t(-5). Let a(n) = n + 1. Give x*a(w) + 4*o(w).\nAnswer: 2*w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2\/(-2) + (5 - 4). Suppose k = -3*o - c, 10*c = 5*o + 5*c. Let 0 - 2\/5*s + o*s**2 + 2\/5*s**3 = 0. What is s?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*((sqrt(1700) - (0 + sqrt(1700))) + sqrt(1700)))**2.\nAnswer: 42500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1129948649 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = 2*r - 5*j - 265, 4*r - 5*j - 360 = 0. Find the common denominator of 65\/8 and 0\/3 + r\/4.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) be the second derivative of -7*l**3\/3 + 93*l**2\/2 - 178*l. Let b be d(6). What is the highest common divisor of 63 and b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ttz when three letters picked without replacement from zztzzzzztzzzzztzzz?\nAnswer: 5\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/2)\/((-1)\/1).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 63 and 408?\nAnswer: 8568","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3 - ((-6608)\/48)\/(3\/315)?\nAnswer: 2, 7229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 181 minutes before 6:57 PM?\nAnswer: 3:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 37 - 7. Let f be -4 + 5 - c\/(-2). What is f rounded to the nearest ten?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7605456724 to the nearest integer?\nAnswer: 87209","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 9, -6\/11, -0.14, -14\/5 in ascending order.\nAnswer: -14\/5, -6\/11, -0.14, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 13 - 5 = 0. Let b = -2 - -2. Suppose 0*x - 5*x + 45 = b. Calculate the smallest common multiple of x and f.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 10 + (2 - 0) + -5. Let p = y - 11. Calculate the least common multiple of p\/6*(-3)\/1 and 7.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2122.386 rounded to the nearest 10?\nAnswer: 2120","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 30526 is divided by 569.\nAnswer: 369","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 174 is divided by 36?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 39 and 780?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.84 smaller than 53?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -156 - -315\/2. Let i = -10 - -10.1. Which is the closest to i? (a) l (b) -2 (c) -8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 24226 + -2916. Let d = v - 383441\/18. Find the common denominator of (3\/4)\/((-3)\/(-50)) and d.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 15584849?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 4*n = -t - 43, -5*n = -5*t - 25. Let z = t - -15. Let i = z + 15. Solve 5*c - i = -1 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 14*y + 65. Let z be t(18). Let p(u) = -u + 5. Let c be p(0). Suppose 5*j + 415 = c*a, 4*a + j - z = -0*j. What is the tens digit of a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1111011 + 101001101?\nAnswer: 11010010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1594137*c**3 + 10*c + 14*c**2 - 11 - 1594139*c**3 + 30 to the form v*c + r + q*c**3 + o*c**2 and give v.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -49 - -51 - 1134\/(-27)?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) be the third derivative of f**7\/105 + f**6\/10 - 115*f**5\/6 + 94*f**4 - 560*f**3\/3 + f**2 + 3*f + 2. Let a(j) = 0. What is j?\nAnswer: -28, 1, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18650956 a multiple of 107?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 1\/150553234 and 6\/40533563.\nAnswer: 1053872638","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 2*m + 1. Let r be j(-1). Let w be -1*(r + (-1 - -1)). Let v = -286 + 3716\/13. Which is smaller: v or w?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 0 + 1)*(-211 - 297 - 288)*(-g**4 + 0*g**4 + 3*g**4).\nAnswer: -3184*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 1 g when two letters picked without replacement from {p: 3, w: 3, u: 2, x: 2, c: 2, g: 4}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -k + 6. Let r = 15 - 27. Let b = 18 + r. What is i(b)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-72)\/63)\/(((-6)\/7)\/(-3))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.5482507 to 3 decimal places.\nAnswer: -0.548","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 506\/8 - (-1)\/(-4). Suppose -5*c = 0, -5*d + 2*c + 558 + 1492 = 0. What are the prime factors of d\/14 + (-18)\/f?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 75\/2*(216\/(-78) - 2). Let j = l + 179. Put j, -2, 0.2, -1\/5 in descending order.\nAnswer: 0.2, j, -1\/5, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2*18\/(-4)*(-252)\/(-567)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -197873 (b) -0.2 (c) -0.03\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -276, -622, -1266, -2262, -3664, -5526, -7902?\n\"Answer: -9*w**3 - 95*w**2 + 2*w - 174","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/15? (a) 2\/5 (b) 79 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 297 = 11*c - 30*c - 26 for c.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3355)\/6435 + (-16)\/(-36).\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.1788 + 0.0788. What is the smallest value in 0.2, n, 168?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 746122, 746290, 746458, 746626?\nAnswer: 746794","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2810\/9 in -1\/3, 0.1, 1.4, 34, -0.4?\nAnswer: 34","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 54 divide 648?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 2217900 to the nearest one hundred thousand.\nAnswer: 2200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*o - 16*o = 0. Let d(m) be the third derivative of 0*m + 0*m**3 - 3*m**2 + o + 1\/8*m**4. Let i(h) = h**2. What is d(i(s))?\nAnswer: 3*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5\/7 in 0.4, 0, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/(130\/4))\/(1\/5)?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (55\/198)\/((-5)\/15)?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*m - 4*m + 75 = 0. Find the first derivative of 56*u**3 + 0*u**m + 89*u**3 - 172 wrt u.\nAnswer: 435*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -171*q - 10. Calculate n(0).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 6\/23 (b) -1\/5 (c) -4 (d) -46 (e) -18\/17 (f) -2\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vakavvvvkvvvvvavvvv. What is prob of sequence kav?\nAnswer: 14\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -8*p + 38*p**5 + 0*p - 15*p**5 wrt p.\nAnswer: 460*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 110001 - -11?\nAnswer: 110100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (9 - (-9 - -8 - -8)) + -6.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m + 428 - 427 = -5*q, 4*m + 8 = 0 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = d + 1. Suppose -c = 3*w - 5, 3*w = 2*w + c - 1. Let y = 12 + w. Let l = -7 + y. Determine v(l).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2006.005 to the nearest 1000.\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 38\/(-57)*5\/(5\/12).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 691 minutes before 4:18 PM?\nAnswer: 4:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -17 - -17. Let x = 55 - 23. Suppose w*i + x = 4*i. What is the units digit of i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) be the second derivative of 1\/6*d**3 + 7\/12*d**4 + 0 + 9\/2*d**2 + 1\/20*d**5 - d. Let b be f(-7). Solve 0*u + 2 = -b*u for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.1999633 or -1\/5?\nAnswer: 0.1999633","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3275.019 days to hours.\nAnswer: 78600.456","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -2.434, 0.1, 3\/2, -0.03 in increasing order.\nAnswer: -2.434, -0.03, 0.1, 3\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 35 + -35. Let y be t - 1\/((-2)\/(-8)). List the prime factors of 3876\/54 - y\/18.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 386?\nAnswer: 2, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 10429 - -17?\nAnswer: 10446","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = d**3 - 3*d**2 - 20*d - 3. Let y be k(6). Let s = 27 - y. Calculate the remainder when s is divided by 15.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 10 + -203?\nAnswer: -143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) be the third derivative of g**6\/60 - 11*g**5\/60 - g**4\/8 - 13*g**3\/6 + 7*g**2. Let v be y(6). Solve v = 2*d + 3*d for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**2*q**(-3)\/q)**26)**7 assuming q is positive.\nAnswer: q**(-364)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 9\/13494055 and -21\/55.\nAnswer: 148434605","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (32\/12)\/(-4) - 10\/(-15). Suppose r = -f - 291 + 293. Solve -2*o = 0, -5*o + f*o = 5*w - 10 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-41)\/4)\/((-6)\/48). Let f = -51 + s. What is the units digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(380)*2)\/sqrt(10) - sqrt(228)\/(sqrt(6) - sqrt(6)*-3))\/(-5*(sqrt(242)*1 + sqrt(242))*6).\nAnswer: -7*sqrt(19)\/2640","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -689c7c + 1?\nAnswer: -689c7b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/(12\/(-2))*24585\/(-262240).\nAnswer: 1\/32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -6*y**2. Let j(p) be the third derivative of -11*p**5\/60 - p**2 + 107*p. What is k(j(m))?\nAnswer: -726*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - o = -13, 5*o + 13 = 3*x - 0. Suppose l + 5*d = 14, 2*l - x*d = -4*d + 4. Suppose 3*s - 11 = l. What is the closest to -0.1 in -4, 3, s?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 71*j = -399372 + 1206145. Is j a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 818616 to the nearest one hundred thousand.\nAnswer: 800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 175 minutes before 12:03 AM?\nAnswer: 9:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) be the first derivative of g**6\/40 + g**4\/8 + 2*g**2 + 12. Let x(p) be the second derivative of d(p). Find the second derivative of x(i) wrt i.\nAnswer: 18*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 272 - 282. Let o(m) = -20*m - 115. Does 16 divide o(x)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (60\/(-8)*90\/100)\/(6\/4)\nAnswer: -9\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = b**3 - 9*b**2 + 6*b - 10. What is m(8)?\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 25559.\nAnswer: 61, 419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 13487 - 2362. List the prime factors of z.\nAnswer: 5, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + j - 19 = -3*n, -4*j + 100 = 5*n. Solve -u = -4*u + 3*r + n, 3*u - 5*r - 34 = 0 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 30 = 13*t. Let l = -1 + 6. Let f = 11 - l. Sort t, -2, f.\nAnswer: t, -2, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 436886 + -5?\nAnswer: 436881","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*t**2 - 9919333*t + 9919333*t.\nAnswer: 12*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) be the third derivative of -d**6\/120 + 2*d**5\/15 + d**4\/24 + 3*d**3\/2 - d**2. Let j(y) = -y**2 + 7*y - 3. Let a be j(5). Is i(a) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 3*l**2 + 63*l + 286. Determine h(-14).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.0424 and -9046?\nAnswer: 383.5504","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w - 7*w - 146 - 54 = -3*c, -3*w + 2*c = 124 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-20)\/(-8))\/(-5)*24\/4?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 147060 and 2892180.\nAnswer: 8676540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f, 1 i, and 1 x when three letters picked without replacement from bxixffxifxxb?\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 2 - 5)*(-l + 2*l + 0*l) + 4*l - l - 4*l as p*l + r and give p.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (2 + -33)*(2 + -1). Let b = x + 29. Sort b, 4, 5 in increasing order.\nAnswer: b, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/(-35)*14\/(-6)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ot when two letters picked without replacement from tooototo.\nAnswer: 15\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*a - 187 + 182, -7*n + 0*a + 25 = -a + 4*a for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) be the second derivative of q**5\/20 + 11*q**4\/12 + q**3\/2 + 11*q**2\/2 + 12*q. Let t be l(-11). Is t\/6*3*-1 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 207 - 2418710696?\nAnswer: -2418710489","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 6*i**2 - 19*i - 10. Let d(a) = -2*a**2 + 6*a + 3. Calculate 7*d(t) + 2*f(t).\nAnswer: -2*t**2 + 4*t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/((30\/135)\/(684\/324))?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 667 minutes after 2:59 AM?\nAnswer: 2:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) be the second derivative of 5*a**4\/4 + 7*a**3\/6 + a**2 + a + 4. What is l(-1)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 297 = 108*q - 9*q for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 151014613 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 22*a. Let r(y) = 258024*y**2. Calculate w(r(u)).\nAnswer: 5676528*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-20)\/12*(1 + -64) is divided by 54.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-17)\/((-238)\/14)*(-116)\/4?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 - 2)*(4*i + 3*i - 5*i) - 88 + 88 - 4*i + 5*i - 3*i + 0*i.\nAnswer: -6*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -54, -119, -202, -303, -422, -559?\n\"Answer: -9*p**2 - 38*p - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 560680 is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -1\/6 (b) 0.7 (c) 2\/35 (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 976.4 + -976.2. Which is the smallest value? (a) p (b) 2.49 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-a**2 + a**2 + a**3)*(3 - 3 - 2*a) + (-3*a + 3*a + 3*a**2)*(2*a - 2 + 2)*(-11*a - 13 + 13) to j*a**3 + g*a**2 + q*a**4 + i*a + n and give q.\nAnswer: -68","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 2, s: 5}. What is prob of picking 4 s?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + t = 6*t + 3255, -2*p + 2148 = 4*t. Calculate the remainder when p is divided by 23.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -363 divided by 6\nAnswer: -121\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36*b - 42*b = 0. Suppose -14*x + 17274 - 2756 = b. What is the units digit of x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16570334?\nAnswer: 2, 11, 753197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1850 and 83050.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -5 or -465\/83?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 1669630 to the nearest one thousand.\nAnswer: 1670000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1577 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16905729.\nAnswer: 3, 5635243","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(-2\/15)*q)\/(q\/q**(1\/2))*(q\/q**(-1\/4))**(-2\/15))**(-36) assuming q is positive.\nAnswer: q**(-36\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -846*n - 869*n + 2598*n - 825*n.\nAnswer: 58*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1 - -1011000000101100?\nAnswer: 1011000000101101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gus when three letters picked without replacement from gssmgugsgg.\nAnswer: 1\/48","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -386*q + 91*q + 1180 = 0. Let t(y) be the first derivative of 22\/3*y**3 + 9\/2*y**q + 0*y**2 + 0*y - 29. Find the third derivative of t(s) wrt s.\nAnswer: 108","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -253, -3, 0.2?\nAnswer: -253","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 9007 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -126126, -247058, -367990, -488922?\nAnswer: -609854","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -v**3 - v**2 + 6*v - 1. Let s be i(-3). Let x be (-1)\/(-4) - (-47)\/4. Suppose -4*h - d = 0, 3*h - x = 4*d + 7. Which is bigger: s or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -181288.7 rounded to the nearest 10000?\nAnswer: -180000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -4*t**3 + 1 + 2*t - 3*t**2 - 2*t**3 + 3*t**3 - 3*t. Let x be l(-2). Calculate the greatest common divisor of x and 165.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*u + 4*u - 2*u)*(10 + 8 - 14) + (-3*u + 2*u + 4*u)*(-3 + 3 - 3) as r + x*u and give x.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 84362694?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2*-6*(-15)\/9*94\/(-2115).\nAnswer: -8\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-4367)\/(-22))\/(1\/2). Suppose 5*h + 5*r + 196 = 2181, h + 4*r = v. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -28*u**2 + 2*u - 11. Suppose 403*l - 845*l + 66 = -420*l. Let b(m) = -14*m**2 + m - 5. Give l*p(k) - 7*b(k).\nAnswer: 14*k**2 - k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that -163*x**5 - 5831164*x**4 - 52127739031*x**3 + 416661674086*x**2 - 829668932576*x - 10242812192 = 0.\nAnswer: -17891, -2\/163, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (sqrt(27) + sqrt(81)\/sqrt(3) + 1)*-2.\nAnswer: -12*sqrt(3) - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*a**3 - 102*a**2 + 1350*a - 1250.\nAnswer: 2*(a - 25)**2*(a - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.04, 6, -27?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 131\/276 + -9\/23. Let g(y) be the third derivative of s*y**4 - 2*y**2 + 0 + 0*y**3 - 1\/60*y**5 + 0*y. Find the second derivative of g(j) wrt j.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 43\/2088 and -7\/129033.\nAnswer: 29935656","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) be the first derivative of y**4\/4 + y**2\/2 - y + 167. Let q(w) = -5*w**3 - 6*w + 6. Give 6*m(a) + q(a).\nAnswer: a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 233*w - 11*w**2 - 13 + 2*w**3 - 18 - 229*w + 31. Give u(5).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1319 - 830. Is ((-5)\/15)\/((-1)\/z) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -132973 smaller than -133023?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 51783598 and 476?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(-13) - 0\/((20\/(-25))\/(36\/90))?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 52413 + -10?\nAnswer: 52403","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 3940207 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor o**3 - 1153*o**2 + 330327*o - 329175.\nAnswer: (o - 627)*(o - 525)*(o - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1502030 (base 6) to base 7.\nAnswer: 505455","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*w - 6*w + 4*w**2 + 41570 - 83087 + 41517.\nAnswer: 4*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + -3*sqrt(1700))*-4.\nAnswer: 8 + 120*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -438, -881, -1326, -1773, -2222?\n\"Answer: -m**2 - 440*m + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 46 - 13. Let d be (0 - 0)\/(-1) - 40\/(-2). What is the third derivative of -c*y**6 + 16*y**6 + d*y**6 + 11*y**2 wrt y?\nAnswer: 360*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 88539 is divided by 16?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 2, -5, -32, -102, -14 in decreasing order.\nAnswer: 2, -1, -5, -14, -32, -102","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1127641 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: How many minutes are there between 5:53 PM and 2:27 AM?\nAnswer: 514","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 2*u**3 - 121*u**2 + 67*u - 10. Let q(n) = n**3 - 60*n**2 + 29*n - 4. Determine 3*k(g) - 7*q(g).\nAnswer: -g**3 + 57*g**2 - 2*g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 79 in 4\/5, 0.5, 0.2, 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 + 6 - 1 - 4 + 5)*(85*q + 32*q + 23*q) to the form d*q + h and give d.\nAnswer: 280","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 121895.\nAnswer: 5, 24379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-3 + 14)\/(1 + 0). Suppose 349 = q*i + 85. What is the highest common factor of i and 48?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(72) + sqrt(72) + -2 + (1 + sqrt(72))*3)**2.\nAnswer: 72*sqrt(2) + 2593","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 3 r when four letters picked without replacement from {q: 3, b: 4, r: 3, f: 1}?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -15 times -4\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -66, -2, -98.\nAnswer: -98, -66, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u - 4 = 0, 696*u - 9 = v + 692*u for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 10387 + 11498 = -9990. Does 125 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: (68526\/189)\/(-94)*(-7)\/3\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = 4*b - 0*x - 103, 0 = 3*x + 9. Let n = b - 16. Suppose n*i - 3 - 15 = 0. What is the remainder when 13 is divided by i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 4 = f, 2*g + 16 = 4*f + 7*g. Find c such that 0 + 0*c**2 - 2\/3*c**f + 0*c - 2\/3*c**3 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -9063 - -9040. What is the closest to 0 in i, 2, -5, 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 220865763?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3895.2? (a) -28\/9 (b) 4 (c) -2\/5 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -29*a**2 - 2*a - 2. Let k(z) = -120*z. Determine q(k(y)).\nAnswer: -417600*y**2 + 240*y - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -a**3 - 97*a**2 + 4624*a - 125. Let z be s(35). Let q = -10 + 22. Solve -q = -z*n + 18 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3.6 - -4. Let w be 2\/(-2)*(-6)\/(-12). What is the closest to w in 1\/2, 2\/7, f?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -8\/115 + 8677\/7360. Let a = 49\/457 - -33097\/36560. What is the common denominator of g and a?\nAnswer: 320","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-six fifths of a micrometer in nanometers?\nAnswer: 9200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*v - 6*v**3 + 20*v**3 + 10*v**3 + 4*v to the form k*v + t*v**3 + f + x*v**2 and give t.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1839 or 1611?\nAnswer: 1839","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -162 = -3*o + 168. Suppose -4*x + 8 = 2*n, 27 = 4*x + 39. What is the greatest common divisor of n and o?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -2*f**2 + 7*f - 3. Let v(j) = -3*j**2 + 8*j - 3. Let a(h) = 3*v(h) - 4*x(h). Suppose 5*i = 25, 7*y + 3*i = 9*y + 23. Give a(y).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -2*a - 2. Let m be -2 - (-3)\/9*0. Let d be j(m). Let r be (-50)\/(-14) + 68\/(-119). Solve l + v = -0*v, -l + r = -d*v for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 42241572 to the power of 1\/2, to the nearest integer?\nAnswer: 6499","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -25 in -4, 0.3, -0.022, -1, -0.2?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1077?\nAnswer: 3, 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 2*i, -5*k + 23 = -0*i - i. Solve -a = k*a - 25 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 15397237, 61588970, 138575193, 246355906, 384931109, 554300802, 754464985?\nAnswer: 985423658","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -1\/6 (b) -222\/191 (c) 3 (d) -6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) be the second derivative of -7*m**5\/10 + m**4\/6 - 39*m**3 - 2*m + 72. Find the second derivative of z(c) wrt c.\nAnswer: -84*c + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 24 - 5. What is the highest common divisor of 38 and p?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 44512218119 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5853521 is divided by 223.\nAnswer: 217","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from prrrrrrrrrrrrprrrr. What is prob of picking 1 p and 3 r?\nAnswer: 56\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((3 - 1 + 1)*(-u + 2*u + 0*u) + 3 - 5*u - 3)*(1 - 9 + 21) to the form a + f*u and give f.\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = a**3 + 7*a**2 - 11*a - 11. What are the prime factors of g(-8)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5 + 42*p**2 - 7 - 43*p**2 + 2*p to l*p + r + c*p**2 and give r.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 55836 divided by 564\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0005996612 rounded to 4 dps?\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.5 + 2.5. Let u = -1245 + 1239.99. Let z = u + 0.01. Put z, j, -0.5 in increasing order.\nAnswer: z, -0.5, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 0*w + 6 + w**2 - 18*w + 3*w + 8*w - w. Determine u(9).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (27 + -31 + 39 - -6) + (-4 - 0)?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-84)\/616)\/((4\/(-10))\/(80\/(-150))).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 9 + -10. Let o = y - 26. Let z = -16 - o. List the prime factors of z.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-32)\/48 - 11\/(-3). Suppose 0 = -5*o - 5, -204 = -0*c - c - k*o. What is the hundreds digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -173, -0.3, -10, 2\/5, 2\/3, 3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39*d - 45 = -513. Solve 2*h - 2 = -2*w - 6, 3*h = 3*w - d for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = 2*c - 160, -3*c + 0*c = -12. Suppose x = -3*f - 89. Let s = f + 73. Is s a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) be the third derivative of -r**5\/15 - 6*r**2. Let p(x) = -9*x + 10. Let o(l) = 8*l - 8. Let t(g) = -5*o(g) - 4*p(g). Give t(u(s)).\nAnswer: 16*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 170394271 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 2\/5, -4, 5 in decreasing order.\nAnswer: 5, 2\/5, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12508 = -130*l + 134*l. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 24\/6 - (-1 - -3). Solve 0 = 2*p - 4*p - v for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 6 - 2*g - 2*g + 3*g. Suppose 0 = 8*o - 39 - 1. Calculate n(o).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 6*x**2 - 3*x**2 + 6 - 2*x**2 - 8*x. Let t be w(5). List the prime factors of (-4)\/3*t\/1.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - (-11 + 1 - (-21 - -18)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -100 (base 2) to base 4\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (1 - -2*1) + -2. Suppose 4*w + m = 49. Suppose 0 = -x + 5*b + 46, -2*x - 3*b + 92 = -2*b. Calculate the remainder when x is divided by w.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*q**2\/15 - 52*q\/5 - 166\/3.\nAnswer: 2*(q - 83)*(q + 5)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 156 bigger than 1704\/11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 12\/15*15\/6. Suppose -z*i = -i - 89. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 37322438?\nAnswer: 2, 197, 94727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -519*b + 484. Is 111 a factor of f(-19)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 5, f: 13}. What is prob of picking 2 f and 2 d?\nAnswer: 13\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -q**2 + 2*q - 3. Let p(z) = -z**2 - z. Let o be p(2). Let u be (-4)\/3*45\/o. Let j(k) = -k**3 + 10*k**2 - k + 13. Let m be j(u). Determine r(m).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15a (base 15) in base 7?\nAnswer: 622","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve s + r + 2 = 0, 4*r - 19331 = 2*s - 19327 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 855581 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 7037*t**2 - 43*t + 45. What are the prime factors of m(1)?\nAnswer: 7039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (2\/(-3))\/((-15)\/270). Let n be 6\/k + (-1)\/2. Suppose s + 4*s = 3*v - 85, n = -2*v - s + 35. Solve 5*m - m = 3*o - 7, -5*m = v for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -294068, -588119, -882162, -1176197, -1470224, -1764243, -2058254?\n\"Answer: 4*r**2 - 294063*r - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 33398 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2873, -2807, -2755, -2723, -2717?\nAnswer: -2743","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 666 and 454?\nAnswer: 151182","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = s + 2*x - 15, -4*s + s + 5*x = -1. Suppose 3*q - 3*k - 23700 = 0, -s*q + 12*q + 4*k - 39509 = 0. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 72 + -67. Let t = -4 - -3.8. Let n = t + 3.2. What is the third smallest value in n, -1\/6, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-15)\/(-10))\/((-1)\/(-20))?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 722533655?\nAnswer: 5, 257, 562283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -4*-0.09476\nAnswer: 0.37904","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 769 a factor of 5750219?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0 - -0.034. Let z = 21.034 - m. Let l = z - 14.8. Round l to the nearest integer.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tte when three letters picked without replacement from {w: 2, e: 4, j: 2, t: 2, a: 2, r: 2}.\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 53249 is divided by 370?\nAnswer: 339","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (52753*v**2 + 52913*v**2 - 103699*v**2)*(v - 3*v + 3*v + 1).\nAnswer: 1967*v**3 + 1967*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 7*-189680\nAnswer: -1327760","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4.0227 + -0.7817. Let l = -0.059 - g. Let d = 3.5 + l. Which is the second biggest value? (a) d (b) 2\/11 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.036 - -0.064. What is the fourth biggest value in -2\/7, x, 0.2, 37?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(21\/5)\/n)**(-3))**32 assuming n is positive.\nAnswer: n**(-1536\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -182020699*s + 1161214648.\nAnswer: -182020699","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -p. Let n = 11 - 7. Suppose n*t = -11 + 3. Suppose -4*o + 7*o + 7 = -5*h, 0 = -2*h - 2*o - 6. Let f(q) = q. Give h*f(i) + t*c(i).\nAnswer: 3*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.3? (a) 29 (b) -6 (c) -3 (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*h**2 - 2*h**3 + h**2 + 7*h**3 + (-2 + 2 - h)*(h + h**2 - h).\nAnswer: 4*h**3 - h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**6*j*j\/j**5*((j\/(j\/j**(-2\/5)))\/j)\/(j*j**7))\/((((j\/j**(-1))\/j*j)\/j)**49)**(-15) assuming j is positive.\nAnswer: j**(3643\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ccee when four letters picked without replacement from ccccceccce?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-62)\/(-3))\/(32\/48). Let c = w - 51. Does 11 divide (39\/(-12))\/(5\/c)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 69*s - 322. Let k(f) = 2*f - 7. Let j(v) = g(v) - 46*k(v). Let z(a) = 10*a. What is j(z(h))?\nAnswer: -230*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-64)\/(-16)*(-369)\/(-108)*3?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 94132.1 decades?\nAnswer: 941321","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 12 + -8. Suppose -4*i - s + 25 - 6 = 0, -q*i - 2*s = -14. Suppose -i*d = -d - 15. Calculate the lowest common multiple of d and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 156659 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 20*x + 6. Let z(t) = 7*t + 2. Let b(q) = 6*m(q) - 17*z(q). Suppose i + p + 5 = -4*i, 3*i - 3*p + 21 = 0. Give b(i).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*n**4 + 8*n**3 - 302*n**2 - 308*n.\nAnswer: 2*n*(n - 11)*(n + 1)*(n + 14)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-24)\/30)\/((-4)\/10). Suppose 4*b = 5*g - 0*g - 102, 38 = n*g - 3*b. What is the tens digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 219 - 317. Let y = -1074\/11 - a. Is -1 less than y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 113, 230, 345, 458?\n\"Answer: -n**2 + 120*n - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -660077\/54 - -12223. Let v = 10595 - 190661\/18. Calculate the common denominator of a and v.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is n in -4*n**2\/3 - 17296*n - 25661420\/3 = 0?\nAnswer: -12457, -515","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a kilogram in milligrams?\nAnswer: 75000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5 + 1 - 3)*(-2*k**3 + k**3 - k**3)*(-k + 0 - 1 + 5*k) to the form y*k**3 + q*k**4 + j*k + w*k**2 + x and give y.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -p**2 + 4*p. Let k be x(3). Suppose 2*b = k + 29. What are the prime factors of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve y + 5 = -w, -1829*y - w = -1826*y + 11 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 62933912?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (18\/(-15))\/(8\/(-20)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 344176, 688983, 1033790, 1378597?\n\"Answer: 344807*k - 631","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2863 and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 2*t**2 + 4*t. What is the units digit of m(-3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 - 3 + u)*(0 + u**3 + 0*u**3 + 4) + (-2*u**2 + 0*u**2 + u**2)*(-u + u + 3*u**2) in the form d*u**4 + b*u**3 + q + t*u + n*u**2 and give t.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1946843 millennia in months?\nAnswer: 2336.2116","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 381452634?\nAnswer: 2, 3, 21191813","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 376*i*o**4 - 9*i*o**2 - 951711*i*o - 3*i wrt o.\nAnswer: 4512*i*o**2 - 18*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1014613669234.100074 + -1014611770849. Let n = m - 1898387. Let q = n + 1.9. Round q to 5 dps.\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -601468 by -2.\nAnswer: 300734","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find i, given that 5*i**3 - 71760*i**2 - 8374620*i - 243351760 = 0.\nAnswer: -58, 14468","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6 + 3*j - 3*j + 28 - j + 3*j.\nAnswer: 2*j + 34","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 + 0 + (-51 - -58) + -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 2097 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 757 + -759.482. Round g to 1 dp.\nAnswer: -2.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express p**2 - 635*p - 2*p**2 + 373*p as q + j*p + v*p**2 and give j.\nAnswer: -262","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 37 - 17 - 3 + 4*w + 30. Let q be j(-11). Solve 0 = 2*u + q*u - 15 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 9*a - 4. Let d(r) = 17*r - 7. Let c(s) = 51*s - 21. Let x(v) = 6*c(v) - 17*d(v). Let o(z) = 7*q(z) - 4*x(z). Let m(i) = 5*i. What is o(m(y))?\nAnswer: -25*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 971 divide 227591298?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cclgppcgavvpcpcp. Give prob of picking 2 c.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 326.0093l?\nAnswer: 326009.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 9*z**2. Let c(m) = 24*m**2. Calculate c(d(x)).\nAnswer: 1944*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*n**2\/19 + 5438*n\/19 + 2363136\/19.\nAnswer: 2*(n + 543)*(n + 2176)\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 716 or 477?\nAnswer: 477","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 63 + -92. Calculate the common denominator of -101\/32 and p.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (148 - 54467\/368)\/(3\/4)?\nAnswer: -1\/92","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 146*0.07\nAnswer: 10.22","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 45.25? (a) -4 (b) 0.5 (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f + 2 = n, n + 2*n - 4*f = -22 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3072 and 264407424.\nAnswer: 384","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -1583500 to the nearest one hundred thousand.\nAnswer: -1600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -3124, -3116, -3108, -3100, -3092, -3084?\n\"Answer: 8*p - 3132","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 996\/29 + -510542\/14877. Is 0 at most p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -26*o + 139. Let q be 6\/30 - 725\/(-125). What is w(q)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*a + 5*y - 2431, 0*a - 2439 = 3*a + 3*y. Let g = 3443 + a. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -h**2 - 6*h - 5. Suppose -2*b = -2*f, 6*f = 3*f + 15. Suppose 4*z = -b - 15. Determine v(z).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(275) + 3 - -2*((sqrt(121)*-1 + sqrt(121))\/sqrt(11) + sqrt(11)))**2.\nAnswer: 56*sqrt(11) + 555","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 7*d + 3*l - 28 = 0, 5*d + 3*l - 32 = 0. Solve -11 = -d*x + 5 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -438*n**2 + 820*n - 4. Let w(x) = -3*x**2. Give h(w(t)).\nAnswer: -3942*t**4 - 2460*t**2 - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*b**2*g**3*j + 4*b**2*g**2*h*j + 2*b**2*g**2 + 3*b*g**3*h + 198*b*g**3*j + b*h*j - g*j wrt h?\nAnswer: 4*b**2*g**2*j + 3*b*g**3 + b*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 615255148?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 8*h + 200. Calculate p(-24).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 404 minutes before 7:22 PM?\nAnswer: 12:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -19*x**2. Let r(k) = -26*k - 27*k + 51*k. Calculate r(h(a)).\nAnswer: 38*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 18*v**3 - 320306*v**2 - 71180*v.\nAnswer: 2*v*(v - 17795)*(9*v + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1670 and 4083818?\nAnswer: 334","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 1\/10 of a millimeter?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r**(-1\/2))**(-19\/5) assuming r is positive.\nAnswer: r**(-19\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.6 (b) 1\/2 (c) -304 (d) -0.7 (e) -13\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 408 and 153?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 137 > 135?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 7 - 7. Let u = n + -0.3. Let o = 4.92 - -0.08. Which is the nearest to -1? (a) o (b) 2 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 3*k - 2)*(-4*k + 3*k + 0*k + (-7*k - 3*k + k)*(2 + 0 - 1) - 4*k + k + 2*k) + (2 - 1 - 3)*(4*k**2 - 2*k**2 - k**2).\nAnswer: 31*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*p**2 - 5*p**2 - 7*p**2)*(-8 - 16 + 14 - 16).\nAnswer: 390*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 47\/473 and 69\/30272?\nAnswer: 30272","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 119\/3667200 and -43\/128.\nAnswer: 3667200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 8553606, 35 in increasing order.\nAnswer: 1, 35, 8553606","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 110843.\nAnswer: 199, 557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 2*f**2. Let d(a) = 18*a - 13. What is d(y(u))?\nAnswer: 36*u**2 - 13","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -9793*g**3*x - 2*g**3 - 13*g**2 - 5973*g*x wrt g.\nAnswer: -58758*x - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1489785 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*o + 88 = 184 for o.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 0.6292955 times 4\nAnswer: 2.517182","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 7 = 1. Let n(c) = -37 + 8 + m*c + 6 + 16. Give n(5).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*n - 10 + 2 = 0 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 12053 divided by 1?\nAnswer: 12053","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*d**3 - 5453*d + 10903*d - 5450*d.\nAnswer: 2*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -44.6 - -52. Let y = -6.4 + d. Let u = 2.03 - 0.03. Which is the nearest to u? (a) 0.3 (b) y (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1138*w**3 - 10*w - 123*w**4 - 1138*w**3 wrt w?\nAnswer: -1476*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k = -6, 5*a + 10*k - 8*k + 1 = 0. Let z(g) = 648*g. Let j be z(4). Is 13 a factor of (a\/(-2))\/(9\/j)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (5 - 3)*-1 + 10. Suppose -9 - 23 = -4*y. Is f <= y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*n - 0*n - 16. Let o(h) = 20*h + 6. Calculate the remainder when o(n) is divided by 22.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 10881942*i**2 + 23*i - 63610 wrt i?\nAnswer: 21763884","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 418618592?\nAnswer: 2, 7, 37, 53, 953","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4056*p**3 - 7141*p**3 + 3066*p**3.\nAnswer: -19*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -2872986 at least -2872978?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -2*u. Let q(n) = -63*n. Let b(r) = 4*r. Let y(o) = 49*b(o) + 3*q(o). What is y(x(s))?\nAnswer: -14*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-10)\/2 + 0\/1 + 1. Let c = 8 + -1. Let a = c + j. Solve -a*v = v - 8 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3002039 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0, 9\/7, 1, 2, 16?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -92*o + 371. What is x(4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:16 PM and 1:18 AM?\nAnswer: 482","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 122.4 + -122.7. Let a = 49.107 + -49. What is the third smallest value in -5, a, d?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -1 - (828 - (-2)\/2). What is x rounded to the nearest one hundred?\nAnswer: -800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -12 + -4a2?\nAnswer: -4b4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -566*b + 168*b = -1383 - 2597 for b.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 64 - -136. What is the units digit of z?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*m**3 - 8540*m**2 + 17045*m + 25590 = 0.\nAnswer: -1, 3, 1706","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 4*d + 26. Let f = d + 6. Suppose -u = -22 + 19. Put u, f, 4 in decreasing order.\nAnswer: 4, u, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 4 (b) 3 (c) -0.3 (d) -0.54\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yeeyeee. Give prob of picking 3 e and 1 y.\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 24381 and 278124?\nAnswer: 7509348","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -1\/2, 1.7, 1\/3, -2\/7, 2.197, -5, -0.03?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2476, -2494, -2512, -2530, -2548?\nAnswer: -2566","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2907027, -11628026, -26163029, -46512042, -72675071, -104652122, -142443201?\nAnswer: -186048314","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 1 o when two letters picked without replacement from {r: 1, u: 5, j: 4, o: 5}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -21100223 + -3?\nAnswer: -21100232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 516 - 524. Suppose -y - 2 = -0. Sort 1, v, y, 0.1 in increasing order.\nAnswer: v, y, 0.1, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 51002.6 millennia to decades.\nAnswer: 5100260","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 12*g**2 - 14*g. Let h(y) = y**2 - y. Let t be (7 - 1)*(-4 - 3). What is t*h(u) + 3*q(u)?\nAnswer: -6*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (28 + -21 - 27) + 0 + -4?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*u + u - 72. Suppose -k + u = -26. Let x = k + -16. Is x a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j = j - 24. Let x be j - 2*(0 + 1). Suppose -2*b + 4*b - x = 0. Solve 2*v - 3 = -p, -5*p = -b*v + 20 + 13 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x = 5*p - 2*x - 44, 4*p + x - 31 = 0. Let z = p + -11. Let h = -0.447 + 0.047. What is the biggest value in z, h, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4752*u = -29325 - 29055 + 6108 for u.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 12 + -10. Suppose -4 = -s*l - 10. Let g = l - -13. What is the tens digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -3, 73 in ascending order.\nAnswer: -5, -3, 73","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(84)\/(sqrt(96) + sqrt(6)))\/(1*sqrt(7)*4).\nAnswer: sqrt(2)\/20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (0 - -1)*(-80)\/(-2). Suppose -73 = -r + o. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) -0.27 (b) -0.3 (c) 5\/2 (d) -18 (e) 7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 499 * -4\nAnswer: -1996","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = l**3 + l**2. Let o(p) = 5*p**3 + p**2 + 2*p + 1. Let y be -2*(14\/(-4) + 3). Let g(f) = y*o(f) - 4*v(f). Let d be g(3). Solve -d = -5*z + 8 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/(j**5\/j*j))**10*j**(1\/21)*(j\/(j*j*((j\/(((j**(-8\/5)*j)\/j)\/j))\/j)\/j))\/j)**(1\/11) assuming j is positive.\nAnswer: j**(-4573\/1155)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i**3\/5 - 195*i**2 - 77736*i\/5 + 242064\/5 = 0. Calculate i.\nAnswer: -164, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a litre in millilitres?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 9 - 19 = -2*j, 3*j = -4*g - 20. Let o = 781 + g. List the prime factors of o.\nAnswer: 2, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (7*(-13)\/(-1911))\/((-2)\/(-12)).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 z and 1 j when four letters picked without replacement from zjzzxxzxxxzxx?\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -226206 divided by -639.\nAnswer: 354","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**44\/(n*n\/(n\/n**(1\/2))))\/(n**(-34)*n**(1\/7)) assuming n is positive.\nAnswer: n**(1069\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) be the third derivative of 11*u**5\/60 - 23*u**2. Let c(h) = -2*h. Determine c(a(i)).\nAnswer: -22*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(-6)*p*p**(-3\/8)*(((p**(1\/10)*p)\/p)\/p)\/p*(p\/p**(-6)*p)\/p assuming p is positive.\nAnswer: p**(-11\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 559*t**4 - 16*t**2 + 30?\nAnswer: 13416*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -28359 less than -28358?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1.4? (a) -2\/9 (b) 2\/11 (c) -143\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*o**2 - o**2 + 5*o**2)*(600*o**2 - 640*o**2 + 9484*o**2) in the form b*o**4 + t*o + j + k*o**2 + x*o**3 and give b.\nAnswer: 18888","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w, 2 s, and 1 p when four letters picked without replacement from {u: 2, w: 1, p: 9, r: 3, s: 4}?\nAnswer: 9\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2)\/18 + (-9357)\/1674. Let w = -330\/31 - r. What is the common denominator of 77\/30 and w?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 8706 by 2.\nAnswer: 4353","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 - 2 + 1)*(4*l + 19*l + 5*l) in the form z*l + g and give z.\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 294\/98 - (-1 - 516)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2\/15 (b) 3 (c) -1\/3 (d) -1.2 (e) -6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 65*c - 3261 + 3261 - c + c - 5*c + (3*c - 2*c - 2*c)*(-2 - 4 + 4) to i*c + x and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -21*k**2 + 2. Let l(x) = -106*x + 210. Let q be l(2). Let g(n) = 85*n**2 - 9. What is q*g(d) - 9*z(d)?\nAnswer: 19*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 18, 2018, 1, -5.\nAnswer: -5, 1, 18, 2018","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1607781*u = -1607811*u - 450 for u.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 2*j**3 - 2*j**2 - 1. Let g be b(2). Let i be g\/7 - (0 + -1). Suppose 0*x + 103 = 4*q - x, -i*x + 106 = 4*q. Is q a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) be the second derivative of 0 - m - 1\/12*m**4 + 1\/6*m**3 + 0*m**2. Factor l(t).\nAnswer: -t*(t - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -278, -559, -840, -1121, -1402?\nAnswer: -1683","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 16650000 to the nearest one million.\nAnswer: 17000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 3356 = s - 7086, -s = v - 3476. Is 2 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h = -h + 135. Let s = h - 83\/3. Let q = -8.8 - -9. What is the nearest to s in -4, q, 5?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(sqrt(3) + -4) + 3 + -4 + (sqrt(75)*-6 + sqrt(75) + sqrt(75))**2.\nAnswer: -2*sqrt(3) + 1207","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is seven quarters of a litre in millilitres?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (178\/(-1068))\/(121\/9). Sort -1\/6, 2\/17, -0.2, 1, l in decreasing order.\nAnswer: 1, 2\/17, l, -1\/6, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3*v + 3)*(-60*v**4 - 319*v**4 + 61*v**4) + 3*v**5 - 3*v**5 - 2*v**5 + (-3*v + 2*v - v)*(2*v**4 - 3*v**2 + 3*v**2).\nAnswer: -960*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-12*408\/(-120))\/(5*(-9)\/150).\nAnswer: -136","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -11 + 1 + 5 + 6\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:45 PM and 5:55 PM?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(63) - (sqrt(6300) - (((sqrt(6300) + sqrt(6300)*2 - sqrt(6300)) + sqrt(6300) - sqrt(6300)) + sqrt(6300))))\/(-2*sqrt(1089)) + 0.\nAnswer: -21*sqrt(7)\/22","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 1, c: 2, r: 2}. Give prob of picking 1 r and 1 c.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -85, -79, -83, -103, -145, -215?\nAnswer: -319","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*a + 0*a + 2*a)*(-3*a + 0*a + a) + 3*a**2 - 4*a**2 + 2*a**2 - a.\nAnswer: -3*a**2 - a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (209 - 194) + -23 + -1?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 86066?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (13*n - 13*n - 4*n**3)*(3*n - n - n) - 2*n**3 - 21*n**4 + 12*n**4 + 8*n**4 - 2.\nAnswer: -5*n**4 - 2*n**3 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5)\/((8075\/38)\/(-17))*(-10)\/34.\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.4 and 4765?\nAnswer: 1906","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = s**3 - 47*s**2 + 173*s - 46. Let h be u(43). Let p be (-82)\/4*-2 - 0. Let q = p - h. Is 11 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -19898, -19915, -19922, -19913, -19882, -19823?\n\"Answer: i**3 - i**2 - 21*i - 19877","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*u**2\/4 - 72*u + 891\/4.\nAnswer: -3*(u - 3)*(u + 99)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 9258223?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = x**3 - 2*x**2 + 1. Let o be f(1). Suppose 0 = -o*l - 4*l. Suppose l = -2*k - k + 27. Is k a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 16 + 79 = -5*o, -2*r - 5*o + 3 = 0. Let z be 2\/r - 144\/(-21). Solve 0*t - 7 = -5*p + 4*t, -5*t = -p - z for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.137 * 0.1.\nAnswer: -0.0137","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -28, -23, -18, -13?\n\"Answer: 5*a - 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 16\/11, 0.08, -15, -0.5?\nAnswer: 16\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s + 3*a + 16824 = -2193, 3*s = a - 18997. Let t = s + 132967\/21. Let h = 737\/9 - 8207\/90. What is the common denominator of h and t?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (16 - 5 - 7)*(3*g + 3*g - 3*g)*(2*g**3 + 2 - 2) in the form l*g**2 + y + j*g**4 + h*g**3 + v*g and give j.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 28889, 28890, 28891, 28892, 28893, 28894?\n\"Answer: t + 28888","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*f = -36 - 18 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -19 - -19. Suppose q = -5*k + 65 + 635. Let v = k + -77. What is the highest common factor of 9 and v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 2 - 1)*(1 - 1 + 5*b)*(-20 + 0 + 0).\nAnswer: 200*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 10073326*d**3 + 2*d**2 + 161590404*d wrt d.\nAnswer: 60439956","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 5, -18, -8, 2 in descending order.\nAnswer: 5, 2, -5, -8, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 116034 a multiple of 116?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*f + f - 2*f)*(-2 + 4 + 13*f - 1).\nAnswer: 26*f**2 + 2*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -73 + 92 - (2 + 10 - (2 + 0))?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w - 12*l - 2722 = -11*l, -w + 3*l = 914. List the prime factors of 1\/((-1)\/w) - 1.\nAnswer: 907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l - 3*b + 28 + 10 = 0, 0 = -5*b + 10. Suppose 2854*v = 2897*v - 215. Solve v*w = t + l, -2*w - 2*t = -w - 12 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 57*a**3*b**2*o - 16364*a**3 - 5669*b**2*o + 19*b**2 wrt o?\nAnswer: 57*a**3*b**2 - 5669*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 4, -295, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 136 + 128 = 0. Suppose t - 3 = -4*y, 4*t - 12 = g*y + 3*y. Is y > -1\/135?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -35*t**3 - 43*t**3 + 87*t**3 - 149*t**2 - 289*t + 149*t**2 + 289*t.\nAnswer: 9*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide 102 by 34.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Add together -250934797 and 41.7.\nAnswer: -250934755.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 7\/10, 1\/6, -3?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*(h*h**(-7)\/h)\/h*h*h**(-14))\/((h\/(h**(2\/49)*h))\/(h\/(h\/h**(-15)*h))) assuming h is positive.\nAnswer: h**(-1762\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) be the third derivative of 5\/6*g**3 + 0*g + 1\/60*g**5 + 1\/4*g**4 + 0 - 2*g**2. Let b be (-4)\/(3 + -2 - 0). Determine f(b).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (20\/3 - 2)\/(64\/288). Let g(i) = 125*i + 2. Is g(d) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2500424 is divided by 2269.\nAnswer: 2255","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 5*k**2 + 21*k**2 - 4*k**2 - 2*k**2 + 7*k**2. Let c(d) = 10*d**2. Give c(t(z)).\nAnswer: 7290*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.4 minus 213.778?\nAnswer: -208.378","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b + 2*x + 2 = 0, 5*x = -b - 2*b - 5. Let p = -3 - b. Calculate the common denominator of (-123)\/4*2\/p and -21\/4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -35 + 157*r - 71 - 159*r - 8*r**2 + 0*r**2 in the form f*r + a*r**2 + s and give f.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -86*d = -90*d + 60. Calculate the remainder when 24 is divided by d.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 7 - 7.3. Let a = -289.36 + -2.64. Let v = -292.07 - a. Put 0.1, v, x in decreasing order.\nAnswer: 0.1, v, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + 383 = 4*z + 357, 5*z = -4*w + 52. Solve -4*k + z = -o, 3*k + 83*o - 80*o + 9 = 0 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5.69*259.\nAnswer: 1473.71","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -3*x**2 - x + 2. Let d(s) = 36*s - 105. Let p be d(6). Let n = p + -109. Determine l(n).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.04 and 9468.\nAnswer: -378.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = y**2 - 12*y - 3. Let s(a) = a**2 - 11*a - 2. Let m(w) = 4*s(w) - 3*z(w). Let j = 10 - 1. List the prime factors of m(j).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*b - 0*b - 12, 3*b = 5*v - 2813. Suppose -79 = 3*a - v. Is 18 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 28548 + -1d?\nAnswer: 2852b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (65\/(-15) - -3)*66\/44. Sort y, -30, -4, 0 in descending order.\nAnswer: 0, y, -4, -30","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2.4 in 6, 17, -2, -1, 12?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 7695 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 44923 - 24258. What are the prime factors of k?\nAnswer: 5, 4133","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 390*d - 934 = -154. Let z(g) be the third derivative of 0*g**5 - 1\/1200*g**6 + 0 - 35*g**d + 1\/80*g**4 - 1\/30*g**3 + 0*g. Determine s so that z(s) = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6 - -34 - 9) + (34 - 134 - -22).\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 2*l + 4)*(-270*l - l**2 - 7*l - l**2 - 2).\nAnswer: -4*l**3 - 554*l**2 - 4*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l when two letters picked without replacement from {l: 6, t: 2}?\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00444227837 rounded to four decimal places?\nAnswer: -0.0044","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -j - m - 1 + 7, j + 4 = 4*m. Suppose 5*x + 4*d + 7 = 0, 2*x - d + j = -3*d. Let k(a) = -5*a**2 + a - 1. Give k(x).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -70*i**3*n**2 + 46*i**3*n - 4115*i**3 - 29600*i**2*n + 22*i*n**2 + 15*n**2 wrt i?\nAnswer: -420*n**2 + 276*n - 24690","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -3524*c**2 - 2*c. Let g be s(2). What is g rounded to the nearest one thousand?\nAnswer: -14000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 1, q: 2, x: 1, h: 1, z: 1, r: 1}. What is prob of picking 2 q, 1 r, and 1 h?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in nineteen quarters of a minute?\nAnswer: 285","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 142, 191, 240?\nAnswer: 289","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -d**3 + 4*d**2 - d + 4. Let m be 4\/(-10) - ((-556)\/(-10) - -2). Let u = m + 61. Calculate the smallest common multiple of i(u) and 4.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20748 is divided by 1693?\nAnswer: 432","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -8*n**4 - 35*n. Suppose 4*w - 11*w - 35 = 0. Let t(z) = z**4 - z. Let f(j) = w*t(j) - x(j). Find the second derivative of f(d) wrt d.\nAnswer: 36*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine r, given that r**3\/3 + 4*r**2 + 29*r\/3 + 6 = 0.\nAnswer: -9, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = 1, 3*o - 333*g = -331*g - 4328. What is the third biggest value in o, 3, -0.5?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -14.8 + 12.8. Let f = -2.4 - -2. What is the closest to 2\/3 in d, f, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4f2b (base 16) to base 15.\nAnswer: -6012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 9 = -5*a, 7*w = 2*w - 10. Let r be 2\/a - 3\/(-9). Which is bigger: r or 0?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1044\/24*((-140)\/24)\/35*4.\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 61523 to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 291 divided by 626.\nAnswer: 291\/626","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*c - 11*c = 393. What is the hundreds digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 30 or -650835.9?\nAnswer: 30","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 39 >= 2\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from osc. What is prob of sequence sc?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 214451, 214772, 215091, 215408, 215723?\nAnswer: 216036","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 31 - 25. Suppose -p - 3*c = -2, -5*c + c = 3*p - z. What is the remainder when 6 is divided by p?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 2*s + 6. Let j be r(-6). Let p be (-3)\/j - 1\/6. Factor -1\/3*c - 2\/3 + p*c**2.\nAnswer: (c - 2)*(c + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 330 = k. Suppose 103 = 4*r - 9. Calculate the remainder when k is divided by r.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine c so that -c**4 + 16*c**3 - 24*c**2 - 320*c - 400 = 0.\nAnswer: -2, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 13849 + -13849.1. What is the closest to v in -0.08, -5\/3, 2, 1?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 15910?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + i + 4*q = 10, 5*i - q - 7 = 0. Find d, given that -8\/3*d**3 + 8\/3*d - 2\/3*d**4 - i*d**2 + 8\/3 = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g = 4*q + 108, 9*q - g - 36 + 79 = 0 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 129970 and 1640?\nAnswer: 410","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let -25*n**5 - 50170*n**4 - 40024*n**3 + 192656*n**2 + 160496*n + 32096 = 0. What is n?\nAnswer: -2006, -2, -2\/5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*q - 41 - 8. Solve 21*s - q = 14*s for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 4845a + -2?\nAnswer: 48458","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.015 in -4, 539, 0.3, 1.6?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 + -7 - (0 - 4 - 3)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.03 + -0.13. Which is the biggest value? (a) -4 (b) u (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 3a0a + -696?\nAnswer: 3324","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Add together 3 and -3231440.\nAnswer: -3231437","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gkgk when four letters picked without replacement from kgggggkggg.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Total of -1746 and -64800.08658.\nAnswer: -66546.08658","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 275 and 153175.\nAnswer: 275","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6998843mg in nanograms?\nAnswer: 699884.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3 + 3.9. Let c = 0.1 - -0.9. Let z = i - c. Is 0 at most z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-c**5 + 2*c**5 - 3*c**3 - c**3)*(7 + 6 - 16)*(0 + 0 - 1).\nAnswer: 3*c**5 - 12*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oww when three letters picked without replacement from wvwow.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 101 = 3*t - 2*a, -7*a - 16 = -3*a. What are the prime factors of t?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1311.64 to the nearest 10.\nAnswer: 1310","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -9.6 + 18.6. Let t be 7*(-3)\/(-7) + 22\/(-6). Which is the closest to t? (a) -4 (b) -3 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/(-10))\/3*(-6)\/1.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -158 + 74. Let w be 5\/2*j\/(-70). Let l(s) = s**2. What is the remainder when 25 is divided by l(w)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3376 divided by -1\nAnswer: -3376","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.37 - -0.03. Let a = 0.4 + o. Let u = 9 + -15. Which is smaller: u or a?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 6? (a) -0.187 (b) -20 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 58 - -19. Suppose -8*l = 3*l - g. What is the remainder when 10 is divided by l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-33 - (-3 - 1)) + -1 - (-55 - -45)?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by -2784\nAnswer: 1\/928","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*y - 4*g - 24, 3*y - 4*g - 28 = -4. Solve y = -22*d + 143 - 33 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 82854 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(117) + 0 + sqrt(117) - (sqrt(13) - (3 + sqrt(208))))**2.\nAnswer: 54*sqrt(13) + 1062","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1243320 (base 6) to base 14.\nAnswer: -1aba8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-14)\/(-4))\/(860\/(-688)).\nAnswer: -14\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 2364, 2382, 2400, 2418, 2436, 2454?\n\"Answer: 18*x + 2346","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -800600 to the nearest ten thousand.\nAnswer: -800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -4*t**2 + 29*t - 32. Determine s(5).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 2, -4, -1\/6, -34\/19, -3\/2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5 + 9. Suppose -2*h - 11 = 5*y, -3 = 4*y + 1. Let k = h - -5. Sort j, k, -5.\nAnswer: -5, k, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -131 + 480. Suppose -21*l = -p - 8429. Is 9 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1141618 and -34.7.\nAnswer: -39614144.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -125 divided by 25\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 2*h. Let q be 8 + -3*(-4)\/(-6). Calculate the least common multiple of n(q) and 18.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -9 - -8. Let u be h\/(-3) - (-460)\/(-12). Let t = 53 + u. What is the units digit of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 2204225 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*i**2 - 3 + 3)*(i + 1 - 1) + (19*i + 23*i - 15*i)*(0 + 4 - 2)*(25 - 5*i - 25)*(i + 3*i - 3*i) to the form d + o*i**3 + p*i**2 + f*i and give o.\nAnswer: -268","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m + 0 = 5, 3 = 5*x - 2*m. Let u = -9 - -15. Calculate the highest common divisor of x and u.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 - (-20)\/((-160)\/136) - (-246)\/22.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -2*x**3 - 2*x. Let r(u) = 7*u + 3. Let w(s) = -9*s - 4. Let o(q) = -4*r(q) - 3*w(q). What is -d(z) + 2*o(z)?\nAnswer: 2*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*h**2 - 3 + 0*h**2 + 0 - 4*h**2 as d*h + g + n*h**2 and give g.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1795690 and 190?\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3969.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1457633 to the power of 1\/2, to the nearest integer?\nAnswer: 1207","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (2 - 3) + (2 - 1). Suppose 4*k + 27 = 3*g, -k + 5*g = -2 - 4. Let z be k\/(-15) + (-138)\/130. Which is smaller: z or x?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 3*n - 18. Let h be t(6). Suppose -51*b + 53*b = h. Let a be 8 + 2\/(b + 2). Calculate the highest common factor of 18 and a.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -40 + 42 + -116 + 12 + 33?\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) be the first derivative of 0*l + 1 + 1\/2*l**2. Let x(t) = 6 - t - 6. Calculate p(x(h)).\nAnswer: -h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 54 - 30. What are the prime factors of w?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2897.691 rounded to the nearest one hundred?\nAnswer: -2900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 35*(9 + -13 - 154\/(-35)). Solve 13*h - g = 2*x + 9*h, h = 3*x + 6 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.06 take away -1063.254219?\nAnswer: 1063.194219","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 0 - 2 - 1 - 4*k - 2. Let a be g(-2). Solve -a*n = -0*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-2 - (-10)\/3)*65487009\/476 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((365\/(-1752))\/(-1))\/((-15)\/63)\nAnswer: -7\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -619, -1243, -1867, -2491?\n\"Answer: -624*f + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1030 - 622. What are the prime factors of z?\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -3 (b) 0.02 (c) -0.53 (d) 0.1 (e) -0.4 (f) -11 (g) -99\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 9*o - 8. Let n be m(2). Let r be (1 + 0)\/((-1)\/n*-2). Let t = -1 - -13. Solve -3*p + t = k, -3*p + 2*k - r = -17 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n*n\/(n*n\/(n\/(n**(-4\/5)\/n))*n)*n*n)\/n)\/n**(3\/4))**(-5\/3) assuming n is positive.\nAnswer: n**(-41\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 10292?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u = 5*w - 17, 7*w + 33272 - 33297 = -4*u for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0 - -22. What is the tens digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33723203 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3913158?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 326030 is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1896165?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 17*b**2 + 20. Let f(l) = -2*l**2 + 52*l. Give f(j(g)).\nAnswer: -578*g**4 - 476*g**2 + 240","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 22*k**2 + 148 - 46*k**2 + 23*k**2 to t*k**2 + x + c*k and give x.\nAnswer: 148","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3548?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1887091 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 139 a factor of 356480929?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*i = 5*p - 10, -i - 4*p + 5 = -2*i for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 15247, -2\/3, -2, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -813225310, -813225312, -813225314, -813225316, -813225318, -813225320?\n\"Answer: -2*b - 813225308","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -2\/310858049?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 321\/27490 <= -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (26\/(-4) + 8)*-2 + (4 - 2). Is -12\/379 at most n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 3 and 2529954762.\nAnswer: 2529954765","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*m - 0*m + 5*t + 88, -4*m + 100 = 2*t. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13125982061 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(5) + (-6*(sqrt(45) + sqrt(5)))**2 - ((sqrt(160)\/sqrt(4))\/sqrt(8))**2.\nAnswer: sqrt(5) + 2875","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 84.7 from 4.\nAnswer: -80.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -494 or -493?\nAnswer: -493","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -s + 2. Let d be h(-1). Suppose -d*n - 6 = 3, -5*r + 5*n + 25 = 0. Suppose -2*b = r*v + 2*b - 16, -3*b = 0. What is the units digit of v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-3 - -1)\/(2\/(-3)). Suppose -m = -j - l, 1 = -2*j - 0*j + m. Let w(u) = -u**3 - u**2 + u - 2. Let p be w(-2). Solve p = 5*x - j*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6096 to the nearest integer?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 11682 (base 9) in base 14?\nAnswer: 2c0a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31*l = w + 33*l - 318, l + 327 = w. Is w a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*w**4\/7 + 48*w**3 - 6712*w**2\/7 - 2064*w - 7396\/7.\nAnswer: -4*(w - 43)**2*(w + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -159*s + 561 + 1347 = 0 for s.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -841 and 2?\nAnswer: 843","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1\/11 - 25\/88. Let b = 634\/3 + -211. Put -4, w, b in ascending order.\nAnswer: -4, w, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 450514 is divided by 450096.\nAnswer: 418","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -13, 19, 0.4 in descending order.\nAnswer: 19, 0.4, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -14 + 32. Let j be ((-3)\/(-9))\/(2\/t). Solve -4 = j*q - 16 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 571380.\nAnswer: 2, 3, 5, 89, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19 = -3*j + 2*i, -2*j - 2*i + 42698 = 42682 for j.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -9803000 rounded to the nearest one hundred thousand?\nAnswer: -9800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 57 + -27. Let f = k + -9. Let n = f - 20.6. Which is the second smallest value? (a) n (b) -1\/7 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5 + -9. Let g = 1 - 3. Put 4, g, x in decreasing order.\nAnswer: 4, g, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = g + 7. Let u be t(-7). Suppose u = 2*s - 5*s - 3. Let l(d) = -d - d + 3*d - 2*d**3 + 2*d**2. Give l(s).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1001100 (base 3) to base 4\nAnswer: -23331","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mm when two letters picked without replacement from mmmmmmm?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j - 6 = -3*k, 3*k - 2*k = -j - 6. Suppose -4*p = -w - 5, 0 = -p + 1 + 2. Let b = w + k. Solve b*o = -5*g + 8, -g - 4 = -2*o - 2*g for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7959021?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express 7 + 5 - 29 + 9 + 2120*z + 9 + 2*z**2 - z**3 as g*z**2 + q*z + s + o*z**3 and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 171 = -0*s. What is the highest common divisor of s and 38?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 33155815 and 1155?\nAnswer: 385","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 15*2\/(-6) - (-38)\/10.\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -2*r**2 + 4*r - 13. Calculate v(3).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 539669078 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m**5 + 5398*m**4 + 21548*m**3 - 32412*m**2 - 194094*m - 145530 = 0. What is m?\nAnswer: -2695, -3, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 plus 458364211376?\nAnswer: 458364211376.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*s**2 - 73 + 0*s**2 + 56 + 5*s)*(-5*s**3 - 8*s**3 - 5*s**3) + (s**4 - s**4 + s**4)*(s + s - s) + 0*s**2 + 0*s**2 - 2*s**5 + 2*s**5 - 3*s**5 - s**5.\nAnswer: -39*s**5 - 90*s**4 + 306*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -308 or -201?\nAnswer: -201","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -1. Let l(k) = k - 7. Let q(g) = -2*l(g) + 18*y(g). Let m(z) = 3*z + 5. Calculate 3*m(c) + 4*q(c).\nAnswer: c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-4)\/((-12)\/81)*(11 + -2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n = 5*p + 45, p = 1 - 2. Suppose -10*u = -n*u - 6. What is the units digit of (-2)\/u - (-586)\/6?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2 - -1. Suppose 0 - 8 = -4*m. Sort 0, x, m in increasing order.\nAnswer: x, 0, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = m**3 - 22*m**2 - 5*m + 118. Let u be z(22). Let f(o) = -27*o + 1. Let a be f(-1). Solve a - u = 4*w for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -668364, -668366, -668368, -668370, -668372?\nAnswer: -668374","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -31*a - 147. Let b be j(-5). Suppose -2*i + 3*u = -24, -12 = -2*i + 2*u + b. Which is smaller: 8 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2 + -1000333?\nAnswer: -1001001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ktttkkt. What is prob of picking 4 t?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*o**2 + 4*o**2 + 0*o**2 - 6*o**2.\nAnswer: 2*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -78*d**3 - d**2 + 2*d - 1. Let v be 4\/(-14)*-1 - (-23)\/(-7). Let k be u(v). Suppose 5*w = -0*w + h + 3480, -3*w = -h - k. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -674 - -4?\nAnswer: -670","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:04 PM and 2:39 PM?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 292?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 4 - 2)*(1 + 3*b - 1)*(4 - 3 + 0).\nAnswer: -24*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9 + -7 + -1 + (3 - 1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from khhcnnllhknnldn. What is prob of picking 1 k and 3 h?\nAnswer: 2\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -555, -422, -289, -156, -23, 110?\nAnswer: 243","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6751559 is divided by 21?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 36 and 408281640.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in fifty-two fifths of a millennium?\nAnswer: 1040","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) be the third derivative of -10*a**2 + 0*a**3 - 7\/24*a**4 + 0*a + 7\/120*a**6 + 0*a**5 + 0. Find the second derivative of v(h) wrt h.\nAnswer: 42*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 71\/196504 and 44\/4263?\nAnswer: 4126584","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12370 is divided by 1761.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 12*q**4 + 10*q**4 + 8 + 9*q**4 - 15*q**4 with respect to q.\nAnswer: 64*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -29684*s**3*w**2 + s**3*w + 16*s**3 - 502*s*w**2 - 1235*s wrt s.\nAnswer: -178104*s*w**2 + 6*s*w + 96*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 65 - -220. Let o be (-16)\/12*p\/(-10). What is the greatest common factor of 304 and o?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = v**2 + 10*v - 3. What is d(-10)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/(-14) + 2\/210*-93.\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -4*l - 18. Let z = 11 - 6. Suppose -z*k + y - 139 + 34 = 0, 0 = -2*y. What is the units digit of t(k)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2, -3, 60, -5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 3.963, -1, 1, -0.6, -3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 389\/4 - 971\/10. Suppose 5*m = -m. Which is bigger: m or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -19.689 + 20.289. Let a be (1 - 0) + 2\/(-2). What is the closest to a in -0.3, 0, j?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) be the first derivative of -19*j**5\/60 + 41*j**3\/6 + 9*j**2\/2 - 34. Let n(r) be the second derivative of k(r). Differentiate n(t) wrt t.\nAnswer: -38*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -l + 24. Let g be u(0). Suppose -y + 3*y = 3*d + 159, d = 3. Calculate the highest common factor of g and y.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) be the first derivative of 13*r**7\/840 - r**6\/360 + r**5\/60 - r**4\/24 + r**3\/3 + 3. Let a(j) be the third derivative of z(j). Is 12 a factor of a(1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 5*p**2 + 18*p - 44. Let t be l(-14). Let x = t - 276. What are the prime factors of x?\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.05? (a) 0.5 (b) -13 (c) 8706\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand p**5 + p - p + (-3*p + 3*p + 2*p**5)*(-3 + 0 + 1) - 2*p**2 + 2*p**5 + 2*p**2 + (2772*p**2 - 272*p**2 + 448*p**2)*(2*p**3 + 3*p**2 - 3*p**2).\nAnswer: 5895*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 3\/5, 0.1, -9\/2, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z = -4*p + 37, -3*p + 19 = -z + 3*z. Let o(u) = u**3 - 2*u**2 + u - 6. Let y be o(p). Which is the smallest value? (a) y (b) 0 (c) 2\/11 (d) 1\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4345?\nAnswer: 5, 11, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 123*g**5 - 10268*g**4 + 2194405*g**2.\nAnswer: 7380*g**2 - 246432*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 61 and -0.06.\nAnswer: -3.66","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 1310 divided by -655\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 82.2 + -74. Let l = -7 + r. Let v = 459 + -459.5. Which is the biggest value? (a) 3\/7 (b) l (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 4*z = -4*h + 138, -96 = -4*h - 4*z. Suppose -23*d = -h*d + 1305. What is the units digit of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 47594.\nAnswer: 2, 53, 449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 46*k**2 - 11*k + 29. Let j(y) = 35*y**2 - 9*y + 22. Let b(n) = -9*j(n) + 7*t(n). Let r(c) = -c**2 - c - 1. What is b(u) + 3*r(u)?\nAnswer: 4*u**2 + u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1433, -1843, -2253, -2663, -3073?\nAnswer: -3483","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u - 1 = -19. Suppose 2*p + 0*p = -u. Calculate the common denominator of p\/3 - 266\/(-36) and -53\/12.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5 - 0. Let l = 23 + -20. Suppose 6*t - 3 - l = 0. Put t, -5, w in decreasing order.\nAnswer: w, t, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 600652590 divided by 31.\nAnswer: 19375890","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*w + 1 = 19*w - n, 0 = -4*w - 2*n - 2 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) be the second derivative of -g**3\/3 + 1861*g**2\/2 - 44*g + 34. Let v(d) = 2*d. Give v(w(j)).\nAnswer: -4*j + 3722","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 111 - -16. What is the units digit of o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) be the first derivative of 22*s + 0*s**2 + 0*s**3 - 14 - 13\/4*s**4. What is the derivative of f(o) wrt o?\nAnswer: -39*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/(x*x**(-5))*x*x\/(x\/((x*(x\/(x*x**10))\/x*x*x)\/x))*((x**17*x)\/x*x*x)\/(x*x**(2\/13)))**37 assuming x is positive.\nAnswer: x**(7141\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - (0 - 2) - (44 + -37)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0*(-26)\/(-2262) + (3\/4*4 - 48)?\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.4 and 69458893.\nAnswer: 69458892.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 6*y - 11. Let i(z) = 5*z - 10. Let l(h) = -5*i(h) + 4*j(h). Let d be l(4). What is the second derivative of -4*t**4 - t**d + t**2 - 5*t wrt t?\nAnswer: -48*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 79\/384 and -79\/59816832?\nAnswer: 59816832","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 19 + 3*v**2 + 9 - v**2 - 28. Let o(k) = -68*k**2. What is o(x(f))?\nAnswer: -272*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1422799.\nAnswer: 7, 439, 463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-64)\/240*6*20190\/(-4). Suppose -k = 17*v + 2022. Which is smaller: v or -593?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1\/((-5)\/(-20))*5\/15\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.001224592801 to seven decimal places.\nAnswer: 0.0012246","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 1512136.7 to the nearest ten thousand.\nAnswer: 1510000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.09 + -0.01. What is the smallest value in -5\/6, 0.4, d?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 19\/40 and 81\/356?\nAnswer: 3560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Do 437374 and 437135 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -1, 3, 5, 4, -4, -246.\nAnswer: -246, -5, -4, -1, 3, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is seventy-one fifths of a litre in millilitres?\nAnswer: 14200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 112*i - 680. Is 4 a factor of v(11)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1165.4 - -1163.9. Sort -1, c, 0.06, 4, -2\/9 in descending order.\nAnswer: 4, 0.06, -2\/9, -1, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -234*w**2 + 230*w**2 + 0 - 11 - 7 as m*w**2 + v + g*w and give m.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*q - 3*q = 15. Suppose q*b - 2 = 3*y + 4, -y - 17 = -4*b. Let k(p) = 3*p - 7. What are the prime factors of k(b)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - 25 = 3*k, 3 = 4*t + k. Let f = 10 + -5. Put f, t, 4 in decreasing order.\nAnswer: f, 4, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -180 or -10?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -33452004 (base 6) to base 7.\nAnswer: -11436223","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -222, -221, -220, -219, -218?\nAnswer: -217","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 489 + -274. Round b to the nearest ten.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 9 (b) 0 (c) 0.4 (d) -0.239 (e) 5 (f) -5352\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*r**2 - 4 - 2 + 5 - 2 + 2.\nAnswer: 12*r**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -2*2\/(-8)*2. Let v be (-1)\/(d + 18\/(-15)). Find the second derivative of 3*k - 3*k - 2*k + 3*k + 2*k**v wrt k.\nAnswer: 40*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 65*n**2 - 53*n - 1192. What is the units digit of t(-15)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 0.3773628 millilitres?\nAnswer: 0.0003773628","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -n**3 - 75*n**2 - 226*n - 98. Determine w(-72).\nAnswer: 622","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1391?\nAnswer: 13, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -27 - -53\/2. Let m = 257.877 - 258. Let s = -0.223 - m. What is the closest to s in j, -0.3, 3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 6\/113 + 291\/904. Let i(r) = -r**3 - 8*r**2 + 3*r + 12. Let x be i(-8). Let m = 7 + x. Which is the nearest to 2\/5? (a) -3 (b) m (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -m - 14. Let d(y) = 6*y + 2. Let p be d(-3). Let b be w(p). Solve 0 = s + 7*n - 2*n, -b*s = -4*n for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 115 in -0.4, 0, 0.1, -8?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 38877533.4 rounded to the nearest one million?\nAnswer: 39000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (1916 - 11) + 6 - (-1 + 4). Calculate the highest common divisor of 36 and x.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/5, 0.3, -8, -2\/13 in decreasing order.\nAnswer: 2\/5, 0.3, -2\/13, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -10 + 22. What is the lowest common multiple of 6 and b?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 71203.3 nanograms in micrograms?\nAnswer: 71.2033","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*w**2\/4 - 47847*w + 763111803.\nAnswer: 3*(w - 31898)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/4? (a) 0.3 (b) -4 (c) -582\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5 + -1. Let h(b) be the second derivative of 9*b - 3*b**2 + 0 + b**3 + 1\/12*b**4. What is h(m)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -39, 0, -61, 2, -1, 7 in descending order.\nAnswer: 7, 2, 0, -1, -39, -61","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 68.53816 grams to micrograms.\nAnswer: 68538160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -68 divided by 806\nAnswer: -34\/403","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -11.391 to the nearest ten.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 divided by -24?\nAnswer: -1\/24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 451495879 to the power of 1\/2, to the nearest integer?\nAnswer: 21248","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wgkjywwwwjwjkkky. Give prob of sequence jyyg.\nAnswer: 1\/7280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 17 - 13. Suppose -n*t = -0*j - j - 36, 5*t - 32 = -2*j. Is t even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = -3*p + 3*d - 7, -2*p - 2*d - 8 = 0. Let t(z) = 10*z**2 - 8*z - 28. What are the prime factors of t(p)?\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 2*q**3 - 17*q**2 + 14*q - 14. Let c be (11\/(-4))\/(2\/(-8)). Is b(c) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 441 = 3*n, 4*k + 406 = 2*n + n. Let r = n - 37. What are the prime factors of r?\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-480)\/(-220))\/(14\/77)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -0.03*112.5026\nAnswer: -3.375078","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4763 (base 9) to base 16.\nAnswer: dd4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 7 + 0)*(6*v - 11 + 11)*(-213 - 51 + 101) as r*v + b and give r.\nAnswer: 5868","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of (7306750\/500 - 1*(-6)\/(-4)) + -1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -5*y**2 + 951*y - 619. Determine f(190).\nAnswer: -429","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6805725*-130.\nAnswer: 884744250","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*k - 53 + 23. What is the lowest common multiple of k and 9?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -g**2 + 54709*g - 328219. Calculate p(6).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -947200 to the nearest 100000.\nAnswer: -900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*s**3 + 14*s**3 + s + s**3 as h*s**2 + q*s + m + j*s**3 and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -h**3 - 8*h**2 - 3*h - 10. Suppose 2*a + 2*p = a, 5*p - 52 = 4*a. Let q be t(a). Let f = q + -2. Solve -5*y + 25 = 5*j, -5*j - 2*y - f = -31 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 29.68 - 30. Let p = -0.92 - r. Let x = -0.0156 + 1.0156. What is the third biggest value in -7, x, p?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100101000110 + 100100111001101101?\nAnswer: 100101011110110011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 394*q - 538*q + 144*q + 19*q**3.\nAnswer: 19*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1\/3 (b) 485 (c) -3 (d) 5 (e) 1\/10 (f) -2\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 103*z - 50 - 114*z + 141.\nAnswer: -11*z + 91","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 59 - 59 + 67*s to the form f + g*s and give g.\nAnswer: 67","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:33 AM and 3:18 PM?\nAnswer: 405","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -97 = -0*s - 9*s - 115 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 283704?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/13? (a) 1\/3 (b) 2\/3 (c) -0.7 (d) -3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) be the first derivative of 1\/14*h**5 - 3 - 1\/21*h**4 + 0*h**3 + 0*h**2 + 4*h. Let u(f) be the first derivative of k(f). What is w in u(w) = 0?\nAnswer: 0, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1)\/((-33)\/(-12) - 3). Let z(j) be the third derivative of 0*j**3 - 2*j**2 - 1\/20*j**6 - 1\/24*j**c + 0 + 1\/60*j**5 + 0*j. Give z(1).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 187\/25920 and 39\/1100.\nAnswer: 1425600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pxc when three letters picked without replacement from xqcrrpcpcrcxrc.\nAnswer: 5\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = y**2 - 7*y. Let v(g) = g**2 - 6*g. Let q be ((-14)\/4)\/(3\/(-6)). Give q*v(z) - 6*d(z).\nAnswer: z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 50 = -10. Let p(c) = -5*c**2 - 13*c - 44. Let a be p(-7). Let b = -194 - a. Solve -b*s - o = s for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zzss when four letters picked without replacement from {s: 5, z: 13}?\nAnswer: 13\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 11453100 rounded to the nearest 1000000?\nAnswer: 11000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.3549972916 to three dps.\nAnswer: 0.355","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + (sqrt(108) + -1)*1 + 4 + sqrt(108)*-1)**2 + (-5*(-1 + -6*(sqrt(108) + -1 + sqrt(108))))**2.\nAnswer: -18000*sqrt(3) + 389434","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -2*t - 2. Let c be f(-7). Let n = -40 + 36. Let a be 27 + (n - (-1)\/1). Calculate the greatest common factor of a and c.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 3 - 3 + 5*h - h**2 - 1 - 3. Let r be a(5). Let u(i) = -i**2 - 5*i - 1. Give u(r).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -7, 5\/6, 1, 3, -4\/19?\nAnswer: -4\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 62228 is divided by 52.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -594 - 19?\nAnswer: -613","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 581 minutes before 7:21 AM?\nAnswer: 9:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (-17484)\/(-94)*4\/(-24)\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = c**2 - 4*c + 7. Let q be n(5). Suppose -5929644 - 970356 = q*i. Round i to the nearest 100000.\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/8066, 4, 17, 0.1, 2, 0.3 in descending order.\nAnswer: 17, 4, 2, 0.3, 0.1, 1\/8066","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*i + 19*s - 15*s - 8, 2*i - 3 = -s for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fxxf when four letters picked without replacement from {x: 3, f: 2}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*c**4 + 10146*c**2 + 12*c + 1119429.\nAnswer: -8*c**3 + 20292*c + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -2*n + 15. Let d be s(6). Solve -3*m + 6 = d for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3.89 * -8159.6.\nAnswer: 31740.844","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**2)**(-4\/35)\/(l\/((l\/l**(-2)*l*l)\/l)*(l*l*l**(-1\/3))\/l) assuming l is positive.\nAnswer: l**(221\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 160 is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10062225?\nAnswer: 3, 5, 4969","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 2953, 2950, 2947?\n\"Answer: -3*m + 2956","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 46601 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.101 - -4.201. Let a = -4.10000084 + f. What is a rounded to 7 dps?\nAnswer: -0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-76*w + 76*w + 25*w**3)*(58 - 4 + 18*w**2 - 54).\nAnswer: 450*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 196 + 0.13?\nAnswer: 196.13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -2*3\/18*21. Let u = -4 - d. Let b(x) = -2*x**2 - 2*x**3 - u*x**3 + 3 + 5*x + 4*x**3. What is b(-3)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4656 times -0.5\nAnswer: -2328","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.46 + 0.497. Round d to 2 decimal places.\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1215715 - 1215713. Factor -2\/15*k**b - 34\/5 - 104\/15*k.\nAnswer: -2*(k + 1)*(k + 51)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - 2*b + 2 = 4*q, 5*q = 2*b + 18. Let o be (4\/(-6))\/((-42)\/18). Determine c, given that 0 - o*c + 2\/7*c**q = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from moybnkk. What is prob of sequence omb?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1059562*k**4 + 1036144*k wrt k.\nAnswer: -12714744*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -21*p**2 - 50*p**2 + 28*p**2 + (-p - 3*p + 5*p)*(-10 - 2*p + 10) - p**2 - p**2 + 3*p**2.\nAnswer: -44*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4310808 is divided by 6168.\nAnswer: 5544","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9 (base 10) to base 5.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -123 - -133. Let k(c) = 1 + 6*c**2 - 7*c + 9 + l - 22 + 28*c**3. What is the hundreds digit of k(2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of -5 - -10 - (-11026 + -18)?\nAnswer: 3, 29, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2278739063 to the power of 1\/9, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -39673 or -39672?\nAnswer: -39672","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 41107 - 41108.6787. What is g rounded to two dps?\nAnswer: -1.68","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 80*i + 87. What is v(-1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 540 divide 49700289?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8296.1687 + 232564.\nAnswer: 224267.8313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -22 - -9. Let f = 17 + b. Solve 2 + f = 2*w for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 8.6 - 9. Let l = 98 + -97. Which is the closest to 7? (a) l (b) 2 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j = 5*h - 70, -4*h - 79*j + 383 + 396 = 320 for h.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 106, 112, 120, 130, 142, 156, 172?\n\"Answer: i**2 + 3*i + 102","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zer when three letters picked without replacement from zozzezrzbszseeee.\nAnswer: 1\/112","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -22 - -22.2. Which is the nearest to w? (a) -0.4 (b) 0 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -660.3521 and 4?\nAnswer: 664.3521","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -41*s = 3*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 143? (a) 5 (b) 0 (c) 0.4 (d) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 20 = -3*w, -2 = w - 3*r + 7*r. Let y be (-28)\/w*(-9)\/(-6). Is 12 > y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2\/13, 1\/6, -1.1?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -31116252 divided by 12.\nAnswer: -2593021","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find r, given that r**5\/3 + r**4 - 5*r**3\/3 - r**2 + 4*r\/3 = 0.\nAnswer: -4, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/5, -3, 6, 2.446, 3 in ascending order.\nAnswer: -3, 3\/5, 2.446, 3, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 2826 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of n - 1194*n**2 + 556*n**2 - n + 399*n**6 + 567*n**2 wrt n?\nAnswer: 47880*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -46567116.3395024 - -46567078. Let b = v - -1.3395944. Let c = -37 - b. What is c rounded to 5 decimal places?\nAnswer: -0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -180 divided by -41?\nAnswer: 180\/41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 74 a factor of 2133?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 + 12 - (-12 + -31 + 21)?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.8596 kilograms to nanograms.\nAnswer: 2859600000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3891436 is divided by 1109?\nAnswer: 1064","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 24 and 324.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m = -25, 5 = 4*r + 2*m - 1. Suppose 0 = -5*a - 3*w + 26, r*a + a - w = 18. What is the biggest value in a, 1\/3, 2?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = t + 1. Let q be u(-4). Let y(g) = -5*g**2 + 8*g - 3. Let j(v) = 2*v**2 - 3*v + 1. Let x(c) = q*y(c) - 8*j(c). What is x(-3)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1773007001 take away -16433?\nAnswer: 1773023434","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 164 divide 67666123?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 12) to base 10.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -2*l**3 + 5*l**2 - 3*l + 1. Let d(f) = -f**2 + 9*f + 3. Let s be d(9). What is c(s)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 89, -207, 345, 5, 2 in decreasing order.\nAnswer: 345, 89, 5, 2, -207","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 18*i**2. Let s(n) = -8985*n - 2. What is s(v(w))?\nAnswer: -161730*w**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g = -2*t + 35, 7*t + 60 = 5*g + 4*t. What is the smallest common multiple of g and 66?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 287695 and 428895?\nAnswer: 1765","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1.62 + -4.72. Let j = -53.024 - -2.264. Let g = d + j. What is g rounded to 0 decimal places?\nAnswer: -57","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 237 minutes after 1:36 PM?\nAnswer: 5:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -n**2 - 7*n + 9. Let t be d(-8). Let l(r) = 31*r - 1. What is the remainder when l(t) is divided by ((-12)\/(-8))\/(6\/32)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, 5, -7, 46, -8, 0 in decreasing order.\nAnswer: 46, 5, 0, -6, -7, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-21 - (-4 + -6 + 4 - 6)) + -21.\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pppyyyyyyyppp. What is prob of picking 2 p?\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 342 + -13?\nAnswer: 326","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -365 - -800. Let n = z + -412. Is n greater than or equal to -0.08?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/(-8))\/1 - (31 + -35 + 6)\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -12115\/3 + 4037. What is the fourth smallest value in 32, -4, g, -2\/3?\nAnswer: 32","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 3*w**2 + 1890*w - 893025. Let p(o) = 26*o**2 + 15120*o - 7144200. Let z(g) = 17*a(g) - 2*p(g). Factor z(b).\nAnswer: -(b - 945)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 138 divide 159114?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -12 - -7. Let m be 58*38\/40 + -3. Let z = m - 52. Sort z, c, 2 in ascending order.\nAnswer: c, z, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -246041 (base 7) in base 5?\nAnswer: -2422210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (5 - 5\/((-10)\/164)) + 2. Solve 2*d = -x + 83 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 + -4 + -4 + (38 - (46 - 19))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nx when two letters picked without replacement from {y: 3, x: 4, p: 1, n: 1, i: 4, u: 2}?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**(2\/9)\/z**3*(z\/z**1)\/((z**(-7)*z)\/z*z) assuming z is positive.\nAnswer: z**(29\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/41 in 15.6, -8, -2\/5, 1?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wwbbxxbxbwkaxwwxbwk. Give prob of sequence ab.\nAnswer: 5\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 245468042 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: In base 11, what is -50a + -1?\nAnswer: -510","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j**5 - 45*j**4 + 204*j**3 - 252*j**2 = 0. What is j?\nAnswer: 0, 2, 6, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h - 14 = -4*v, -357*v + 19 = -3*h - 352*v for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 114*c + 48 = 118*c. Suppose 3*x = -3*x + c. Calculate the least common multiple of (-6)\/x + (-2 - -41) and 2.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 5, g: 7}. Give prob of picking 1 x and 1 g.\nAnswer: 35\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 15) in base 11?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Do 2\/3 and 2601 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -46913 + 12043 + 12061 + 2*r + 0*r + 22809.\nAnswer: 2*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-18)\/(-4)*1880\/(-1692).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 63 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*l**2\/11 - 50*l\/11 + 92\/11.\nAnswer: 2*(l - 23)*(l - 2)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 21149 to the power of 1\/2, to the nearest integer?\nAnswer: 145","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 35 is divided by 66\/(-22)*(-2 + 1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 159e3 (base 15) in base 11?\nAnswer: 48439","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 966351.6 millimeters to micrometers.\nAnswer: 966351600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z**(-4)*z)\/z*z\/(z\/z**(-1\/7)*z))**(-2\/3))**(-2\/33) assuming z is positive.\nAnswer: z**(-16\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2569 is divided by 730.\nAnswer: 379","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -1\/5 (b) 0.4 (c) -0.03 (d) -0.3 (e) -25 (f) -1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.10811 rounded to one dp?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 6 + -12 + 3 + (-6 - -9)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/4 of a minute in seconds?\nAnswer: 255","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*p - 4*p = 33. Let a be 20*(56\/(-20) - p). Solve a*s = 5*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 118 divide 128174432?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l - 13*r - 9 = -15*r, -2*r = -2*l - 6 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3769044 is divided by 143.\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1028?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 2342 a factor of 1298271507?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4\/5, 1, 134.3 in increasing order.\nAnswer: 4\/5, 1, 134.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 2*o**3 + 9*o**2 - 5*o. Let r(y) = -4*y**3 - 17*y**2 + 9*y. Let u = 133 - 144. Determine u*d(k) - 6*r(k).\nAnswer: 2*k**3 + 3*k**2 + k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -1 + (-1*60)\/(-4). Suppose d - 8 - n = 0. Let g = -56 - -64. What is the remainder when d is divided by g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -c**3 - 6*c**2 + 3*c - 5. Let y be v(-7). Suppose -y = -4*k + 9. What is the least common multiple of k and 7?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 385198.\nAnswer: 2, 11, 17509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) be the second derivative of -m**4\/12 + 7*m**3\/6 - 7*m**2\/2 + 11*m. Let j be q(6). What is the second biggest value in 0, j, 2\/9?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (103360\/70)\/(28\/98) a multiple of 136?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:37 PM and 7:32 AM?\nAnswer: 535","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -17690, -17689, -17688?\nAnswer: -17687","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2749, 2823, 2867, 2869, 2817, 2699, 2503?\nAnswer: 2217","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 54044?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 11342262 and 48.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9793*f - 32088*f + 31179*f - 38438*f - 44063*f.\nAnswer: -93203*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 e and 1 d when four letters picked without replacement from eebefdefm.\nAnswer: 2\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jjni when four letters picked without replacement from pijjnepn?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (72\/(-99))\/(30\/(-33))?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 2*g - 4 + g**2 - 2 - 1. What is the smallest common multiple of c(-5) and (-30)\/(-4)*(-52)\/(-65)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 48\/(-12 + 0) - -5?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/(-38))\/(14052\/(-4684))?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by 106?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 561506455?\nAnswer: 5, 112301291","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cjhllhlhhc. Give prob of picking 1 j, 1 l, and 2 h.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4016?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 23*z + 21*z - 440. Let i = -125 - -376\/3. Which is the third biggest value? (a) z (b) -0.5 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 98*b**2*d*l*w + b**2*d*w - 2*b**2*l - 2*b**2*w - b*w - 9*d*l*w + 2*l*w + 17*w wrt d.\nAnswer: 98*b**2*l*w + b**2*w - 9*l*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 5, -285, -5, 1763?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 4*r - 20. Let g be z(6). Suppose x + 5*b - 136 = 13, -4*b = g*x - 564. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -256941, -513875, -770807, -1027737, -1284665, -1541591?\nAnswer: -1798515","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) be the second derivative of j**5\/20 - j**4\/3 - 2*j**3\/3 + 2*j**2 + 5*j. Let d be n(4). Let v = d - -22. What is the tens digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -55*i. Let l(n) = 24*n. Calculate l(x(c)).\nAnswer: -1320*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*i**5 + 0*i**5 + i**5 + (89*i**2 - 135*i**2 + 112*i**2)*(-3*i**3 - i**3 + 3*i**3).\nAnswer: -69*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1616?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand 12*p**4 + 30*p**4 + 50*p**4 + (7*p**2 - 2*p**2 + 0*p**2)*(-p**2 - p**2 + p**2).\nAnswer: 87*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00005936 to 5 decimal places.\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1183249?\nAnswer: 811, 1459","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.4, -8, 18, -2\/5, 0 in descending order.\nAnswer: 18, 0.4, 0, -2\/5, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 37634 and 1798.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 g when four letters picked without replacement from mggggggmg?\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/(o\/(o*o*o**(-5)))*o)**45 assuming o is positive.\nAnswer: o**(-90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1074072 divided by 4.\nAnswer: -268518","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 0 - 10*b + 18*b**3 + 2*b**2 - 125*b**3 + 8. Let j be q(-8). Round j to the nearest ten thousand.\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/3? (a) 2 (b) 2\/9 (c) -2\/31\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 2 s when three letters picked without replacement from asasaaaaa.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 2 t when three letters picked without replacement from {w: 3, a: 5, t: 5}.\nAnswer: 25\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 320 from 609.\nAnswer: 289","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 879907 and 56?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(45)*-1*-6)\/(3*sqrt(36) - sqrt(36))*4.\nAnswer: 6*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18 = 11*q + 44 + 139 for q.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 16 and 32?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 (base 13) in base 10?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a = -a - 7. Let u(i) = a + 1 - 6 + i. Suppose -49*k = -79 - 68. Give u(k).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*sqrt(1539)*-2 + 2.\nAnswer: -90*sqrt(19) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find r such that r**4\/4 + r**3\/4 - 57*r**2\/4 + 135*r\/4 = 0.\nAnswer: -9, 0, 3, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1\/(-4) - 18\/96*356. Let b = i + 80. Calculate the remainder when 51 is divided by b.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -w**3 - 12*w**2 - 14*w + 22. Let i be g(-11). Calculate the smallest common multiple of (1 - 1233\/(-5)) + 22\/i and 14.\nAnswer: 1736","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -15*g + 6. Let b be 186\/279*(-18)\/(-4). Calculate t(b).\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 4*b**3 + 2*b**2 + 3*b - 5. Let d be n(2). Suppose -7*t = d + 50. Let u = t - -16. What is the second biggest value in 3\/4, -5, u?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 141*y - 3318 = 2745 for y.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2285 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -4. Let a(o) = o - 1. Let x(d) = -2*a(d) + f(d). Let m be x(-5). Solve 3*b + m = -5*k, -k = -5*b - 8 + 32 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2402371399 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2868075 is divided by 30190.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + 6*(2 + sqrt(175) + sqrt(7) - 4*sqrt(28))*-1)**2.\nAnswer: -288*sqrt(7) + 1152","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3050 = -90*m + 92*m. Let z = -1520 - m. Suppose -4*f + 66 = -3*g, -7*f = -3*f + 2*g - 56. Calculate the highest common divisor of f and z.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 126*f**2 + 393*f + 44. Determine g(-3).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1793340 a multiple of 90?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 3\/2 (b) -13 (c) 1 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 9, e: 9}. Give prob of picking 2 e.\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 62677 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: ((-145)\/(-261))\/(35\/6)\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26 = o - 5*w, 7*o - 3*o - 148 = -2*w. Calculate the least common multiple of o and 120.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 10\/3 of a minute?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 972?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) be the first derivative of -5*n**4\/24 + 5*n**2 + n - 4. Let v(a) be the first derivative of q(a). Factor v(c).\nAnswer: -5*(c - 2)*(c + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -77546 divided by -38773.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 92842575.\nAnswer: 3, 5, 7, 89, 1987","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x, 1 u, 1 w, and 1 h when four letters picked without replacement from {u: 1, w: 1, h: 8, r: 4, x: 2}.\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-55)\/48 + (-249)\/1328)\/((-14)\/6)?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*p + 56 = -6*p. Let v(y) = -p*y + 14*y**2 + 62*y**3 - 61*y**3 + 1 + 0. Is v(-10) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (30\/2)\/((-215)\/(-86))\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 1440563, 1440562, 1440561, 1440560, 1440559?\n\"Answer: -i + 1440564","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (-475)\/(-155) - -7*16\/(-1736)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 48 bigger than 74?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 - 1)*(-1 + 1 - y)*(-33*y - 4*y - y + (2*y - 5*y + y)*(6 - 5 + 1))*(4*y - 3*y + 0*y)*(4 - 2 - 3).\nAnswer: 42*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 2*((-185)\/(-333))\/(4\/36)\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 1 y when two letters picked without replacement from {y: 1, l: 1, d: 1, j: 1, k: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -564, -636, -760, -936, -1164, -1444, -1776?\n\"Answer: -26*y**2 + 6*y - 544","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 603284, 603267, 603250?\nAnswer: 603233","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1392)\/(-522))\/((-20)\/(-2)).\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -13*m**2*n*z + 60*m**2*z**2 - 2*m*z + n*z + 696*z**2 wrt m.\nAnswer: -26*n*z + 120*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -35 * -34537.4.\nAnswer: 1208809","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*v - 2*v - 8 + 8 + 2*v**3 as p*v**3 + c*v**2 + f*v + l and give f.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Determine h so that -6*h**5 + 56*h**4 - 176*h**3 + 180*h**2 + 54*h - 108 = 0.\nAnswer: -2\/3, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v = 4*q + 12, -3*q - 15 = 2*q + 4*v. Let o = -113 - -113.3. What is the second biggest value in 2\/7, o, q?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -270 - -0.918736\nAnswer: -269.081264","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1974266057 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1166*g**3 - 2*g**2 - 1250*g.\nAnswer: 6996*g - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -822*d + 827*d = 3*h - 2673, 0 = -4*h + 5*d + 3564. Calculate the greatest common factor of h and 972.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 61 - 40. What is the third derivative of b*v**2 + 9*v**5 + 3*v**5 + 14*v**2 - v**2 wrt v?\nAnswer: 720*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2586971 and 8579?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 62*s - 175. What is the tens digit of i(8)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1 + 3. Suppose 2 = k*a - a. Suppose 4*f - 495 = -a*l + 547, -2*f - 5*l + 501 = 0. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(3\/8))**(-46) assuming y is positive.\nAnswer: y**(-69\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:26 AM and 2:22 PM?\nAnswer: 296","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 296, 843, 1688, 2831, 4272, 6011, 8048?\nAnswer: 10383","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 117 = 9*f - 0*f. Let s(r) = 2*r - 23. Let h be s(f). Sort -3, 9, h in decreasing order.\nAnswer: 9, h, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -9 + -2 - (-1 + -2). Let v(a) = -a**2 - 7*a + 10. Let z be v(h). Find the third derivative of -3 + 3*u**z + 3 - 3*u**3 wrt u.\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(55)\/(sqrt(11)*-4))**2 - (6*sqrt(5)*-4)**2 - (((sqrt(180) + -2)*-5)**2 - (sqrt(180) + -1)*-6).\nAnswer: -119579\/16 + 564*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 81? (a) -5.5 (b) -13\/3 (c) -18 (d) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00002737982 rounded to five decimal places?\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -301 + 306. What is the fourth biggest value in -0.4, -10, m, -5?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 0.1, -33, 4, -1679, 3\/4 in decreasing order.\nAnswer: 5, 4, 3\/4, 0.1, -33, -1679","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-3)\/5*(-10)\/1. Let r = o + -6. Suppose r = 4*g + g - 35. Solve 2*x = 6*h - 3*h - 11, -2*x + g = 3*h for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-5100)\/(-250))\/((24\/10)\/2).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*c**5\/7 + 12*c**4\/7 - 8*c**3\/7 - 48*c**2\/7 - 32*c\/7 = 0. What is c?\nAnswer: -2, -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*b = -4*o + 5, 8*b + 11 = 4*b + o for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) be the second derivative of c**4\/12 - c**3\/6 - 17*c**2\/2 + 1188*c. Give j(0).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 542 by 2.\nAnswer: 271","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (2 - (-10323)\/(-5160))*1426236\/171. Let o = -96\/817 + v. What is the common denominator of o and (-4 + 7)*(-98)\/198?\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -6 + 4. Suppose -2*c - 10 = -3*i, 3*c - i + 2 = c. Is (-575)\/10*c*f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of k**2*n*o - 592*k**2*o**3 + 7*k**2*o + 5*k**2 + k*n*o**2 + k*n*o wrt o?\nAnswer: -3552*k**2*o + 2*k*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3696 and 1841952?\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1247008 is divided by 1435.\nAnswer: 1428","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -29 + 32. Solve 3 = -2*l - c for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2 + 0 - 4)*(-s + 3 - 3) + 2 + 2*s - 2)*(8340*s - 13484*s + 8833*s).\nAnswer: 14756*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of k**2*w**3 + 2*k**2*w - 105*k**2 - 6*k*w**2 - k*w + 13*w**3 wrt w?\nAnswer: 6*k**2*w - 12*k + 78*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -118 - -109. Let m(h) = -22*h - 37. Is m(x) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.00068 and -0.18.\nAnswer: -0.18068","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(-2\/33)\/(f\/f**(-22)) assuming f is positive.\nAnswer: f**(-761\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*a + 4*a - 2*a**4 + (-5*a + 3*a + 3*a)*(-3*a**3 + a**3 + 4*a**3) - a - a**4 + a - 22*a**4 + 10*a**4 - 17*a**4.\nAnswer: -30*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 24152, 24153, 24154, 24155, 24156?\n\"Answer: d + 24151","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (6\/(-4))\/((-12)\/(-8)). Let n = -5.3 - -36.3. Let o = -32 + n. Which is the nearest to o? (a) -2\/5 (b) v (c) 3\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) be the third derivative of -4181*v**6\/120 - 1397*v**4\/8 + 2*v**2 - 206*v. Find the second derivative of j(h) wrt h.\nAnswer: -25086*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0 (b) 5\/4 (c) -2\/249\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 = -9*h + 2*h. Which is the second smallest value? (a) -5 (b) h (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*y - 38 = 58. Let h(b) = 7*b + 10*b + y*b - 4 + 25. Is h(8) a multiple of 57?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 154127274?\nAnswer: 2, 3, 7, 37, 99181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*o - 19 - 87 + 31 - 51.\nAnswer: 16*o - 126","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 63299 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) be the first derivative of -d**9\/1512 - d**8\/210 - d**7\/70 - d**6\/45 - d**5\/60 + d**3 + 1. Let w(m) be the third derivative of b(m). Factor w(y).\nAnswer: -2*y*(y + 1)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -5 (b) 2 (c) -2 (d) 322\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 4\/685 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -60, -87, -86, -51, 24, 145, 318?\nAnswer: 549","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 20719 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 1 z when two letters picked without replacement from izvyyvy?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3442600?\nAnswer: 2, 5, 7, 2459","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 814?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide -125039 by -6.\nAnswer: 125039\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1902322 + 466442 = 162*z. Is 135 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 20 (b) 0.5 (c) -2 (d) -11116 (e) -3 (f) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43 = 4*l - 4065. Calculate the common denominator of 1\/(-2) - l\/390 and -107\/18.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -17 + 12. Suppose -7*s - 4 = -3*s. Let y = s + u. Put y, -3, -1 in descending order.\nAnswer: -1, -3, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 * -0.353\nAnswer: 1.765","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -3*k + 4*k + 11 - 2. Let s be v(-4). Suppose 2*b - f - 45 = -3*b, -s*b - 4*f = -20. What is the greatest common divisor of b and 40?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:06 AM and 3:54 PM?\nAnswer: 468","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -11829716*g - 2551448 wrt g?\nAnswer: -11829716","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 53*b + 208 - 49 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) be the third derivative of p**5\/60 - p**4\/3 + 3*p**3\/2 + p**2. Suppose -a + 11 - 2 = 0. Is x(a) a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = f**2 + 4*f + 5. Calculate w(-3).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12615294?\nAnswer: 2, 3, 2102549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2003 and 395005621.\nAnswer: 2003","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 76732*w + 1457877. Give l(-19).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 21, 0, -2, 861 in ascending order.\nAnswer: -2, 0, 21, 861","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 204526 and 98?\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2094? (a) 0.1 (b) -1\/5 (c) 1\/16 (d) 5 (e) 2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.5 (b) -2\/13 (c) -0.7 (d) 17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 0*x + 17 = x, -l - 3*x + 11 = 0. Suppose 5 = d - 8. Let y = d + 7. Calculate the highest common divisor of l and y.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eekekdfeefdefke. What is prob of picking 2 e and 2 k?\nAnswer: 3\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -4.185819 to one decimal place.\nAnswer: -4.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 12 = f. Suppose 1 = 4*x - 0*r - 5*r, -4*x = r - 19. Let b = 0 - 0. Solve b = 3*q - x*i - f, 4*i = -q + 3*i - 1 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 2*t**2 + 2)*(3*t - 1 - 4*t - t) to y*t + p*t**2 + u + b*t**3 and give b.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 6158488 and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/n**21*n**(-2\/73))\/((n*n**5*n)\/n)**47 assuming n is positive.\nAnswer: n**(-22048\/73)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 198007 is divided by 2750?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -614 + 875. Suppose -4*i = -7*i + n. Calculate the highest common divisor of 29 and i.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is l in -116*l**3\/3 - 3264811*l**2\/3 + 253310*l\/3 + 140725\/3 = 0?\nAnswer: -28145, -5\/29, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + 4 = 16. Suppose x*q - 28 = 4*l + 24, 0 = 3*q - l - 45. Is q even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g = 7*g - 172. What is the tens digit of g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 842*n*x**3 - 2*n*x**2 + 55*n + 4*x + 3 wrt x.\nAnswer: 5052*n*x - 4*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -92398\/15 or 1\/4?\nAnswer: -92398\/15","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-176)\/22*2\/4.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 5, y: 6, e: 2, h: 1, l: 2}. Give prob of sequence tyl.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v, 1 a, and 1 l when three letters picked without replacement from {m: 3, v: 7, t: 1, a: 1, l: 2}.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/((108\/6)\/(-9)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z - 5*x + 1000 = 0, -3*z - 5*x = -9*x - 607. Suppose -210*j = -z*j - 648. What is the remainder when j is divided by 30?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4510036576 to the power of 1\/8, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -26\/8723673 and 35\/830826?\nAnswer: 17447346","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 473943030?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -4385, -4385, -4383, -4379, -4373?\n\"Answer: a**2 - 3*a - 4383","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 5\/6, -8, -4\/9?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24703*a - 5*j + 41 = 24706*a, 2*j = 4*a + 6 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2)\/(-14) - 118\/(-7). Calculate the highest common factor of p and 153.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 93759511 a multiple of 109?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7.5*0.13.\nAnswer: -0.975","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-6)\/((-7)\/(21\/9)). Solve -3*n = 4*l + 7 + s, -4*n - 12 = -4*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3 - -2. What is the units digit of z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-316)\/79*((-9)\/(-2))\/3?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 3*v**3 + 31*v**2 + 5*v - 36. Let q be c(-10). Solve -5*r = 25, -m + 22 = -18*r + q*r for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -577*r**2 - 3476*r - 26. What is i(-6)?\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2)\/(-1) + (-213 - -21). Is -2 bigger than m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 51, 4\/5, 1, 0.19, -3.\nAnswer: -3, 0.19, 4\/5, 1, 51","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -650040 divided by 162510.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find p, given that p**5\/2 + 53*p**4\/2 + 337*p**3 - 391*p**2 - 675*p\/2 + 729\/2 = 0.\nAnswer: -27, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.08 and -12.\nAnswer: 0.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 21, -2\/5, -21, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*((sqrt(8))**2*-3 + 5*(sqrt(2) + -2))*5.\nAnswer: -680 + 100*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 407621 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -3075474 rounded to the nearest one thousand?\nAnswer: -3075000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -12 - 5 + 17 - 2*x. Let i(q) = 10*q**2 + 5*q. Let v(a) = 21*a**2 + 9*a. Let d(b) = 9*i(b) - 5*v(b). Calculate d(h(r)).\nAnswer: -60*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 434*d - 5876 = -1536 for d.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Add 0 and 0.0435244867.\nAnswer: 0.0435244867","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3\/8 - -79\/168. Let d = -261\/28 - -35\/4. Which is the nearest to -1? (a) 0.1 (b) d (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*a + 3*q = -19*a + 9, 0 = 2*a + 3*q - 9. Suppose f + 11 = n, -5*n = 4*f - 46 - a. What is the remainder when 78 is divided by n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -410*w**3 + 3*w**2 - 3*w**2.\nAnswer: -410*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 38*w + 95 + 171 for w.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (-2520)\/(-540)*6\/(-8)*24\/7\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37*a + 249 = -5*y, y + 2*a - 60 = -44. Find z such that 48\/13 + 2\/13*z**y + 28\/13*z = 0.\nAnswer: -12, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 119*w**2 - 5*w - 229. Let x be q(11). Calculate the highest common factor of x and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 268, 80, -232, -668, -1228?\nAnswer: -1912","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -k**5 + 3647*k**4 + 2*k**3 + 141926*k**2?\nAnswer: -60*k**2 + 87528*k + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 107\/177768 and -113\/478986.\nAnswer: 17243496","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 36*(-20)\/60*2*(-1)\/20\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*v**4 - 550173*v**3 - 33632442270*v**2 - 685339486583100*v - 685305854691000.\nAnswer: -3*(v + 1)*(v + 61130)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -7*x + 21. Let y be j(9). Let k be 12\/y + (-26)\/(-42). Is k bigger than -0.4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 5, w: 3}. What is prob of picking 2 w?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -i**3*j**3 - 19*i**3*j + 2*i**2*j**3 - 5708*i**2*j wrt i.\nAnswer: -6*j**3 - 114*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -389.2 - -387. Which is bigger: m or -10?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 15 - (-1 - -2*1). Let k = -1167 - -1131. Let q = c - k. Is q a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-191 + 378 - 4*k - 189)*(-3*k**2 + 0*k**2 + 2*k**2) + 0*k**3 + 2*k**3 + 0*k**3.\nAnswer: 6*k**3 + 2*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 take away -40?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -68\/30535 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-220)\/33*1*3. Let r = 23 + i. Sort 0, r, 1.\nAnswer: 0, 1, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 3 - 360?\nAnswer: -35c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (-13 - (-532)\/42)\/1\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22 = -9*z - 40 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 4*a - 4. Let p(x) = x**2 - 5*x - 4. Let n be p(6). Solve 0 = 5*o, a*b = -n*o - 2*o + 4 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -868*w + 848*w + 40. Solve w = 21*u - 40 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.57435 * 0.2\nAnswer: -0.11487","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-126)\/14*(-22)\/198?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f + 13 = 26*u - 25*u, 0 = 2*u + 6*f + 16 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.03? (a) 0 (b) 1 (c) -3.6 (d) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-6)\/14)\/((-2)\/90). Suppose 2*i - 62 + 24 = 0. Let p = i - u. Do 1 and p have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 8*b + 0 + 0 + (3 - 3 + 2)*(b + 2*b - 5*b) - 1 + 2*b + 1 + 2*b - b + 0*b + b - 2*b + 0*b.\nAnswer: 6*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1496\/(-336))\/(1485\/(-945))?\nAnswer: 17\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2077*p**3 + 1751*p**3 - p**2 - 3095*p**3 - 8*p.\nAnswer: -3421*p**3 - p**2 - 8*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -188*d - 36*d - 68*d to the form q*d + h and give q.\nAnswer: -292","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14872*p - 35 = -v - 14875*p, 4*p = 3*v + 12. Let l be 2\/(-5) - 44\/(-10). Solve v*h = l*h - 8 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2 - -4)\/(-2) - (-10)\/2. Let c be (-16)\/(-12)*(-12)\/x. Calculate the lowest common multiple of c + 7 - 6 - -17 and 4.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -2*z + 20. Let u be t(8). Solve 4*s - 18 + 2 = 0, -u*h + s + 8 = 0 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -253\/620 + 1\/124. Let w = 25.3 - 49.3. Sort w, 4, 0.1, o in increasing order.\nAnswer: w, o, 0.1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = -5*l, 0 = -2*g - 2*l + 4*l. Suppose -5*c + 73 = 23. Let v = g + c. Is v a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 501*h - 1001. What is q(2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 61*l - 25*l - 21*l**2 - 34*l + 24*l**2.\nAnswer: 3*l**2 + 2*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -u**3 + 15*u**2 - 26*u. Let x be z(13). Suppose 0 = -5*g - 4*c + 70, 14 = g - 6*c + c. Solve 2*v - 4 + g = x for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2 - -3. Let a = -0.36 - -0.06. Let y = -0.4 - a. Sort 1, y, g in ascending order.\nAnswer: y, 1, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-5)\/(-2)*200\/125. Which is the fourth biggest value? (a) k (b) -4 (c) -5\/2 (d) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -v**2 + 4*v + 7. Let h(y) = -y**3 - y + 5. Let p be h(0). Let s be l(p). Factor 2*d**s + 0*d**2 + 3 - 5 + 0.\nAnswer: 2*(d - 1)*(d + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1\/4 of a litre?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2 and 958222.\nAnswer: -1916444","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 240407.\nAnswer: 19, 12653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:43 AM and 10:38 AM?\nAnswer: 235","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3240 and 447768?\nAnswer: 648","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by -479304\nAnswer: -1\/159768","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(35)\/(2*sqrt(7)) - sqrt(5)) + (-2 + sqrt(320))**2 + (((sqrt(100)\/sqrt(4) - sqrt(25)) + sqrt(25))*3)\/((-1*sqrt(15))\/sqrt(3)).\nAnswer: -71*sqrt(5)\/2 + 324","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 255962?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1 - -14?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -37, 1, 1671 in decreasing order.\nAnswer: 1671, 1, -2, -37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 638\/110 - (-2)\/10. Solve -f*i = -3*i - 9 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1125 and 30.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 3*x**2 + 26*x + 4. Let s be l(-9). Suppose -s*o + 7*o = -258. What is the tens digit of o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.05 less than -100582?\nAnswer: -100582.05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 823.08 or -1044?\nAnswer: 823.08","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(4 + sqrt(27) + sqrt(27) + 1 + 1))**2.\nAnswer: 2592*sqrt(3) + 5184","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 49\/100 and 93\/580.\nAnswer: 2900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 4*d - 5. Calculate the remainder when 28 is divided by l(4).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine q, given that 5*q**3 + 73*q**2 - 30*q = 0.\nAnswer: -15, 0, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 17072 and 23227232.\nAnswer: 255499552","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.16 and 6138.\nAnswer: -982.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.25747 + 45.\nAnswer: 45.25747","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3.35 + 3.18. Which is smaller: -37 or a?\nAnswer: -37","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 3) to base 15\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 1525?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -101 + 118. Let k = -15 + p. Let l = -437\/6 - -73. What is the smallest value in -1, k, 0.2, l?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 3 - -6241?\nAnswer: 6244","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -77.542 + -0.8\nAnswer: -78.342","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 65 + -35. Let r = u + -18. What are the prime factors of (90\/r)\/((-2)\/(-4))?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3 + 3 - 2*q**2 + 0*q + 0*q + 6*q**2 - 3*q**2 + q**2 + 4*q**2 + (0*q - 3*q + 5*q)*(3*q + 2*q - 4*q) + 4 - 4 - q**2.\nAnswer: 7*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 85\/24 and 25\/1758.\nAnswer: 7032","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 3*z - 5. Let d be j(3). Solve y = 2*t + 7, 2*t + d*y = t + 19 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -542 + 548. Let g = 0 - 0.2. Let p = g - 0.8. Do p and l have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.1+58701632307\nAnswer: 58701632306.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2048, -2046, -2044, -2042, -2040?\nAnswer: -2038","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -43261 - -43248.783. Does 0 = u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 23650?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -3525441 + -114?\nAnswer: -3525555","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -6*i**3 + 67*i**2?\nAnswer: -36","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -1188 (base 11) to base 6\nAnswer: -11100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 0*p**2 + 9*p - 4*p**2 - 3 + 3*p**2. What are the prime factors of w(6)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -13*s**3 + 3*s**2 - 3. Suppose 0 = 10*i + 20 + 30. Let m(z) = -25*z**3 + 5*z**2 - 5. Calculate i*o(a) + 3*m(a).\nAnswer: -10*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c + 2*n = 3*c + 36, -2*c + n = -39. Suppose -9 = -4*i + c. Let y = i - -13. What is the remainder when y is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 divided by -482.\nAnswer: -9\/482","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 2 + -2 + 0 - -5 - -5\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 358 - 5441555.\nAnswer: -5441197","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -m + 5. Suppose 0 = 5*x - 31 + 6. Let c be 2\/(-5) - (-2)\/x. What is the units digit of j(c)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000001614 rounded to seven decimal places?\nAnswer: 0.0000016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 - 3 - -12 - (-3 - -4).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) be the third derivative of -13*i**5\/30 - 3*i**4\/4 + 21*i**2. What is the second derivative of p(v) wrt v?\nAnswer: -52","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bqdttdtbqtqqqtdtbtq. What is prob of sequence bq?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from csbs. What is prob of sequence sb?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 59094290?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5299222*g = -d - 5299218*g - 7, 5*d + 18 = 3*g for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1933 is divided by 960?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a**(-1\/3)*a)\/a)\/a)**(3\/28)\/(a**(-5)\/a**(-2\/3)) assuming a is positive.\nAnswer: a**(88\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 126973855 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 - -1539478865786.12\nAnswer: 1539478865785.92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 287 + 238. What is the greatest common divisor of 420 and f?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 3*c**3 - c**2 - 7*c + 2. Let s(l) = 5*l**3 - 2*l**2 - 13*l + 4. What is 6*s(x) - 11*t(x)?\nAnswer: -3*x**3 - x**2 - x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -225476, -905365, -2038512, -3624917?\n\"Answer: -226629*o**2 - 2*o + 1155","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*r - 4*r - 1 = 0 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 54 and 117.\nAnswer: 702","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 3 + 1 - 5 + 4*l + 0. What is y(2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -5*c**3 + 2*c**2 + 2*c - 3. Suppose 3*b - 2 = b. Let q(o) = -212*o + 1 + 212*o - 2*o**3 + 3*o**3. Let j be (-2)\/3*18\/(-4). Determine b*t(p) + j*q(p).\nAnswer: -2*p**3 + 2*p**2 + 2*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*f**2 - 140235*f - 181091650.\nAnswer: -5*(f + 1357)*(f + 26690)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 minutes before 7:53 AM?\nAnswer: 7:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -18*c + 16*c + 53*c**2 + 36*c**2 - 1. Is g(-2) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 9\/103 - 2401\/1545. Let g(i) = i**3 - 13*i**2 - 7*i + 13. Let k be g(11). Find the common denominator of (-16)\/(-20) + k\/(-105) and u.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -13 - -12.9. Let u be 6\/4*50\/(-15). Which is the nearest to -1\/2? (a) t (b) -6 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 270 and 38?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 556079749.\nAnswer: 107, 1063, 4889","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -141*k = -3*r - 150*k + 16131, -26904 = -5*r + 4*k. Does 28 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 180.5 times 14.3867\nAnswer: 2596.79935","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1024 - 120831\/118. Which is greater: 1 or w?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 23722113?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 2 + 34b?\nAnswer: 351","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v**(1\/19)*v**(4\/9))\/((v*v**9)\/(v*v\/(v\/(v\/((v*v**3*v)\/v)))*v*v)) assuming v is positive.\nAnswer: v**(-1454\/171)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w = 2*u + 11, 0 = -5*u - 2159*w + 2154*w - 35 for u.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 89309?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 15 + -15. Suppose 0 = -s*t + 5*t - 3120. Let d = t + -325. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - 2 - ((-10 - 2) + 3).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 4 (b) 1\/6 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000041475 rounded to six dps?\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -685420 + 0*g + 342742 + 342678 - 3*g - 3*g + 4*g.\nAnswer: -2*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 96651312.\nAnswer: 2, 3, 193, 10433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -2*l**2. Let y(r) = -r**3 - r**2 - 2. Let b be y(0). Let j be (-20)\/15*21\/b. Let n(a) = -a - j*a + 3*a - 27*a. Give g(n(s)).\nAnswer: -3042*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 93\/118 - 9\/236. Are 21 and r equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 2*v - 17. Let m(c) = -3*c + 18. Let s be ((-18)\/30)\/((-37)\/185). Determine s*m(b) + 4*p(b).\nAnswer: -b - 14","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = -3*s - 2*s - 35, -p - 3*s = -27. Let w be (-100)\/30*(-2)\/p. Sort 1, w, -2, -2\/7 in descending order.\nAnswer: 1, w, -2\/7, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -j**4\/6 - 1026*j**3 + 64811*j**2\/3 - 97790*j + 154425\/2 = 0. Calculate j.\nAnswer: -6177, 1, 5, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -8*s**2 - 25*s + 12. Let m be x(0). What is the highest common divisor of m and 13182?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 2*o - 122 = -5*x, 4*x = -3*o + 100. Suppose -26*v = -x*v - 64. Calculate the smallest common multiple of v and 3 + (1\/(-1))\/(-1).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2511?\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 1 + 1932*s - 494*s - 3.\nAnswer: 1438*s - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 - 12 = -3*n. Suppose 0 = 3*f + 2*f - 10. Suppose -5*g + f*g + 30 = 0. Calculate the least common multiple of n and g.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 149, -5 in ascending order.\nAnswer: -5, -2, 149","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 17981\/1542 + 3\/514. Let m = -11 + c. Sort -1\/13, m, 1\/4, 1 in descending order.\nAnswer: 1, m, 1\/4, -1\/13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h = 2*h - 656. Let f(c) = 63*c + 3. Let m be f(4). Let j = m - h. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 301536?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2 and 62038.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = 3*z + 16. Let x be (-1 - (2 + z))*79. Suppose -5*y + 209 - x = 0. What are the prime factors of y?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = 4 + 14. Let q(r) = -5*r**2 + 54*r + 664. What is the remainder when q(16) is divided by o?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) be the second derivative of 2*f**6\/15 + 4*f**5\/5 - 2*f**4\/3 - 8*f**3 + 18*f**2 - 14*f. Factor q(p).\nAnswer: 4*(p - 1)**2*(p + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 9681 - 9682. What is the closest to p in -0.1, 1\/22, -1, -1.5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -57188840*i**2 + 114377683*i**2 - 57188844*i**2.\nAnswer: -i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) be the first derivative of 3*z**2\/2 + 82. Let a(m) = -12*m. What is p(a(j))?\nAnswer: -36*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 466 - 5?\nAnswer: 461","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16.52258*2.\nAnswer: -33.04516","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1.29 + -1.2. Which is the nearest to p? (a) 1\/7 (b) 2 (c) 5\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or -8\/6363?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = g**3 - 16*g**2 - 4*g + 11. Let o be y(16). Let f = o - -41. Let n be ((-3)\/27*f)\/((-1)\/(-15)). What is the highest common factor of n and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 577262857?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ssccscssss. What is prob of sequence cs?\nAnswer: 7\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + ((-3 - 0) + 6 - 3)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.1 and 2560104652716.\nAnswer: 2560104652716.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 11*r**3 + 489*r**2 - 5*r + 3. Let p(j) = 13*j**3 + 485*j**2 - 6*j + 4. Calculate -6*o(z) + 5*p(z).\nAnswer: -z**3 - 509*z**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -99 - -102. Let z = -8 + 5. Let j = z - -3. What is the nearest to -1\/4 in 4, l, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*a**2 + 12*a + 2 - 10*a + 5*a**2 + (-16 - 3 + 44)*(2*a**2 + a**2 + 0*a**2) in the form q + i*a**2 + o*a and give i.\nAnswer: 77","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a - 2*a = 10. Sort 2, 4, a in decreasing order.\nAnswer: 4, 2, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*3*sqrt(72)*-2*6 + (sqrt(72) - (sqrt(72) + 1 + -2)) + 5 + 3)**2.\nAnswer: 11664*sqrt(2) + 839889","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -6*g**3 + g**2 - g - 1. Let d be q(-2). Suppose -3*c = -5*p - 271, 0 = -5*c + 4*p + 416 + d. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 6 = 2*w + w, 2*w - 18 = -3*z. Suppose -c = -2*t + 9, 3 = c + z. Put 13, 1, t, 4 in ascending order.\nAnswer: 1, t, 4, 13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 556 - 1617*k**3 + 556 - 1112 + 227*k**3.\nAnswer: -1390*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s = 342*l - 343*l + 58, -2*l + 5*s - 2 = 47 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 7546055*a**3 + a**2 - 58477243*a?\nAnswer: 45276330*a + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -4*f + 43. Let r(z) = -17*z + 2. Let u(o) be the first derivative of 4*o**2 - o + 2. Let b(d) = f*u(d) + 6*r(d). Differentiate b(p) wrt p.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 24327 is divided by 29.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 95, 96, 99, 104, 111, 120, 131?\n\"Answer: d**2 - 2*d + 96","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 176449062.\nAnswer: 2, 3, 3547, 8291","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 56.2427559 rounded to 1 dp?\nAnswer: 56.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5000*o**5 + 80600*o**4 + 4915382*o**3 - 5590712*o**2 + 617730*o - 18000 = 0.\nAnswer: -25, 3\/50, 1, 40","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -80 less than or equal to -126?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) be the first derivative of -f**5\/15 + f**4\/3 + 11*f**2 + f + 63. Let h(v) be the second derivative of g(v). Suppose h(s) = 0. Calculate s.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 2*d**2 + 6*d + 3. Let f = 9 + -4. Is o(f) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -17447.774 rounded to the nearest one hundred?\nAnswer: -17400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 17089 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = r**3 - 16*r**2 + 29*r + 3. Let o be m(14). Let a(y) = y**3 - 16*y**2 - 20*y + 67. Let g be a(o). Calculate the highest common divisor of 8 and g.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from muomueeqeeioeee. What is prob of sequence eq?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 1\/4, 388, -81?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 12290282 and 2.\nAnswer: 12290282","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 1 j when two letters picked without replacement from njnnnnnnj.\nAnswer: 7\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -7*a - 20. Let k(o) = 10*o. Give j(k(b)).\nAnswer: -70*b - 20","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 - 8 = y - 3*s, -2*y + s = 4. Let q(u) be the third derivative of y*u - 2*u**2 - 1\/6*u**4 - 2\/3*u**3 + 0. Give q(-3).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -10 - 1554?\nAnswer: -2004","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 10616 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c + 58 = 2*l - 92, 3*l - 3*c = 228. Suppose z = 3*z - l. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4254485932?\nAnswer: 2, 1063621483","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1733743, 3467488, 5201233, 6934978, 8668723, 10402468?\nAnswer: 12136213","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2792 + -2784. Calculate the remainder when 270 is divided by k.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 347730*j**2 - 1362888*j wrt j?\nAnswer: 695460","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 7 and 189.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + 4 + 9 + -12 + 8?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8 - 3 + 1)*(1 - 1 - 2*u**2).\nAnswer: 20*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3 + 2. Let j be 418\/(-968) - (-4)\/22. Sort -5, h, j in ascending order.\nAnswer: -5, h, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 30\/45 + 85\/3?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*i + i - 5*i)*(1 - 2 + 3) + 1011 + 102*i - 1011.\nAnswer: 98*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10262 = j + 4*w, -3*w = 5*j + 15225 - 66569. What are the prime factors of j?\nAnswer: 2, 5, 13, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) be the first derivative of n**7\/210 + n**6\/2 + 161*n**5\/10 - 529*n**4\/6 + 2*n**3\/3 + 31*n - 10. Let u(s) be the third derivative of p(s). Factor u(y).\nAnswer: 4*(y - 1)*(y + 23)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 692 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 5737 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*l**2 - 164216*l.\nAnswer: -2*l*(l + 82108)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 142 minutes after 3:09 PM?\nAnswer: 5:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1691*w - 1393*w + 3674*w.\nAnswer: 590*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 18*z**2 - 23*z**2 - 8*z**2 - 22*z**2. Let s(d) = -3*d. Determine m(s(k)).\nAnswer: -315*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 81287242.\nAnswer: 2, 40643621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = d**3 - 16*d**2 + 15*d + 3. Let p be j(15). Suppose t = 3*w + 1110003, -p*t + 4*t - 1480003 = 4*w. Round w to the nearest one hundred thousand.\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 4991 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 4187753849 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let 10*b**5 - 7735*b**4 - 42890*b**3 + 34965*b**2 + 70110*b = 0. What is b?\nAnswer: -6, -1, 0, 3\/2, 779","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1 - -2. Let m = -298 + 647. Suppose -f*d = -g + 90, -d = -4*g - 0*d + m. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 33650291 to the nearest integer?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -20389 - -6970. Let g = y + 13418.9900005. Let t = g + 0.01. Round t to seven dps.\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 11 + 6c?\nAnswer: 7d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 - 474556942?\nAnswer: -474556938","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23585107.\nAnswer: 7, 13, 259177","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 44494707 to the power of 1\/3, to the nearest integer?\nAnswer: 354","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 444 - 617. Let d = i - -176. Solve h = 2*v - 6, d*v = 2*v - h + 9 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 143587386 to the nearest integer?\nAnswer: 524","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (30*c - 92 + 92)*(-3 - 2 + 3).\nAnswer: -60*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(28)*1)**2*-5 + 6*-1*sqrt(28) + (sqrt(1008)*-2)**2.\nAnswer: 28*sqrt(7) + 3872","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = 5*r - 7*r. Solve 2*c = r*c + 9 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 60 + -20. Let k(u) = u**2 + u. Let s be k(-2). Suppose 78 = g + m, 3*g - 273 = -s*m - l. Calculate the remainder when g is divided by 26.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vvcwwwwcvw. Give prob of picking 2 c.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2\/87 - 4273\/435. Let c = -1694 + 3301\/2. Calculate the common denominator of k and c.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1698*r**5 + 575*r**2 wrt r?\nAnswer: 101880*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 5532135*c + 99578424. Give l(-18).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2221 is divided by 72?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) be the first derivative of -5*n**4\/4 - 40*n**3\/3 - 40*n**2 + 57. Factor c(h).\nAnswer: -5*h*(h + 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -30 - 9*p**3 + 14*p**3 + 4*p**3 + 7*p**3 wrt p.\nAnswer: 48*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + sqrt(605) - (sqrt(245) + -2) - ((sqrt(150)\/sqrt(5))\/sqrt(2))\/(sqrt(21)\/(sqrt(7)*-1)).\nAnswer: 3 + 5*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 9506353 less than 1306.47?\nAnswer: -9505046.53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 17264889?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -8*f**2 - 388*f + 313. What is the units digit of x(-38)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19467982\/1494 - 4\/(-18).\nAnswer: 83, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a kilometer in centimeters?\nAnswer: 10000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 705? (a) 5 (b) -0.1 (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 16*u**2 - 5522*u + 690.\nAnswer: 2*(u - 345)*(8*u - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -322 + 322.5. Sort o, -0.3, 3, -1.2 in increasing order.\nAnswer: -1.2, -0.3, o, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 884132 to the power of 1\/3, to the nearest integer?\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1.7 - 1.9. Let q be (-56)\/(-24)*3\/63. Let a = -13\/36 + q. What is the nearest to a in 5, -2, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = c**3 - 112*c**2 - 232*c + 489. Calculate p(114).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - 31 - (0 + -12) - (2 - 3)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i - 21 = -2*p + 3*p - 4*i - 18, -81 = -2*p - 25*i for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 314584.3 to the nearest one thousand.\nAnswer: 315000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 1530 = -14*f. Does 34 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5417.80662 rounded to the nearest integer?\nAnswer: 5418","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 4328499 a multiple of 651?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -322 + 2259\/7. Let f = q + -17\/14. Let b = -0.3 + 0.5. Which is greater: f or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:38 AM and 7:49 AM?\nAnswer: 71","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 18 and 246?\nAnswer: 738","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(171) - (sqrt(19) - (sqrt(171) + sqrt(171)*-1 + sqrt(171) - sqrt(19))**2))*-1*6.\nAnswer: -456 - 66*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 141*y**4 - 3 - 125*y**4 + 2*y**3 + 35*y**2 - 33*y**2 + 9*y to v + i*y**2 + z*y + q*y**4 + l*y**3 and give z.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -11.802 times -1?\nAnswer: 11.802","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (7 - -19) + 19 + -22 + 17 + 0?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 7 - 3)*(7 - 7 + m) + 2 - 34*m + 19*m + 22*m.\nAnswer: 10*m + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 297 - 296 - 2\/2. What is the third biggest value in -25, d, 5?\nAnswer: -25","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 160805?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*t - 2*f + 12, -f + 15 = t - 5*t. Let n(o) = 3*o + 13. Let i be n(t). Solve -i*d - 6 = -7*d for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6 + 374*q + 6 - 37*q.\nAnswer: 337*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 739960 - 739960. Determine n so that -4\/5*n**3 + 0 + q*n**2 + 0*n = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.4463 times 402?\nAnswer: 3395.4126","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2988*h**3 + 3697*h?\nAnswer: -17928*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 73668883 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-3032)\/(-379))\/(1\/(-2)*-1))\/(-1)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - 3 = 2*y, -5*d + 10 = 3*y - 3. Let p = 58 - d. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 2 - a71c7?\nAnswer: -a71c5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 2*n**2 - 59*n + 53. Give p(28).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 divided by 1564?\nAnswer: 1\/782","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) be the first derivative of u**2 + u + 22. Let n(t) = 3*t + 2. Let s be n(-2). Let f(l) = -3 + l + 5 + 3*l - 2*l. Give s*y(v) + 3*f(v).\nAnswer: -2*v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ldop when four letters picked without replacement from aholapdp.\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y = q + 14, -2*q + 6*q + 4*y + 32 = 0. Let n be 0\/2 + q\/(-120). Suppose 3*m = -5 + 2. Is m at most as big as n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w = 5*h, 25 = 5*h - 3*h + 3*w. What is the first derivative of -z + z - 6*z - h*z + 5 wrt z?\nAnswer: -11","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 2*q - 1. Let h(t) = -5*t. Let a(g) = -6*g. Let u(z) = 6*a(z) - 7*h(z). Let c(i) = 9*u(i) + 4*v(i). Give c(-7).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(-2 + sqrt(9)\/sqrt(3))*-2.\nAnswer: -16 + 8*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 134997*d**2*h**4 - d**2*h**2 + 1018*d**2 + 118 with respect to h.\nAnswer: 539988*d**2*h**3 - 2*d**2*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*b = -9574273*j + 9574277*j + 28, 3*b - 16 = 2*j for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -164 - -370. Suppose 5*a + x = 3381. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -31\/204 and -69\/10.\nAnswer: 1020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3016 + -21159\/7. What is the common denominator of 8\/7 and v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/(15*-3) + 66861\/(-2565)?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*h - 16*h = 72. Suppose 45 = 3*o - h. Suppose -7*z + 21 = -o. What is the smallest common multiple of 6 and z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 12658?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 77\/(4312\/16)*14\/8*-2*1\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(20)\/sqrt(4)*4 - -5*sqrt(45).\nAnswer: 19*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 31840.\nAnswer: 2, 5, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2677888?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 459 and 135?\nAnswer: 2295","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1\/23 + 28\/115. Let d(s) = -s + 5. Let k be d(5). Suppose -4*x - 5*h + 12 = 0, k = -x + 2*h - 0 + 3. What is the second smallest value in i, x, -5?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 4 + -91220?\nAnswer: -91218","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 281609757?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 128\/11, 0.5, -17\/11, 7.\nAnswer: -17\/11, 0.5, 7, 128\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -459, 21, 3, 54, -24 in decreasing order.\nAnswer: 54, 21, 3, -24, -459","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*b - 120 = 6*b for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*b - 1 - 1. Suppose u + 3*a = a + 9, -u + 2*a + b = 0. Suppose u*d - 35 = 15. Calculate the lowest common multiple of 10 and d.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -34*b - 369. Let k be t(-11). Solve 0*w + w + k = 2*d, -2*d + 11 = w for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) be the third derivative of -61*x**8\/84 - x**7\/105 - 65*x**5\/12 + x**4\/24 + 70*x**2 - 1. Find the third derivative of u(g) wrt g.\nAnswer: -14640*g**2 - 48*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -8933, -8909, -8861, -8783, -8669, -8513?\n\"Answer: p**3 + 6*p**2 - p - 8939","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.2, 1\/4915, -29, -0.5?\nAnswer: 1\/4915","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -49*w = -57*w + 16. Factor -4*v + v**w - 12 + 15 - 8.\nAnswer: (v - 5)*(v + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) be the first derivative of 1\/2*c**2 + 3 + 2*c - 1\/3*c**3. Let a be k(0). Solve 0 = -3*n + 2*w - 1, -n + 3*n = w - a for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 129990 is divided by 24757?\nAnswer: 6205","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(784) - (sqrt(784)*-1 + sqrt(784) + sqrt(784)))*2)\/(-5*-3*sqrt(112)*-1).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 3 + y**3 + 5*y + y**2 - 5*y + 0. Let x be s(0). Suppose x*p = 2*n + 64, 0 = -3*p - 5*n + 21 + 29. What is the tens digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*u = 7*u - 12. Suppose -16 = b + h + 2, u = -b + h. Let a = b - -20. What is the units digit of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4910 + 12550*y - 1635 - 3604*y - 1636 - 1639.\nAnswer: 8946*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 84\/105 + -3*(-147)\/5?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w = -4*r + 7 + 9, -4*r + 16 = 3*w. Let l(m) = -3*m + 1. Give l(r).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 108 - 110. What is the smallest value in 2\/7, t, -0.5?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -3*s**2. Let a(f) = f + f - 2*f - 5*f. Calculate q(a(j)).\nAnswer: -75*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/2? (a) -3 (b) 6.68 (c) -158.6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3686 to the nearest integer?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -2 + 0 + -3 + (-6 - -6)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -u**3 + u + 2. Suppose 5*j = -4 + 9, -5*t - 4*j - 1 = 0. Let f = -1 - t. Calculate d(f).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 96*k = 98*k - 6. Suppose 3*y = -15, k*y - 957 = -2*s + 4*y. What is the units digit of s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 728*r**2 + 13*r + 12. What is the tens digit of h(-1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2612, 5298, 8036, 10832, 13692?\nAnswer: 16622","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*t**2 + 3*t**2 - 2*t**2 + (-2 - 2*t + 2)*(2*t - 2 + 2) + (-2*t**2 - t**2 + 2*t**2)*(-642 + 335 + 323).\nAnswer: -19*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4910351?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) be the second derivative of -8\/3*z**3 - 100*z + 0*z**2 - 2. Let h(c) = -2*c**2. Calculate h(u(n)).\nAnswer: -512*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 343924.4798 rounded to the nearest 10?\nAnswer: 343920","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 169*o = 255*o + 229*o + 22365 for o.\nAnswer: -71","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or 91?\nAnswer: 91","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/169845 greater than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 101607?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 1306 (b) -3 (c) 0.1 (d) -3.6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 3, -20, 23, -5, -6, 4 in ascending order.\nAnswer: -20, -6, -5, -4, 3, 4, 23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 442070600 to the nearest integer?\nAnswer: 21025","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:38 AM and 5:14 AM?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25*i - 41 - 2*i - 66 + 135.\nAnswer: -27*i + 28","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = 3*w + 516009, -2*m + 2*w - 90898 = -1122904. Suppose m = -b + 4*b. What is b rounded to the nearest 10000?\nAnswer: 170000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -6*(15\/(-9))\/5. Let v = 17\/4 - 43\/12. Factor 4\/9 + 2\/9*j**x - v*j.\nAnswer: 2*(j - 2)*(j - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6784698 is divided by 211?\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -129*l**3 + 3*l**2 - 3*l - 17. Let s(b) = -2*b**3 - b**2 + b + 3. Let d(v) = -a(v) - 3*s(v). What is the derivative of d(p) wrt p?\nAnswer: 405*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 75080245.\nAnswer: 5, 17, 163, 5419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 566706960?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 213107\/18 + -11835. Let u be (-4)\/(645\/642 + -1). Find the common denominator of z and u\/(-128) + (-2)\/2.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*o**2 + 0*o**2 + 3*o**3 + (-o + 0*o - o)*(4*o + 0*o - 5*o)*(4*o - o + 5*o) as i*o + p + g*o**3 + a*o**2 and give g.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -65\/348 and 73\/928.\nAnswer: 2784","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) be the third derivative of -h**7\/945 - h**6\/15 - 13*h**5\/9 - 169*h**4\/27 + 2197*h**3\/9 - 161*h**2. Factor m(c).\nAnswer: -2*(c - 3)*(c + 13)**3\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -973251 or -973256?\nAnswer: -973256","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -811 + 3247\/4. What is the nearest to 7 in 0, -3\/7, 0.4, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -3*f**3 + 7*f**2 - 8*f + 7. Let c(q) = -3*q**3 + 6*q**2 - 7*q + 6. Calculate -7*c(g) + 6*r(g).\nAnswer: 3*g**3 + g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 81034?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -d + 6. Let i be w(2). Suppose 0*g - 44 = -g + 3*x, -i*g = x - 241. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 71 or -20?\nAnswer: 71","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 87385?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.419078 from -1.5.\nAnswer: -1.919078","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (275\/3740)\/((-30)\/(-16)).\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by 34?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b = 15, 0 = -4*k - b + 6*b - 45 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -327413, -327419, -327425, -327431, -327437?\n\"Answer: -6*w - 327407","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -19 + 51. Suppose 5*k = -33 - x. Let g = k + 13. Solve 2*o = -g*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = m**3 - 3*m**2 + 2. Let l(k) = 8*k - k**2 + 13 - 4 - 2*k. Let n be l(7). Determine d(n).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13 + -16 + (0 - -3).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) be the second derivative of -b**3\/3 - b**2 + 3*b. Let s be v(-4). Suppose -3*k = -0*k - s. Solve 2*c + k - 4 = 0 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when ((-56)\/(-6))\/(8\/12) is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1206.2 + -632.38.\nAnswer: 573.82","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 5 = 1. Suppose -f*v + 45 = 3*v. Calculate the remainder when 2 is divided by (-2)\/(-1)*9\/v.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -8*d**2 - 20*d - 7. Let k(j) = 9*j**2 + 21*j + 6. Let i(h) = -5*k(h) - 6*x(h). Let i(s) = 0. Calculate s.\nAnswer: -4, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 14305*d + 13975976. Calculate j(-977).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 387 and 360.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express -127*m + 15297 + 892*m - 15297 as t + f*m and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 5 and 1554832597058.693?\nAnswer: 1554832597053.693","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000012064 to 7 dps.\nAnswer: 0.0000121","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 221 + 10?\nAnswer: 1001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -r**3 - 6*r - 5. Calculate the smallest common multiple of 45 and x(-3).\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 661160525.\nAnswer: 5, 26446421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) be the third derivative of -i**6\/180 + 4*i**4\/9 - 2*i**2 - 146*i. What is o in u(o) = 0?\nAnswer: -4, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) be the first derivative of 5*g - 7\/3*g**3 - 16 - 7\/2*g**2. Let q(z) = -3*z**2 - 3*z + 2. Determine -2*h(r) + 5*q(r).\nAnswer: -r**2 - r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 35*x**2 - 12*x + 42. What is the thousands digit of y(11)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 14\/(-4)*24\/(-14). Let p be (0 + 1)\/((15\/x)\/5). Let r(q) = 201 - 201 - 8*q**p. Let j(m) = 3*m**2. Calculate r(j(o)).\nAnswer: -72*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 3\/8 (b) 13 (c) 16\/7 (d) -1\/6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3092, 12501, 28230, 50279?\nAnswer: 78648","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 648 (base 12) to base 5\nAnswer: 12140","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (0\/1)\/(731 + -682). What is u in -5\/2*u - 3\/4*u**2 + 3\/2*u**3 + x - 1\/4*u**4 = 0?\nAnswer: -1, 0, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve n + 7 = -2*k, -2*k = -6*n + 10*n + 10 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (5*r - 2*r - 2 + 1)*((0 - 6 + 4)*(3 + 1 - 6) - 1 + 2 - 3 - 3 + 3 - 1 + 4 - 3 + 1)*(-2*r + 4*r + 9*r) in the form o*r**2 + n + u*r and give u.\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -2\/9, 4\/3, 0, 1491, 1\/4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) be the first derivative of -m**6\/6 - 2*m**5\/5 + m**4\/4 + 2*m**3\/3 - 12. What is f in d(f) = 0?\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-2)\/3)\/((-2)\/15). Suppose -11*w = -a*w. Solve w = -4*z - 0*z - 20 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (-1 + sqrt(17) - sqrt(17)) + -4.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -83*z + 7*i = -88*z + 24, -5*i = 2*z - 14 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 41\/1785 and 125\/67998?\nAnswer: 5779830","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -39, -1\/6, -1, -0.12?\nAnswer: -0.12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 105.5 + 68. Let z = x + -174. What is the third biggest value in 1, 9, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (1120\/42)\/(-20)*315\/18 and 34\/511.\nAnswer: 1533","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 980?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1621\/4 - -396. Find the common denominator of r and -53\/6.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*c - 78 = -4*w + 46, 1787*w + 155*c - 2832 = 1790*w + 1657 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-21)\/375)\/(1456\/3080) + 4\/104?\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 z when three letters picked without replacement from {o: 2, z: 16}.\nAnswer: 35\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 47984248\/21 > 2284964?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x = 2*j - 12, -2901*j + 39 = -2898*j + 5*x for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -3*a - 184. Let p(h) = -h - 62. Let s(u) = 11*p(u) - 4*x(u). Is 2 a factor of s(-15)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 417336 and 32.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 48 = 2*r. Let x = r + -8. Let m(d) = d**3 - 12*d**2 + 11*d. Let t be m(11). Solve t = x*g + 4 + 4 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -2*f**2 - 38. Let o(k) be the second derivative of 25*k**4\/4 + 1491*k. Give o(i(p)).\nAnswer: 300*p**4 + 11400*p**2 + 108300","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c = 147 + 128. Suppose 0 = 3*l + 4*i - 41, -c = -5*l + l - 5*i. Is l a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 30 + -20. Suppose n + 1 = r. Does 9 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 2\/605 and 23\/1073510.\nAnswer: 129894710","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (16 - 108 - 46 - 4)*(-3*f + 4*f + f).\nAnswer: -284*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -3*m + 13. Let l be r(4). Let k be 0 + l - (-24 + 22). Let w(g) = 6*g + 5 + 0 - 3*g + k. Give w(-6).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-42)\/(-210))\/(18\/10). Sort t, -0.4, 0.5, 0.3 in decreasing order.\nAnswer: 0.5, 0.3, t, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*g - 1717 + 1837 = 0 for g.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -151\/234 and 41\/54.\nAnswer: 702","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 165*c - 166*c = -4*b - 65398, -261669 = -4*c + 5*b. List the prime factors of c.\nAnswer: 2, 32713","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.12 - 4.12. Which is the smallest value? (a) -0.5 (b) i (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(-12)*14*-11*24\/(-13860)?\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:14 AM and 4:18 AM?\nAnswer: 4","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 2286899 - 10?\nAnswer: 2286889","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -93\/7264 and -1\/29056.\nAnswer: 29056","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -283532062 divided by 12887821\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -248326 divided by -65?\nAnswer: 19102\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1, -1.38, 2\/9, -72\/5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 38658698?\nAnswer: 2, 13, 1486873","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1166 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4 - 2. Let m be 33\/90 - (92\/(-24) + 4). What is the closest to q in m, -0.3, -2?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) 1\/2 (b) 302 (c) -0.4 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (364\/(-178))\/(13*15\/(-195)). Is a > 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -138 = 18*c - 30 for c.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -93 + 93 - 147*t**3 - 27*t**2 + 1288*t - 1288*t. Let g(l) = 21*l**3 + 4*l**2. Calculate 27*g(h) + 4*q(h).\nAnswer: -21*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 take away 162267?\nAnswer: -162267.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*f*(f**6\/f)\/f*f*f**(-8)*f*f)\/(f**(-18)\/(f**22\/f)))**(-28) assuming f is positive.\nAnswer: f**(-1120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 440.4 + -448.3. Put -1, 1\/2, -8, 4, l in descending order.\nAnswer: 4, 1\/2, -1, l, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3369 * 3\nAnswer: -10107","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 8*m**4 + 36*m**3 + 12*m**2 - 16*m.\nAnswer: 4*m*(m + 1)*(m + 4)*(2*m - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4741, -4756, -4785, -4834, -4909, -5016, -5161, -5350?\nAnswer: -5589","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m - 4*w = -23, 4*w = m - 4*m + 17. Suppose -2 = -3*v + j, -m*v - 3*j - 2 = -2*j. Suppose v*b = -4*b + 360. Is 18 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -16252bb (base 13) in base 6?\nAnswer: -412401342","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sum -1228591 and -275.81938.\nAnswer: -1228866.81938","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 7756*w + 46538. Determine s(-6).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = u**3 - u**2 - 16*u - 3. Let q(v) = v**3 + v**2 + v - 2. Determine q(c) + s(c).\nAnswer: 2*c**3 - 15*c - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 137\/33631848 and -121\/184032.\nAnswer: 134527392","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -144 = -d - 140 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-c - 4*c + 2*c)*(-2 + 2*c**4 + 2) + 0*c**2 + 0*c**2 + c**5.\nAnswer: -5*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o**2 - 702*o + 27195 = 0 for o.\nAnswer: 49, 185","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 2910496000 to the nearest one million.\nAnswer: 2910000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 148.34547 months in years?\nAnswer: 12.3621225","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -2 + -47a4?\nAnswer: -47a6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -948*z**3 - 921*z**3 - 940*z**3 - 931*z**3 - 929*z**3 + 4666*z**3.\nAnswer: -3*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 57, 89, 177, 351, 641, 1077?\nAnswer: 1689","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 476 a factor of 2099160?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 506 and 3312.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*l + 60 = 55 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 18 + -20. Suppose 0 = -5*g - 5*o - 10, 1 = -4*g + g - 2*o. Sort 2, a, g in ascending order.\nAnswer: a, 2, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1 - -5. Suppose 5 = -j*b + 1. What is the remainder when 46 is divided by b + (2*17)\/2?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 70 divide 534?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 15006254119 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5 - -62) + (-585 - -571).\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -23 - -28. Suppose -7*c = -2*c + 4*a - 1033, 0 = -t*c + 4*a + 1017. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 11*f**2 - 2*f**4 - 2*f**3 - f**2 - 16*f + 17*f to the form j*f + a*f**4 + m + o*f**3 + i*f**2 and give j.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 32\/5 of a litre in millilitres?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 15430762471 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 8 - 7.6. Suppose -a - 5*l + 5 + 8 = 0, l - 11 = 4*a. Put 5, m, a in ascending order.\nAnswer: a, m, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) be the first derivative of -31*i**4\/7 + 2*i**3\/21 - 1066. Factor r(c).\nAnswer: -2*c**2*(62*c - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) be the second derivative of 1605*x**4\/4 - 487*x**3 - 915*x + 2. Find the second derivative of v(s) wrt s.\nAnswer: 9630","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 7*o**3 - 13*o**2 - 14*o + 24. Let g(i) = 6*i**3 - 13*i**2 - 13*i + 22. Let z(s) = 5*g(s) - 4*n(s). Let p be z(6). Which is bigger: p or -77?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -54.9823 - 0.1177. Let n = b + 55. Sort -2, -1\/4, -1\/5, n in descending order.\nAnswer: n, -1\/5, -1\/4, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (sqrt(10) + (sqrt(90) - sqrt(90)*3)\/sqrt(9))\/sqrt(2))**2.\nAnswer: -10*sqrt(5) + 30","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -2a - -23cb?\nAnswer: 23a1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3 + 0. Let i be t\/6 - (-2)\/4. Is 3 at most as big as i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 184 and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in five quarters of a litre?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -5243*t**3 - 428*t**2 + 214*t - 107. Let n(z) = z**3 - 4*z**2 + 2*z - 1. What is -b(o) + 107*n(o)?\nAnswer: 5350*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v**3\/5 + 9153*v**2\/5 - 1140480*v + 1009926144\/5 = 0 for v.\nAnswer: 384, 2283","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 = 3*u, -2*u = -0*q + 3*q + 4 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + -3*(sqrt(325) + (-2*sqrt(325))**2 + sqrt(325)).\nAnswer: -3901 - 30*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 136301 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 63*y - 70*y + 105 = 0 for y.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3.8221 - 0.8221. What is the closest to -63 in -0.5, z, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*l**3 + 3*l**3 + 8*l**3.\nAnswer: 13*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -4*(-5)\/30*(-36)\/(-8)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f**4 - 7448*f**3 - 196656*f**2 + 2798168*f + 2987380 = 0. What is f?\nAnswer: -1835, -37, -1, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 3297169 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -b**2 - 50. Let n(m) be the third derivative of 13*m**4\/24 + 6772*m**2. Determine c(n(v)).\nAnswer: -169*v**2 - 50","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1*(-2)\/(-4) + (-72943)\/62. Let a = h - -12176. Round a to the nearest 1000.\nAnswer: 11000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1 + c2?\nAnswer: c1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10)\/8*((-140)\/7)\/5.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1290969417 to the nearest integer?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q\/q**(2\/17)*q*q**1*q assuming q is positive.\nAnswer: q**(66\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -2*l - 12. Let n be v(-6). Solve 0 = 2*f + 3*c - n*c - 6, 0 = -4*c + 16 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 53 divided by 7.\nAnswer: 53\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.3 + 0.2. Let w = 5 - 0. Let k = 8 + -13. Put t, w, k in decreasing order.\nAnswer: w, t, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4247095 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 10*a**2 - a + 5. Let b be t(4). Suppose 2*k - b = -37. What is the tens digit of k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -6.13 and -26995114?\nAnswer: 26995107.87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 431264512 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 x(o) = -o**3 + o**2 + o + 4. Let p be x(0). Let j be (-6)\/p*(-10)\/3. Let m(r) = r - 5. What is m(j)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 18, -47, -126, -225, -350, -507, -702?\nAnswer: -941","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange a + 6382*a**2 - 4*a + 2*a**3 + 0*a - 6380*a**2 - 5 to o*a + l + c*a**2 + t*a**3 and give o.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 2*f**3 - 2*f**2 + 2*f + 1. Give n(2).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 - 3585*j - 94*j + 0.\nAnswer: -3679*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 <= -337\/435?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -g**3 + 13*g**2 + 14*g + 2. Let y be s(14). Solve y*v = -8, 0 = -p - 3*v - v - 21 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*v + 20 = 26*v. Solve 0 = -3*j + 2*m + v, 0*m + 8 = -4*m for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = q**3 + 4*q**2 - 2*q - 3. Let o be v(-4). Suppose 29 = 12*u - 7. Sort o, u, -4 in ascending order.\nAnswer: -4, u, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -499647*k**3*t - 5089*k**3 + k**2*t**2 + 833 with respect to t.\nAnswer: -499647*k**3 + 2*k**2*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2380 and 450?\nAnswer: 107100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 115898886.\nAnswer: 2, 3, 23, 279949","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*y - 52 = -4*y for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**(2\/43)\/(t*t*t**(-4\/9)*t) assuming t is positive.\nAnswer: t**(-971\/387)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(36)\/sqrt(4) + sqrt(81)*-1)\/(sqrt(6)\/sqrt(72) + (sqrt(3) - (sqrt(3) + sqrt(3)*1)*2)))**2.\nAnswer: 432\/289","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate k**3*m + 3*k**3*y - 204*k**3 - k**2 - 2*k*m**2 + 55*m**2 + 3893*m*y + 2*y + 26 wrt m.\nAnswer: k**3 - 4*k*m + 110*m + 3893*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/2 in -686, -1\/3, -1\/4, -5, -1\/2?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 27442961 divided by -377?\nAnswer: -72793","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 94, 134, 202, 310, 470, 694, 994?\nAnswer: 1382","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 2*p**2 - 5*p - 5. Let c be (-3)\/(-3)*30\/6. Let l(q) = q**2 - 3*q - 3. Let h(y) = c*l(y) - 3*z(y). Let g(d) = 7*d**2. Calculate h(g(w)).\nAnswer: -49*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 28905 or -6\/31?\nAnswer: 28905","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 4*z = 19, 31*g + 17 = 32*g + 5*z. What is the third smallest value in 0.702, 2\/3, g?\nAnswer: 0.702","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 831310 is divided by 368?\nAnswer: 366","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -39, -35, -31, -27?\n\"Answer: 4*l - 43","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 33 and 543?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3425 and 2349413?\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:34 AM and 3:57 PM?\nAnswer: 323","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 111 - 192. Let v be (-2 - 0)\/(-1) - 1. Put v, 3, z in decreasing order.\nAnswer: 3, v, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*g + 17*g + 20 = 0. Suppose -5638 = -2*w - p + 15853, 21482 = 2*w + g*p. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) be the second derivative of -c**8\/2520 + 37*c**7\/1260 - c**6\/15 + 7*c**3\/6 + c**2 + 16*c - 9. Let a(w) be the second derivative of v(w). Factor a(o).\nAnswer: -2*o**2*(o - 36)*(o - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 220*u + 264 = 198*u for u.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -69*l - 5031. Let w be a(-75). Is w less than 140?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/23 in 4, -0.4, -120?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand z**3 + 2*z**3 - 2*z**3 + (2*z**2 + 2*z**2 - 6*z**2)*(0 + z + 0) + (-3*z**2 - 4*z**2 + 3*z**2)*(2 - 3*z - 2).\nAnswer: 11*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*t + 0*t - 4*t + (-2 + 5 - 5)*(4*t + 2*t - 4*t) - 5*t + 3*t + 0*t)*(-1 + 4 - 1) + (2*t + t + t)*(-40 - 5 - 38).\nAnswer: -352*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7 = -x + 4*j, 3*x - 5*j + 3 = -j for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -5*b**2 - 43*b - 172. Calculate m(-13).\nAnswer: -458","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = z + 1. Let t(o) = o**2 - 9*o - 9. Suppose 0 = -7*k + 11*k - 420. Suppose h = -3*s - 57, h + 4*h + k = -5*s. Determine s*m(n) - 2*t(n).\nAnswer: -2*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 274, 0.3, -0.3, 0.057, 2 in decreasing order.\nAnswer: 274, 2, 0.3, 0.057, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-40)\/14 - 2)\/(((-1040)\/(-546))\/40).\nAnswer: -102","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 88a7a (base 15) in base 3?\nAnswer: 211001211121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor g**4\/2 - 271698*g**3 + 49212387015*g**2 - 2971066618326650*g - 53487171932718375\/2.\nAnswer: (g - 181135)**3*(g + 9)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3\/11? (a) 4\/11 (b) 0.88 (c) 1\/445\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1 (b) -2\/25 (c) -7 (d) 2 (e) -9\/22\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) be the second derivative of 5*u**8\/16 - u**5\/15 + 41*u**2\/2 - 98*u. Let y(f) be the first derivative of r(f). Find the third derivative of y(z) wrt z.\nAnswer: 6300*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -11 in 3, 1102, -3\/259?\nAnswer: -3\/259","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*p**5\/6 - 131*p**4\/6 - 907*p**3\/6 - 2705*p**2\/6 - 1325*p\/3 + 500\/3 = 0.\nAnswer: -5, -4, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t**5\/4 - 285255*t**4 + 1141041*t**3\/4 + 3423063*t**2\/2 - 1141029*t - 2282046 = 0. What is t?\nAnswer: -380341, -2, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 79 divide 83180?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 4528879085 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -2*z**2 + 4*z + 26. Let j be y(8). Let v be (-161)\/3 + (-17)\/51. Let x = v - j. Calculate the highest common factor of 12 and x.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-300)\/(-12) + 2669\/(-102)?\nAnswer: -7\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 66908879.\nAnswer: 66908879","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 37 + -112\/3. Let p = 1.377 - -12.623. Let b = -10 - -6. Sort p, r, 3, b in increasing order.\nAnswer: b, r, 3, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 460576827+-7\nAnswer: 460576820","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(112) - (sqrt(112) + (-1*sqrt(112)*5 - sqrt(112)) + sqrt(112) + sqrt(112)))\/(sqrt(20)\/sqrt(20) - sqrt(4)*2*-6))**2*-4.\nAnswer: -7168\/625","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/16 of a kilogram in milligrams?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -y**4 + 477*y**3 + 147*y**2 + 126297 wrt y.\nAnswer: -4*y**3 + 1431*y**2 + 294*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 92 a factor of 8223562?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5178939.\nAnswer: 3, 1726313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-17)\/((2 - -4)\/(-2) - -2). Suppose 4*m + 19 + g = 0. Let p = 191\/21 + m. What is the biggest value in 1\/2, p, -4, -3?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 = t + d, -3546*t + 3549*t = d - 16 for t.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1\/2, -96\/5, -1, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -28*t**3*z**2 + 9*t**3*z - 355*t**2*z - 2981*t*z - 1859174*z**3 + 1 wrt z.\nAnswer: -56*t**3 - 11155044*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 1688970?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**1*q)**(-1\/11)\/(q**(1\/3)\/(q\/(q*q**(-2\/11)\/q)))*(q**(-2\/9))**(-2\/13)*q*q*q**3*((q*q**(-4))\/q)\/q*q*q assuming q is positive.\nAnswer: q**(316\/117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 91 and 611.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(112) + -5 + -4 + sqrt(112) - 5*(sqrt(112) + 3))**2.\nAnswer: 576*sqrt(7) + 1584","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-263 + 144 + 147)*(-3 - 1 + 7)*(2 - 2 + 3*w + 3 + 2*w - 3 + (-3*w - 3*w + 5*w)*(-3 - 2 + 4)).\nAnswer: 504*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k*k**2*k*k\/(k\/(k*(k\/(k*k**(2\/13)))\/k))*(k**(-1)\/k*k)\/(k\/(k**(-1\/6)\/k)*k) assuming k is positive.\nAnswer: k**(-25\/78)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 8, x: 2}. What is prob of picking 2 w and 2 x?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 38 a factor of 37883?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 263124689*k**2 + 368363701*k?\nAnswer: 526249378","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -835 + 839. Suppose 7 = 5*m - 13. Suppose -4*d + 4 = 0, -3*i + 5 = -m*d - 0*d. Solve i*l + 13 = -2*b - 0*b, s*l + 2*b + 18 = 0 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d**3 - 20*d**2 + 78*d = 0.\nAnswer: -13, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (6\/4)\/((-15)\/(-30)). Suppose -4*p + 2*p + 10 = 0. Suppose 0 = -p*n + l*n + 32. Is 8 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3 - 2. Let k = -33 - -34. Let j be (6\/4)\/((-6)\/16). Which is the closest to k? (a) j (b) -0.2 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.010123 rounded to 4 decimal places?\nAnswer: -0.0101","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -187*y + 9317*y**3 + 128*y + 59*y + 9242*y**2 wrt y?\nAnswer: 55902","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) be the second derivative of -a**4\/84 - 17*a**3\/21 - 32*a**2\/7 - 748*a. Factor d(t).\nAnswer: -(t + 2)*(t + 32)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -16? (a) 0.1 (b) 1\/4 (c) -217\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ooommooboomooooooobo. Give prob of sequence omob.\nAnswer: 7\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -857 - -859. Put 1, -29, r, -3 in ascending order.\nAnswer: -29, -3, 1, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -256*b**5 - 38140*b**4 + 574804*b**3 + 35822068*b**2 - 603198708*b + 9416232 = 0. Calculate b.\nAnswer: -157, -34, 1\/64, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = o. Calculate a(-3).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 8.9 + -8.4. Let n be 21\/(-9)*(-2)\/7. Let x = -9.5 + 9.5. Which is the nearest to x? (a) n (b) h (c) -1\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 171217*p**5*z + 536*p**3*z**3 - 2*p**2*z**3 + 4*p**2*z - 3393*p*z**2 + 3*p*z - z**2 - 10*z wrt p?\nAnswer: 10273020*p**2*z + 3216*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1855 divided by -189.\nAnswer: -265\/27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-4 + 3)*(2 + -17). Find the third derivative of 30*r**5 - 22*r**5 - 15*r**2 - b*r**5 wrt r.\nAnswer: -420*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 49759112 divided by 478453.\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*b + 2*b + 4. Let k = b + 1. Factor 11*m**k - 49*m**4 + 13*m**2 - 21*m**3 + 2*m - 6*m.\nAnswer: -m*(m + 1)*(7*m - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 759, 1470, 2121, 2682, 3123?\n\"Answer: -5*l**3 + 746*l + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 21423 - 5?\nAnswer: 2141a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 138 and 2208.\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 21 - 16. Suppose s*m = -10 + 35. Put -10, m, -1, -2 in decreasing order.\nAnswer: m, -1, -2, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -47.5393 and -0.2.\nAnswer: 9.50786","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 62 divided by 68.\nAnswer: 31\/34","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -2 + 1325784?\nAnswer: 1325782","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -96 - -142. Let v = 44 + z. What is the highest common divisor of 10 and v?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 33 + -33.00279. What is h rounded to three dps?\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) be the third derivative of m**6\/40 + 131*m**5\/10 + 2*m**2 + 25*m. Factor h(y).\nAnswer: 3*y**2*(y + 262)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1386 - -7b?\nAnswer: 1434","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 65\/3424 and 53\/1456.\nAnswer: 311584","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = -10*d + 378. Let q = -125\/3 + d. Sort 1\/13, -5, q in increasing order.\nAnswer: -5, 1\/13, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a = -8 + 35. Let j = 45 + a. What is the tens digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0130459745 to 3 decimal places.\nAnswer: -0.013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (9 - -1) + 10 + (-11 + 18 - 14)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 7386\/(-9) - (-2)\/(-6). Let x = -237515\/369 - 7234\/41. Let t = b - x. Find the common denominator of -47\/27 and t.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6422?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is n in -n**2\/8 - 35*n\/4 = 0?\nAnswer: -70, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 10\/((-40)\/(-12)) - (-1156)\/(-385). Let d = j - -241\/3850. Let z = 59\/150 - d. What is the nearest to z in 12, -0.5, -1?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -19881, -79408, -178621, -317520, -496105, -714376, -972333?\n\"Answer: -19843*i**2 + 2*i - 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 223*v + 9*v - 4000 = -18*v for v.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*(6*(2*sqrt(225) + sqrt(225)) + sqrt(225)))\/((sqrt(45) - (sqrt(45)*-2 - sqrt(45) - sqrt(45))*-4)\/((-2*sqrt(81) + sqrt(81))\/sqrt(9))) + -2)**2.\nAnswer: -304*sqrt(5)\/5 + 5796\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:37 AM and 6:11 PM?\nAnswer: 454","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a century in months?\nAnswer: 1440","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:59 AM and 6:57 AM?\nAnswer: 298","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 0*i + 1471 = 2*k, -2*i = -3*k - 596. Calculate the lowest common multiple of 8 and i.\nAnswer: 2360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1453?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.077212203 rounded to three decimal places?\nAnswer: -0.077","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (58 + 163 + 90 + (-2 - 1 + 1)*(-4 - 3 + 5))*(-y - 2*y**4 + y).\nAnswer: -630*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*s - 3145517 = -11*s - 2*d, -4*s = -d - 4194030. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 63877048 and 24?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -13*i**3*v**3 + 5*i**3*v**2 + i**3*v + 2*i**3 - 3*v**4 + 6*v wrt v?\nAnswer: -78*i**3*v + 10*i**3 - 36*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/(l\/(l\/(l\/(l\/l**(-2)*l))*l))*l)**(-7\/2) assuming l is positive.\nAnswer: l**(-21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2 - 2 + x + (5 - 2 + 3)*(x + 0*x + 4*x) - 3*x + x + 3*x.\nAnswer: 32*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14053\/(-20774)*(-8)\/(-46).\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 193022?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 10591 + -127007\/12. Let i be (-4)\/((-352)\/1338300) - 3. Let b = i + -15208. What is the common denominator of v and b?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find x, given that 501*x**5 + 422340*x**4 - 17940333*x**3 + 194775972*x**2 - 178319280*x + 1060800 = 0.\nAnswer: -884, 1\/167, 1, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Product of -3389543 and 0.51.\nAnswer: -1728666.93","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i = -i + 5*h - 2, -10 = 3*i + 2*h. Let g be i\/21 + 38\/(-14). Calculate the remainder when 1 is divided by g\/(-18)*-2*-3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -30 divided by 130854?\nAnswer: -5\/21809","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) be the first derivative of 5*w**3\/6 + 245*w**2\/4 - 125*w + 382. Solve p(u) = 0 for u.\nAnswer: -50, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*a - 8*a = -36 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(684) + 3 + sqrt(684) + -1 + sqrt(684) + sqrt(684))**2.\nAnswer: 96*sqrt(19) + 10948","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*d - 0*d - 5. Let q = 5 + d. Suppose h - q*h + 33 = 0. Is h a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(20)*-2)\/sqrt(2))\/(sqrt(40)\/sqrt(72) + sqrt(5)) - (sqrt(18)\/sqrt(81) + sqrt(8)\/sqrt(4) + sqrt(2) + 1)**2) + -4.\nAnswer: -143\/9 - 37*sqrt(2)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 771.0003992 - 771. What is f rounded to 5 dps?\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39*w = -1135 - 1829. Calculate the greatest common divisor of 1216 and w.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -72 + 87. Let s be 3 + -2 + 0 + 3. Solve -5*r + 5*l = n, 3*l + 9 = r - s*r for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 303*h*l*o**4 + 3*h*l*o**2 - 3*h + 36*l*o**5 + 24*l*o**2 + l*o + 7*o wrt o.\nAnswer: 7272*h*l*o + 2160*l*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*y**4 - 584*y**3 + 2292*y**2 - 2848*y + 1136.\nAnswer: 4*(y - 142)*(y - 2)*(y - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 13615179.3 microseconds?\nAnswer: 0.00015758309375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3801*n**4 - 1887*n**4 - 3 + 10*n + 3*n**3 - 1912*n**4 - 23*n**3 to t*n**4 + p*n**3 + k*n**2 + z*n + s and give z.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -23371225*g**2 - 697952493.\nAnswer: -46742450*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) be the first derivative of -7*k**2\/2 - 7*k - 2. Is 9 a factor of y(-6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 6\/(-27) + 88922\/9. Let i be 177393\/(-3)*(-2)\/(-12). Let l = k + i. Calculate the common denominator of l and 71\/3.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -542*b + 30. What is the units digit of r(-3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -172*m**2 - 183*m**2 + 4*m - 8*m + 4*m.\nAnswer: -355*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + 5*(1 + sqrt(2))**2*-2.\nAnswer: -20*sqrt(2) - 28","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 60775275 a multiple of 363?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + ((1*-1*(sqrt(171) - -2*sqrt(171)))\/((sqrt(36)*4 - sqrt(9))*-1))**2)*-1.\nAnswer: -220\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of a**2*g*x + 21*a**2*g - 3*a*g*x + g*x + 73*g wrt a?\nAnswer: 2*a*g*x + 42*a*g - 3*g*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is z in z**4\/5 + 443839*z**3\/5 + 49248486397*z**2\/5 + 9849430977*z - 98496085122\/5 = 0?\nAnswer: -221919, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in twenty-one halves of a decade?\nAnswer: 1260","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*-6*(1 + (5*sqrt(104)\/sqrt(128) + (sqrt(13) + 2*sqrt(13))*5*-5)**2).\nAnswer: -16970115\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -208613 - -208468.149. Let t = b + 145. Let p = -17.749 + t. Round p to zero decimal places.\nAnswer: -18","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6259?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*f**3 + 180*f**2 + 4944*f - 5120.\nAnswer: -4*(f - 64)*(f - 1)*(f + 20)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -36, -151, -358, -657, -1048, -1531, -2106?\n\"Answer: -46*z**2 + 23*z - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 953 divided by -18?\nAnswer: -953\/18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 27616950 and 52472205.\nAnswer: 524722050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 3\/1 - (-1 + 3). Let h(a) = 20 + 16 - 54 + 21. Let x(v) be the second derivative of -v**3\/6 - v**2\/2 + v. Give i*h(s) + 2*x(s).\nAnswer: -2*s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Determine y so that 2*y**2\/11 + 1616*y\/11 - 19680\/11 = 0.\nAnswer: -820, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (520 + 28*o - 520)*(0*o**2 - 2*o**2 - o**2)*(-9*o + 3*o + 15*o).\nAnswer: -756*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -370*d**2 - 165*d**3 - 57*d**3 + 209*d**3.\nAnswer: -13*d**3 - 370*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.2 * -119.192.\nAnswer: -23.8384","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -1959, -7428, -16535, -29274, -45639, -65624?\n\"Answer: h**3 - 1825*h**2 - h - 134","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 153713 to the power of 1\/3, to the nearest integer?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is a + -56c?\nAnswer: -562","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 873 and 202148.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 37 + -39. Let p be (8\/4)\/(j\/(-16)). Solve 4*r + c = -16, -c = 4*r + 3*c + p for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - q - 53 + 19 = 0, 0 = 2*q - 6. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101001001001001110011010011 - 0?\nAnswer: 101001001001001110011010011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = l**3 - 7*l**2 + 5*l + 7. Let g be x(6). Let c(i) = 52*i. Calculate the lowest common multiple of 8 and c(g).\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 14*z. Let u(g) = -7044*g**2 + 3*g - 3. Give u(n(i)).\nAnswer: -1380624*i**2 + 42*i - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 10655?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -15 - -15.2. Which is the biggest value? (a) -1 (b) 1 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-976)\/(-2928)*162\/(-21))\/((-3)\/(-56))\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -84*u**2. Let t(l) be the first derivative of -23 + 0*l + 1\/2*l**2. What is t(j(w))?\nAnswer: -84*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 3 - -514214205?\nAnswer: 514214212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 94255 and 35?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:19 PM and 6:52 AM?\nAnswer: 693","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 divided by -3?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -35*y**2. Let t(i) be the third derivative of -i**4\/12 - 43*i**2. What is t(x(l))?\nAnswer: 70*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*b, 0 = -2*q - q + 2*b + 27. Let m be ((-14)\/21)\/((-1)\/(-18)). Let p be 4 + 2*(m\/(-8))\/(-3). Solve -p*l + 2*a - 1 - 10 = 0, 2*l + q = 3*a for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - -12) + 7 - 17 - 30?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13316782.\nAnswer: 2, 1009, 6599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o = 3*a + 14, -55*a + 28 = -4*o - 51*a for o.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 642*o**6 - 3*o**3 + 6*o**2 + 107 wrt o.\nAnswer: 77040*o**3 - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3 - 1) + (6 - -1).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = t**2 + 10*t - 7. Let v be c(-11). Sort -3, 3, v.\nAnswer: -3, 3, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*o = 5*o + 11. Suppose -o + 46 = -5*z. Let h = 7 + z. Put -3, h, 5 in ascending order.\nAnswer: -3, h, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 59*-366\nAnswer: -21594","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-1696)\/32*(2 - 23\/2)*2 is divided by 279?\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from agggejaenjjnn. Give prob of sequence eag.\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 1.49*-369\nAnswer: -549.81","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 15521832 to the nearest integer?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -223 - 89*q + 214*q - 96*q + 223.\nAnswer: 29*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 48439435 divided by 55?\nAnswer: 880717","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor o**4\/3 - 16*o**3 + 622*o**2\/3 - 368*o + 529\/3.\nAnswer: (o - 23)**2*(o - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0 - 0. Let n = -30\/19 + 428\/247. Sort 6, y, n in increasing order.\nAnswer: y, n, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -12.2 and -161788?\nAnswer: 161775.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand u - 3*u + u + (-u + 4*u - u)*(1 - 5 + 2) + 6 - 4*u - 6.\nAnswer: -9*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 78289572 divided by 11127.\nAnswer: 7036","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 14012509?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -18 - (-2 - (4 + -9) - -2 - 1).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 14, 1\/2, -5, 2, 18, -0.3 in decreasing order.\nAnswer: 18, 14, 2, 1\/2, -0.3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*y - 195 = -202 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -2961, 18.39 in decreasing order.\nAnswer: 18.39, -4, -2961","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is ten thirds of a year in months?\nAnswer: 40","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1118?\nAnswer: 2, 13, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 7}. What is prob of picking 2 d?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 1007, 0, 25833, 2 in descending order.\nAnswer: 25833, 1007, 2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 0.557432383378 + -0.1\nAnswer: 0.457432383378","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 + -4 - (4 + (8 - 4)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) be the first derivative of 3 + 1\/4*a**4 + 1\/2*a**2 + 0*a**3 + 2*a. Let c(x) be the first derivative of i(x). Find the first derivative of c(n) wrt n.\nAnswer: 6*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*c = 22 - 28. Put c, -4, 6 in increasing order.\nAnswer: -4, c, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-8)\/(-12) + -1)*-251. Let x = -83 + b. What is the third smallest value in -4, x, -0.06?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14963 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 780.463mg to grams.\nAnswer: 0.780463","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*f - 5*v - 9, 0 = 5*f - 2*v + 3773 - 3770 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 12 - 2 - 3*1. Suppose 180 = 9*a - k*a. What is the units digit of a?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-9)\/18*(0 + 0). Which is smaller: 1 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 3 - (13 - 2121\/210). What is the third biggest value in -26, j, -1\/6, 1\/9?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1470\/4*(-10)\/(-50). Let w = d + -75. Which is smaller: w or 0.02?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 4*n - 22. Let c be o(9). Suppose -h - h - c = 0. What is the units digit of h\/(21\/6) + 40?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -622 + 594 = 7*q. Let p(g) = 2*g**3 + 3*g**2 + 4*g - 2. Let i(c) = 2*c**3 + 4*c**2 + 5*c - 3. Let m = -4 - -6. Let n = m + 1. Give n*i(w) + q*p(w).\nAnswer: -2*w**3 - w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2 - -2. Let i(u) = -u**2 + 6*u + 4. Let y be i(g). Calculate the highest common divisor of 84 and y.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 48 - 48 - 12*a**3.\nAnswer: -12*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 16) to base 12\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 1657295\/(-49055932)*4\/(-30)*6\/2*-1\nAnswer: -1\/74","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13 - (-17 + 1 + 4 + 10).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.2 - -0.2. Which is the biggest value? (a) r (b) -0.6 (c) 2 (d) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 57\/24 + -3 + 6\/(-16)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 21\/27 + 10\/45. Find the second derivative of -c + 16*v - 29*v**3 + 1 + 23*v**3 wrt v.\nAnswer: -36*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 7*p**2 + 102*p + 409. Determine q(-4).\nAnswer: 113","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 50930, 101856, 152770, 203672, 254562?\n\"Answer: -6*l**2 + 50944*l - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 minutes before 4:34 AM?\nAnswer: 4:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 6678927 and 18?\nAnswer: 13357854","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-12)\/9*-50*(-54)\/180.\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29801 = 9*v - 14812. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.8 - 0.6. Suppose 3*p = -2*x + 16, p - 12 = -4*x - 0*p. Let l = 17\/12 + -7\/4. What is the closest to l in x, -5, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 9214, 9300, 9440, 9634?\nAnswer: 9882","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*a**3 - 8*a**3 + 3*a**3.\nAnswer: -12*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2 + -1304?\nAnswer: -1302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 144768600 > 144768596?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*sqrt(66)\/sqrt(6) + ((-6*sqrt(88))\/sqrt(8))**2.\nAnswer: 3*sqrt(11) + 396","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 1887 divide 102001785?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -107, 2, -20 in descending order.\nAnswer: 2, -5, -20, -107","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -92956, -93059, -93228, -93463, -93764, -94131?\n\"Answer: -33*f**2 - 4*f - 92919","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(2160) - sqrt(15)) + sqrt(15))\/(sqrt(3) - (-1*sqrt(243) + sqrt(243))) + (-2*sqrt(2160) + sqrt(2160) + sqrt(2160))\/sqrt(108).\nAnswer: 12*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4.843 + -4.7. Round l to two dps.\nAnswer: 0.14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) be the third derivative of -p**4\/24 - p**3\/6 - 4*p**2. What is u(-3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 334 + -321. Suppose 0 = c*l - 25*l + 8232. List the prime factors of l.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -80, -113, -100, -47, 40, 155, 292, 445?\nAnswer: 608","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -401 (base 6) in base 8?\nAnswer: -221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) be the third derivative of s**6\/120 + s**5\/15 - s**4\/6 + 5*s**3\/6 - 692*s**2 - 3*s. Let o(u) = -u**2 + u - 1. Give -g(l) - 6*o(l).\nAnswer: -l**3 + 2*l**2 - 2*l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + sqrt(27))**2 + -2*(-1 + sqrt(3)) + (2*(sqrt(3) + sqrt(60)\/sqrt(5)))**2)*-3.\nAnswer: -414 + 24*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 32241 or 45\/2?\nAnswer: 45\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(162) + 5 + 4 + 0)*3.\nAnswer: 30 + 27*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.0196 + -0.0201079. Round l to 5 dps.\nAnswer: -0.00051","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -134021 (base 6) to base 7\nAnswer: -51364","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 4 - (-4 + 0 + 6). Let f(g) = -15*g - 9 - 1 - 15*g**m + 1 + 5 - g**3. Let i be f(-14). What is the highest common factor of i and 20?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 - -47786.7.\nAnswer: 47791.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 122088 is divided by 76?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 3 + 5)*(-2*d + 2*d - 2*d) + 3*d + 0*d - 5*d - 40*d - 3*d + 3*d.\nAnswer: -48*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -5*c**3 - 2*c**2 + 1. Let a be r(1). Let n = a + 10. Let f(l) = -l**2 + 2*l - 1. Determine f(n).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 22297207 + -69121348807\/3100. Let n = w + 72\/31. Which is greater: n or -1?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = y**5 + 2*y**4 - y**2 - 2*y. Let p(l) = -29*l**5 - 8*l**4 - 5*l**2 - 163*l - 1. Let i(n) = -p(n) - 4*z(n). Find the second derivative of i(o) wrt o.\nAnswer: 500*o**3 + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -228 + 2273\/10. Let l = -392310796549\/2704 - -145085356. Let a = l - 10\/169. Calculate the common denominator of j and a.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 19*z - 15*z - 228*z**2 - 12 + 217*z**2 as s + i*z**2 + f*z and give i.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -14 - (1 - 2\/1). Let x(w) = w - 5. Let y = -201 - -266. Let z = 59 - y. Let k(u) = -2*u + 11. Calculate s*x(d) + z*k(d).\nAnswer: -d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -2*j**2 - 18*j - 38. Let d be b(-4). Solve -4 - d = -3*u for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 42 in 4\/11, 5, -66, 4?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -110101011010010000 (base 2) to base 3.\nAnswer: -102010002112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: ef67 (base 16) to base 3\nAnswer: 10010001220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xx when two letters picked without replacement from {w: 7, x: 5, k: 1, f: 3}.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 7231532?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3 + 0. Let p be 1*3 + -4 + w. Let d(u) = 2*u + 3. Let m be d(-1). Solve p*z + 0*z = 5*k + 23, -z + m = k for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 7790 and 1089370.\nAnswer: 410","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 113611516?\nAnswer: 2, 28402879","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3*(4294\/(-57) - -97).\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 235213123 and 0.1502?\nAnswer: 235213122.8498","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n**4\/5 + 119*n**3\/5 + 233*n**2\/5 - 119*n\/5 - 234\/5 = 0. What is n?\nAnswer: -117, -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*k + 5*k - 40. Suppose 2*c + k*c - 3260 = 0. Let l = -186 + c. What are the prime factors of l?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -88 - -88. Let j = -10 - -2. Let d = j + 13. Solve -4*b = x + 1, l*x - 5*x = -d*b + 5 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.27722579 to the nearest integer.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) be the second derivative of g**8\/378 - g**7\/189 + g**6\/540 - 3*g**2\/2 + 2*g. Let j(q) be the first derivative of c(q). Factor j(x).\nAnswer: 2*x**3*(x - 1)*(4*x - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -30.55 + 30.25. What is the third biggest value in c, -1, -2\/7, 0.01?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + 6*w + 250 = 7*w, 2*w = -5*z - 435. Let j = z - -32. Let y = j - -53. Which is smaller: -1\/163 or y?\nAnswer: -1\/163","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 562539 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 - 3 - (1 + 5)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 697 minutes after 7:38 PM?\nAnswer: 7:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 85 (base 13) to base 15\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 + 10 = 5*t, u = -2*t - 3. Let q(h) = -h**3 + 3*h**2 + 3*h - 3. Let z be q(u). Calculate the greatest common divisor of 4 and z.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -26848681 - 4.4\nAnswer: -26848685.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -120 + 728. Suppose -7*k + 12*k = 2*h + 376, -5*h + 542 = 7*k. Calculate the highest common factor of l and k.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*b = -18 + 28, -4*b = 4*c + 56 for c.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) be the second derivative of i**4\/2 + 7*i**3\/6 + i**2 + i. Suppose -89 - 25 = 6*t. Let d = t - -26. Let n(r) = -5*r**2 - 6*r - 2. Give d*n(c) + 6*w(c).\nAnswer: c**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -0.1 (b) -3\/56 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = 3*k + 116, 2*u + 4*k = -u + 309. Is 10 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -6707, -6582, -6245, -5594, -4527, -2942, -737, 2190?\n\"Answer: 17*u**3 + 4*u**2 - 6*u - 6722","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*c + 5*l + 130, -l = -2*l + 4. Let d be 8\/c - 14\/(-35). Let r = 4 + -2. Is r != d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13172 is divided by 12.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*-1*sqrt(912))\/((2*sqrt(48) - sqrt(48))*-1).\nAnswer: 4*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -72294, -72264, -72206, -72114, -71982?\nAnswer: -71804","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = s**2 - s + 7. What are the prime factors of o(2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find q such that -2*q**2 + 13182*q + 39564 = 0.\nAnswer: -3, 6594","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-3)\/12)\/(99\/6732). Is -3\/325 <= d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*i - 86 = -53*i. Which is the closest to i? (a) 0.1 (b) 1.5 (c) 7 (d) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yxxyxxyyyy. What is prob of picking 2 x?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 13001 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1*2\/(-2) + -13. Let b be 24\/10 - a\/(-35). Suppose -4*m - b*j = j - 96, 4*m + j = 104. Does 12 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 371.7474 to the nearest ten.\nAnswer: 370","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:53 AM and 6:43 AM?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -b + 47*n - 28*n - 395 - 322, 5*b + 4*n - 45 = 132 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = d + 4*x + 19, 2*d + 2*x + 6 = -2*d. Let p be 7\/8 - d\/2. What is the second biggest value in -5, p, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 59946 - 0.2.\nAnswer: 59945.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 175555 take away 916?\nAnswer: 174639","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 2 + 2 + 0 + (2 - 7)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -4*n + 31. Let w be v(9). Let c(f) = 5*f - 2. Let o(d) = 2*d - 1. Determine w*o(z) + 3*c(z).\nAnswer: 5*z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4574 and 3027475712.\nAnswer: 4574","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*s + 6*s + 0*s to g*s + x and give g.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -t + 93. What are the prime factors of n(0)?\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3a1073b (base 12) to base 11\nAnswer: -6523142","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -548 - -579. Solve j*p - 26*p = -5 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 1 u when two letters picked without replacement from wuwuuuuuuuuu?\nAnswer: 10\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 336 to the power of 1\/5, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 8503 to the power of 1\/2, to the nearest integer?\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 282682812749 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*sqrt(91) - sqrt(91))*-2)\/sqrt(7).\nAnswer: 8*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2633, 0, 1, 0.5, -2\/9, 4\/7 in ascending order.\nAnswer: -2\/9, 0, 0.5, 4\/7, 1, 2633","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = q. Let l(h) = -3*h. Let j(r) = -l(r) - 6*x(r). Let m(n) be the first derivative of -3*n**2\/2 + 49. Give j(m(a)).\nAnswer: 9*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:18 PM and 7:03 PM?\nAnswer: 405","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 4383585, 4383580, 4383575?\n\"Answer: -5*q + 4383590","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 56278034 less than -24378?\nAnswer: -56302412","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 260096 is divided by 300?\nAnswer: 296","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 93*v - 3717 - 3347 - 2055 = 1204 for v.\nAnswer: 111","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1016 divided by 254?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 625*g**2 - 591*g**2 + 0*g + 0*g.\nAnswer: 34*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = d**2 + 8*d. Let w be b(-9). Let h(x) = x**3 - 10*x**2 + 9*x + 5. Let m be h(w). Put 4, m, 10, 1 in descending order.\nAnswer: 10, m, 4, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1126848.088 to the nearest 10000.\nAnswer: -1130000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -r**2 - 14*r - 2. Suppose -h - 3*h - 48 = 0. Is t(h) a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -4733c + 530?\nAnswer: -46b0c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 1 b when two letters picked without replacement from obizbbisisibiiboibib?\nAnswer: 7\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -3*n - 12. Let v be l(-7). Suppose v + 2 = t. Solve 0 = -2*d + 1 - t for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 1083 and -0.0527.\nAnswer: 1082.9473","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -106580, -213155, -319730, -426305?\n\"Answer: -106575*q - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:02 PM and 10:36 PM?\nAnswer: 514","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express 157 - 157 - 152*v + (-1 + 2 + 1)*(3*v - 6*v + 4*v) as b + i*v and give i.\nAnswer: -150","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nnnnbnnbnbnbnnnnnnn. What is prob of picking 2 b?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -49\/9, -3\/2, -26\/9, 0?\nAnswer: -26\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 256140419?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) be the third derivative of 85*l**8\/42 - l**6\/120 - 7*l**5\/60 - 25*l**4\/6 + 217*l**2 - 3. Find the third derivative of i(m) wrt m.\nAnswer: 40800*m**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 293240, 293325, 293566, 294041, 294828, 296005?\nAnswer: 297650","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 148569453?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 7878319*a**3 + 2*a + 248084?\nAnswer: 47269914*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -99 by -65347.\nAnswer: 99\/65347","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 13686565?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 14291 to the nearest one thousand.\nAnswer: 14000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -8111, -8132, -8151, -8168, -8183, -8196?\nAnswer: -8207","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -205 + 206. Let k be (-34)\/70 - (-10)\/35. Which is the nearest to i? (a) k (b) -0.07 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 4307 and -0.3?\nAnswer: -1292.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) be the second derivative of w**5\/20 - 5*w**4\/12 + 5*w**3\/6 - 6*w. Let v be z(4). Suppose -p - p + 114 = 4*k, -20 = -v*p. What is the tens digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 42043 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 11100111101011111100101 (base 2) in base 6?\nAnswer: 430415421","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 15792 + -8700. Suppose 8*i - n = -4*i. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16 - -21 - 0*(-3)\/9.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4937?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) be the first derivative of 0*y + 2\/3*y**3 - 1\/4*y**4 + 0*y**2 + 1. Find the third derivative of g(d) wrt d.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 97\/((-83420)\/516)*1\/(-9)?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -0.21, -3, -36.5, 0.14?\nAnswer: 0.14","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -4*c**3 + 2*c**2 + 2*c. Give b(2).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) be the first derivative of -z**3 + 3 + 0*z**2 + 0*z - 1\/60*z**5 + 0*z**4. Let y(j) be the third derivative of n(j). Let x(c) = -c. What is x(y(f))?\nAnswer: 2*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 45 + -148?\nAnswer: -103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -5.12 - -5. Let m = x - -0.52. Let u be -6 - (-2 + 4 - 3). What is the closest to -0.2 in -4, u, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -135, -146, -157, -168, -179, -190?\n\"Answer: -11*n - 124","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 1\/2, -10985.77, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 374 or 747\/2?\nAnswer: 747\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -41\/44 and 37\/24?\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find r such that -7*r**5\/2 + 48*r**4 - 203*r**3\/2 - 47*r**2 + 150*r + 44 = 0.\nAnswer: -1, -2\/7, 2, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 3*r**2 + 27*r - 58. What is the remainder when 4\/10 + 148\/5 is divided by n(-11)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = t**3 - 2*t**2 + 2. Suppose -33*n = -30*n - 18. Let j(u) = -7*u**3 + 19*u**2 + 7*u - 18. Let r(q) = n*x(q) + j(q). Calculate r(7).\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 8*p**2 - 4*p. Let t(o) = -7*o**2 + 3*o + 1. Let i(q) = -3*g(q) - 4*t(q). Suppose i(h) = 0. Calculate h.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*l - 4*i + 91 - 35, l - 37 = -5*i. Calculate the remainder when 22 is divided by l.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2201 to the power of 1\/2, to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1274371 is divided by 1611?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*l + 4*v - 7 = -2*l, -4*l - 8 = -4*v for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 420 minutes before 2:49 AM?\nAnswer: 7:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -u**2 + u**3 - 3*u**2 + 0*u**3 + 5 - 5*u. Let d(g) = -1025*g + 25655. Calculate the smallest common multiple of d(25) and y(5).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 756?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 149970 to the nearest integer?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-1)*q)**22*(q*q\/q**(-2\/9)*q)**(-3\/2) assuming q is positive.\nAnswer: q**(-29\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (2\/(-4) + 0)*-82?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -v**3 - 7*v**2 + 4*v - 1. Calculate x(-8).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-3 - -2) + 4\/6. Let m = 14 - 19. Sort 1\/2, u, m in descending order.\nAnswer: 1\/2, u, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -4610, -8240, -11870?\n\"Answer: -3630*c - 980","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 1 - 594*h**3.\nAnswer: -594*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2074\/5335 + 12\/1067. What is the closest to -1\/3 in -2\/9, u, -1, -0.286?\nAnswer: -0.286","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 8\/32 + (-58)\/8. Let r = s - -5. What is the least common multiple of 20 and 356\/22 + r\/11?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (44\/(-18)*3)\/((-2)\/(-3)). Let c be (-6)\/(-4)*(v + 9). Let n(o) be the third derivative of o**4\/12 + 2*o**3\/3 - 2*o**2. Determine n(c).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 12, 48, 106, 186?\n\"Answer: 11*h**2 + 3*h - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2524, 2525, 2524, 2521, 2516, 2509?\nAnswer: 2500","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-13)\/(-598) - (-76299)\/(-12006)?\nAnswer: -19\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -515 (base 11) in base 13?\nAnswer: -38a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -446 - -451. What is the smallest value in 2\/9, -6, 4, f?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x**4 - 5 + 10*x**3 - 17*x + 0*x**3 + 7*x = 0. Calculate x.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (3 - 2)*(1 + 377 + 1). Let s = f + -128. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 407 or 877?\nAnswer: 877","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 62424, 62445, 62466, 62487, 62508, 62529?\nAnswer: 62550","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -8, 764, 8\/5.\nAnswer: -8, -2, 8\/5, 764","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 156 is divided by 53?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1057857 is divided by 108.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -7*z - 45*z + 4*z**5 - 10*z wrt z.\nAnswer: 80*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*f - 105 = 10*f. Let p(w) = -1294*w + 89. Is p(f) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 550797 is divided by 240.\nAnswer: 237","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(192) - (sqrt(192) + 3*(1 + sqrt(192)) + sqrt(192))) + 0)**2 + (4*(sqrt(192) + (3 + -6*sqrt(192) - sqrt(192))))**2.\nAnswer: -4416*sqrt(3) + 113817","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/3 in -39, 3, -54, -4?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 82440, 82407, 82374, 82341, 82308, 82275?\nAnswer: 82242","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (6 + (-33)\/6)\/(-2). Which is the fourth biggest value? (a) 1 (b) g (c) 2\/5 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-16)\/132*3\/2. Let x = 0.6 + -1.1. What is the third smallest value in u, 2, x?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gggkggnegegjgn. Give prob of picking 1 e and 2 g.\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -3140024 (base 5) to base 8\nAnswer: -146442","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -3*t - 17. Let y(k) = 7*k + 34. Let o(z) = -13*i(z) - 6*y(z). Find the first derivative of o(r) wrt r.\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -242128 divided by -592?\nAnswer: 409","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -65 = 8*p + 5*p. Let w be -12 - 55\/(-11) - -11. Which is the second smallest value? (a) p (b) 2\/11 (c) w (d) 21\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 39\/15 - 2\/(-5). Let w be (n\/2)\/(3\/4). Suppose 2*r - 12 = -4*v, w*v + 0*v - 4*r = 26. What are the prime factors of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 6673906 to the nearest integer?\nAnswer: 188","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 6662 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -62\/272735 and -14\/7909315.\nAnswer: 7909315","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -311 divided by -386193.\nAnswer: 311\/386193","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2\/5*(4 - -1). Suppose -w*d = -d. Suppose -2*r = -d*r + 3*z - 1279994, -4*r + 2559992 = 4*z. Round r to the nearest one hundred thousand.\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*w + 0 + 0)*(1025 + 991 - 1914)*(-3 + 3*w + 3)*(3*w - 3*w - w).\nAnswer: 612*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -175 = 6*y + 1601. Let w = 956 + y. What is the tens digit of w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -6729 + 6729.0000078825. Round p to 7 dps.\nAnswer: 0.0000079","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 96165 is divided by 10595?\nAnswer: 810","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of k*m**2 + 6959*k*m + 194026*m**2 - 9*m wrt m.\nAnswer: 2*k + 388052","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -62244 + 61560.82. What is x rounded to the nearest integer?\nAnswer: -683","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -m**3 - 195*m**2 + 5594*m - 8101. Give c(24).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 13*u**2 - 19*u - 32. Calculate g(-2).\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-47)\/(752\/48)*((-2)\/(-2))\/((-30)\/(-520)).\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 66d3 (base 16) to base 2\nAnswer: 110011011010011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 19*n**2*u**2*v + n**2*u*v - 158*n**2*v + 383*n*u**2*v - 2*n*v - u*v wrt u?\nAnswer: 38*n**2*v + 766*n*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -40627, -1\/4, 9?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 27240723 a multiple of 84?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 320537104 and 64?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Determine i so that 2*i**4\/13 - 51836*i**3\/13 + 34719224*i**2\/13 - 69231120*i\/13 = 0.\nAnswer: 0, 2, 686, 25230","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**2\/(c\/(c\/c**(-2))*c)*(c\/(c**(2\/3)\/c*c*c))\/c*c*c*c*c**1*c*c*c*c*c*c*c**2*c*c**(2\/15)*c\/c**(1\/5)*c**3 assuming c is positive.\nAnswer: c**(274\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Let o(x) be the first derivative of 3*x**4\/4 + 14*x**3\/3 - 15*x**2\/2 - x - 162. What is the second derivative of o(k) wrt k?\nAnswer: 18*k + 28","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + 9*j)*(-3*j**2 + 2*j**3 + 3*j**2) + (-3*j**2 + 6*j**2 - j**2)*(19 - 19 + 10*j**2).\nAnswer: 38*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 5677730 and 3160?\nAnswer: 790","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-57*a + 23*a - 56*a)*(2 - 2 - 3).\nAnswer: 270*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1412*g**6 + 243*g**5 + 3*g**3 + 438801605*g**2 wrt g?\nAnswer: -169440*g**3 + 14580*g**2 + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*((o\/(o\/((o**6\/o)\/o)))\/o)\/o*o*o**(1\/9))**(-34))**(-10\/3) assuming o is positive.\nAnswer: o**(12580\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -196.88 - -196.9. Which is smaller: s or -6\/11?\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:16 PM and 2:27 AM?\nAnswer: 371","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 829545912?\nAnswer: 2, 3, 13, 853, 1039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3446 - 1484. Let b = o + -870. Is b a multiple of 52?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 44*b + 471. Calculate a(-12).\nAnswer: -57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -138\/5, 157, 0.1, -572 in ascending order.\nAnswer: -572, -138\/5, 0.1, 157","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*q**(3\/7)\/q)\/q*q\/q**(-8))\/(q**8*q*q\/q**(2\/15)) assuming q is positive.\nAnswer: q**(-151\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x = -5*x + 115. Let k = x + 2. What is the units digit of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = k**3 + 4*k**2 + k - 2. Suppose 0 = -3*f + 2*y + 3 - 17, -f + 3*y = 14. Let a be b(f). Let v = -1\/80 - -21\/80. Sort v, 0.2, a in descending order.\nAnswer: a, v, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -q**3 - 69*q**2 + 691*q - 952. Give f(-78).\nAnswer: -94","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 10256657?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y - 40 = 5*y for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/(b*b**17)*b**(-18))\/(b\/(b*b**(2\/7)))**(24\/11) assuming b is positive.\nAnswer: b**(-2647\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 309207980 divided by -4.\nAnswer: -77301995","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -5*z - 3. Suppose -1 = -s - 6. List the prime factors of y(s).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in fourty-three halves of a milligram?\nAnswer: 21500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*l - 18*l = 140 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 164052 by -82026.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 127 (b) 2 (c) -8 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**6*t**(3\/13))\/(((t*(t*t**(-4)\/t)\/t)\/t)\/t**1) assuming t is positive.\nAnswer: t**(159\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -3 (b) -4 (c) 0 (d) -3\/19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t**4\/2 - 15*t**3\/2 + 47*t**2\/2 - 33*t\/2 = 0. What is t?\nAnswer: 0, 1, 3, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p - 48 = 2*l, -108 = 4*l - 3*p - 12. Is ((-1096)\/(-10))\/(l\/(-60)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18642 is divided by 87.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -u**2 + 3*u - 1. Let s be d(1). Suppose -s + 11 = 2*f. Sort f, -1, -2 in decreasing order.\nAnswer: f, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 217 divided by 295\nAnswer: 217\/295","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 349846746?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*z + 135 = -18*z + 4*z for z.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 221 divide 4862?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = k**3 - 7*k**2 + 16*k - 8. Let a be (-78)\/(-12) + (-4)\/8. Is 26 a factor of f(a)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 45\/4, -254, -1, 1?\nAnswer: 45\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 4*u = -1116, 3*i - 970 = 2*u - 298. Solve 237*m = i*m + 54 for m.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 8*p + 5 = 0. Let v be (-17 - -25)*p\/2. What is the derivative of 14*d - v*d + 3*d - 13 wrt d?\nAnswer: 13","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w**4\/3 + 418*w**3\/3 + 1028*w**2 - 4320*w = 0. Calculate w.\nAnswer: -10, 0, 3, 216","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 717 - 666. Calculate the highest common factor of 9 and t.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) be the second derivative of k**8\/112 - 7*k**4\/24 + k**2\/2 - 9*k. Let c(i) be the first derivative of d(i). What is the second derivative of c(g) wrt g?\nAnswer: 60*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -80497.0588 rounded to the nearest 1000?\nAnswer: -80000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10 + 81*y**2 - 4 - 6.\nAnswer: 81*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 3839997*u + 7. Let r(q) = -2559998*q - 5. Let p(z) = 5*m(z) + 8*r(z). Let f be p(5). What is f rounded to the nearest one million?\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2235450 (base 6) to base 3\nAnswer: -12210101110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -21 - -28. Let m = l + -5. What is the second smallest value in -0.3, m, -5?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (2 + -2)\/(-4 - -2). Suppose 2*p + 2*p = u. Is p >= 2\/17?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32035 + 20359 + 21091 = -252*z + 1317*z for z.\nAnswer: 69","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*s**4 + 5*s**4 - 5*s**4 + (-1 - 3 + 3)*(-s - s**4 + s) + (4 + 0 - 2)*(-s**4 + 1 - 1) + (-s**3 - s**3 + s**3)*(-55*s - 21 + 21).\nAnswer: 52*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4360 is divided by 214.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 59 a factor of 1479?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = q**3 + 6*q**2 - 2*q + 8. Let l be c(-6). Suppose 3*k - 1 = 4*x - 9, -5*k = -l. What is the tens digit of (-582)\/(-30) + 3\/x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -6*j**2 + 8*j + 98. Determine g(-6).\nAnswer: -166","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*t + 2*h + 1, 16*t - 4*h + 2552 - 2524 = 0 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2462357\/114 + 21600. Calculate the common denominator of z and -73\/4332.\nAnswer: 4332","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c - 4093 + 11287 = 0. Suppose 2*g = -a - 1219, 3*g - 3723 - c = 5*a. Let t = a + 1716. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -l**2 - 13*l - 9. Let q be a(-10). Let g = q - 18. Suppose g*m + 2*m = 150. What is the tens digit of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m + 1 = 2*b, 0 = -3*b + 2*m - 7*m + 39. Let q = b + -6. Suppose -10 = -3*w + q*r, 7*w - 34 = 4*w - 4*r. What are the prime factors of w?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 23.7 * 16138.\nAnswer: 382470.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -h**2 - 6*h + 3. Let x be d(-6). Suppose -x*b = -22 - 8. Let n be (-20)\/(-12) - (-3300)\/396. Calculate the greatest common divisor of b and n.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = q**3 + 7*q**2 + 3*q - 14. Let j be o(-6). Suppose p = 2*p - j. Solve t = 1 - p for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00027777853 rounded to 7 decimal places?\nAnswer: 0.0002778","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -3*x**2 - 15*x + 2. Determine l(-5).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1201024035 - 13?\nAnswer: -1201024052","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 3675, 10332, 19973, 32598?\n\"Answer: 1492*u**2 + 2181*u + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*5*(0 + -2*sqrt(1900) + sqrt(1900)).\nAnswer: -250*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3121875502 is divided by 2904?\nAnswer: 2902","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 2*127\nAnswer: 254","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 13, 0, -39, -116, -243?\nAnswer: -432","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -5116*x - 47001275 + 47001275 in the form g + j*x and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 105760 - 2?\nAnswer: 105757","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, -4, 1368200.\nAnswer: -4, 6, 1368200","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-7)\/l**(4\/7))**(8\/7)\/(l*((l*l\/(l*l**(-1\/9)*l)*l)\/l*l)\/l*l*l*l**(1\/5)*l*l)**(-18) assuming l is positive.\nAnswer: l**(21302\/245)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -24 - -39. Let c = 55 - z. Let b be (15\/4)\/(1\/16). Calculate the highest common divisor of b and c.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d**5)**18*((d\/(d**0*d))\/d)**(-1\/16) assuming d is positive.\nAnswer: d**(1729\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 0*x + 10*x + 3*x + 0*x - 3*x + 11. Let v(z) = 3*z. Determine v(o(c)).\nAnswer: 30*c + 33","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -m**2 + m - 1. Suppose 0 = -3*z - 14 + 20. Let b(o) = 7 + 0*o**z - 10 - o**3 - 3*o**2 + 3*o. Let t be (3 - 0)*-8*(-7)\/168. Determine t*b(j) - 3*l(j).\nAnswer: -j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*v + 63 + 239. Suppose 5*x = 2*i + 200 + 447, -x - 5*i = -v. List the prime factors of x.\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1859 + -1874. Let g = -2.02 + 0.02. What is the closest to g in -5, x, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -311*z + 315*z + 0*z**2 + z**2. Let t be 10\/(-4) + 2\/(-4). Let r(o) be the second derivative of -o**4\/6 - 7*o**3\/6 - 4*o. What is t*r(h) - 5*x(h)?\nAnswer: h**2 + h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 209*u = 204*u - 50. Let o(q) = 3*q + 30. Let h be o(u). Put -1, 1, 9, h in increasing order.\nAnswer: -1, h, 1, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -q. Let p(c) = -8*c + 16. Let s(y) = -1. Let i(k) = -p(k) - 16*s(k). Give i(t(u)).\nAnswer: -8*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 plus 704565304791.4?\nAnswer: 704565304786.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -3250 and 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -103502105 (base 6) to base 3.\nAnswer: -10111102222112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -26 (b) -67 (c) -1\/5 (d) -1 (e) 1157\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*l**4 + 45816*l**3 - 123277032*l**2 + 121251237984*l - 40792042769328.\nAnswer: -3*(l - 12158)*(l - 1038)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Are -2\/5 and 2\/191 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 968, 1924, 2880, 3836, 4792, 5748?\nAnswer: 6704","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h = 2*y - 14, -y + 3 = 2*h - 3. Let s be 396\/27*3\/h. Let m be s\/(-12) - (-10 - -8). Put m, 4, 3, 0.01 in increasing order.\nAnswer: 0.01, m, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 197106?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2)\/3 + (-301)\/3. Let h = 182 + f. Is 27 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = o**3 - 7*o**2 - 8*o - 4. Let v be b(8). Let k(a) = a - 3. Calculate k(v).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-6)\/(-4))\/((-10)\/(-20)). Solve 31 = c*m + 5*n, -3 = 3*m - 4*n + 11 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-5446)\/(-3 - 472\/(-158)). Let b = f + -4130234. Round b to the nearest one million.\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = v**3 + 5*v**2 - 8*v + 11. What is the units digit of j(5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3447 - -1750. What is the units digit of t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1493124 and 108.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2797 - -2801. What is the highest common divisor of d and 452?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) be the third derivative of 5*w**4\/8 - 20*w**2 - w. Let l(t) = t**2. Give l(k(p)).\nAnswer: 225*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-126)\/(-48825)*-31 + (-41)\/(-200).\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 275371 to the power of 1\/2, to the nearest integer?\nAnswer: 525","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 113.86 from -42770.38.\nAnswer: -42884.24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 14*(1 + 3\/6). Let h = w - 13. Calculate the greatest common divisor of 12 and h.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-508)\/12 - -3)\/(((-114)\/126)\/19). Calculate the highest common divisor of t and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 2905, 2806, 2671, 2482, 2221, 1870, 1411, 826?\n\"Answer: -3*t**3 - 78*t + 2986","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 5 and 3566.\nAnswer: 17830","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1136 and 5297168.\nAnswer: 1136","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j + j + 15 = 0. Let t = -12 - j. Solve 8*h = t*h + 15 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 14 and 112.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000001044 to six decimal places.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 7, 19, 51, 109, 199, 327?\n\"Answer: b**3 + 4*b**2 - 7*b + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 21*t + 13. What are the prime factors of x(6)?\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 2736*t + 2715. Give i(-1).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 776958835.\nAnswer: 5, 155391767","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 8133, 16791, 26057, 35937, 46437, 57563?\nAnswer: 69321","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -6232321 (base 8) to base 14\nAnswer: -310025","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 22 + -22.1. What is the second smallest value in -3\/5, -2, w, 0?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m*m**(-10\/7)*m)\/m)\/(m\/(m\/((m**(-5\/7)\/m)\/m*m)))*m*(m*m**(-1))\/m*m*(m*m**(-7))\/m)**21 assuming m is positive.\nAnswer: m**(-99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1233 is divided by 19.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22*m**2 + 69*m**2 + 20 - 19*m**2 + 40 - 27*m**2 + 4.\nAnswer: m**2 + 64","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3450441743 to the nearest integer?\nAnswer: 58740","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 36804*w - 36962. What is u(1)?\nAnswer: -158","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 91\/750 and -31\/500.\nAnswer: 1500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**13*x**18*x**10*x**(-25\/4))**(-30) assuming x is positive.\nAnswer: x**(-2085\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a\/(a\/(a*a\/(a**1\/a)*a*a))*a**1*(a**1)**(5\/16)*((a**(-2\/3))**49)**(-1\/8) assuming a is positive.\nAnswer: a**(451\/48)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 999\/4 + -251. Which is the second biggest value? (a) 3 (b) -2\/3 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 113\/14 + -17\/2. Sort -7, 2, c in descending order.\nAnswer: 2, c, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*x**2\/3 + 3796*x + 1919742.\nAnswer: 2*(x + 561)*(x + 5133)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:44 PM and 12:31 AM?\nAnswer: 587","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -3*n**2 + 2. Let d(u) = -u**2 + u - 1. Let l(a) = c(a) - 2*d(a). Let s be l(-5). Let g = s + 20. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hh when two letters picked without replacement from {o: 4, h: 15}.\nAnswer: 35\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*n + 38 - 19 - 19.\nAnswer: 14*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x = -4*m + 2, m + 1687*x = 1692*x + 12 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 4*r. Let u(p) = 12*p - 8*p - 35*p**2 - 10*p. Let n(f) = -1121*f**2 - 190*f. Let s(o) = -3*n(o) + 95*u(o). What is x(s(t))?\nAnswer: 152*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 338300436 divided by 86.\nAnswer: 3933726","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 5*v = 158 - 513, 17*j - 5*v - 2905 = 0. What is the greatest common factor of j and 320?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 4\/(-4) - 198399\/180. Let l = 5494\/5 + h. Let g = -92789\/16 - -5804. What is the common denominator of l and g?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13 = -2*y + k, -16 = 417*y - 416*y + 2*k for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.4 and 2321456.\nAnswer: 2321455.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -21ba - 5?\nAnswer: -21c1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.11204022034801 minus -0.5?\nAnswer: -0.61204022034801","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-16 - -38) + -15 - 17 - (-1 + (49 - 0)).\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 660*y**2 - 667*y**2 + 3*y**3 + 25 - 6*y - y. Let o(b) = -b**3 + 2*b**2 + 2*b - 8. Give -2*a(h) - 7*o(h).\nAnswer: h**3 + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 31070 and 3848?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 74450?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -10920694 or -10920697?\nAnswer: -10920697","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1110 + -713. Calculate the remainder when n is divided by 67.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 2*g = 11. Calculate the greatest common factor of 121 and g.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = 2*p + 2*a, 3*a = -p + 4*a - 3. Suppose -2*v + 77 = p*u + u, -3*v + u = -99. Let q = 51 - v. What is the units digit of q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 350*a**3 + a**2 + 29*a - 32. Give x(1).\nAnswer: 348","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -3, -217, -4, -2 in increasing order.\nAnswer: -217, -4, -3, -2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 193780114?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3061928035 to the nearest integer?\nAnswer: 1452","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-7)*m\/m**(-2\/3))\/(m**(3\/8)*m*m**(2\/17)\/m) assuming m is positive.\nAnswer: m**(-2377\/408)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1134483 is divided by 3357.\nAnswer: 3174","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 8 = 5*y - 5, 0 = 4*i + 3*y + 25. Let h(n) = -135*n - 14 + 6 - 141*n + 271*n. What is the units digit of h(i)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 47950 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find w, given that -2*w**3\/9 - 320*w**2\/9 + 712*w = 0.\nAnswer: -178, 0, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 43*q**4 - 158823*q**3 - q**2 - q + 1500373?\nAnswer: 516*q**2 - 952938*q - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-7)\/x)\/x**(-3\/7)*x**8*x\/x**(3\/2)*x assuming x is positive.\nAnswer: x**(13\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 69 (b) 0 (c) 25\/71677\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 39*m + 190293 = 35*m, 0 = t - 3*m - 63421. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in j**2 + 2*j**2 + 44 - 3*j**2 + j**3 + 3*j**3.\nAnswer: 4*j**3 + 44","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -668 + 0*g**2 - 67*g**3 + 677 + g**2 - 3*g**2 wrt g.\nAnswer: -402","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1.641 and 13.1.\nAnswer: -21.4971","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((0*(-3)\/(-9))\/(-1))\/(-1). Let d = -1 + 16. Sort d, -4, t in decreasing order.\nAnswer: d, t, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d + 9 = d. Let x(n) be the first derivative of 3*n**2\/2 + n + 102. Give x(d).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -74\/13*u + 2\/13*u**3 + 0 - 72\/13*u**2 = 0. What is u?\nAnswer: -1, 0, 37","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0014835531 to five dps.\nAnswer: 0.00148","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*f - 43*f + 48893 + 306495. Is 44 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = n**2 + n + 1. Let i be u(-2). Let s = 25 - 25. Suppose -3*y = -s*v - 4*v + 45, -v = -3*y - 18. Solve -4*a = i*p - 3, 0 = -0*p - 5*p - 2*a - v for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -71110906.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.01281717 to two decimal places.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 35064\/16883 at least as big as 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -4*i - 2. Let a be d(-1). Let c = -26 + 29. Suppose c*x = 4*r - 782 + 136, a*r - 330 = -2*x. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 834 divided by -3?\nAnswer: -278","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*f**4 + 183321*f**3 + 3*f - 837200 wrt f.\nAnswer: 8*f**3 + 549963*f**2 + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -417*t + 512*t - 2755 = 0 for t.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 13289 (b) -2 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*-1*sqrt(68)*-2)\/(1*sqrt(4)*-2*1).\nAnswer: 6*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = -3 - 1. Let v(z) = -m*z - 3*z + 5*z. Let k(r) = -3*r**2. What is k(v(g))?\nAnswer: -12*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) be the third derivative of 1487*o**7\/42 - 8659*o**4\/24 + 10992*o**2. Find the second derivative of n(t) wrt t.\nAnswer: 89220*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -2*v**3 - 152*v**2 + 10*v + 734. Give c(-76).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-one halves of a litre in millilitres?\nAnswer: 25500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1777.005956 - -1777. What is u rounded to 4 dps?\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x = x - 28. What is the remainder when x is divided by 54\/(-12)*(-10)\/3?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -z**2 - 28*z + 84. Let q be f(-30). Suppose -3*o + 345 = -3*p, 0*p + 235 = 2*o - p. Calculate the highest common divisor of o and q.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (30\/(-180))\/((-30)\/(-300))?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 35986 - 0.3024\nAnswer: 35985.6976","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -q**2 - 4*q - 2. Let w be z(-2). Suppose 7*p - w*h = 2*p + 13, 3*p = -h - 1. Let k be ((-16)\/(-51))\/p + 16\/(-24). Is 0 > k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5218 + 5365. Solve 158*s - y*s - 66 = 0 for s.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000006266 rounded to six decimal places?\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 1.033 + -6.061\nAnswer: -5.028","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (12\/(-21))\/((-6)\/147). Suppose 0 = 3*x, 5*y - 2*x - 153 = 17. Let a = y - m. What is the units digit of a?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -10*k**2 + k - 2. What is o(2)?\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*i + 3*j - 13, -2*i = -5*j + 180 - 193 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 73?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 356 in -2\/5, -0.075, -1\/8?\nAnswer: -0.075","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1568 and 22442?\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8\/6*(-6 - 72\/(-16)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4740874, -9481755, -14222636, -18963517, -23704398?\nAnswer: -28445279","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = -4589 + 11321. Is h a multiple of 44?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 + 8 - 6 - -12?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -115 - -121. Let a be 3\/(-1)*h\/(-9). Solve 0 = -a*g - 2*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 108 = -a, -3*a = 3*r - 173 + 53. What is the remainder when r is divided by 22?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -69 or -0.282503?\nAnswer: -0.282503","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = 2*h - 5*f + 2, 4*h = -3*f + 36. Let d = 99 + h. Does 22 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 111810492?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -6210 less than or equal to -6212?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 881 or 889?\nAnswer: 889","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6514 divided by -635.\nAnswer: 6514\/635","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8360?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4*n**4*x**2 - 15008934*n**3 - 7194*n**2*x**2 - 723*x**2 wrt n?\nAnswer: 96*n*x**2 - 90053604","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(567)*-5 - (sqrt(4032) + (sqrt(4032) - -1*sqrt(4032))))\/(sqrt(36)*-1 - -2*sqrt(144)).\nAnswer: -13*sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5 + sqrt(162) + -3)*-4 - -1*sqrt(162)*1*-2)**2.\nAnswer: -3456*sqrt(2) + 6856","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (107\/(-4))\/(3\/24*-1). Let j = q + -265. Do j and -52 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*h**4 - 1212*h**3 + 1256*h**2 + 12192*h + 9728 = 0. What is h?\nAnswer: -304, -2, -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in c - 1 - 6 + 3.\nAnswer: c - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 5*k**2 + 88*k + 5. Let b(v) = 11*v**2 + 187*v + 11. Calculate 3*b(c) - 7*y(c).\nAnswer: -2*c**2 - 55*c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (21 + 3 - 8)*(-2*l + 3*l + 2*l)*(-1 - 2 + 5) + 1 + l - 1.\nAnswer: 97*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 63 and 46687?\nAnswer: 2941281","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*v + 18*v**3 + 38*v - 25*v.\nAnswer: 18*v**3 + 2*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is c in -237\/2*c**3 - 13\/2*c**5 + 53*c**4 - 10*c + 82*c**2 + 0 = 0?\nAnswer: 0, 2\/13, 1, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -24*k + 5*u + 1204, -159*k = -162*k + u + 149 for k.\nAnswer: 51","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34*l = 109*l. Let w be (2 + (-1 - 1))\/(-2). Let l + 4\/7*q**4 + w*q**2 - 4\/7*q**3 + 0*q = 0. What is q?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28 = -2*f - 24. Suppose 2*g + 5*j = -g + 1, -3 = -f*g - j. Solve t + g = 7 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) be the first derivative of 9 - 19\/2*x**2 - 18*x. What is the derivative of z(b) wrt b?\nAnswer: -19","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 4*s + 2. Let t(r) = 9*r + 5. Suppose 0 = 4*j + 4*d - 7 - 21, -j + d + 3 = 0. Suppose -4 + 12 = -4*v. Give j*a(k) + v*t(k).\nAnswer: 2*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 15 and 850?\nAnswer: 2550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 513.94 + 0.06. Let m = d - 513.6. Which is the third biggest value? (a) 7 (b) 16 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 362810?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: ((-100)\/(-80))\/(210\/(-1764))*56\/(-6)\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -3*c**2 - 34*c + 5369. Determine h(37).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 86890 by 1.\nAnswer: 86890","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 112030?\nAnswer: 2, 5, 17, 659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 300\/(-105)*(-14)\/(-4) - -1?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + ((2*-1*sqrt(300))\/(sqrt(25)\/sqrt(80)))\/((1*sqrt(1452) - sqrt(24)\/sqrt(2)*6)*-3).\nAnswer: 1 + 8*sqrt(5)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 198, 387, 576, 765, 954, 1143?\nAnswer: 1332","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 7*y**3 + 2*y**2 - y. Suppose 0*s + 4 = 4*s. Let x be a(s). Calculate the common denominator of -31\/12 and (-122)\/32 - (x - 8).\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(18)*-1*-5 + sqrt(18))\/((sqrt(240)\/sqrt(10) - sqrt(6)) + sqrt(6)))**2.\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1982 and 561570961?\nAnswer: 991","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 18060938409 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = i**3 - 7*i**2 - 15*i - 23. Let t be k(9). What is the third derivative of -9*n**t - 447*n**2 + 59*n**4 + 493*n**2 + n**3 wrt n?\nAnswer: 1200*n + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.13 - -3.87. Which is the nearest to 4? (a) -4 (b) k (c) -2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 56 and 134659.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 16873, 33640, 50223, 66532, 82477, 97968, 112915?\nAnswer: 127228","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 23 + -20. Suppose 6*f - y*f = 6. Sort f, 5, -8 in descending order.\nAnswer: 5, f, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -99\/2 + 52. Let u(y) = -3*y**2 - 2*y + 5. Let m be u(4). Let q = -207\/4 - m. Put -2\/3, j, q in increasing order.\nAnswer: q, -2\/3, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 5*g + 5. Suppose -3 = -n + 2. Let w be x(n). Suppose -4*a - 17 = -3*d, 0*d = -5*d + 5*a + w. What is the units digit of d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 84 is divided by 13.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 430 minutes after 12:57 AM?\nAnswer: 8:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 6325*r - 6231*r - 4042 for r.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 85427 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 37278258.\nAnswer: 2, 3, 6213043","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qlllqllllll. Give prob of sequence qq.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 560, 1108, 1658, 2210, 2764, 3320, 3878?\n\"Answer: g**2 + 545*g + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*s**2\/4 - 717*s\/4 - 6939\/2.\nAnswer: 3*(s - 257)*(s + 18)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -v**3 - 20*v**2 + 39*v - 102. Calculate l(-22).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 64516*p**4 + 903732*p**3 + 3168397*p**2 + 24906*p + 49.\nAnswer: (p + 7)**2*(254*p + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 3 - (4 + -4)*1. Suppose -5*r = 15, 5*r + 2509 = s*g - 15506. What is g rounded to the nearest one thousand?\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y = 22*y - 27208. Let j(p) = 1432*p + 9*p**2 - y*p. Let u(r) = -3*r**2. Determine u(j(b)).\nAnswer: -243*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -25*i**4 - 26*i**3 - 1825*i?\nAnswer: -300*i**2 - 156*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = y + 1. Let c(u) be the third derivative of -3*u**4\/8 - 3*u**2. Let j(x) = c(x) + 2*p(x). What are the prime factors of j(-3)?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*p**3 + 12*p**2 + 54*p.\nAnswer: -2*p*(p - 9)*(p + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 = -o - 5*m, 4 = -0*o + 2*o + 2*m for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.84 - -0.51. Let j = 0.53 + m. Which is the nearest to -7? (a) j (b) 2 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -9*a**2 + 0*a**3 + 2 - 14 - a**3. Let u be j(-9). Let c = 27 + u. Does 8 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 5 + 52729?\nAnswer: 52734","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 5*b + 4 = -i, 4*i - 2*b - 24 = 0. Let c = -10 + i. What is the closest to -1\/6 in 3, 0.5, c?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*k - 20 = -k for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1791 - 1792. Is 4\/363 equal to b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rrrrrreeeererreerrr. What is prob of picking 3 e and 1 r?\nAnswer: 35\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i = -2*r + r, 3*r = 2*i. Suppose 3*a + 2*y - 5 = -0*a, 2*a + 4*y - 14 = r. What is the units digit of (4\/6 - a)*33?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(-1*sqrt(78) - sqrt(78)) - sqrt(78))\/(sqrt(6) + (2*sqrt(66))\/sqrt(11)).\nAnswer: -3*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.2 greater than 48\/215?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*t + 29*t + 2*y = 10*y - 22, 0 = -3*y + 12 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (22\/209)\/(10\/(-475)*-5).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1458 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 34a + -6f26?\nAnswer: -6bdc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - 3*l + 9*l = 24, 0 = v + 4*l - 23. Which is the closest to 6? (a) -5 (b) v (c) -0.5 (d) 2\/31\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find d, given that -94\/5*d + 1\/5*d**2 - 120 = 0.\nAnswer: -6, 100","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -815093 - -0.7334847\nAnswer: -815092.2665153","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 8*c**3 - 33*c**2 - 25*c - 24. Let n(h) = 3*h**3 - 12*h**2 - 9*h - 8. Calculate -4*m(u) + 11*n(u).\nAnswer: u**3 + u + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -2 + -5 + (-4 - (-18 - -7)) + 6\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 664586197 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: Let w be ((-6)\/9)\/((-4)\/24). Suppose 1 = o + j + 2, j + 11 = w*o. Let c(s) = 6*s + 2*s**2 - 8*s**o + 6*s**2 - s**2. Give c(5).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t = 5, 0*w - 4*w = -5*t + 5. Solve w = -0*u - u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*m = 64 + 36 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 2*q**2 - 18*q + 46. Let d be s(10). Suppose -2*f + d = -70. What is the units digit of f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17423104073 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 100 and 2580?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -111*y**3 + 23204*y + 19238551 wrt y?\nAnswer: -333*y**2 + 23204","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 32 = 3*r - 0*r, 4*t - 20 = 0. What is the lowest common multiple of ((-12)\/10)\/(4\/(-20)) and r?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1.8 + -1.6. Let z = c - -3.426. What is z rounded to two dps?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3132233311 (base 4) to base 9\nAnswer: -1640477","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1716 a multiple of 97?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 240 and 45?\nAnswer: 720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 0 + 0 - 360*a + 260*a.\nAnswer: -100*a - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(3\/5))**(-9\/4)*(h*h**(9\/4))\/(h**(-14)\/h) assuming h is positive.\nAnswer: h**(169\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:39 PM and 5:43 PM?\nAnswer: 184","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -14.5 + -119.5. Let s = d - -131. What is the closest to -0.07 in -2, s, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (0 - -138)*(3\/12)\/1 and 97*(-5)\/(-200) + -1?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-62)\/(-3))\/((-4)\/18). Let x = -2777 + k. Let g = 4381 + x. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine m, given that -2*m**5 - 504*m**4 - 27868*m**3 + 511816*m**2 + 1105230*m + 566048 = 0.\nAnswer: -133, -1, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -231*-1*2\/6. Let w(q) = 11*q**2 - 3*q. Let m(p) = 286*p**2 - 77*p. Let d(f) = i*w(f) - 3*m(f). Let u(x) = -2*x**2. Give u(d(y)).\nAnswer: -242*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1985, 1987, 1991, 1997, 2005, 2015, 2027?\nAnswer: 2041","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1821 to the power of 1\/2, to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 14901 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mxxmkfm. Give prob of sequence fxk.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f + 3*t - 22 = -78, 4*f - 2*t - 4 = 0 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 345707 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -99*s = -220*s + 27688309. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 9 and 116?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find m such that -4*m**3\/5 + 749528*m**2\/5 - 35286746404*m\/5 + 16350442709328\/5 = 0.\nAnswer: 468, 93457","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 13464 - 5?\nAnswer: 13457","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = p, -5*b + 5*p = 4 + 21. Sort b, 2, -825, -2 in ascending order.\nAnswer: -825, b, -2, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:40 AM and 12:57 PM?\nAnswer: 77","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3 + 3. Suppose -u - 4*u + 10 = l. Suppose -4*v + 0*k - 2*k = -150, u*k - 110 = -3*v. Solve -4*b + 4*r - 35 = -b, -3*r = -5*b - v for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 674196 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x - 3*x + 3*y = -30, -3*y - 24 = -2*x. Let z(f) = -f**2 + 8*f - 8. Let i be z(x). Solve i*o + 3*t + 0*t = 0, -5*t + 5 = 5*o for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 783.9137*1\nAnswer: 783.9137","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -7 or -1\/191?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1989?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 411*r = 404*r + 49. Solve 5*a + 4*d = -41, 0 = 5*a - 2*d + 24 - r for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 p when two letters picked without replacement from bpppjffppbjfppfbf?\nAnswer: 21\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o*o**(-23))\/o*o\/((o\/((o*o\/(((o**(2\/19)*o)\/o)\/o)*o)\/o))\/o*o) assuming o is positive.\nAnswer: o**(-363\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 99 is divided by 31?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 51 and 58.\nAnswer: 2958","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 2671 + 63\nAnswer: 2734","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 916 to the power of 1\/2, to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 708607 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.001304732 to 6 decimal places.\nAnswer: 0.001305","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-18 - (-320)\/18)\/((-2)\/9).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0 + 1. Suppose 0*a = 2*a - 6. Let u be a*(-2 + (0 - -5)). What is the highest common factor of u and j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o - 14 = -4*d, 0 = 2*d - 16*o + 12*o for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Determine t so that 19\/8*t**3 - 195\/8*t - 25\/4 + 3\/8*t**4 - 129\/8*t**2 = 0.\nAnswer: -10, -1, -1\/3, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -397*x + 2 + 350*x**2 + 341*x**2 - 924*x - 285*x**2 + 366*x**2 wrt x?\nAnswer: 1544","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 115 and 230.\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7856227?\nAnswer: 17, 462131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5442 + -5445. Let y = -3 + 4. Let v(m) = -m. Let w(r) = -2*r. Let i(d) = 3*v(d) - w(d). Let k(c) = -3*c**2 - 4*c. Calculate n*i(u) + y*k(u).\nAnswer: -3*u**2 - u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) be the second derivative of f**6\/60 + f**5\/40 - 3*f**4\/8 + 11*f**3\/12 - f**2 + 32*f. Let x(z) = 0. What is z?\nAnswer: -4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 6678, 13104, 19530, 25956, 32382?\n\"Answer: 6426*z + 252","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -6*k + 33. Determine y(6).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -20332 + 1132302?\nAnswer: 1111310","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 44890926?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 5*x - 20 = 0. Suppose s - 22 = -5*u + 4*s, -4*u + 3*s + x = 0. Suppose 2\/9*g**3 + 16\/9*g + 8\/9 + 10\/9*g**u = 0. What is g?\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.46433 + -0.37068. Round x to three dps.\nAnswer: 0.094","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 158, 130, 90, 32, -50, -162?\nAnswer: -310","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 times -22.131?\nAnswer: -199.179","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = v**3 + 9*v**2 + 9*v + 13. Let h be z(-8). Let n be 21\/h - 12\/(-15). Suppose -3*i - 2*j = -21, 7 = n*j - 8. Solve 0*m = -i*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = w. Let i(c) = 5*c - 6. Let k(f) = -8*f + 10. Let h(y) = y - 1. Let l(g) = 3*h(g) - k(g). Let v(n) = 13*i(n) - 6*l(n). Determine t(v(u)).\nAnswer: -u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*((0 + sqrt(19) + 5 + -3)*3 - (-2*sqrt(95)*-4)\/(sqrt(180)*-1 - sqrt(5))))**2 + 0.\nAnswer: 348*sqrt(19)\/7 + 17743\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 106161 is divided by 2793?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-32)\/52*(-7)\/28.\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -498*n*p**3*u**2 - 61*n*p**3 + 2*n*p - n*u + 2*n + p**3*u wrt u.\nAnswer: -996*n*p**3*u - n + p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) be the third derivative of 5*w**8\/672 - 11*w**7\/28 - w**6\/48 + 11*w**5\/8 - w**2 + 12. Determine a, given that n(a) = 0.\nAnswer: -1, 0, 1, 33","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t\/(t**(-7)\/t))\/(t*t\/(t\/t**2)))\/((t\/(t**(-3\/2)*t))\/(t**(-1\/4)\/t)))**1 assuming t is positive.\nAnswer: t**(13\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 5959 and 202?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-18 - -17) + 1*-89. Let t = v - -349. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 43505 to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -8*d + 4. Let q(x) = 3*x + 1. Let n(w) = -4*w. Let z(o) = -4*n(o) - 3*q(o). What is 5*y(t) + 6*z(t)?\nAnswer: 2*t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1013 + 172?\nAnswer: 1185","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 182 a factor of 7431412?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 80475.\nAnswer: 3, 5, 29, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 40878236?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -522506 - -3?\nAnswer: -522503","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5074808983?\nAnswer: 5074808983","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = y**3 - 16*y**2 - 11*y + 23. Let z be l(18). Let s = 7093\/15 - z. What is the nearest to 2\/9 in s, -4, -1\/6, -1?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ggy when three letters picked without replacement from xxgxxyyxxxgxxyxyxg?\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -t**2. Let y(n) = -4*n**2 - 5 - 3*n**2 + 3*n**2 + 2*n**2. Let b(d) = -a(d) + y(d). What is the derivative of b(w) wrt w?\nAnswer: -2*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-2\/13)\/(z\/z**(-2\/3)))**(-22\/9)\/((((z**(3\/7)*z)\/z)\/z*z**(-6))\/(z\/(z\/(z\/(z**(-1\/3)*z))))**(18\/13)) assuming z is positive.\nAnswer: z**(28214\/2457)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 17085, 34146, 51221, 68316, 85437, 102590, 119781?\n\"Answer: d**3 + d**2 + 17051*d + 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1.2? (a) 0.14 (b) -0.16 (c) 4\/3 (d) -276\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 42\/224*-8*8\/6.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-46)\/(-207)*(-45)\/80?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 3 + 4 - 19*i**2 + 11 - 19*i - i**3. Is a(-19) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - (-6 - -8) - 2 - -2.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 18545683 by 11233.\nAnswer: 1651","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 630 minutes after 9:02 PM?\nAnswer: 7:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 151463305 a multiple of 305?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 482.07 - 480. Let s = k + 0.03. Let j = s - 2. Which is the nearest to j? (a) -3\/8 (b) 0.4 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 152*j + 11 = 150*j + 5*d, -2*j = 15*d - 49 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 333\/(-1080) - (-5)\/25 and -62\/21.\nAnswer: 840","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 4314 - 14740 = -4*p, 19045 = 2*k + p. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -a**3*o*y**2 - a**3*y**2 + 1767*a**2*o*y**2 - 248*y**2 wrt o.\nAnswer: -a**3*y**2 + 1767*a**2*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*z**2 - 141*z - 35 = 0. Calculate z.\nAnswer: -35, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1 + -9)*(-82)\/(-164). Let y(s) = -6*s**2 - 11*s - 7. Let h(a) = -7*a**2 - 12*a - 8. Let g(d) = 5*h(d) - 6*y(d). Give g(k).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4540514 is divided by 213.\nAnswer: 206","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 12 + -1. Suppose 168 = -l*h + 15*h. Let i = 14 + h. Is i a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -410, -413, -416?\nAnswer: -419","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 8533*t**3 + 152*t**2 + 9*t + 222. Let p(a) = a**3 - 30*a**2 - 2*a - 1. Let d(h) = g(h) + 5*p(h). What is the third derivative of d(w) wrt w?\nAnswer: 51228","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 2142.039 nanometers?\nAnswer: 0.0002142039","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*r + 33 - 108. What is the units digit of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -62 + 14 = -2*q. Suppose -2*y = -q - 46. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1453?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (5*(2*sqrt(104) + sqrt(104) + sqrt(104) - sqrt(104)))\/(sqrt(8) + 1*sqrt(288)).\nAnswer: -2 + 15*sqrt(13)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 503726614, 503726612, 503726610, 503726608, 503726606?\nAnswer: 503726604","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) be the second derivative of 2*g**6\/45 + 7*g**5\/15 - 20*g**4\/9 - 88*g**3\/3 + 96*g**2 - g - 28. Factor v(a).\nAnswer: 4*(a - 4)*(a - 1)*(a + 6)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(1\/11)*m**(-4\/3)\/m*m*m)**44)**47 assuming m is positive.\nAnswer: m**(-1504\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 5176 - 31156?\nAnswer: -23760","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 1 f when two letters picked without replacement from yyfyyyuuuffuuyyf.\nAnswer: 7\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d - 2 = -7, d - 17 = 4*x. Let w be (-9)\/x*(-8 - -2)*2. Let t(o) = -4*o - 70. What is the units digit of t(w)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.56 + -11.04. Let h = 17011 + -16999.451. Let y = h + a. Round y to two dps.\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -4\/3, 3, 5, 22\/27?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, 5, 1 in decreasing order.\nAnswer: 5, 1, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -4*y**3 - 177*y**2 + 296*y + 21970. Give q(-43).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -561, -2\/43, -0.4, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 30 and 16.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.3, 5\/4, -3, -0.2, 14\/53, -1 in ascending order.\nAnswer: -3, -1, -0.2, 14\/53, 0.3, 5\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 1472744 = -404744. Round q to the nearest 10000.\nAnswer: 360000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 94 = 2*d + 92. Let x(g) = -2 - 12 + 6 + d + 6 + 9*g. Determine x(1).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1802, -3607, -5412, -7217, -9022?\nAnswer: -10827","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) be the second derivative of 0*v**2 - 2*v + 1\/6*v**3 + 0. Let r(n) = -2*n. Let g(z) = z. Let s(w) = -7*g(w) - 6*r(w). What is l(s(k))?\nAnswer: 5*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m - 3*q + 21 = -4*m, 2*m = -3*q - 15. Let o be 1034\/(-55)*(m + 1). Suppose 0 = -5*s + o + 1. Calculate the greatest common factor of 190 and s.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 41491 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 542?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 29.02 * -4\nAnswer: -116.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = -655 + 635. Suppose -n = -5*u, 25*j = 21*j - 2*u + 88. What is the highest common factor of j and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 10 - 7. Let h = 3 - 1. Let x = o + h. Calculate the highest common factor of 20 and x.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from svszvyv. Give prob of sequence yss.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1986*d**4 + 2*d**2 - 155196*d?\nAnswer: -23832*d**2 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t = 4*t - 489. Suppose 0 = 2*p + 31 - t. Let i = p + -61. Solve -5*k + i = -0*k for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3180 divided by 15?\nAnswer: 212","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x*x*x*(x\/x**(-2\/33)*x*x)\/x*x*x)\/(x\/(((x**(-7)\/x)\/x)\/x)))\/((x**(1\/17)*x)\/(x*x*x**(-21))))**(-17) assuming x is positive.\nAnswer: x**(13463\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c, 1 x, and 1 r when four letters picked without replacement from xrcrxrxrcrxccrccr.\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*t + 10*t + t + 5*t as r*t + x and give r.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 257364273 is divided by 39.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 2 = -o, -2*f - 2*o - 2 = -7*f. Suppose 10 = 4*c - f. Let r(i) = -i**2 + 3*i + 5. Let g be r(4). Calculate the highest common divisor of c and g.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2345*h + 51*h**4 - 158*h + 2*h**2 - 785*h - 549*h - 18*h**5 + 139*h wrt h?\nAnswer: -1080*h**2 + 1224*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dduuxqdudududdqququu. What is prob of sequence uuxd?\nAnswer: 49\/14535","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -1118*n - 16. Let m(i) = 1127*i + 19. Calculate -6*l(a) - 5*m(a).\nAnswer: 1073*a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) be the first derivative of l**7\/21 - l**4\/12 + 3*l + 2. Let n(b) be the first derivative of v(b). Find the third derivative of n(m) wrt m.\nAnswer: 120*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1417*t**5 + 29*t**4 - t**2 + 2*t + 55310 wrt t.\nAnswer: -28340*t**3 + 348*t**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -55 and 18502.48.\nAnswer: -1017636.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -671, -2763, -6241, -11105?\nAnswer: -17355","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) be the second derivative of f**7\/504 - 7*f**6\/144 + 3*f**4\/2 + 36*f. Let w(k) be the third derivative of q(k). Determine d so that w(d) = 0.\nAnswer: 0, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 18382 + -18388.041. Round i to the nearest integer.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + 74 = 5*l, -4*l + 89 = l + 3*k. Let c = 6 + l. Suppose j - 23 - c = 0. What is the tens digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i - 22 = -28. Let m(g) be the first derivative of 5\/2*g**i + 2*g + 12 - g**3. Determine d so that m(d) = 0.\nAnswer: -1\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -285 by -5.\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21 is divided by 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 4, -2, -11.\nAnswer: -11, -2, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1231?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 2945922?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5675 is divided by (-51)\/(-4)*((-56)\/12 - (-24 - -18))?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (8\/(-1) - -223) + 10. Calculate the highest common factor of 135 and g.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -51*j + 105*j = 16*j - 38 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-13)\/(364\/(-72)))\/(42\/98). Let i(x) = 11*x**3 + 5*x - 6. Let c(g) = 12*g**3 + 6*g - 7. Give l*i(t) - 5*c(t).\nAnswer: 6*t**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 - -450470.3\nAnswer: 450470.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 4*u - 3 = 0, 3*g + 5*u - u - 9 = 0. Let o be (5\/g)\/((-4)\/(-96)). Suppose -5*r - o + 105 = 0. Calculate the remainder when 25 is divided by r.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5144741 * -7.\nAnswer: -36013187","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 30312132 + 2?\nAnswer: 30312134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 (base 10) in base 11?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*c - 5*y + 28, 3*c = 5*y - 8 - 6. Let s be (c + 0)*-1 - -8. Suppose -5*u = -s - 14. What is the highest common factor of 12 and u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zzzzzzzzzzzzzzhzzh. Give prob of sequence hh.\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1 + 178532?\nAnswer: 178531","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 36107097 bigger than 36107080?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2593919 to the nearest integer?\nAnswer: 137","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 7232.2 to the nearest 1000.\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, -10, 5.\nAnswer: -10, 5, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -2.9 times 838.15\nAnswer: -2430.635","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12 (base 15) to base 10.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((j\/(j**17*j*j))\/j)\/(j*j\/(j**(-2\/43)\/j)))\/(j**21\/(j\/(j\/(((j*(j*j**26)\/j*j)\/j)\/j)))))**(-4\/21) assuming j is positive.\nAnswer: j**(2932\/903)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -a**2 + a - 22. What is d(0)?\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:00 AM and 7:46 PM?\nAnswer: 526","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**(-2\/97)\/(s**7\/s) assuming s is positive.\nAnswer: s**(-584\/97)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -52*j + 1113. Determine u(20).\nAnswer: 73","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*d - 4*s - 22, -s - 2 = s. Suppose 0*f = -3*f + d. Find the third derivative of -10*x**2 - f*x**6 + 18*x**2 - 3*x**2 wrt x.\nAnswer: -240*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 2*b**2. Suppose 0 = 2*c - 3*f + 37 - 177, f = 4*c - 290. Let o(g) = 4*g**2 - 152*g + 79*g + c*g. Determine o(z(u)).\nAnswer: 16*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -0.63522 or -3.78?\nAnswer: -0.63522","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -26.4 - -245.4. Let f = -178 + x. Is f smaller than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -c + 2. Suppose 0 = 2*u - 209 - 39. Let k = u + -118. Let g(m) = -1. Give k*g(v) + r(v).\nAnswer: -v - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express 55*c + 93*c + 73*c - 22*c as j*c + a and give j.\nAnswer: 199","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -460\/7 - -66. Let j = -0.2 + -2.8. Let m = -2.5 - j. What is the closest to -1 in o, 3\/4, m?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19038 is divided by 33?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*o - 2*o + 11 - 11*o - o - 5*o as p*o + l and give p.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*s + 64 = 3*s. Let w(n) = 34*n**2 + n - 19. Let g(d) = -69*d**2 - 2*d + 39. Let p(y) = s*g(y) + 9*w(y). Find the second derivative of p(u) wrt u.\nAnswer: 60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) be the second derivative of -j**6\/95 + 2*j**5\/95 + 14*j**4\/57 + 16*j**3\/57 - 352*j. Determine b so that o(b) = 0.\nAnswer: -2, -2\/3, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*c**4 + 129*c**3 + 0 - 129*c**3 + c**2 - 27*c**2 + 1 in the form m*c**2 + q*c**4 + y + u*c + k*c**3 and give m.\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2603*n - 21*n**2 + 75*n**2 - 2605*n.\nAnswer: 54*n**2 - 2*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1073*c + 1061*c + 228 = 0. What is the remainder when 548 is divided by c?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.055 + -1.545. Let o = -0.51 + x. What is the closest to 1 in -4, o, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 978082.\nAnswer: 2, 7, 19, 3677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 53.8074 micrometers?\nAnswer: 0.0000000538074","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 1 u when two letters picked without replacement from {u: 1, s: 1, o: 1, k: 1, y: 2, e: 2}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(98) - (sqrt(98) - (sqrt(98) + -2))) + (sqrt(98) - sqrt(98)*5))*-2)**2 + 2.\nAnswer: 336*sqrt(2) + 3546","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2620 + 1052 = -34*u. Calculate the smallest common multiple of 56 and (-1104)\/u + (-6)\/27.\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*t**3 - 616032*t - 7*t**3 - 12*t**3 + 616030*t.\nAnswer: -15*t**3 - 2*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 171\/(-21) - (0 + -2)\/14. Let f be (-48)\/(-40)*(-2)\/r*50. Suppose t + v = -0*t + 135, -5*v = -f. Is 20 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 9872660 and 485?\nAnswer: 485","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:42 AM and 6:11 AM?\nAnswer: 89","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 465306.1 days in milliseconds?\nAnswer: 40202447040000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 228\/(-72)*(-4 + 10 + 240\/(-32))?\nAnswer: 19\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6*6\/297*(-216)\/(-48).\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = h**3 + 7*h**2 + 6*h + 4. Let k be u(-6). Suppose 0 = -k*q - 5 - 11, -4*q - 12 = f. Let c(g) = -g**3 + 3*g**2 + 2*g + 1. What is c(f)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine s, given that -2*s**3 + 3306*s**2 + 269882*s + 266574 = 0.\nAnswer: -77, -1, 1731","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 92599 to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-5)\/20 - 7\/4. Let a be 7 - (6 - (p - -4)). Suppose 0 = a*j - 13*j + 890. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 660 to the power of 1\/2, to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mmda when four letters picked without replacement from {d: 1, m: 2, a: 1}.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 125a333 (base 12) to base 11\nAnswer: 2042605","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 0 + -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -14440*j + 389878. Calculate r(27).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -15 + -f4c45?\nAnswer: -f4c5a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -11*l. Let s(n) be the second derivative of n**4\/3 - n**2\/2 - 870*n. What is s(b(m))?\nAnswer: 484*m**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + (0 + -13 - (-175 - -186))?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 228 divide 1622225?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -2*h - 2440. Let t(v) = -1. Calculate k(y) - 6*t(y).\nAnswer: -2*y - 2434","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*d = -286 + 3070. Suppose d*w - 2640 = 90*w. Is w a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*z + 91 = 77. Let c(r) = 2*r**2 - 6*r + 8. Let x be c(z). Solve -3*a + 23 = -6*a + 4*g, 2*g - x = 0 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -16 - -24. Let y(a) = a**2 + 3*a. Let q be y(-3). What is the smallest common multiple of 8 - 1 - (-1 - q) and z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.12 + -0.47. Let s = o - -0.34999864. What is s rounded to seven decimal places?\nAnswer: -0.0000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 3*i**3 - 1925*i**2 + 113985*i - 191. What is y(66)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-2)\/13 + (-7)\/182*-3826?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.7 - -0.3. Let m = 0 + v. Let u be 1 - 11\/12 - (-31)\/186. Put u, -4\/3, m in descending order.\nAnswer: m, u, -4\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 16381 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000015331 to six decimal places.\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -8*y - 3*y**3 + y**3 + 7*y wrt y?\nAnswer: -12*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-seven fifths of a meter in millimeters?\nAnswer: 7400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 3, 5, -3, 0, 1, 91 in descending order.\nAnswer: 91, 5, 3, 1, 0, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Let u be (44*6\/240)\/((-4)\/(-90)). Let l = u + -93\/4. Factor l*w**3 + 3*w**2 + 3\/2*w + 0.\nAnswer: 3*w*(w + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -91\/192 and 77\/44592.\nAnswer: 178368","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3 + 1. Let k be (-3)\/(-3) + (g - 0). Which is smaller: k or -1\/29?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 2897621 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 644 (b) 5 (c) 0.5 (d) -4 (e) -3\/7 (f) 9\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4135.\nAnswer: 5, 827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0 (b) -2\/3 (c) -5 (d) -0.4 (e) -70\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.05799977 + -0.058. What is i rounded to seven dps?\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/3 in -5, 13.98, -0.5, 2\/13?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:41 AM and 9:03 AM?\nAnswer: 82","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**0*i*i\/i**(-7\/6))\/((i*i*i*i\/i**(-22))\/((i*i**(-19)*i)\/i)) assuming i is positive.\nAnswer: i**(-245\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*a**2 + 2*a**2 - 4*a**2 + 11*a**2 as y + j*a**2 + n*a and give j.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 158*y**2 - 273*y**2 - 166*y**3 - y + y + 110*y**2 to u*y**3 + w*y**2 + i + m*y and give w.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 237684.9703 take away 0.1279?\nAnswer: 237684.8424","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3774, 2\/21, 0.06, 0.2, 1 in decreasing order.\nAnswer: 1, 0.2, 2\/21, 0.06, -0.3774","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 898 is divided by 29?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 26 + (-4 - 9 - 45\/27*-6).\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -2*l**2. Let u(t) be the second derivative of -t**3\/3 + 8*t. Determine v(u(a)).\nAnswer: -8*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = k**2 - 3*k. Let l(p) = 2*p**2 - 7*p. Suppose -7*o + 5*o - 2 = -5*w, -4*o + 2*w = -12. Let b(r) = o*l(r) - 10*h(r). Let b(s) = 0. What is s?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0006492603531 to 4 decimal places.\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 61 = 4*f, -4*g + 36 = 4*f - 8*g. Calculate the lowest common multiple of f and ((-8)\/3)\/(424\/(-318)).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 324 divided by -4\nAnswer: -81","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 10\/25 + (-34)\/10\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5095 divided by -38770?\nAnswer: 1019\/7754","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 + 4 - -11 - (-2812)\/(-148).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -2326?\nAnswer: -2326","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = o. Let f(t) = t**2 + 2*t - 2. Let a(d) = -d**2 - 3*d + 3. Let n(r) = 2*a(r) + 3*f(r). Calculate n(v(z)).\nAnswer: z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000498233 rounded to 7 dps?\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 181 - 106. Suppose 4*t = 89 + r. List the prime factors of t.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -89 - (-20 + (36 - 17) + -9 - (7 - 5)).\nAnswer: -77","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 6*k - 7. Let v(z) = -23*z + 30. What is 9*a(h) + 2*v(h)?\nAnswer: 8*h - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -242.6 times -0.43?\nAnswer: 104.318","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9*o**3 + 3*o**2 + 32 + 0*o**2 - 32 to u*o + r*o**3 + p*o**2 + s and give p.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = h**3 - 4*h**2 + 2*h - 1. Let v be i(2). Let l(d) = 6 + 5*d - 3 - 3*d + 3*d + d**2 + 3. Calculate the remainder when l(v) is divided by 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -26*h**3 - 6*h**2 + h - 79. Is c(-8) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -69*h + 1. Let z(n) = 9*n + 7*n + n**3 - 17*n - 11 - 10*n**2 - 2*n**3. Let r be z(-10). What is the units digit of s(r)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 1 + 1)*(-6*r**2 + r**2 + 0*r**2)*(-704*r**2 + 190*r**2 + 1858*r**2).\nAnswer: 6720*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) be the second derivative of -h**5\/60 - h**4\/3 + 7*h**3\/6 - h**2\/2 - h. Let j(b) be the first derivative of v(b). What is the units digit of j(-8)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2)\/(-12) - 3\/18. Let n(m) = m**3 - m**2 - m + 2. Let u be n(l). Let d(x) = -10*x**u + x**2 + 4*x**2 + 3*x**2. Let a(r) = -2*r**2. Give d(a(s)).\nAnswer: -8*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 11147375, 11147373, 11147371, 11147369?\nAnswer: 11147367","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = p - 187 + 122. Calculate the greatest common factor of 13 and p.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -2*i. Let u(l) = 2281*l**2 + 3*l - 2. Calculate u(m(j)).\nAnswer: 9124*j**2 - 6*j - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5 + -3. Suppose o = -j - 1. Let g(i) = -i**2 - 4*i + 1. What is g(j)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 215051?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/(b**(-17)\/b)*b**(-13)*(b\/((b\/((b*b\/(b*b*b*b*b**1\/b))\/b*b*b))\/b*b))\/(b**(2\/25)\/b))**(-3\/20) assuming b is positive.\nAnswer: b**(-111\/125)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 740466.091 to the nearest one hundred thousand.\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -10 - -147184?\nAnswer: 147174","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 241656 is divided by 60403.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2)\/5*(-20)\/(-6). Let p = -19741\/86 + 459\/2. Which is the nearest to 0.1? (a) p (b) 2\/23 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor y**2\/7 - y + 10\/7.\nAnswer: (y - 5)*(y - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 82314 and 748.\nAnswer: 1810908","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 15 + -18. Let t be (-20)\/(-32) - d\/(-12). Put 1, t, -0.1 in descending order.\nAnswer: 1, t, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0\/(9 + -14) - (-22 + 0).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 77752526 to the nearest integer?\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -411 times -116?\nAnswer: 47676","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -5*r + 5*g, -r + 5*g = 3*r + 12. Let z(x) = 4*x**r - 4 - x**2 + 7*x - 4*x**2. Suppose 3*b - 23 + 4 = 2*t, 0 = -2*b - 3*t + 4. Give z(b).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5283*l - 2994*l - 5975*l + 1881264 = 0 for l.\nAnswer: 132","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.11 + 0.07. Let f = -0.09 + p. Let s = -20 - -18. Which is the biggest value? (a) s (b) 0.5 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -i**2 + 12*i - 4. Let r be x(12). Which is the nearest to 0.1? (a) -1 (b) -0.1 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -1 and 459.51.\nAnswer: 458.51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -307 (b) -2\/13 (c) 7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ysc when three letters picked without replacement from {b: 1, s: 6, x: 1, f: 1, c: 3, y: 1}.\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 894044932 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 36994898?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1723 to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2 - -2.4. Let o = -21.3 + 21. Sort o, 2, i.\nAnswer: o, i, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2692, -5418, -8128, -10816, -13476, -16102?\nAnswer: -18688","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:00 PM and 10:38 PM?\nAnswer: 398","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/3? (a) 0.189 (b) 0.02 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 2\/1*(-10)\/(-30)*-3\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 1\/4 of a kilogram?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1022119758.\nAnswer: 2, 3, 11, 5162221","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4500 and 29340?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o when two letters picked without replacement from iwoieywowywu.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 39364931?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (-58*q - 56*q - 5 + 112*q)*(4 + 5*q - 4) as r*q**2 + l + v*q and give r.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*c - 5122 = 7198. Calculate the highest common factor of 7 and c.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 124 - 117. Let u(l) = -l**2 + 10*l - 6. Let y be u(5). Suppose a - y = 3*i. Let q(n) = n**2 + 2*n - 5. Calculate q(i).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2887588*f**2*y - 270640*f*y + 3*f - 2*y wrt f.\nAnswer: -5775176*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.4 in -0.22, -2, -0.07, 2, -4?\nAnswer: -0.22","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = v - 0*v + 4. Let n = -2 + 1. Let j = n + 0.9. What is the nearest to j in v, 2\/3, -1\/9?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 9776 and 1034?\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2.515134 + -271.539214. Let c = 269 + y. Round c to three decimal places.\nAnswer: -0.024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1432 to the power of 1\/2, to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) be the second derivative of 127*f**8\/56 + 2*f**5\/5 + f**4\/6 + 823*f**2 + 135*f - 9. Find the third derivative of u(w) wrt w.\nAnswer: 15240*w**3 + 48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 344, 345, 354, 377, 420, 489, 590, 729?\nAnswer: 912","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -2*c + 1. Let r(h) = -3*h + 2. Let u(d) = -d. Let a be (-220)\/(-50) + (-4)\/10. Let o(b) = a*u(b) - r(b). Let x be o(0). Calculate l(x).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -20*t + 22*t - 50. Calculate the remainder when 74 is divided by t.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -1 - (2 + (-2 - 0)). Let r be 1 + p + (-3 - -26). Solve -5*t + 3*q + r = -t, 5*t + 5 = -3*q for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -3*h + 137. What is j(53)?\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t = 37 + 31. What is the remainder when 59 is divided by t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 449.6 - 382. Let q = j + -67. Round q to the nearest integer.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = n - 4. Let q(r) = -2 + 2*r**2 + 3*r + 3*r - 3*r**n. What is the least common multiple of 5 and q(3)?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 158 and 1216134374?\nAnswer: 158","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -3\/4 (b) -3 (c) -5718 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2\/175 (b) -1\/4 (c) -12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -71 - -782\/11. Sort -0.07, -0.4, w in decreasing order.\nAnswer: w, -0.07, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine r, given that 4*r**2\/5 - 7503496*r\/5 - 1500700 = 0.\nAnswer: -1, 1875875","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 3*m**2 - 3*m + 5. What is a(4)?\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 1270*n + 691. Calculate m(-2).\nAnswer: -1849","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (9\/6)\/(3\/8). Let z = 12 - y. What are the prime factors of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/5? (a) -0.22 (b) -0.3 (c) 1\/6 (d) -10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -13a4a9 (base 12) to base 14.\nAnswer: -87c9b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 20940136?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 8 = -b, b = -4*b + 3*i - 50. Sort b, -4, -2 in decreasing order.\nAnswer: -2, -4, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 54503, 54502, 54501, 54500?\n\"Answer: -p + 54504","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 2, v: 7, a: 7}. What is prob of picking 1 v and 2 x?\nAnswer: 1\/80","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) be the third derivative of b**6\/120 - b**5\/60 - b**4\/24 + b**3\/6 - 9*b**2. Determine k, given that w(k) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -5731*w + 5. Suppose -25 = 5*r - 0*r, 2*n + 29 = -5*r. Is k(n) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 3*m**3 - 2*m + 1. Let y be z(1). Suppose -5*n = -y - 43. Calculate the highest common factor of 36 and n.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*x - 3*x - 10 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -13 + 29. Let m = 1099 - 955. What is the greatest common factor of m and a?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -520 = t - 513, t - 1 = -4*q. Let j be (2\/(-4))\/(3\/42). Let g = -4 - j. Solve g*n = q*n - 1 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 12251272, 24502544, 36753816?\nAnswer: 49005088","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-3)\/(-2)*32\/24. Solve -g - 4 = 2*w for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6 - 27*j - 18*j + 7.\nAnswer: -45*j + 13","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 - 11 - (-39 + 23)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -48025, -48023, -48021, -48019, -48017?\nAnswer: -48015","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 13253123 (base 6) to base 7\nAnswer: 3522324","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 201441496 to the power of 1\/2, to the nearest integer?\nAnswer: 14193","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 648, 656, 676, 714, 776, 868?\nAnswer: 996","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (36\/15)\/(1\/20) is divided by ((-6)\/(-4))\/((-3)\/(-20)).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 353 minutes after 8:23 AM?\nAnswer: 2:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1)\/(2944\/982 - 3) + 1. Let n be (w\/36)\/(10\/6). Which is greater: 9 or n?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 419 divide 1045405?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(4)\/(sqrt(18)\/(sqrt(9) - (sqrt(9) - -3*sqrt(9)))) - (-3 + sqrt(2) + 5)*3) + 1)**2.\nAnswer: 60*sqrt(2) + 97","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*f**3 - 40*f**2 - 855*f - 810.\nAnswer: 5*(f - 18)*(f + 1)*(f + 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/k**(6\/13))\/k)**20\/(k**(-2)*k*k*((k**(-1\/6)*k)\/k)\/k) assuming k is positive.\nAnswer: k**(-629\/78)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10215827?\nAnswer: 17, 600931","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-39 + 21)\/(4\/2 + -1). Let r = b + 118. Calculate the greatest common divisor of r and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 6.911 - 0.111. Let k = 6.7 - f. Let v = 0.2 - 0.2. What is the closest to k in -9, 2\/3, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 40 + 11333323104?\nAnswer: 11333323144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 5*y + 27. What is v(0)?\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4005 and 367043031.\nAnswer: 801","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2011 - 1052. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.14 (b) -4 (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 38 and 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -3*r**2 - 7*r - 4. Let o(x) = 3*x**2 + 6*x + 3. Suppose 0 = -a - 4 - 2. Calculate a*o(i) - 5*m(i).\nAnswer: -3*i**2 - i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1 + -1.08. Let u(h) = 494*h + 41493. Let m be u(-84). Sort -5, d, -4\/9, m.\nAnswer: -5, m, -4\/9, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -2 (b) 0.1 (c) 1 (d) -0.136\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 0\/(-2) + (-2)\/2. Let k(i) = i**2 - i. Let o be k(h). Suppose -5*q + 0*u = u, -o*q = -3*u. Solve 5*w + v - 17 = q, -5*w + 25 = -3*v - 4 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:38 AM and 2:08 AM?\nAnswer: 90","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 85*j**2 + 2*j + 1. Let q(s) = 81*s**2 + s. Let u(t) = 4*q(t) - 3*z(t). Suppose 2*a + 3*a = -4*b + 11, -3*a = -2*b + 11. Does 17 divide u(a)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 496 and 1752016?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*o**2 - 92*o + 91*o - 193*o - o**3 + 2*o**2.\nAnswer: -o**3 + 6*o**2 - 194*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.3 * 0.5.\nAnswer: 0.65","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1834540?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o = 6*g - 6*o + 204, -274*g + 273*g - 76 = -2*o for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 4068 to the power of 1\/2, to the nearest integer?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 321024041.\nAnswer: 13, 23, 193, 5563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 429.5 - 333. Let s = r - 97. Let j be (-2)\/(-12) + 1\/(-2). Sort j, s, 1 in descending order.\nAnswer: 1, j, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -230*c + 6227305 - 360925 = 0. What is the units digit of c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + r = 3613, 4*g + 5075 - 12322 = 5*r. What is the thousands digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 101341969 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 1\/10 of a centimeter?\nAnswer: 1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 340 = 5*n - 3*n, 0 = 3*r + 3*n - 195. Suppose 5*l + r = 5*v, -94 = -4*v - l - 28. Calculate the remainder when 46 is divided by v.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 908945006?\nAnswer: 2, 454472503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*l**2 + 0*l**2 - 5 + 5.\nAnswer: -2*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 3, k: 3, m: 8, l: 1, j: 3}. Give prob of sequence klj.\nAnswer: 1\/544","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -16*u - 900. Let s(y) = -13*y - 905. What is 4*m(q) - 5*s(q)?\nAnswer: q + 925","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 18 - 18. Solve o = -a - 3*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6115?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (1\/42*6)\/1*-1. Let d = -14.9 + -0.1. Let b = -20 - d. What is the biggest value in 0, b, i?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 200 = 12*i. Suppose -i*n = -16*n - 1556. What is the hundreds digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.1585 to two dps.\nAnswer: -0.16","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1647 - 1646.8. Let f be (-4)\/10 + 192\/430. Sort f, k, 3.\nAnswer: f, k, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -2*o**2 + 51*o + 6. Let r(s) = s**2. Determine h(r(x)).\nAnswer: -2*x**4 + 51*x**2 + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 56 - 28 = 0. Let s = -5144 - -5235. What is the least common multiple of s and b?\nAnswer: 364","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 585980 - 585980 + 4*d**3 + 6*d**2 + (0 - d**2 + 0)*(4 - 4 - d) + 0*d**3 + 3*d**3 + 0*d**3 to a*d**3 + t*d + y + c*d**2 and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0, 0.036, -0.06, -0.044?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3867040218?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 v when two letters picked without replacement from zvzv.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -22, -2, -7 in ascending order.\nAnswer: -22, -7, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:06 PM and 10:28 PM?\nAnswer: 202","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 148247 to the power of 1\/2, to the nearest integer?\nAnswer: 385","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z - 5 = -2*z, 2*z = 3*u - 7 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 128580 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -23 (b) 0.5 (c) -0.7 (d) -3\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 4\/(-14) + 32\/14. Let a = 4 - 3. Calculate the highest common divisor of z and a.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -56, -5, -1, 4, 0, -6 in descending order.\nAnswer: 4, 0, -1, -5, -6, -56","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 6*t**2 - 3*t - 2. Suppose -16*f + 12 = -16 - 36. Let v(n) = -6*n**2 + 3*n + 2. Give f*v(m) + 3*a(m).\nAnswer: -6*m**2 + 3*m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 2025.3 from 0.3.\nAnswer: -2025","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2*(-2)\/(-10))\/(610\/(-915)).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 13763 - 3?\nAnswer: 13760","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 36.94940231 to three decimal places.\nAnswer: 36.949","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 3*n - 4)*(3 - 1 - 5) - 247 + 247 - 10*n - 4*n + 0*n - 2*n + (-2*n - 2*n + 5*n)*(0 + 0 - 2).\nAnswer: -27*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 3*b - 4 = 0. Let z(p) = 6*p**3 + 4*p**2 + 5. Suppose 5*t = 21 - 6. Let g(o) = -o**3 + 4 + 3*o**3 + 3*o**3 + t*o**2. What is b*g(v) - 3*z(v)?\nAnswer: 2*v**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 465 + -1?\nAnswer: 464","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -329.497 rounded to 0 dps?\nAnswer: -329","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -11617800 to the nearest one hundred thousand.\nAnswer: -11600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2247288?\nAnswer: 2, 3, 93637","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 - (-7 + 2 + 2 + -1)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 24 = -102. Calculate the lowest common multiple of 20 and (-518)\/h - 4\/18.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -8 - -16. Let r = 13 - j. Suppose o + 3*o = r*y - 15, 15 = 2*o + 5*y. What is the closest to 0.1 in o, -2\/3, 2?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 15 + 0 - (214 - 201). Solve -2*l - 1 - 1 = -a*c, 0 = -5*c - l + 23 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5438790 is divided by 6023.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*j**3\/7 + 14772*j**2\/7 - 28976064*j\/7 + 6175445056\/7.\nAnswer: -2*(j - 3572)**2*(j - 242)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 10, s: 6, y: 4}. What is prob of picking 3 r and 1 s?\nAnswer: 48\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2132080.\nAnswer: 2, 5, 29, 919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 85417?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -13.7 - -14. Which is the closest to 0? (a) -0.1 (b) 0.5 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -33, -49, -79, -129, -205, -313, -459, -649?\nAnswer: -889","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*k**5\/3 + 66*k**4 + 272*k**3 + 824*k**2\/3.\nAnswer: -2*k**2*(k - 103)*(k + 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1821814 is divided by 28?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*v**3 - 2*v**2 - 1190*v + 315709 with respect to v.\nAnswer: 6*v**2 - 4*v - 1190","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 41099 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -3*v - 5. Let t(j) = 5 + 7*j + 7 + 3 - 4. Let n(h) = 5*l(h) + 2*t(h). Let k(y) = -y - 4. Give 5*k(c) - 6*n(c).\nAnswer: c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = j + 37. Let m(d) = -2*d**2 - 7*d + 10. Let c be m(-5). Let i be x(c). Let q = 26 - i. Let h(o) = o**2 + 3*o - 8. Calculate h(q).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -116 + 246. Suppose -8*a = -3*a - f. Suppose c = -c + a. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 1.215262 centimeters?\nAnswer: 12152620","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -55 + 15 = -5*s. Calculate the greatest common divisor of 88 and s.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1*(18\/(-3))\/2?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 2, h: 2, w: 1, a: 1, u: 2}. What is prob of picking 1 h, 1 w, 1 f, and 1 u?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 23*f*g*y**2 + f*g + 480*f*y**2 + 2 wrt g.\nAnswer: 23*f*y**2 + f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -v**2 - 2*v + 1. Let h be c(-2). Let o be ((-4)\/48)\/((-2)\/18). What is the closest to h in 2\/7, o, -4?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 14 + -57\/4. Let q = -2193\/2 + 1123. Calculate the common denominator of z and q.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h = 4*u - 52, -36 = -2*u - 2*u + 4*h. Calculate the smallest common multiple of u and 3.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 14603, 14601, 14599, 14597?\n\"Answer: -2*s + 14605","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 222\/(-407) - 18\/(-33). Solve -34*z - 60 - 178 = g for z.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11917 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*q**4 + 112*q**3 + 12373*q**2 + 8175016*q?\nAnswer: -36*q**2 + 672*q + 24746","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = -0*x + 10. Let s(v) = v**2 + 20*v + 64. Let r be s(-6). Let c be 186\/x - (-4)\/r. Round c to the nearest 10.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2, 471, 0.3, 1\/7?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 0.5 (b) 2\/31 (c) 2\/5 (d) 0.3 (e) 0.063\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*p - 10*h - 6, -2*h + 84321 = -2*p + 84311 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 132 + 54. Suppose -2*r + w = -6*h + 10*h, r - 2*h = 85. Calculate the remainder when r is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -11, -54, -131, -242, -387, -566?\n\"Answer: -17*a**2 + 8*a - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14468.\nAnswer: 2, 3617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 1634?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -76acb (base 13) in base 8?\nAnswer: -643666","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5727 + -1448. Calculate the greatest common factor of y and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 3, -242, 4, -5, 0, 18 in decreasing order.\nAnswer: 18, 4, 3, 0, -3, -5, -242","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 94003233 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"}